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]

function 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%3E2%3C%2Fmn%3E%3Cmi%3EN%3C%2Fmi%3E%3Cmsub%3E%3Cmi%3EH%3C%2Fmi%3E%3Cmn%3E3%3C%2Fmn%3E%3C%2Fmsub%3E%3Cmover%3E%3Cmo%3E%26rarr%3B%3C%2Fmo%3E%3Cmrow%3E%3Cmi%3EP%3C%2Fmi%3E%3Cmi%3Et%3C%2Fmi%3E%3C%2Fmrow%3E%3C%2Fmover%3E%3Cmsub%3E%3Cmi%3EN%3C%2Fmi%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmsub%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmo%3E%2B%3C%2Fmo%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmn%3E3%3C%2Fmn%3E%3Cmsub%3E%3Cmi%3EH%3C%2Fmi%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmsub%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%3E2%3C%2Fmn%3E%3Cmi%3EN%3C%2Fmi%3E%3Cmsub%3E%3Cmi%3EH%3C%2Fmi%3E%3Cmn%3E3%3C%2Fmn%3E%3C%2Fmsub%3E%3Cmover%3E%3Cmo%3E%26rarr%3B%3C%2Fmo%3E%3Cmrow%3E%3Cmi%3EP%3C%2Fmi%3E%3Cmi%3Et%3C%2Fmi%3E%3C%2Fmrow%3E%3C%2Fmover%3E%3Cmsub%3E%3Cmi%3EN%3C%2Fmi%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmsub%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmo%3E%2B%3C%2Fmo%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmn%3E3%3C%2Fmn%3E%3Cmsub%3E%3Cmi%3EH%3C%2Fmi%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmsub%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 Context

function 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%3E2%3C%2Fmn%3E%3Cmi%3EN%3C%2Fmi%3E%3Cmsub%3E%3Cmi%3EH%3C%2Fmi%3E%3Cmn%3E3%3C%2Fmn%3E%3C%2Fmsub%3E%3Cmover%3E%3Cmo%3E%26rarr%3B%3C%2Fmo%3E%3Cmrow%3E%3Cmi%3EP%3C%2Fmi%3E%3Cmi%3Et%3C%2Fmi%3E%3C%2Fmrow%3E%3C%2Fmover%3E%3Cmsub%3E%3Cmi%3EN%3C%2Fmi%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmsub%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmo%3E%2B%3C%2Fmo%3E%3Cmo%3E%26nbsp%3B%3C%2Fmo%3E%3Cmn%3E3%3C%2Fmn%3E%3Cmsub%3E%3Cmi%3EH%3C%2Fmi%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmsub%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 Context

function 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%3Cmo%3E%26rarr%3B%3C%2Fmo%3E%3Cmo%3E%26acirc%3B%26circ%3B%26dagger%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
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%3Cmo%3E%26rarr%3B%3C%2Fmo%3E%3Cmo%3E%26acirc%3B%26circ%3B%26dagger%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 Context

function 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%3Cmo%3E%26rarr%3B%3C%2Fmo%3E%3Cmo%3E%26acirc%3B%26circ%3B%26dagger%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
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 Context

function 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%22normal%22%3EK%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmfrac%3E%3Cmi%3ERate%3C%2Fmi%3E%3Cmrow%3E%3Cmo%3E%5B%3C%2Fmo%3E%3Cmi+mathvariant%3D%22normal%22%3EA%3C%2Fmi%3E%3Cmo%3E%5D%3C%2Fmo%3E%3C%2Fmrow%3E%3C%2Fmfrac%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmfrac%3E%3Cmrow%3E%3Cmi%3Emol%3C%2Fmi%3E%3Cmsup%3E%3Cmi%3Elit%3C%2Fmi%3E%3Cmrow%3E%3Cmo%3E-%3C%2Fmo%3E%3Cmn%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsup%3E%3Cmsup%3E%3Cmi%3Esec%3C%2Fmi%3E%3Cmrow%3E%3Cmo%3E-%3C%2Fmo%3E%3Cmn%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsup%3E%3C%2Fmrow%3E%3Cmrow%3E%3Cmi%3Emol%3C%2Fmi%3E%3Cmsup%3E%3Cmi%3Elit%3C%2Fmi%3E%3Cmrow%3E%3Cmo%3E-%3C%2Fmo%3E%3Cmn%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsup%3E%3C%2Fmrow%3E%3C%2Fmfrac%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmsup%3E%3Cmi+mathvariant%3D%22bold%22%3Esec%3C%2Fmi%3E%3Cmrow%3E%3Cmo%3E-%3C%2Fmo%3E%3Cmn%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsup%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

