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]Code Contextfunction grabDataImage($imgUrl)
{
    $data = file_get_contents($imgUrl);
$imgUrl = 'https://www.wiris.net/demo/editor/render.png?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmn%3E%26nbsp%3B+%3C%2Fmn%3E%3C%2Fmath%3E'
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%3Cmn%3E%26nbsp%3B+%3C%2Fmn%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]Code Contextfunction grabDataImage($imgUrl)
{
    $data = file_get_contents($imgUrl);
$imgUrl = 'https://www.wiris.net/demo/editor/render.png?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmn%3E%26nbsp%3B+%3C%2Fmn%3E%3C%2Fmath%3E'
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]Code Contextfunction grabDataImage($imgUrl)
{
    $data = file_get_contents($imgUrl);
$imgUrl = 'https://www.wiris.net/demo/editor/render.png?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmo%3E%3C%2Fmo%3E%3Cmi%3Eo%3C%2Fmi%3E%3Cmi%3Eh%3C%2Fmi%3E%3Cmi%3Em%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmo%3E%28%3C%2Fmo%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmi%3Ev%3C%2Fmi%3E%3Cmi%3Eo%3C%2Fmi%3E%3Cmi%3El%3C%2Fmi%3E%3Cmi%3Et%3C%2Fmi%3E%3Cmo%3E%29%3C%2Fmo%3E%3Cmo%3E%2F%3C%2Fmo%3E%3Cmo%3E%28%3C%2Fmo%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmi%3Ea%3C%2Fmi%3E%3Cmi%3Em%3C%2Fmi%3E%3Cmi%3Ep%3C%2Fmi%3E%3Cmo%3E%29%3C%2Fmo%3E%3C%2Fmath%3E'
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%3Cmn%3E1%3C%2Fmn%3E%3Cmo%3E%3C%2Fmo%3E%3Cmi%3Eo%3C%2Fmi%3E%3Cmi%3Eh%3C%2Fmi%3E%3Cmi%3Em%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmo%3E%28%3C%2Fmo%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmi%3Ev%3C%2Fmi%3E%3Cmi%3Eo%3C%2Fmi%3E%3Cmi%3El%3C%2Fmi%3E%3Cmi%3Et%3C%2Fmi%3E%3Cmo%3E%29%3C%2Fmo%3E%3Cmo%3E%2F%3C%2Fmo%3E%3Cmo%3E%28%3C%2Fmo%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmi%3Ea%3C%2Fmi%3E%3Cmi%3Em%3C%2Fmi%3E%3Cmi%3Ep%3C%2Fmi%3E%3Cmo%3E%29%3C%2Fmo%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]Code Contextfunction grabDataImage($imgUrl)
{
    $data = file_get_contents($imgUrl);
$imgUrl = 'https://www.wiris.net/demo/editor/render.png?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmo%3E%3C%2Fmo%3E%3Cmi%3Eo%3C%2Fmi%3E%3Cmi%3Eh%3C%2Fmi%3E%3Cmi%3Em%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmo%3E%28%3C%2Fmo%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmi%3Ev%3C%2Fmi%3E%3Cmi%3Eo%3C%2Fmi%3E%3Cmi%3El%3C%2Fmi%3E%3Cmi%3Et%3C%2Fmi%3E%3Cmo%3E%29%3C%2Fmo%3E%3Cmo%3E%2F%3C%2Fmo%3E%3Cmo%3E%28%3C%2Fmo%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmi%3Ea%3C%2Fmi%3E%3Cmi%3Em%3C%2Fmi%3E%3Cmi%3Ep%3C%2Fmi%3E%3Cmo%3E%29%3C%2Fmo%3E%3C%2Fmath%3E'
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]Code Contextfunction grabDataImage($imgUrl)
{
    $data = file_get_contents($imgUrl);
$imgUrl = 'https://www.wiris.net/demo/editor/render.png?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3EA+%26infin%3B%3C%2Fmi%3E%3Cmfrac%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmi+mathvariant%3D%22normal%22%3EA%3C%2Fmi%3E%3C%2Fmfrac%3E%3C%2Fmath%3E'
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%3Cmi%3EA+%26infin%3B%3C%2Fmi%3E%3Cmfrac%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmi+mathvariant%3D%22normal%22%3EA%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]Code Contextfunction grabDataImage($imgUrl)
{
    $data = file_get_contents($imgUrl);
$imgUrl = 'https://www.wiris.net/demo/editor/render.png?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3EA+%26infin%3B%3C%2Fmi%3E%3Cmfrac%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmi+mathvariant%3D%22normal%22%3EA%3C%2Fmi%3E%3C%2Fmfrac%3E%3C%2Fmath%3E'
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]Code Contextfunction grabDataImage($imgUrl)
{
    $data = file_get_contents($imgUrl);
$imgUrl = 'https://www.wiris.net/demo/editor/render.png?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3ER+%26infin%3B%3C%2Fmi%3E%3Cmfrac%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmi+mathvariant%3D%22normal%22%3EA%3C%2Fmi%3E%3C%2Fmfrac%3E%3C%2Fmath%3E'
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%3Cmi%3ER+%26infin%3B%3C%2Fmi%3E%3Cmfrac%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmi+mathvariant%3D%22normal%22%3EA%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]Code Contextfunction grabDataImage($imgUrl)
{
    $data = file_get_contents($imgUrl);
$imgUrl = 'https://www.wiris.net/demo/editor/render.png?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3ER+%26infin%3B%3C%2Fmi%3E%3Cmfrac%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmi+mathvariant%3D%22normal%22%3EA%3C%2Fmi%3E%3C%2Fmfrac%3E%3C%2Fmath%3E'
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]Code Contextfunction grabDataImage($imgUrl)
{
    $data = file_get_contents($imgUrl);
$imgUrl = 'https://www.wiris.net/demo/editor/render.png?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3ER%3C%2Fmi%3E%3Cmo%3E%26nbsp%3B+%3C%2Fmo%3E%26alpha%3B%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmo%3E+%3C%2Fmo%3E%3Cmi%3E%26rho%3B%3C%2Fmi%3E%3Cmi%3El%3C%2Fmi%3E%3Cmo%3E%2F%3C%2Fmo%3E%3Cmi%3EA%3C%2Fmi%3E%3C%2Fmath%3E'
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%3ER%3C%2Fmi%3E%3Cmo%3E%26nbsp%3B+%3C%2Fmo%3E%26alpha%3B%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmo%3E+%3C%2Fmo%3E%3Cmi%3E%26rho%3B%3C%2Fmi%3E%3Cmi%3El%3C%2Fmi%3E%3Cmo%3E%2F%3C%2Fmo%3E%3Cmi%3EA%3C%2Fmi%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]Code Contextfunction grabDataImage($imgUrl)
{
    $data = file_get_contents($imgUrl);
$imgUrl = 'https://www.wiris.net/demo/editor/render.png?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3ER%3C%2Fmi%3E%3Cmo%3E%26nbsp%3B+%3C%2Fmo%3E%26alpha%3B%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmo%3E+%3C%2Fmo%3E%3Cmi%3E%26rho%3B%3C%2Fmi%3E%3Cmi%3El%3C%2Fmi%3E%3Cmo%3E%2F%3C%2Fmo%3E%3Cmi%3EA%3C%2Fmi%3E%3C%2Fmath%3E'
