Warning (2): file_get_contents(): https:// wrapper is disabled in the server configuration by allow_url_fopen=0 [ROOT/vendors/mathml_to_image.php, line 6]
file_get_contents - [internal], line ??
grabDataImage - ROOT/vendors/mathml_to_image.php, line 6
string_between - ROOT/vendors/mathml_to_image.php, line 30
math_to_image - ROOT/vendors/mathml_to_image.php, line 51
TopicsController::viewOnSearchTopic() - APP/Controller/TopicsController.php, line 98
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 490
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 191
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 165
[main] - APP/webroot/index.php, line 108
Warning (2): file_get_contents(https://www.wiris.net/demo/editor/render.png?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi+mathvariant%3D%22normal%22%3E%26%23961%3B%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmi+mathvariant%3D%22normal%22%3E%3C%2Fmi%3E%3Cmfrac%3E%3Cmi+mathvariant%3D%22italic%22%3Edq%3C%2Fmi%3E%3Cmi+mathvariant%3D%22italic%22%3EdV%3C%2Fmi%3E%3C%2Fmfrac%3E%3C%2Fmath%3E) [function.file-get-contents]: failed to open stream: no suitable wrapper could be found [ROOT/vendors/mathml_to_image.php, line 6]
file_get_contents - [internal], line ??
grabDataImage - ROOT/vendors/mathml_to_image.php, line 6
string_between - ROOT/vendors/mathml_to_image.php, line 30
math_to_image - ROOT/vendors/mathml_to_image.php, line 51
TopicsController::viewOnSearchTopic() - APP/Controller/TopicsController.php, line 98
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 490
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 191
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 165
[main] - APP/webroot/index.php, line 108
Warning (2): file_get_contents() [function.file-get-contents]: https:// wrapper is disabled in the server configuration by allow_url_fopen=0 [ROOT/vendors/mathml_to_image.php, line 6]
file_get_contents - [internal], line ??
grabDataImage - ROOT/vendors/mathml_to_image.php, line 6
string_between - ROOT/vendors/mathml_to_image.php, line 30
string_between - ROOT/vendors/mathml_to_image.php, line 34
math_to_image - ROOT/vendors/mathml_to_image.php, line 51
TopicsController::viewOnSearchTopic() - APP/Controller/TopicsController.php, line 98
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 490
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 191
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 165
[main] - APP/webroot/index.php, line 108
Warning (2): file_get_contents(https://www.wiris.net/demo/editor/render.png?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi+mathvariant%3D%22normal%22%3E%26%23961%3B%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmi+mathvariant%3D%22normal%22%3E%3C%2Fmi%3E%3Cmfrac%3E%3Cmi%3Eq%3C%2Fmi%3E%3Cmstyle+displaystyle%3D%22true%22%3E%3Cmfrac%3E%3Cmn%3E4%3C%2Fmn%3E%3Cmn%3E3%3C%2Fmn%3E%3C%2Fmfrac%3E%3Cmo%3E%26%23160%3B%3C%2Fmo%3E%3Cmi+mathvariant%3D%22normal%22%3E%26%23960%3B%3C%2Fmi%3E%3Cmsup%3E%3Cmi%3ER%3C%2Fmi%3E%3Cmn%3E3%3C%2Fmn%3E%3C%2Fmsup%3E%3C%2Fmstyle%3E%3C%2Fmfrac%3E%3C%2Fmath%3E) [function.file-get-contents]: failed to open stream: no suitable wrapper could be found [ROOT/vendors/mathml_to_image.php, line 6]
file_get_contents - [internal], line ??
grabDataImage - ROOT/vendors/mathml_to_image.php, line 6
string_between - ROOT/vendors/mathml_to_image.php, line 30
string_between - ROOT/vendors/mathml_to_image.php, line 34
math_to_image - ROOT/vendors/mathml_to_image.php, line 51
TopicsController::viewOnSearchTopic() - APP/Controller/TopicsController.php, line 98
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 490
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 191
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 165
[main] - APP/webroot/index.php, line 108
Warning (2): file_get_contents() [function.file-get-contents]: https:// wrapper is disabled in the server configuration by allow_url_fopen=0 [ROOT/vendors/mathml_to_image.php, line 6]
file_get_contents - [internal], line ??