Code Context

function 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%22normal%22%3EK%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmfrac%3E%3Cmi%3ERate%3C%2Fmi%3E%3Cmrow%3E%3Cmo%3E%5B%3C%2Fmo%3E%3Cmi+mathvariant%3D%22normal%22%3EA%3C%2Fmi%3E%3Cmo%3E%5D%3C%2Fmo%3E%3C%2Fmrow%3E%3C%2Fmfrac%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmfrac%3E%3Cmrow%3E%3Cmi%3Emol%3C%2Fmi%3E%3Cmsup%3E%3Cmi%3Elit%3C%2Fmi%3E%3Cmrow%3E%3Cmo%3E-%3C%2Fmo%3E%3Cmn%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsup%3E%3Cmsup%3E%3Cmi%3Esec%3C%2Fmi%3E%3Cmrow%3E%3Cmo%3E-%3C%2Fmo%3E%3Cmn%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsup%3E%3C%2Fmrow%3E%3Cmrow%3E%3Cmi%3Emol%3C%2Fmi%3E%3Cmsup%3E%3Cmi%3Elit%3C%2Fmi%3E%3Cmrow%3E%3Cmo%3E-%3C%2Fmo%3E%3Cmn%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsup%3E%3C%2Fmrow%3E%3C%2Fmfrac%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmsup%3E%3Cmi+mathvariant%3D%22bold%22%3Esec%3C%2Fmi%3E%3Cmrow%3E%3Cmo%3E-%3C%2Fmo%3E%3Cmn%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsup%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 Context

