Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one 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
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=Macroscopic_Quantumness_in_many-body_systemsMacroscopic Quantumness in many-body systems - Revision history2025-12-17T14:28:28ZRevision 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($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Warning: unexpected NAN value was coerced to string in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 3151
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
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Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2627 https://qclab.korea.ac.kr/QCLab/index.php?title=Macroscopic_Quantumness_in_many-body_systems&diff=2695&oldid=prevMahnsoo.choi at 04:39, 30 August 20192019-08-30T04:39:07Z<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 04:39, 30 August 2019</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l5">Line 5:</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;"><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>Quantum information theory opened a new perspective in quantum many-body physics. Entanglement has mainly been used to investigate many interesting phenomena in many-body physics. However, entanglement solely cannot reveal all different quantum properties of the states. Quantum superposition between macroscopic different states which is well illustrated in Schrödinger's cat paradox is one of such properties. In this talk, we first show that how the size of macroscopic quantum superposition can be measured and how this measure can be used to investigate the interesting physics in a many-body system. Using disordered quantum Heisenberg chain which alters between thermalization phase and many-body localization phase depending on the disorder strength, it is shown that a macroscopic quantum superposition disappears even in a closed system which can be understood using eigenstate thermalization hypothesis.</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>Quantum information theory opened a new perspective in quantum many-body physics. Entanglement has mainly been used to investigate many interesting phenomena in many-body physics. However, entanglement solely cannot reveal all different quantum properties of the states. Quantum superposition between macroscopic different states which is well illustrated in Schrödinger's cat paradox is one of such properties. In this talk, we first show that how the size of macroscopic quantum superposition can be measured and how this measure can be used to investigate the interesting physics in a many-body system. Using disordered quantum Heisenberg chain which alters between thermalization phase and many-body localization phase depending on the disorder strength, it is shown that a macroscopic quantum superposition disappears even in a closed system which can be understood using eigenstate thermalization hypothesis.</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;"></del></div></td><td colspan="2" class="diff-side-added"></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;">[[Test: A Colon Problem]]</del></div></td><td colspan="2" class="diff-side-added"></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|pcymacro.pdf|Talk 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|pcymacro.pdf|Talk 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
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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=Macroscopic_Quantumness_in_many-body_systems&diff=1865&oldid=prevMahnsoo.choi at 00:16, 1 November 20172017-11-01T00:16:35Z<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 00:16, 1 November 2017</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;"><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>Quantum information theory opened a new perspective in quantum many-body physics. Entanglement has mainly been used to investigate many interesting phenomena in many-body physics. However, entanglement solely cannot reveal all different quantum properties of the states. Quantum superposition between macroscopic different states which is well illustrated in Schrödinger's cat paradox is one of such properties. In this talk, we first show that how the size of macroscopic quantum superposition can be measured and how this measure can be used to investigate the interesting physics in a many-body system. Using disordered quantum Heisenberg chain which alters between thermalization phase and many-body localization phase depending on the disorder strength, it is shown that a macroscopic quantum superposition disappears even in a closed system which can be understood using eigenstate thermalization hypothesis.</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>Quantum information theory opened a new perspective in quantum many-body physics. Entanglement has mainly been used to investigate many interesting phenomena in many-body physics. However, entanglement solely cannot reveal all different quantum properties of the states. Quantum superposition between macroscopic different states which is well illustrated in Schrödinger's cat paradox is one of such properties. In this talk, we first show that how the size of macroscopic quantum superposition can be measured and how this measure can be used to investigate the interesting physics in a many-body system. Using disordered quantum Heisenberg chain which alters between thermalization phase and many-body localization phase depending on the disorder strength, it is shown that a macroscopic quantum superposition disappears even in a closed system which can be understood using eigenstate thermalization hypothesis.</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 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;">[[Test: A Colon Problem]]</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|pcymacro.pdf|Talk 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|pcymacro.pdf|Talk 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
