Strict Standards: Non-static method JFactory::getDocument() should not be called statically in /data04/aroberts/public_html/components/com_agora/include/functions.php on line 20
Strict Standards: Non-static method JModuleHelper::getModules() should not be called statically in /data04/aroberts/public_html/components/com_agora/include/functions.php on line 25
Strict Standards: Non-static method JModuleHelper::_load() should not be called statically in /data04/aroberts/public_html/libraries/joomla/application/module/helper.php on line 88
Strict Standards: Non-static method JRequest::getBool() should not be called statically in /data04/aroberts/public_html/libraries/joomla/application/module/helper.php on line 97
Strict Standards: Non-static method JRequest::getVar() should not be called statically in /data04/aroberts/public_html/libraries/joomla/environment/request.php on line 217
Strict Standards: Non-static method JRequest::_cleanVar() should not be called statically in /data04/aroberts/public_html/libraries/joomla/environment/request.php on line 151
Strict Standards: Non-static method JFilterInput::getInstance() should not be called statically in /data04/aroberts/public_html/libraries/joomla/environment/request.php on line 577
Strict Standards: Non-static method JFactory::getDocument() should not be called statically, assuming $this from incompatible context in
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Pages: 1
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Strict Standards: Non-static method JRoute::_() should not be called statically in
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Strict Standards: Non-static method JFactory::getApplication() should not be called statically in
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Strict Standards: Non-static method JFactory::getConfig() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JLoader::import() should not be called statically in
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Strict Standards: Non-static method JRouter::getInstance() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JError::isError() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JSite::getMenu() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JApplication::getMenu() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JLoader::import() should not be called statically in
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Strict Standards: Non-static method JMenu::getInstance() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JError::isError() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JURI::base() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JURI::getInstance() should not be called statically in
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Strict Standards: Non-static method JRoute::_() should not be called statically in
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Strict Standards: Non-static method JFactory::getConfig() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JLoader::import() should not be called statically in
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Strict Standards: Non-static method JError::isError() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JLoader::import() should not be called statically in
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Strict Standards: Non-static method JMenu::getInstance() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JURI::base() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JURI::getInstance() should not be called statically in
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Strict Standards: Non-static method JRoute::_() should not be called statically in
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Strict Standards: Non-static method JFactory::getConfig() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JLoader::import() should not be called statically in
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Strict Standards: Non-static method JError::isError() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JSite::getMenu() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JApplication::getMenu() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JLoader::import() should not be called statically in
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Strict Standards: Non-static method JMenu::getInstance() should not be called statically, assuming $this from incompatible context in
/data04/aroberts/public_html/libraries/joomla/application/application.php on line
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Strict Standards: Non-static method JError::isError() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JURI::base() should not be called statically, assuming $this from incompatible context in
/data04/aroberts/public_html/includes/router.php on line
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Warning: date(): It is not safe to rely on the system's timezone settings. You are *required* to use the date.timezone setting or the date_default_timezone_set() function. In case you used any of those methods and you are still getting this warning, you most likely misspelled the timezone identifier. We selected the timezone 'UTC' for now, but please set date.timezone to select your timezone. in
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Strict Standards: Non-static method JFactory::getApplication() should not be called statically in
/data04/aroberts/public_html/libraries/joomla/methods.php on line
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Strict Standards: Non-static method JFactory::getConfig() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JLoader::import() should not be called statically in
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Strict Standards: Non-static method JRouter::getInstance() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JError::isError() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JSite::getMenu() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JApplication::getMenu() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JLoader::import() should not be called statically in
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Strict Standards: Non-static method JMenu::getInstance() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JError::isError() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JURI::base() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JURI::getInstance() should not be called statically in
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Strict Standards: Non-static method JRoute::_() should not be called statically in
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Strict Standards: Non-static method JFactory::getApplication() should not be called statically in
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Strict Standards: Non-static method JFactory::getConfig() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JLoader::import() should not be called statically in
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Strict Standards: Non-static method JRouter::getInstance() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JError::isError() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JSite::getMenu() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JApplication::getMenu() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JLoader::import() should not be called statically in
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Strict Standards: Non-static method JMenu::getInstance() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JError::isError() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JURI::base() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JURI::getInstance() should not be called statically in
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Strict Standards: Non-static method JRoute::_() should not be called statically in
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Strict Standards: Non-static method JFactory::getApplication() should not be called statically in
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Strict Standards: Non-static method JFactory::getConfig() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JLoader::import() should not be called statically in
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Strict Standards: Non-static method JRouter::getInstance() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JError::isError() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JSite::getMenu() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JApplication::getMenu() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JLoader::import() should not be called statically in