function 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%22bold%22%3EK%3C%2Fmi%3E%3Cmo+mathvariant%3D%22bold%22%3E%3D%3C%2Fmo%3E%3Cmfrac+bevelled%3D%22true%22%3E%3Cmi+mathvariant%3D%22bold%22%3ERate%3C%2Fmi%3E%3Cmsup%3E%3Cmrow%3E%3Cmo+mathvariant%3D%22bold%22%3E%5B%3C%2Fmo%3E%3Cmi+mathvariant%3D%22bold%22%3EA%3C%2Fmi%3E%3Cmo+mathvariant%3D%22bold%22%3E%5D%3C%2Fmo%3E%3C%2Fmrow%3E%3Cmn+mathvariant%3D%22bold%22%3E2%3C%2Fmn%3E%3C%2Fmsup%3E%3C%2Fmfrac%3E%3Cmo+mathvariant%3D%22bold%22%3E%3D%3C%2Fmo%3E%3Cmfrac%3E%3Cmrow%3E%3Cmi+mathvariant%3D%22bold%22%3Emol%3C%2Fmi%3E%3Cmo+mathvariant%3D%22bold%22%3E%26nbsp%3B%3C%2Fmo%3E%3Cmsup%3E%3Cmi+mathvariant%3D%22bold%22%3Elit%3C%2Fmi%3E%3Cmrow%3E%3Cmo+mathvariant%3D%22bold%22%3E-%3C%2Fmo%3E%3Cmn+mathvariant%3D%22bold%22%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsup%3E%3Cmsup%3E%3Cmi+mathvariant%3D%22bold%22%3Esec%3C%2Fmi%3E%3Cmrow%3E%3Cmo+mathvariant%3D%22bold%22%3E-%3C%2Fmo%3E%3Cmn+mathvariant%3D%22bold%22%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsup%3E%3C%2Fmrow%3E%3Cmsup%3E%3Cmfenced+separators%3D%22%7C%22%3E%3Cmrow%3E%3Cmi+mathvariant%3D%22bold%22%3Emol%3C%2Fmi%3E%3Cmo+mathvariant%3D%22bold%22%3E%26nbsp%3B%3C%2Fmo%3E%3Cmsup%3E%3Cmi+mathvariant%3D%22bold%22%3Elit%3C%2Fmi%3E%3Cmrow%3E%3Cmo+mathvariant%3D%22bold%22%3E-%3C%2Fmo%3E%3Cmn+mathvariant%3D%22bold%22%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsup%3E%3C%2Fmrow%3E%3C%2Fmfenced%3E%3Cmn+mathvariant%3D%22bold%22%3E2%3C%2Fmn%3E%3C%2Fmsup%3E%3C%2Fmfrac%3E%3Cmo+mathvariant%3D%22bold%22%3E%3D%3C%2Fmo%3E%3Cmsup%3E%3Cmi+mathvariant%3D%22bold%22%3Emol%3C%2Fmi%3E%3Cmrow%3E%3Cmo+mathvariant%3D%22bold%22%3E-%3C%2Fmo%3E%3Cmn+mathvariant%3D%22bold%22%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsup%3E%3Cmi+mathvariant%3D%22bold%22%3Elit%3C%2Fmi%3E%3Cmsup%3E%3Cmi+mathvariant%3D%22bold%22%3Esec%3C%2Fmi%3E%3Cmrow%3E%3Cmo+mathvariant%3D%22bold%22%3E-%3C%2Fmo%3E%3Cmn+mathvariant%3D%22bold%22%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsup%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

Code Context

function 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%22bold%22%3EK%3C%2Fmi%3E%3Cmo+mathvariant%3D%22bold%22%3E%3D%3C%2Fmo%3E%3Cmfrac+bevelled%3D%22true%22%3E%3Cmi+mathvariant%3D%22bold%22%3ERate%3C%2Fmi%3E%3Cmsup%3E%3Cmrow%3E%3Cmo+mathvariant%3D%22bold%22%3E%5B%3C%2Fmo%3E%3Cmi+mathvariant%3D%22bold%22%3EA%3C%2Fmi%3E%3Cmo+mathvariant%3D%22bold%22%3E%5D%3C%2Fmo%3E%3C%2Fmrow%3E%3Cmn+mathvariant%3D%22bold%22%3E2%3C%2Fmn%3E%3C%2Fmsup%3E%3C%2Fmfrac%3E%3Cmo+mathvariant%3D%22bold%22%3E%3D%3C%2Fmo%3E%3Cmfrac%3E%3Cmrow%3E%3Cmi+mathvariant%3D%22bold%22%3Emol%3C%2Fmi%3E%3Cmo+mathvariant%3D%22bold%22%3E%26nbsp%3B%3C%2Fmo%3E%3Cmsup%3E%3Cmi+mathvariant%3D%22bold%22%3Elit%3C%2Fmi%3E%3Cmrow%3E%3Cmo+mathvariant%3D%22bold%22%3E-%3C%2Fmo%3E%3Cmn+mathvariant%3D%22bold%22%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsup%3E%3Cmsup%3E%3Cmi+mathvariant%3D%22bold%22%3Esec%3C%2Fmi%3E%3Cmrow%3E%3Cmo+mathvariant%3D%22bold%22%3E-%3C%2Fmo%3E%3Cmn+mathvariant%3D%22bold%22%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsup%3E%3C%2Fmrow%3E%3Cmsup%3E%3Cmfenced+separators%3D%22%7C%22%3E%3Cmrow%3E%3Cmi+mathvariant%3D%22bold%22%3Emol%3C%2Fmi%3E%3Cmo+mathvariant%3D%22bold%22%3E%26nbsp%3B%3C%2Fmo%3E%3Cmsup%3E%3Cmi+mathvariant%3D%22bold%22%3Elit%3C%2Fmi%3E%3Cmrow%3E%3Cmo+mathvariant%3D%22bold%22%3E-%3C%2Fmo%3E%3Cmn+mathvariant%3D%22bold%22%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsup%3E%3C%2Fmrow%3E%3C%2Fmfenced%3E%3Cmn+mathvariant%3D%22bold%22%3E2%3C%2Fmn%3E%3C%2Fmsup%3E%3C%2Fmfrac%3E%3Cmo+mathvariant%3D%22bold%22%3E%3D%3C%2Fmo%3E%3Cmsup%3E%3Cmi+mathvariant%3D%22bold%22%3Emol%3C%2Fmi%3E%3Cmrow%3E%3Cmo+mathvariant%3D%22bold%22%3E-%3C%2Fmo%3E%3Cmn+mathvariant%3D%22bold%22%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsup%3E%3Cmi+mathvariant%3D%22bold%22%3Elit%3C%2Fmi%3E%3Cmsup%3E%3Cmi+mathvariant%3D%22bold%22%3Esec%3C%2Fmi%3E%3Cmrow%3E%3Cmo+mathvariant%3D%22bold%22%3E-%3C%2Fmo%3E%3Cmn+mathvariant%3D%22bold%22%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsup%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 Context