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]Code Contextfunction grabDataImage($imgUrl)
{
    $data = file_get_contents($imgUrl);
$imgUrl = 'https://www.wiris.net/demo/editor/render.png?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3ER%3C%2Fmi%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmi%3E%26alpha%3B%3C%2Fmi%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmi%3E%26rho%3B%3C%2Fmi%3E%3Cmi%3El%3C%2Fmi%3E%3Cmo%3E%2F%3C%2Fmo%3E%3Cmi%3EA%3C%2Fmi%3E%3Cmo%3E%2C%3C%2Fmo%3E%3Cmi%3Ew%3C%2Fmi%3E%3Cmi%3Ee%3C%2Fmi%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmi%3Et%3C%2Fmi%3E%3Cmi%3Ea%3C%2Fmi%3E%3Cmi%3Ek%3C%2Fmi%3E%3Cmi%3Ee%3C%2Fmi%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmi%3EI%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmi%3Eu%3C%2Fmi%3E%3Cmi%3En%3C%2Fmi%3E%3Cmi%3Ei%3C%2Fmi%3E%3Cmi%3Et%3C%2Fmi%3E%3Cmo%3E%2C%3C%2Fmo%3E%3Cmi%3EA%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmi%3Es%3C%2Fmi%3E%3Cmi%3Eq%3C%2Fmi%3E%3Cmi%3Eu%3C%2Fmi%3E%3Cmi%3Ea%3C%2Fmi%3E%3Cmi%3Er%3C%2Fmi%3E%3Cmi%3Ee%3C%2Fmi%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmi%3Eu%3C%2Fmi%3E%3Cmi%3En%3C%2Fmi%3E%3Cmi%3Ei%3C%2Fmi%3E%3Cmi%3Et%3C%2Fmi%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3C%2Fmath%3E'
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%3ER%3C%2Fmi%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmi%3E%26alpha%3B%3C%2Fmi%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmi%3E%26rho%3B%3C%2Fmi%3E%3Cmi%3El%3C%2Fmi%3E%3Cmo%3E%2F%3C%2Fmo%3E%3Cmi%3EA%3C%2Fmi%3E%3Cmo%3E%2C%3C%2Fmo%3E%3Cmi%3Ew%3C%2Fmi%3E%3Cmi%3Ee%3C%2Fmi%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmi%3Et%3C%2Fmi%3E%3Cmi%3Ea%3C%2Fmi%3E%3Cmi%3Ek%3C%2Fmi%3E%3Cmi%3Ee%3C%2Fmi%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmi%3EI%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmi%3Eu%3C%2Fmi%3E%3Cmi%3En%3C%2Fmi%3E%3Cmi%3Ei%3C%2Fmi%3E%3Cmi%3Et%3C%2Fmi%3E%3Cmo%3E%2C%3C%2Fmo%3E%3Cmi%3EA%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmi%3Es%3C%2Fmi%3E%3Cmi%3Eq%3C%2Fmi%3E%3Cmi%3Eu%3C%2Fmi%3E%3Cmi%3Ea%3C%2Fmi%3E%3Cmi%3Er%3C%2Fmi%3E%3Cmi%3Ee%3C%2Fmi%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmi%3Eu%3C%2Fmi%3E%3Cmi%3En%3C%2Fmi%3E%3Cmi%3Ei%3C%2Fmi%3E%3Cmi%3Et%3C%2Fmi%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%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]Code Contextfunction grabDataImage($imgUrl)
{
    $data = file_get_contents($imgUrl);
$imgUrl = 'https://www.wiris.net/demo/editor/render.png?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3ER%3C%2Fmi%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmi%3E%26alpha%3B%3C%2Fmi%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmi%3E%26rho%3B%3C%2Fmi%3E%3Cmi%3El%3C%2Fmi%3E%3Cmo%3E%2F%3C%2Fmo%3E%3Cmi%3EA%3C%2Fmi%3E%3Cmo%3E%2C%3C%2Fmo%3E%3Cmi%3Ew%3C%2Fmi%3E%3Cmi%3Ee%3C%2Fmi%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmi%3Et%3C%2Fmi%3E%3Cmi%3Ea%3C%2Fmi%3E%3Cmi%3Ek%3C%2Fmi%3E%3Cmi%3Ee%3C%2Fmi%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmi%3EI%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmi%3Eu%3C%2Fmi%3E%3Cmi%3En%3C%2Fmi%3E%3Cmi%3Ei%3C%2Fmi%3E%3Cmi%3Et%3C%2Fmi%3E%3Cmo%3E%2C%3C%2Fmo%3E%3Cmi%3EA%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmi%3Es%3C%2Fmi%3E%3Cmi%3Eq%3C%2Fmi%3E%3Cmi%3Eu%3C%2Fmi%3E%3Cmi%3Ea%3C%2Fmi%3E%3Cmi%3Er%3C%2Fmi%3E%3Cmi%3Ee%3C%2Fmi%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmi%3Eu%3C%2Fmi%3E%3Cmi%3En%3C%2Fmi%3E%3Cmi%3Ei%3C%2Fmi%3E%3Cmi%3Et%3C%2Fmi%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3C%2Fmath%3E'
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]Code Contextfunction grabDataImage($imgUrl)
{
    $data = file_get_contents($imgUrl);
$imgUrl = 'https://www.wiris.net/demo/editor/render.png?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3EJ%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmi%3Eq%3C%2Fmi%3E%3Cmo%3E%2F%3C%2Fmo%3E%3Cmi%3Et%3C%2Fmi%3E%3Cmi%3EA%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmn%3Ei%3C%2Fmn%3E%3Cmo%3E%2F%3C%2Fmo%3E%3Cmi%3EA%3C%2Fmi%3E%3C%2Fmath%3E'
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%3EJ%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmi%3Eq%3C%2Fmi%3E%3Cmo%3E%2F%3C%2Fmo%3E%3Cmi%3Et%3C%2Fmi%3E%3Cmi%3EA%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmn%3Ei%3C%2Fmn%3E%3Cmo%3E%2F%3C%2Fmo%3E%3Cmi%3EA%3C%2Fmi%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]Code Contextfunction grabDataImage($imgUrl)
{
    $data = file_get_contents($imgUrl);
$imgUrl = 'https://www.wiris.net/demo/editor/render.png?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3EJ%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmi%3Eq%3C%2Fmi%3E%3Cmo%3E%2F%3C%2Fmo%3E%3Cmi%3Et%3C%2Fmi%3E%3Cmi%3EA%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmn%3Ei%3C%2Fmn%3E%3Cmo%3E%2F%3C%2Fmo%3E%3Cmi%3EA%3C%2Fmi%3E%3C%2Fmath%3E'
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]Code Contextfunction grabDataImage($imgUrl)
{
    $data = file_get_contents($imgUrl);
$imgUrl = '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%22italic%22%3Ein%3C%2Fmi%3E%3Cmo+mathvariant%3D%22italic%22%3E%26nbsp%3B%3C%2Fmo%3E%3Cmo+mathvariant%3D%22italic%22%3Egeneral%3C%2Fmo%3E%3Cmo%3E%2C%3C%2Fmo%3E%3Cmi%3EI%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmi+mathvariant%3D%22italic%22%3EJA+cos+%26theta%3B%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmover%3E%3Cmi%3EJ%3C%2Fmi%3E%3Cmo%3E%26rarr%3B%3C%2Fmo%3E%3C%2Fmover%3E%3Cmover%3E%3Cmi%3EA%3C%2Fmi%3E%3Cmo%3E%26rarr%3B%3C%2Fmo%3E%3C%2Fmover%3E%3C%2Fmath%3E'
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

