Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Warning: Cannot modify header information - headers already sent by (output started at /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php:2627) in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/Feed/ChannelFeed.php on line 104
Warning: Cannot modify header information - headers already sent by (output started at /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php:2627) in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/Feed/ChannelFeed.php on line 109
Warning: Cannot modify header information - headers already sent by (output started at /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php:2627) in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/Request/WebResponse.php on line 80
Warning: Cannot modify header information - headers already sent by (output started at /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php:2627) in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/Request/WebResponse.php on line 80
Warning: Cannot modify header information - headers already sent by (output started at /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php:2627) in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/Request/WebResponse.php on line 80
Warning: Cannot modify header information - headers already sent by (output started at /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php:2627) in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/Request/WebResponse.php on line 80 https://qclab.korea.ac.kr/QCLab/index.php?action=history&feed=atom&title=Phase_phenomena_in_probabilistic_theoriesPhase phenomena in probabilistic theories - Revision history2025-12-18T17:15:26ZRevision history for this page on the wikiMediaWiki 1.43.0 Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627 https://qclab.korea.ac.kr/QCLab/index.php?title=Phase_phenomena_in_probabilistic_theories&diff=1420&oldid=prevMahnsoo.choi: Changed protection level for "Phase phenomena in probabilistic theories" ([Edit=⧼protect-level-board⧽] (indefinite) [Move=⧼protect-level-board⧽] (indefinite))2017-03-13T02:08:28Z<p>Changed protection level for "<a href="/QCLab/index.php/Phase_phenomena_in_probabilistic_theories" title="Phase phenomena in probabilistic theories">Phase phenomena in probabilistic theories</a>" ([Edit=⧼protect-level-board⧽] (indefinite) [Move=⧼protect-level-board⧽] (indefinite))</p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
<tr class="diff-title" lang="en">
<td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 02:08, 13 March 2017</td>
</tr><tr><td colspan="2" class="diff-notice" lang="en"><div class="mw-diff-empty">(No difference)</div>
</td></tr></table>Mahnsoo.choi Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581 https://qclab.korea.ac.kr/QCLab/index.php?title=Phase_phenomena_in_probabilistic_theories&diff=1418&oldid=prevMahnsoo.choi at 02:07, 13 March 20172017-03-13T02:07:28Z<p></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
<col class="diff-content" />
<tr class="diff-title" lang="en">
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 02:07, 13 March 2017</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td>
<td colspan="2" class="diff-lineno">Line 1:</td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">[[file:Dahlsten-O1.jpg|thumb|x300px|Prof. Oscar Dahlsten (University of Oxford, UK)]]</ins></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Colloquiums]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Colloquiums]]</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Seminars]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Seminars]]</div></td></tr>
</table>Mahnsoo.choi Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581 https://qclab.korea.ac.kr/QCLab/index.php?title=Phase_phenomena_in_probabilistic_theories&diff=1392&oldid=prevMahnsoo.choi at 06:02, 7 March 20172017-03-07T06:02:57Z<p></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
<col class="diff-content" />
<tr class="diff-title" lang="en">
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 06:02, 7 March 2017</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td>
<td colspan="2" class="diff-lineno">Line 1:</td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">[[Category:Colloquiums]]</ins></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Seminars]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Seminars]]</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Speaker: [[Dahlsten, Oscar]] (University of Oxford)</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Speaker: [[Dahlsten, Oscar]] (University of Oxford)</div></td></tr>
</table>Mahnsoo.choi Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
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Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581 https://qclab.korea.ac.kr/QCLab/index.php?title=Phase_phenomena_in_probabilistic_theories&diff=509&oldid=prevMahnsoo.choi at 22:37, 10 October 20152015-10-10T22:37:51Z<p></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 22:37, 10 October 2015</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l3">Line 3:</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Date: November 18, 2014</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Date: November 18, 2014</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Place: Science Building 433</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Place: Science Building 433</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">* Abstract: </del>Phase plays a crucial role in many quantum effects including interference. We study phase in probabilistic theories more generally, in order to gain a deeper understanding of phase in quantum theory as well as to consider what could happen in post-quantum scenarios. Phase is normally defined in terms of complex numbers that appear when representing quantum states as complex vectors. Here we give an operational definition whereby phase is instead defined in terms of measurement statistics. The definition makes it possible to ask whether other (convex) probabilistic theories can also have phase and associated phenomena. We use it to explore hypothetical post-quantum particles going through interferometers and find that theories need something like the quantum uncertainty relation between position and unbiased measurements in order to have non-trivial interference, or else they would violate a type of Einstein locality which we dub ‘Branch Locality’. We moreover explore the phase that arises from exchanging particles in scenarios where particles are guaranteed to be indistinguishable but not necessarily quantum. We begin to investigate what new types of particles could exist in such scenarios.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Phase plays a crucial role in many quantum effects including interference. We study phase in probabilistic theories more generally, in order to gain a deeper understanding of phase in quantum theory as well as to consider what could happen in post-quantum scenarios. Phase is normally defined in terms of complex numbers that appear when representing quantum states as complex vectors. Here we give an operational definition whereby phase is instead defined in terms of measurement statistics. The definition makes it possible to ask whether other (convex) probabilistic theories can also have phase and associated phenomena. We use it to explore hypothetical post-quantum particles going through interferometers and find that theories need something like the quantum uncertainty relation between position and unbiased measurements in order to have non-trivial interference, or else they would violate a type of Einstein locality which we dub ‘Branch Locality’. We moreover explore the phase that arises from exchanging particles in scenarios where particles are guaranteed to be indistinguishable but not necessarily quantum. We begin to investigate what new types of particles could exist in such scenarios.</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Based on: arXiv:1206.5702 (NJP), arXiv:1304.5977 (NCOMMS), arXiv:1307.2529 </div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Based on: arXiv:1206.5702 (NJP), arXiv:1304.5977 (NCOMMS), arXiv:1307.2529 </div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Joint work with Garner, Murao, Nakata and Vedral.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Joint work with Garner, Murao, Nakata and Vedral.</div></td></tr>