function 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%22bold%22%3EK%3C%2Fmi%3E%3Cmo+mathvariant%3D%22bold%22%3E%3D%3C%2Fmo%3E%3Cmfrac%3E%3Cmi+mathvariant%3D%22bold%22%3ERate%3C%2Fmi%3E%3Cmsup%3E%3Cmrow%3E%3Cmo+mathvariant%3D%22bold%22%3E%5B%3C%2Fmo%3E%3Cmi+mathvariant%3D%22bold%22%3EA%3C%2Fmi%3E%3Cmo+mathvariant%3D%22bold%22%3E%5D%3C%2Fmo%3E%3C%2Fmrow%3E%3Cmn+mathvariant%3D%22bold%22%3E3%3C%2Fmn%3E%3C%2Fmsup%3E%3C%2Fmfrac%3E%3Cmo+mathvariant%3D%22bold%22%3E%3D%3C%2Fmo%3E%3Cmfrac%3E%3Cmrow%3E%3Cmi+mathvariant%3D%22bold%22%3Emol%3C%2Fmi%3E%3Cmo+mathvariant%3D%22bold%22%3E%26nbsp%3B%3C%2Fmo%3E%3Cmsup%3E%3Cmi+mathvariant%3D%22bold%22%3Elit%3C%2Fmi%3E%3Cmrow%3E%3Cmo+mathvariant%3D%22bold%22%3E-%3C%2Fmo%3E%3Cmn+mathvariant%3D%22bold%22%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsup%3E%3Cmsup%3E%3Cmi+mathvariant%3D%22bold%22%3Esec%3C%2Fmi%3E%3Cmrow%3E%3Cmo+mathvariant%3D%22bold%22%3E-%3C%2Fmo%3E%3Cmn+mathvariant%3D%22bold%22%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsup%3E%3C%2Fmrow%3E%3Cmsup%3E%3Cmrow%3E%3Cmsup%3E%3Cmrow%3E%3Cmo+mathvariant%3D%22bold%22%3E%28%3C%2Fmo%3E%3Cmi+mathvariant%3D%22bold%22%3Emol%3C%2Fmi%3E%3Cmi+mathvariant%3D%22bold%22%3El%3C%2Fmi%3E%3Cmo+mathvariant%3D%22bold%22%3E%26nbsp%3B%3C%2Fmo%3E%3Cmi+mathvariant%3D%22bold%22%3Eit%3C%2Fmi%3E%3C%2Fmrow%3E%3Cmrow%3E%3Cmo+mathvariant%3D%22bold%22%3E-%3C%2Fmo%3E%3Cmn+mathvariant%3D%22bold%22%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsup%3E%3Cmo+mathvariant%3D%22bold%22%3E%29%3C%2Fmo%3E%3C%2Fmrow%3E%3Cmn+mathvariant%3D%22bold%22%3E3%3C%2Fmn%3E%3C%2Fmsup%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
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