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%22italic%22%3Ein%3C%2Fmi%3E%3Cmo+mathvariant%3D%22italic%22%3E%26nbsp%3B%3C%2Fmo%3E%3Cmo+mathvariant%3D%22italic%22%3Egeneral%3C%2Fmo%3E%3Cmo%3E%2C%3C%2Fmo%3E%3Cmi%3EI%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmi+mathvariant%3D%22italic%22%3EJA+cos+%26theta%3B%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmover%3E%3Cmi%3EJ%3C%2Fmi%3E%3Cmo%3E%26rarr%3B%3C%2Fmo%3E%3C%2Fmover%3E%3Cmover%3E%3Cmi%3EA%3C%2Fmi%3E%3Cmo%3E%26rarr%3B%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]Code Contextfunction grabDataImage($imgUrl)
{
    $data = file_get_contents($imgUrl);
$imgUrl = '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%22italic%22%3Ein%3C%2Fmi%3E%3Cmo+mathvariant%3D%22italic%22%3E%26nbsp%3B%3C%2Fmo%3E%3Cmo+mathvariant%3D%22italic%22%3Egeneral%3C%2Fmo%3E%3Cmo%3E%2C%3C%2Fmo%3E%3Cmi%3EI%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmi+mathvariant%3D%22italic%22%3EJA+cos+%26theta%3B%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmover%3E%3Cmi%3EJ%3C%2Fmi%3E%3Cmo%3E%26rarr%3B%3C%2Fmo%3E%3C%2Fmover%3E%3Cmover%3E%3Cmi%3EA%3C%2Fmi%3E%3Cmo%3E%26rarr%3B%3C%2Fmo%3E%3C%2Fmover%3E%3C%2Fmath%3E'
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