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Strict Standards: Non-static method JMenu::getInstance() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JError::isError() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JURI::base() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JURI::getInstance() should not be called statically in
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Strict Standards: Non-static method JRoute::_() should not be called statically in
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Strict Standards: Non-static method JFactory::getApplication() should not be called statically in
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Strict Standards: Non-static method JFactory::getConfig() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JLoader::import() should not be called statically in
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Strict Standards: Non-static method JRouter::getInstance() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JError::isError() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JSite::getMenu() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JApplication::getMenu() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JLoader::import() should not be called statically in
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Strict Standards: Non-static method JMenu::getInstance() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JError::isError() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JURI::base() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JURI::getInstance() should not be called statically in
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Strict Standards: Non-static method JRoute::_() should not be called statically in
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Strict Standards: Non-static method JFactory::getApplication() should not be called statically in
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Strict Standards: Non-static method JFactory::getConfig() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JLoader::import() should not be called statically in
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Strict Standards: Non-static method JRouter::getInstance() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JError::isError() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JSite::getMenu() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JApplication::getMenu() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JLoader::import() should not be called statically in
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Strict Standards: Non-static method JMenu::getInstance() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JError::isError() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JURI::base() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JURI::getInstance() should not be called statically in
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Strict Standards: Non-static method JRoute::_() should not be called statically in
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Strict Standards: Non-static method JFactory::getApplication() should not be called statically in
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Strict Standards: Non-static method JFactory::getConfig() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JLoader::import() should not be called statically in
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Strict Standards: Non-static method JRouter::getInstance() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JError::isError() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JSite::getMenu() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JApplication::getMenu() should not be called statically, assuming $this from incompatible context in
/data04/aroberts/public_html/includes/application.php on line
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Strict Standards: Non-static method JLoader::import() should not be called statically in
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Strict Standards: Non-static method JMenu::getInstance() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JError::isError() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JURI::base() should not be called statically, assuming $this from incompatible context in
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|
Group Theory
Warning: Creating default object from empty value in /data04/aroberts/public_html/components/com_agora/viewtopic.php on line 597
Strict Standards: Non-static method JPluginHelper::importPlugin() should not be called statically, assuming $this from incompatible context in /data04/aroberts/public_html/components/com_agora/viewtopic.php on line 598
Strict Standards: Non-static method JPluginHelper::_load() should not be called statically, assuming $this from incompatible context in /data04/aroberts/public_html/libraries/joomla/plugin/helper.php on line 92
Strict Standards: Non-static method JPluginHelper::_import() should not be called statically, assuming $this from incompatible context in /data04/aroberts/public_html/libraries/joomla/plugin/helper.php on line 97
Strict Standards: Non-static method JLoader::import() should not be called statically in /data04/aroberts/public_html/libraries/loader.php on line 186
Strict Standards: Non-static method JLoader::import() should not be called statically in /data04/aroberts/public_html/libraries/loader.php on line 186
Strict Standards: Non-static method JLoader::import() should not be called statically in /data04/aroberts/public_html/libraries/loader.php on line 186
Strict Standards: Non-static method JPluginHelper::_import() should not be called statically, assuming $this from incompatible context in /data04/aroberts/public_html/libraries/joomla/plugin/helper.php on line 97
Strict Standards: Non-static method JLoader::import() should not be called statically in /data04/aroberts/public_html/libraries/loader.php on line 186
Strict Standards: Non-static method JDispatcher::getInstance() should not be called statically, assuming $this from incompatible context in /data04/aroberts/public_html/libraries/joomla/application/application.php on line 486
Strict Standards: Non-static method JPluginHelper::_import() should not be called statically, assuming $this from incompatible context in /data04/aroberts/public_html/libraries/joomla/plugin/helper.php on line 97
Strict Standards: Non-static method JLoader::import() should not be called statically in /data04/aroberts/public_html/libraries/loader.php on line 186
Strict Standards: Non-static method JDispatcher::getInstance() should not be called statically, assuming $this from incompatible context in /data04/aroberts/public_html/libraries/joomla/application/application.php on line 486
Strict Standards: Non-static method JPluginHelper::_import() should not be called statically, assuming $this from incompatible context in /data04/aroberts/public_html/libraries/joomla/plugin/helper.php on line 97
Strict Standards: Non-static method JLoader::import() should not be called statically in /data04/aroberts/public_html/libraries/loader.php on line 186
Strict Standards: Non-static method JDispatcher::getInstance() should not be called statically, assuming $this from incompatible context in /data04/aroberts/public_html/libraries/joomla/application/application.php on line 486
Strict Standards: Non-static method JPluginHelper::_import() should not be called statically, assuming $this from incompatible context in /data04/aroberts/public_html/libraries/joomla/plugin/helper.php on line 97
Strict Standards: Non-static method JLoader::import() should not be called statically in /data04/aroberts/public_html/libraries/loader.php on line 186
Strict Standards: Non-static method JDispatcher::getInstance() should not be called statically, assuming $this from incompatible context in /data04/aroberts/public_html/libraries/joomla/application/application.php on line 486
Strict Standards: Non-static method JPluginHelper::_import() should not be called statically, assuming $this from incompatible context in /data04/aroberts/public_html/libraries/joomla/plugin/helper.php on line 97
Strict Standards: Non-static method JLoader::import() should not be called statically in /data04/aroberts/public_html/libraries/loader.php on line 186
Strict Standards: Non-static method JDispatcher::getInstance() should not be called statically, assuming $this from incompatible context in /data04/aroberts/public_html/libraries/joomla/application/application.php on line 486
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Right well ive been signed up to help someone do a talk about group theory in terms of symmeetry. Mostly because he wantas to do the physics side of it.