Code Context

function 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%22bold%22%3EK%3C%2Fmi%3E%3Cmo+mathvariant%3D%22bold%22%3E%3D%3C%2Fmo%3E%3Cmfrac%3E%3Cmi+mathvariant%3D%22bold%22%3ERate%3C%2Fmi%3E%3Cmsup%3E%3Cmrow%3E%3Cmo+mathvariant%3D%22bold%22%3E%5B%3C%2Fmo%3E%3Cmi+mathvariant%3D%22bold%22%3EA%3C%2Fmi%3E%3Cmo+mathvariant%3D%22bold%22%3E%5D%3C%2Fmo%3E%3C%2Fmrow%3E%3Cmn+mathvariant%3D%22bold%22%3E3%3C%2Fmn%3E%3C%2Fmsup%3E%3C%2Fmfrac%3E%3Cmo+mathvariant%3D%22bold%22%3E%3D%3C%2Fmo%3E%3Cmfrac%3E%3Cmrow%3E%3Cmi+mathvariant%3D%22bold%22%3Emol%3C%2Fmi%3E%3Cmo+mathvariant%3D%22bold%22%3E%26nbsp%3B%3C%2Fmo%3E%3Cmsup%3E%3Cmi+mathvariant%3D%22bold%22%3Elit%3C%2Fmi%3E%3Cmrow%3E%3Cmo+mathvariant%3D%22bold%22%3E-%3C%2Fmo%3E%3Cmn+mathvariant%3D%22bold%22%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsup%3E%3Cmsup%3E%3Cmi+mathvariant%3D%22bold%22%3Esec%3C%2Fmi%3E%3Cmrow%3E%3Cmo+mathvariant%3D%22bold%22%3E-%3C%2Fmo%3E%3Cmn+mathvariant%3D%22bold%22%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsup%3E%3C%2Fmrow%3E%3Cmsup%3E%3Cmrow%3E%3Cmsup%3E%3Cmrow%3E%3Cmo+mathvariant%3D%22bold%22%3E%28%3C%2Fmo%3E%3Cmi+mathvariant%3D%22bold%22%3Emol%3C%2Fmi%3E%3Cmi+mathvariant%3D%22bold%22%3El%3C%2Fmi%3E%3Cmo+mathvariant%3D%22bold%22%3E%26nbsp%3B%3C%2Fmo%3E%3Cmi+mathvariant%3D%22bold%22%3Eit%3C%2Fmi%3E%3C%2Fmrow%3E%3Cmrow%3E%3Cmo+mathvariant%3D%22bold%22%3E-%3C%2Fmo%3E%3Cmn+mathvariant%3D%22bold%22%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsup%3E%3Cmo+mathvariant%3D%22bold%22%3E%29%3C%2Fmo%3E%3C%2Fmrow%3E%3Cmn+mathvariant%3D%22bold%22%3E3%3C%2Fmn%3E%3C%2Fmsup%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
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 Context