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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=Macroscopic_Quantumness_in_many-body_systems&diff=676&oldid=prevJhgang at 07:08, 20 November 20152015-11-20T07:08:07Z<p></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 07:08, 20 November 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>Quantum information theory opened a new perspective in quantum many-body physics. Entanglement has mainly been used to investigate many interesting phenomena in many-body physics. However, entanglement solely cannot reveal all different quantum properties of the states. Quantum superposition between macroscopic different states which is well illustrated in Schrödinger's cat paradox is one of such properties. In this talk, we first show that how the size of macroscopic quantum superposition can be measured and how this measure can be used to investigate the interesting physics in a many-body system. Using disordered quantum Heisenberg chain which alters between thermalization phase and many-body localization phase depending on the disorder strength, it is shown that a macroscopic quantum superposition disappears even in a closed system which can be understood using eigenstate thermalization hypothesis.</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>Quantum information theory opened a new perspective in quantum many-body physics. Entanglement has mainly been used to investigate many interesting phenomena in many-body physics. However, entanglement solely cannot reveal all different quantum properties of the states. Quantum superposition between macroscopic different states which is well illustrated in Schrödinger's cat paradox is one of such properties. In this talk, we first show that how the size of macroscopic quantum superposition can be measured and how this measure can be used to investigate the interesting physics in a many-body system. Using disordered quantum Heisenberg chain which alters between thermalization phase and many-body localization phase depending on the disorder strength, it is shown that a macroscopic quantum superposition disappears even in a closed system which can be understood using eigenstate thermalization hypothesis.</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" 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>{{Media/Button|<del style="font-weight: bold; text-decoration: none;">macro</del>.pdf|Talk slides}}</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>{{Media/Button|<ins style="font-weight: bold; text-decoration: none;">pcymacro</ins>.pdf|Talk slides}}</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>[[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>[[Category: Young Scientists 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: Young Scientists Seminars]]</div></td></tr>
</table>Jhgang Deprecated: Constant E_STRICT is deprecated 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=Macroscopic_Quantumness_in_many-body_systems&diff=674&oldid=prevJhgang at 07:06, 20 November 20152015-11-20T07:06:30Z<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 07:06, 20 November 2015</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l6">Line 6:</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>Quantum information theory opened a new perspective in quantum many-body physics. Entanglement has mainly been used to investigate many interesting phenomena in many-body physics. However, entanglement solely cannot reveal all different quantum properties of the states. Quantum superposition between macroscopic different states which is well illustrated in Schrödinger's cat paradox is one of such properties. In this talk, we first show that how the size of macroscopic quantum superposition can be measured and how this measure can be used to investigate the interesting physics in a many-body system. Using disordered quantum Heisenberg chain which alters between thermalization phase and many-body localization phase depending on the disorder strength, it is shown that a macroscopic quantum superposition disappears even in a closed system which can be understood using eigenstate thermalization hypothesis.</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>Quantum information theory opened a new perspective in quantum many-body physics. Entanglement has mainly been used to investigate many interesting phenomena in many-body physics. However, entanglement solely cannot reveal all different quantum properties of the states. Quantum superposition between macroscopic different states which is well illustrated in Schrödinger's cat paradox is one of such properties. In this talk, we first show that how the size of macroscopic quantum superposition can be measured and how this measure can be used to investigate the interesting physics in a many-body system. Using disordered quantum Heisenberg chain which alters between thermalization phase and many-body localization phase depending on the disorder strength, it is shown that a macroscopic quantum superposition disappears even in a closed system which can be understood using eigenstate thermalization hypothesis.</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" 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>{{Media/Button|macro.<del style="font-weight: bold; text-decoration: none;">docx</del>|Talk slides}}</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>{{Media/Button|macro.<ins style="font-weight: bold; text-decoration: none;">pdf</ins>|Talk slides}}</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>[[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>[[Category: Young Scientists 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: Young Scientists Seminars]]</div></td></tr>
</table>Jhgang Deprecated: Constant E_STRICT is deprecated 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=Macroscopic_Quantumness_in_many-body_systems&diff=673&oldid=prevJhgang at 07:04, 20 November 20152015-11-20T07:04:11Z<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 07:04, 20 November 2015</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l6">Line 6:</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>Quantum information theory opened a new perspective in quantum many-body physics. Entanglement has mainly been used to investigate many interesting phenomena in many-body physics. However, entanglement solely cannot reveal all different quantum properties of the states. Quantum superposition between macroscopic different states which is well illustrated in Schrödinger's cat paradox is one of such properties. In this talk, we first show that how the size of macroscopic quantum superposition can be measured and how this measure can be used to investigate the interesting physics in a many-body system. Using disordered quantum Heisenberg chain which alters between thermalization phase and many-body localization phase depending on the disorder strength, it is shown that a macroscopic quantum superposition disappears even in a closed system which can be understood using eigenstate thermalization hypothesis.</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>Quantum information theory opened a new perspective in quantum many-body physics. Entanglement has mainly been used to investigate many interesting phenomena in many-body physics. However, entanglement solely cannot reveal all different quantum properties of the states. Quantum superposition between macroscopic different states which is well illustrated in Schrödinger's cat paradox is one of such properties. In this talk, we first show that how the size of macroscopic quantum superposition can be measured and how this measure can be used to investigate the interesting physics in a many-body system. Using disordered quantum Heisenberg chain which alters between thermalization phase and many-body localization phase depending on the disorder strength, it is shown that a macroscopic quantum superposition disappears even in a closed system which can be understood using eigenstate thermalization hypothesis.</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>