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]Code Contextfunction grabDataImage($imgUrl)
{
    $data = file_get_contents($imgUrl);
$imgUrl = '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%26sigma%3B%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmo%3E%2F%3C%2Fmo%3E%3Cmi%3E%26rho%3B%3C%2Fmi%3E%3C%2Fmath%3E'
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
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%26sigma%3B%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmo%3E%2F%3C%2Fmo%3E%3Cmi%3E%26rho%3B%3C%2Fmi%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]Code Contextfunction grabDataImage($imgUrl)
{
    $data = file_get_contents($imgUrl);
$imgUrl = '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%26sigma%3B%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmo%3E%2F%3C%2Fmo%3E%3Cmi%3E%26rho%3B%3C%2Fmi%3E%3C%2Fmath%3E'
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
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]Code Contextfunction grabDataImage($imgUrl)
{
    $data = file_get_contents($imgUrl);
$imgUrl = 'https://www.wiris.net/demo/editor/render.png?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3EV%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmi%3EI%3C%2Fmi%3E%3Cmi%3ER%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmi%3EI%3C%2Fmi%3E%3Cmi%3E%26rho%3B%3C%2Fmi%3E%3Cmi%3EL%3C%2Fmi%3E%3Cmo%3E%2F%3C%2Fmo%3E%3Cmi%3EA%3C%2Fmi%3E%3C%2Fmath%3E'
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
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