</table>Mahnsoo.choi Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
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Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581 https://qclab.korea.ac.kr/QCLab/index.php?title=Phase_phenomena_in_probabilistic_theories&diff=484&oldid=prevMahnsoo.choi: Protected "Phase phenomena in probabilistic theories" ([Edit=<protect-level-committee>] (indefinite) [Move=<protect-level-committee>] (indefinite))2015-10-09T07:59:36Z<p>Protected "<a href="/QCLab/index.php/Phase_phenomena_in_probabilistic_theories" title="Phase phenomena in probabilistic theories">Phase phenomena in probabilistic theories</a>" ([Edit=<protect-level-committee>] (indefinite) [Move=<protect-level-committee>] (indefinite))</p>
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<td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 07:59, 9 October 2015</td>
</tr><tr><td colspan="2" class="diff-notice" lang="en"><div class="mw-diff-empty">(No difference)</div>
</td></tr></table>Mahnsoo.choi Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
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Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
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Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
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Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
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Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
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Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
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Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581 https://qclab.korea.ac.kr/QCLab/index.php?title=Phase_phenomena_in_probabilistic_theories&diff=474&oldid=prevMahnsoo.choi at 07:49, 9 October 20152015-10-09T07:49:32Z<p></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
<col class="diff-content" />
<tr class="diff-title" lang="en">
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 07:49, 9 October 2015</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l6">Line 6:</td>
<td colspan="2" class="diff-lineno">Line 6:</td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Based on: arXiv:1206.5702 (NJP), arXiv:1304.5977 (NCOMMS), arXiv:1307.2529 </div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Based on: arXiv:1206.5702 (NJP), arXiv:1304.5977 (NCOMMS), arXiv:1307.2529 </div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Joint work with Garner, Murao, Nakata and Vedral.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Joint work with Garner, Murao, Nakata and Vedral.</div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{Media/Button|Dahlsten14z.pdf|Download the slides}}</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{Media/Button|Dahlsten14z.pdf|Download the slides}}</div></td></tr>
</table>Mahnsoo.choi Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
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Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
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Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581 https://qclab.korea.ac.kr/QCLab/index.php?title=Phase_phenomena_in_probabilistic_theories&diff=472&oldid=prevMahnsoo.choi at 07:48, 9 October 20152015-10-09T07:48:44Z<p></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 07:48, 9 October 2015</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Based on: arXiv:1206.5702 (NJP), arXiv:1304.5977 (NCOMMS), arXiv:1307.2529 </div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Based on: arXiv:1206.5702 (NJP), arXiv:1304.5977 (NCOMMS), arXiv:1307.2529 </div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Joint work with Garner, Murao, Nakata and Vedral.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Joint work with Garner, Murao, Nakata and Vedral.</div></td></tr>
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<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">{{Media/Button|Dahlsten14z.pdf|Download the slides}}</ins></div></td></tr>
</table>Mahnsoo.choi Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
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Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581 https://qclab.korea.ac.kr/QCLab/index.php?title=Phase_phenomena_in_probabilistic_theories&diff=471&oldid=prevMahnsoo.choi: Created page with "Category:Seminars * Speaker: Dahlsten, Oscar (University of Oxford) * Date: November 18, 2014 * Place: Science Building 433 * Abstract: Phase plays a crucial role in m..."2015-10-09T07:45:52Z<p>Created page with "<a href="/QCLab/index.php/Category:Seminars" title="Category:Seminars">Category:Seminars</a> * Speaker: <a href="/QCLab/index.php/Dahlsten,_Oscar" title="Dahlsten, Oscar">Dahlsten, Oscar</a> (University of Oxford) * Date: November 18, 2014 * Place: Science Building 433 * Abstract: Phase plays a crucial role in m..."</p>
<p><b>New page</b></p><div>[[Category:Seminars]]<br />
* Speaker: [[Dahlsten, Oscar]] (University of Oxford)<br />
* Date: November 18, 2014<br />
* Place: Science Building 433<br />
* Abstract: Phase plays a crucial role in many quantum effects including interference. We study phase in probabilistic theories more generally, in order to gain a deeper understanding of phase in quantum theory as well as to consider what could happen in post-quantum scenarios. Phase is normally defined in terms of complex numbers that appear when representing quantum states as complex vectors. Here we give an operational definition whereby phase is instead defined in terms of measurement statistics. The definition makes it possible to ask whether other (convex) probabilistic theories can also have phase and associated phenomena. We use it to explore hypothetical post-quantum particles going through interferometers and find that theories need something like the quantum uncertainty relation between position and unbiased measurements in order to have non-trivial interference, or else they would violate a type of Einstein locality which we dub ‘Branch Locality’. We moreover explore the phase that arises from exchanging particles in scenarios where particles are guaranteed to be indistinguishable but not necessarily quantum. We begin to investigate what new types of particles could exist in such scenarios.<br />
* Based on: arXiv:1206.5702 (NJP), arXiv:1304.5977 (NCOMMS), arXiv:1307.2529 <br />
* Joint work with Garner, Murao, Nakata and Vedral.</div>Mahnsoo.choi