grabDataImage - ROOT/vendors/mathml_to_image.php, line 6
string_between - ROOT/vendors/mathml_to_image.php, line 30
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
math_to_image - ROOT/vendors/mathml_to_image.php, line 51
TopicsController::viewOnSearchTopic() - APP/Controller/TopicsController.php, line 98
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 490
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 191
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 165
[main] - APP/webroot/index.php, line 108
Warning (2): file_get_contents(https://www.wiris.net/demo/editor/render.png?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmover%3E%3Cmsub%3E%3Cmi+mathvariant%3D%22normal%22%3EF%3C%2Fmi%3E%3Cmi+mathvariant%3D%22normal%22%3Ev%3C%2Fmi%3E%3C%2Fmsub%3E%3Cmo%3E%26%238594%3B%3C%2Fmo%3E%3C%2Fmover%3E%3Cmi+mathvariant%3D%22normal%22%3E%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmi+mathvariant%3D%22normal%22%3E%3C%2Fmi%3E%3Cmfrac%3E%3Cmsub%3E%3Cmi%3Eq%3C%2Fmi%3E%3Cmn%3E0%3C%2Fmn%3E%3C%2Fmsub%3E%3Cmrow%3E%3Cmn%3E4%3C%2Fmn%3E%3Cmsub%3E%3Cmi+mathvariant%3D%22italic%22%3E%26%23960%3B%26%23603%3B%3C%2Fmi%3E%3Cmn%3E0%3C%2Fmn%3E%3C%2Fmsub%3E%3C%2Fmrow%3E%3C%2Fmfrac%3E%3Cmi+mathvariant%3D%22normal%22%3E%3C%2Fmi%3E%3Cmi+mathvariant%3D%22normal%22%3E%26%23643%3B%3C%2Fmi%3E%3Cmo%3E%26%23160%3B%3C%2Fmo%3E%3Cmo%3E%26%23160%3B%3C%2Fmo%3E%3Cmi+mathvariant%3D%22normal%22%3E%3C%2Fmi%3E%3Cmfrac%3E%3Cmi+mathvariant%3D%22italic%22%3Edq%3C%2Fmi%3E%3Cmsup%3E%3Cmi%3Er%3C%2Fmi%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmsup%3E%3C%2Fmfrac%3E%3Cmover%3E%3Cmi+mathvariant%3D%22normal%22%3Er%3C%2Fmi%3E%3Cmo%3E%5E%3C%2Fmo%3E%3C%2Fmover%3E%3C%2Fmath%3E) [function.file-get-contents]: failed to open stream: no suitable wrapper could be found [ROOT/vendors/mathml_to_image.php, line 6]
file_get_contents - [internal], line ??
grabDataImage - ROOT/vendors/mathml_to_image.php, line 6
string_between - ROOT/vendors/mathml_to_image.php, line 30
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
math_to_image - ROOT/vendors/mathml_to_image.php, line 51
TopicsController::viewOnSearchTopic() - APP/Controller/TopicsController.php, line 98
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 490
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 191
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 165
[main] - APP/webroot/index.php, line 108
Warning (2): file_get_contents() [function.file-get-contents]: https:// wrapper is disabled in the server configuration by allow_url_fopen=0 [ROOT/vendors/mathml_to_image.php, line 6]
file_get_contents - [internal], line ??
grabDataImage - ROOT/vendors/mathml_to_image.php, line 6
string_between - ROOT/vendors/mathml_to_image.php, line 30
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
math_to_image - ROOT/vendors/mathml_to_image.php, line 51
TopicsController::viewOnSearchTopic() - APP/Controller/TopicsController.php, line 98
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 490
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 191
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 165
[main] - APP/webroot/index.php, line 108
Warning (2): file_get_contents(https://www.wiris.net/demo/editor/render.png?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmi+mathvariant%3D%22normal%22%3E%3C%2Fmi%3E%3Cmfrac%3E%3Cmsub%3E%3Cmi%3Eq%3C%2Fmi%3E%3Cmn%3E0%3C%2Fmn%3E%3C%2Fmsub%3E%3Cmrow%3E%3Cmn%3E4%3C%2Fmn%3E%3Cmsub%3E%3Cmi+mathvariant%3D%22italic%22%3E%26%23960%3B%26%23603%3B%3C%2Fmi%3E%3Cmn%3E0%3C%2Fmn%3E%3C%2Fmsub%3E%3C%2Fmrow%3E%3C%2Fmfrac%3E%3Cmi+mathvariant%3D%22normal%22%3E%3C%2Fmi%3E%3Cmi+mathvariant%3D%22normal%22%3E%26%23643%3B%3C%2Fmi%3E%3Cmi+mathvariant%3D%22normal%22%3E%3C%2Fmi%3E%3Cmfrac%3E%3Cmi+mathvariant%3D%22normal%22%3E%26%23961%3B%3C%2Fmi%3E%3Cmsup%3E%3Cmi%3Er%3C%2Fmi%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmsup%3E%3C%2Fmfrac%3E%3Cmi%3EdV%3C%2Fmi%3E%3Cmo%3E%26%23160%3B%3C%2Fmo%3E%3Cmo%3E%26%23160%3B%3C%2Fmo%3E%3Cmover%3E%3Cmi+mathvariant%3D%22normal%22%3Er%3C%2Fmi%3E%3Cmo%3E%5E%3C%2Fmo%3E%3C%2Fmover%3E%3C%2Fmath%3E) [function.file-get-contents]: failed to open stream: no suitable wrapper could be found [ROOT/vendors/mathml_to_image.php, line 6]
file_get_contents - [internal], line ??