I was wondering if any of the mathematicians among you could help me understand this. ANy help would be appreciated
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Warning: date(): It is not safe to rely on the system's timezone settings. You are *required* to use the date.timezone setting or the date_default_timezone_set() function. In case you used any of those methods and you are still getting this warning, you most likely misspelled the timezone identifier. We selected the timezone 'UTC' for now, but please set date.timezone to select your timezone. in
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Re: Group Theory
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lol Group Theory.
I took a course in it as part of my Physics degree (geting on for 6 years ago now), so I'd probably be a bit rusty now not sure how much like riding a bike remember the difference between a periodic and solvable group is
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Where the **** did I put my tape measure???
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Warning: date(): It is not safe to rely on the system's timezone settings. You are *required* to use the date.timezone setting or the date_default_timezone_set() function. In case you used any of those methods and you are still getting this warning, you most likely misspelled the timezone identifier. We selected the timezone 'UTC' for now, but please set date.timezone to select your timezone. in
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Re: Group Theory
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I did a course last year on group theory in physics and am currently going over it in another course. I'll be happy to (try to) answer any questions you have. Is it a maths or a physics course? Do you have any specific questions or just a general WTF?
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Warning: date(): It is not safe to rely on the system's timezone settings. You are *required* to use the date.timezone setting or the date_default_timezone_set() function. In case you used any of those methods and you are still getting this warning, you most likely misspelled the timezone identifier. We selected the timezone 'UTC' for now, but please set date.timezone to select your timezone. in
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Re: Group Theory
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cheers tht would be great. im finding relating group theory to symmetry quite hard. Once it reaches cyclic groups im really struggling to understand. Its for a mathmatic talk btw and im still doing my a levels so quite reassuriing to hear people encountering it in their degrees.
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Warning: date(): It is not safe to rely on the system's timezone settings. You are *required* to use the date.timezone setting or the date_default_timezone_set() function. In case you used any of those methods and you are still getting this warning, you most likely misspelled the timezone identifier. We selected the timezone 'UTC' for now, but please set date.timezone to select your timezone. in
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Re: Group Theory
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The symmetry of an object can be described by some operation (say a rotation) that leaves the object unchanged. The set of these operations (rotations) form a group. Once you've made the symmetry group you can use the framework of group theory to analyze and develop the maths of the symmetry.
One of the simplest groups is the C(3) group, a cyclic group of order 3. Imagine an equilateral triangle where each side has an arrow directed counter-clockwise along it. There are four things you can do to it to leave it unchanged. Do nothing (e), rotate by 2pi/3 (c), rotate by 4pi/3(c^2) or rotate by 2pi(c^3 = e). This C(3) group is generated (made) by one element, the rotation by 2pi/3 (c), all the other elements are the same as applying c several times. That is why it is a cyclic group, you just apply the one element until you get back to where you started. This generalises to any n-sided polygon with directed sides.
Symmetries are important in physics because they imply there is an associated conservation (a conserved quantity also implies a symmetry). This is known as Noether's Theorem.
Hope that helped.
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Warning: date(): It is not safe to rely on the system's timezone settings. You are *required* to use the date.timezone setting or the date_default_timezone_set() function. In case you used any of those methods and you are still getting this warning, you most likely misspelled the timezone identifier. We selected the timezone 'UTC' for now, but please set date.timezone to select your timezone. in
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Re: Group Theory
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Ha I remember looking at this as a course option but decided fluid mechanics looked more interesting. That just sounds weird!