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%3EV%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmi%3EI%3C%2Fmi%3E%3Cmi%3ER%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmi%3EI%3C%2Fmi%3E%3Cmi%3E%26rho%3B%3C%2Fmi%3E%3Cmi%3EL%3C%2Fmi%3E%3Cmo%3E%2F%3C%2Fmo%3E%3Cmi%3EA%3C%2Fmi%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]Code Contextfunction grabDataImage($imgUrl)
{
    $data = file_get_contents($imgUrl);
$imgUrl = 'https://www.wiris.net/demo/editor/render.png?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3EV%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmi%3EI%3C%2Fmi%3E%3Cmi%3ER%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmi%3EI%3C%2Fmi%3E%3Cmi%3E%26rho%3B%3C%2Fmi%3E%3Cmi%3EL%3C%2Fmi%3E%3Cmo%3E%2F%3C%2Fmo%3E%3Cmi%3EA%3C%2Fmi%3E%3C%2Fmath%3E'
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
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

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]Code Contextfunction grabDataImage($imgUrl)
{
    $data = file_get_contents($imgUrl);
$imgUrl = '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%3Cmi%3EE%3C%2Fmi%3E%3Cmo%3E%26rarr%3B%3C%2Fmo%3E%3C%2Fmover%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmi%3E%26rho%3B%3C%2Fmi%3E%3Cmover%3E%3Cmi%3EJ%3C%2Fmi%3E%3Cmo%3E%26rarr%3B%3C%2Fmo%3E%3C%2Fmover%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmi%3Eo%3C%2Fmi%3E%3Cmi%3Er%3C%2Fmi%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E+%3Cmover%3E%3Cmi%3EJ%3C%2Fmi%3E%3Cmo%3E%26rarr%3B%3C%2Fmo%3E%3C%2Fmover%3E%3Cmo%3E%3D%3C%2Fmo%3E+%3Cmover%3E%3Cmi%3EE%3C%2Fmi%3E%3Cmo%3E%26rarr%3B%3C%2Fmo%3E%3C%2Fmover%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmi%3E%26sigma%3B%3C%2Fmi%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3C%2Fmath%3E'
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
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