grabDataImage - ROOT/vendors/mathml_to_image.php, line 6
string_between - ROOT/vendors/mathml_to_image.php, line 30
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
math_to_image - ROOT/vendors/mathml_to_image.php, line 51
TopicsController::viewOnSearchTopic() - APP/Controller/TopicsController.php, line 98
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 490
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 191
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 165
[main] - APP/webroot/index.php, line 108
Warning (2): file_get_contents() [function.file-get-contents]: https:// wrapper is disabled in the server configuration by allow_url_fopen=0 [ROOT/vendors/mathml_to_image.php, line 6]
file_get_contents - [internal], line ??
grabDataImage - ROOT/vendors/mathml_to_image.php, line 6
string_between - ROOT/vendors/mathml_to_image.php, line 30
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
math_to_image - ROOT/vendors/mathml_to_image.php, line 51
TopicsController::viewOnSearchTopic() - APP/Controller/TopicsController.php, line 98
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 490
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 191
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 165
[main] - APP/webroot/index.php, line 108
Warning (2): file_get_contents(https://www.wiris.net/demo/editor/render.png?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi+mathvariant%3D%22normal%22%3E%26%23963%3B%3C%2Fmi%3E%3Cmi+mathvariant%3D%22normal%22%3E%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmi+mathvariant%3D%22normal%22%3E%3C%2Fmi%3E%3Cmfrac%3E%3Cmi+mathvariant%3D%22italic%22%3Edq%3C%2Fmi%3E%3Cmi+mathvariant%3D%22italic%22%3Eds%3C%2Fmi%3E%3C%2Fmfrac%3E%3C%2Fmath%3E) [function.file-get-contents]: failed to open stream: no suitable wrapper could be found [ROOT/vendors/mathml_to_image.php, line 6]
file_get_contents - [internal], line ??
grabDataImage - ROOT/vendors/mathml_to_image.php, line 6
string_between - ROOT/vendors/mathml_to_image.php, line 30
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
math_to_image - ROOT/vendors/mathml_to_image.php, line 51
TopicsController::viewOnSearchTopic() - APP/Controller/TopicsController.php, line 98
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 490
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 191
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 165
[main] - APP/webroot/index.php, line 108
Warning (2): file_get_contents() [function.file-get-contents]: https:// wrapper is disabled in the server configuration by allow_url_fopen=0 [ROOT/vendors/mathml_to_image.php, line 6]
file_get_contents - [internal], line ??
grabDataImage - ROOT/vendors/mathml_to_image.php, line 6
string_between - ROOT/vendors/mathml_to_image.php, line 30
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
math_to_image - ROOT/vendors/mathml_to_image.php, line 51
TopicsController::viewOnSearchTopic() - APP/Controller/TopicsController.php, line 98
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 490
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 191
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 165
[main] - APP/webroot/index.php, line 108
Warning (2): file_get_contents(https://www.wiris.net/demo/editor/render.png?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi+mathvariant%3D%22normal%22%3E%26%23963%3B%3C%2Fmi%3E%3Cmi+mathvariant%3D%22normal%22%3E%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmi+mathvariant%3D%22normal%22%3E%3C%2Fmi%3E%3Cmfrac%3E%3Cmi%3Eq%3C%2Fmi%3E%3Cmrow%3E%3Cmn%3E4%3C%2Fmn%3E%3Cmi%3E%26%23960%3B%3C%2Fmi%3E%3Cmsup%3E%3Cmi%3ER%3C%2Fmi%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmsup%3E%3C%2Fmrow%3E%3C%2Fmfrac%3E%3C%2Fmath%3E) [function.file-get-contents]: failed to open stream: no suitable wrapper could be found [ROOT/vendors/mathml_to_image.php, line 6]
file_get_contents - [internal], line ??