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Warning: date(): It is not safe to rely on the system's timezone settings. You are *required* to use the date.timezone setting or the date_default_timezone_set() function. In case you used any of those methods and you are still getting this warning, you most likely misspelled the timezone identifier. We selected the timezone 'UTC' for now, but please set date.timezone to select your timezone. in
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Re: Group Theory
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The Fallen Angel wrote:decided fluid mechanics looked more interesting.
To the Pub!
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Warning: date(): It is not safe to rely on the system's timezone settings. You are *required* to use the date.timezone setting or the date_default_timezone_set() function. In case you used any of those methods and you are still getting this warning, you most likely misspelled the timezone identifier. We selected the timezone 'UTC' for now, but please set date.timezone to select your timezone. in
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Strict Standards: Non-static method JLoader::import() should not be called statically in
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Strict Standards: Non-static method JSite::getMenu() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JLoader::import() should not be called statically in
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Strict Standards: Non-static method JURI::base() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JFactory::getConfig() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JLoader::import() should not be called statically in
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Strict Standards: Non-static method JError::isError() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JSite::getMenu() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JApplication::getMenu() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JLoader::import() should not be called statically in
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Strict Standards: Non-static method JError::isError() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JURI::base() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JRoute::_() should not be called statically in
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Strict Standards: Non-static method JFactory::getConfig() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JLoader::import() should not be called statically in
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Strict Standards: Non-static method JRouter::getInstance() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JError::isError() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JSite::getMenu() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JApplication::getMenu() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JLoader::import() should not be called statically in
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Strict Standards: Non-static method JMenu::getInstance() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JURI::base() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JRoute::_() should not be called statically in
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Strict Standards: Non-static method JError::isError() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JURI::base() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JLoader::import() should not be called statically in
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Re: Group Theory
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Strict Standards: Non-static method JDispatcher::getInstance() should not be called statically, assuming $this from incompatible context in /data04/aroberts/public_html/libraries/joomla/application/application.php on line 501
Strict Standards: Non-static method JString::strpos() should not be called statically in /data04/aroberts/public_html/plugins/content/emailcloak.php on line 67
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Strict Standards: Non-static method JPluginHelper::_load() should not be called statically in /data04/aroberts/public_html/libraries/joomla/plugin/helper.php on line 41
Strict Standards: Non-static method JRegistryFormat::getInstance() should not be called statically, assuming $this from incompatible context in /data04/aroberts/public_html/libraries/joomla/registry/registry.php on line 373
Strict Standards: Non-static method JFilterInput::clean() should not be called statically, assuming $this from incompatible context in /data04/aroberts/public_html/libraries/joomla/registry/format.php on line 45
Strict Standards: Non-static method JRequest::getBool() should not be called statically in /data04/aroberts/public_html/plugins/content/pagebreak.php on line 42
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Strict Standards: Non-static method JRequest::_cleanVar() should not be called statically in /data04/aroberts/public_html/libraries/joomla/environment/request.php on line 151
Strict Standards: Non-static method JFilterInput::getInstance() should not be called statically in /data04/aroberts/public_html/libraries/joomla/environment/request.php on line 577
Strict Standards: Non-static method JRequest::getBool() should not be called statically in /data04/aroberts/public_html/plugins/content/pagebreak.php on line 43
Strict Standards: Non-static method JRequest::getVar() should not be called statically in /data04/aroberts/public_html/libraries/joomla/environment/request.php on line 217
Strict Standards: Non-static method JRequest::_cleanVar() should not be called statically in /data04/aroberts/public_html/libraries/joomla/environment/request.php on line 151
Strict Standards: Non-static method JFilterInput::getInstance() should not be called statically in /data04/aroberts/public_html/libraries/joomla/environment/request.php on line 577
cheers matt thts a lot of help
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Pages: 1
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Strict Standards: Non-static method JSite::getMenu() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JLoader::import() should not be called statically in
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Strict Standards: Non-static method JError::isError() should not be called statically, assuming $this from incompatible context in
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Strict Standards: Non-static method JFactory::getDocument() should not be called statically in /data04/aroberts/public_html/components/com_agora/include/functions.php on line 20
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Strict Standards: Non-static method JRequest::getBool() should not be called statically in /data04/aroberts/public_html/libraries/joomla/application/module/helper.php on line 97
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Strict Standards: Non-static method JRequest::_cleanVar() should not be called statically in /data04/aroberts/public_html/libraries/joomla/environment/request.php on line 151
Strict Standards: Non-static method JFilterInput::getInstance() should not be called statically in /data04/aroberts/public_html/libraries/joomla/environment/request.php on line 577
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