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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;"><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>[[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>[[Category: Young Scientists 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: Young Scientists Seminars]]</div></td></tr>
</table>Jhgang Deprecated: Constant E_STRICT is deprecated 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=Macroscopic_Quantumness_in_many-body_systems&diff=671&oldid=prevJhgang at 07:01, 20 November 20152015-11-20T07:01:03Z<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 07:01, 20 November 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;"><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>Quantum information theory opened a new perspective in quantum many-body physics. Entanglement has mainly been used to investigate many interesting phenomena in many-body physics. However, entanglement solely cannot reveal all different quantum properties of the states. Quantum superposition between macroscopic different states which is well illustrated in Schrödinger's cat paradox is one of such properties. In this talk, we first show that how the size of macroscopic quantum superposition can be measured and how this measure can be used to investigate the interesting physics in a many-body system. Using disordered quantum Heisenberg chain which alters between thermalization phase and many-body localization phase depending on the disorder strength, it is shown that a macroscopic quantum superposition disappears even in a closed system which can be understood using eigenstate thermalization hypothesis.</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>Quantum information theory opened a new perspective in quantum many-body physics. Entanglement has mainly been used to investigate many interesting phenomena in many-body physics. However, entanglement solely cannot reveal all different quantum properties of the states. Quantum superposition between macroscopic different states which is well illustrated in Schrödinger's cat paradox is one of such properties. In this talk, we first show that how the size of macroscopic quantum superposition can be measured and how this measure can be used to investigate the interesting physics in a many-body system. Using disordered quantum Heisenberg chain which alters between thermalization phase and many-body localization phase depending on the disorder strength, it is shown that a macroscopic quantum superposition disappears even in a closed system which can be understood using eigenstate thermalization hypothesis.</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|macro|Talk slides}}</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>[[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>[[Category: Young Scientists 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: Young Scientists Seminars]]</div></td></tr>
</table>Jhgang Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one 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($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($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/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($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/Language.php on line 2581
Deprecated: Constant E_STRICT is deprecated since 8.4, the error level was removed in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/exception/MWExceptionHandler.php on line 298
Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($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($str[0]) instead in /Library/WebServer/Sites/MediaWiki/mediawiki-1.43.0/includes/language/MessageCache.php on line 198
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Deprecated: ord(): Providing a string that is not one byte long is deprecated. Use ord($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=Macroscopic_Quantumness_in_many-body_systems&diff=598&oldid=prevJhgang at 03:40, 21 October 20152015-10-21T03:40:54Z<p></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
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<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 03:40, 21 October 2015</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l2">Line 2:</td>
<td colspan="2" class="diff-lineno">Line 2:</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>* Date: Thursday November 5, 2015 16:30</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: Thursday November 5, 2015 16:30</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: BK21 Seminar Rooom</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: BK21 Seminar Rooom</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>Quantum information theory opened a new perspective in quantum many-body physics. Entanglement has mainly been used to investigate many interesting phenomena in many-body physics. However, entanglement solely cannot reveal all different quantum properties of the states. Quantum superposition between macroscopic different states which is well illustrated in Schrödinger's cat paradox is one of such properties. In this talk, we first show that how the size of macroscopic quantum superposition can be measured and how this measure can be used to investigate the interesting physics in a many-body system. Using disordered quantum Heisenberg chain which alters between thermalization phase and many-body localization phase depending on the disorder strength, it is shown that a macroscopic quantum superposition disappears even in a closed system which can be understood using eigenstate thermalization hypothesis.</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>Quantum information theory opened a new perspective in quantum many-body physics. Entanglement has mainly been used to investigate many interesting phenomena in many-body physics. However, entanglement solely cannot reveal all different quantum properties of the states. Quantum superposition between macroscopic different states which is well illustrated in Schrödinger's cat paradox is one of such properties. In this talk, we first show that how the size of macroscopic quantum superposition can be measured and how this measure can be used to investigate the interesting physics in a many-body system. Using disordered quantum Heisenberg chain which alters between thermalization phase and many-body localization phase depending on the disorder strength, it is shown that a macroscopic quantum superposition disappears even in a closed system which can be understood using eigenstate thermalization hypothesis.</div></td></tr>
</table>Jhgang