grabDataImage - ROOT/vendors/mathml_to_image.php, line 6
string_between - ROOT/vendors/mathml_to_image.php, line 30
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
math_to_image - ROOT/vendors/mathml_to_image.php, line 51
TopicsController::viewOnSearchTopic() - APP/Controller/TopicsController.php, line 98
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 490
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 191
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 165
[main] - APP/webroot/index.php, line 108
Warning (2): file_get_contents() [function.file-get-contents]: https:// wrapper is disabled in the server configuration by allow_url_fopen=0 [ROOT/vendors/mathml_to_image.php, line 6]
file_get_contents - [internal], line ??
grabDataImage - ROOT/vendors/mathml_to_image.php, line 6
string_between - ROOT/vendors/mathml_to_image.php, line 30
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
math_to_image - ROOT/vendors/mathml_to_image.php, line 51
TopicsController::viewOnSearchTopic() - APP/Controller/TopicsController.php, line 98
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 490
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 191
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 165
[main] - APP/webroot/index.php, line 108
Warning (2): file_get_contents(https://www.wiris.net/demo/editor/render.png?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3E%3C%2Fmi%3E%3Cmi+mathvariant%3D%22normal%22%3E%26%23955%3B%3C%2Fmi%3E%3Cmi+mathvariant%3D%22normal%22%3E%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmi+mathvariant%3D%22normal%22%3E%3C%2Fmi%3E%3Cmfrac%3E%3Cmi+mathvariant%3D%22italic%22%3Edq%3C%2Fmi%3E%3Cmi+mathvariant%3D%22italic%22%3Edl%3C%2Fmi%3E%3C%2Fmfrac%3E%3C%2Fmath%3E) [function.file-get-contents]: failed to open stream: no suitable wrapper could be found [ROOT/vendors/mathml_to_image.php, line 6]
file_get_contents - [internal], line ??
grabDataImage - ROOT/vendors/mathml_to_image.php, line 6
string_between - ROOT/vendors/mathml_to_image.php, line 30
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
math_to_image - ROOT/vendors/mathml_to_image.php, line 51
TopicsController::viewOnSearchTopic() - APP/Controller/TopicsController.php, line 98
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 490
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 191
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 165
[main] - APP/webroot/index.php, line 108
Warning (2): file_get_contents() [function.file-get-contents]: https:// wrapper is disabled in the server configuration by allow_url_fopen=0 [ROOT/vendors/mathml_to_image.php, line 6]
file_get_contents - [internal], line ??
grabDataImage - ROOT/vendors/mathml_to_image.php, line 6
string_between - ROOT/vendors/mathml_to_image.php, line 30
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
math_to_image - ROOT/vendors/mathml_to_image.php, line 51
TopicsController::viewOnSearchTopic() - APP/Controller/TopicsController.php, line 98
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 490
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 191
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 165
[main] - APP/webroot/index.php, line 108
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grabDataImage - ROOT/vendors/mathml_to_image.php, line 6
string_between - ROOT/vendors/mathml_to_image.php, line 30
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
string_between - ROOT/vendors/mathml_to_image.php, line 34
math_to_image - ROOT/vendors/mathml_to_image.php, line 51
TopicsController::viewOnSearchTopic() - APP/Controller/TopicsController.php, line 98
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 490
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 191
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 165
[main] - APP/webroot/index.php, line 108
E due to continous charge distribution|Sureden:Your Education Partner
Different types of Continuous Charge Distribution :
Volume Charge Distribution : it is charge distribution spread over a three dimensional volume or region V of space. Volume charge density at any point in this volume as the charge contained per unit volume at that point.
the SI unit for ρ is coulomb per cubic meter.
If a charge q is distributed over the entire volume of a sphere of radius R, then its volume charge density is
The charge contained in small volume dV is
dq= ρdV
Total electrostatic force exerted on charge q0 due to entire volume V is given by
electric field due to a volume charge distribution at the location of charge q0 is
Surface charge distribution :
It is a charge distribution spread over a two dimensional surface S in space.
Surface charge density at any point on this surface as the charge per unit area at that point.
The SI unit for σ is coulomb per square meter,
If a charge q is distributed over he surface of a spherical conductor of radius R, then its surface charge density is
The charge contained in small area ds is
dq = σ ds.
Total electrostatic force exerted on charge q0 due to entire surface s is given by
Line charge distribution: It is a charge distribution spread over a one dimensional curve or line L in space. The line charge density at any point on this line as the charge per unit length of the line at that point
The SI unit for σ is coulomb per meter.
If a charge q is distributed over the ring of radius R, then its linear charge density is
The charge contained in small length dl is
dq = λdl
total electrostatic force exerted on charge q0 due to entire length L is given by
SureDen