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%3Cmi%3EE%3C%2Fmi%3E%3Cmo%3E%26rarr%3B%3C%2Fmo%3E%3C%2Fmover%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmi%3E%26rho%3B%3C%2Fmi%3E%3Cmover%3E%3Cmi%3EJ%3C%2Fmi%3E%3Cmo%3E%26rarr%3B%3C%2Fmo%3E%3C%2Fmover%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmi%3Eo%3C%2Fmi%3E%3Cmi%3Er%3C%2Fmi%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E+%3Cmover%3E%3Cmi%3EJ%3C%2Fmi%3E%3Cmo%3E%26rarr%3B%3C%2Fmo%3E%3C%2Fmover%3E%3Cmo%3E%3D%3C%2Fmo%3E+%3Cmover%3E%3Cmi%3EE%3C%2Fmi%3E%3Cmo%3E%26rarr%3B%3C%2Fmo%3E%3C%2Fmover%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmi%3E%26sigma%3B%3C%2Fmi%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%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]Code Contextfunction grabDataImage($imgUrl)
{
    $data = file_get_contents($imgUrl);
$imgUrl = '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%3Cmi%3EE%3C%2Fmi%3E%3Cmo%3E%26rarr%3B%3C%2Fmo%3E%3C%2Fmover%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmi%3E%26rho%3B%3C%2Fmi%3E%3Cmover%3E%3Cmi%3EJ%3C%2Fmi%3E%3Cmo%3E%26rarr%3B%3C%2Fmo%3E%3C%2Fmover%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmi%3Eo%3C%2Fmi%3E%3Cmi%3Er%3C%2Fmi%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E+%3Cmover%3E%3Cmi%3EJ%3C%2Fmi%3E%3Cmo%3E%26rarr%3B%3C%2Fmo%3E%3C%2Fmover%3E%3Cmo%3E%3D%3C%2Fmo%3E+%3Cmover%3E%3Cmi%3EE%3C%2Fmi%3E%3Cmo%3E%26rarr%3B%3C%2Fmo%3E%3C%2Fmover%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmi%3E%26sigma%3B%3C%2Fmi%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3C%2Fmath%3E'
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
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

Resistance|Sureden:Your Education Partner

Resistance

it is the property by virtue of which a conductor oppose the low of charges through it.

SI unit of resistance is Ohm. 1 ohm is the resistance offered by a conductor if a current of 1 ampere flows through it on applying a potential difference of 1 volt across its ends.

Factor affecting the resistance :-

Length – the resistance R of a conductor is directly proportional to its length. i.e. R α I

2. Area of cross – section : the resistance R of a conductor is inversely proportional to its area of cross section:

Combining the above factors, we get

Where ρ is constant of proportionality called resistivity or specific resistance of the material of the conductor.

Specific resistance:- in the equation

Then R= ρ thus, the specific resistance of a material may be defined as the resistance of a conductor of that material having unit length and unit area of cross- section.

It is the resistance offered by the unit cube of the material of a conductor.

SI unit of resistivity is ohm-m.

Current density:- the amount of charge flowing per second per unit area normal to the flow of charge. It is a vector quantity having the same direction as that of motion of positive charge.

For normal flow of charge

SI unit is mho or Siemens or ohm^-1.

Conductivity :- the reciprocal of the resistivity of a material is called conductivity and is denoted by σ.

SI unit is mho m^-1 or Siemens m^-1 or ohm^-1 m^-1.

Vector form of ohm’s law:- if E is the magnitude of electric field in a conductor of length I, then the Potential difference across its ends is

V = EI

Also, from ohm’s law, we can write,

E= Jρ

As the direction of current density j is same as that of electric field E, we can write the above eqⁿ as

The above equation is the vector form of ohm’s law. It is equivalent to scalar from, V = RI.

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Related Keywords

12 PMT Physics Current Electricity Resistance