function 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%22bold%22%3EAnswer%3C%2Fmi%3E%3Cmo+mathvariant%3D%22bold%22%3E%3A%3C%2Fmo%3E%3Cmo+mathvariant%3D%22bold%22%3E-%3C%2Fmo%3E%3Cmi+mathvariant%3D%22bold%22%3EK%3C%2Fmi%3E%3Cmo+mathvariant%3D%22bold%22%3E%3D%3C%2Fmo%3E%3Cmfrac%3E%3Cmi+mathvariant%3D%22bold%22%3ERate%3C%2Fmi%3E%3Cmsup%3E%3Cmrow%3E%3Cmsub%3E%3Cmrow%3E%3Cmo+mathvariant%3D%22bold%22%3E%5B%3C%2Fmo%3E%3Cmi+mathvariant%3D%22bold%22%3ECH%3C%2Fmi%3E%3C%2Fmrow%3E%3Cmn+mathvariant%3D%22bold%22%3E3%3C%2Fmn%3E%3C%2Fmsub%3E%3Cmi+mathvariant%3D%22bold%22%3ECHO%3C%2Fmi%3E%3Cmo+mathvariant%3D%22bold%22%3E%5D%3C%2Fmo%3E%3C%2Fmrow%3E%3Cmn+mathvariant%3D%22bold%22%3E1.5%3C%2Fmn%3E%3C%2Fmsup%3E%3C%2Fmfrac%3E%3Cmo+mathvariant%3D%22bold%22%3E%3D%3C%2Fmo%3E%3Cmfrac%3E%3Cmrow%3E%3Cmi+mathvariant%3D%22bold%22%3Emol%3C%2Fmi%3E%3Cmsup%3E%3Cmi+mathvariant%3D%22bold%22%3El%3C%2Fmi%3E%3Cmrow%3E%3Cmo+mathvariant%3D%22bold%22%3E-%3C%2Fmo%3E%3Cmn+mathvariant%3D%22bold%22%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsup%3E%3Cmsup%3E%3Cmi+mathvariant%3D%22bold%22%3Esec%3C%2Fmi%3E%3Cmrow%3E%3Cmo+mathvariant%3D%22bold%22%3E-%3C%2Fmo%3E%3Cmn+mathvariant%3D%22bold%22%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsup%3E%3C%2Fmrow%3E%3Cmrow%3E%3Cmi+mathvariant%3D%22bold%22%3Emol%3C%2Fmi%3E%3Cmsup%3E%3Cmi+mathvariant%3D%22bold%22%3El%3C%2Fmi%3E%3Cmrow%3E%3Cmo+mathvariant%3D%22bold%22%3E-%3C%2Fmo%3E%3Cmn+mathvariant%3D%22bold%22%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsup%3E%3Cmi+mathvariant%3D%22bold%22%3EX%3C%2Fmi%3E%3Cmsup%3E%3Cmi+mathvariant%3D%22bold%22%3Emol%3C%2Fmi%3E%3Cmfrac+bevelled%3D%22true%22%3E%3Cmn+mathvariant%3D%22bold%22%3E1%3C%2Fmn%3E%3Cmn+mathvariant%3D%22bold%22%3E2%3C%2Fmn%3E%3C%2Fmfrac%3E%3C%2Fmsup%3E%3Cmi+mathvariant%3D%22bold%22%3E%3C%2Fmi%3E%3Cmsup%3E%3Cmi+mathvariant%3D%22bold%22%3El%3C%2Fmi%3E%3Cmfrac+bevelled%3D%22true%22%3E%3Cmrow%3E%3Cmo+mathvariant%3D%22bold%22%3E-%3C%2Fmo%3E%3Cmn+mathvariant%3D%22bold%22%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3Cmn+mathvariant%3D%22bold%22%3E2%3C%2Fmn%3E%3C%2Fmfrac%3E%3C%2Fmsup%3E%3C%2Fmrow%3E%3C%2Fmfrac%3E%3Cmo+mathvariant%3D%22bold%22%3E%3D%3C%2Fmo%3E%3Cmsup%3E%3Cmi+mathvariant%3D%22bold%22%3Emol%3C%2Fmi%3E%3Cmrow%3E%3Cmfrac+bevelled%3D%22true%22%3E%3Cmrow%3E%3Cmo+mathvariant%3D%22bold%22%3E-%3C%2Fmo%3E%3Cmn+mathvariant%3D%22bold%22%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3Cmn+mathvariant%3D%22bold%22%3E2%3C%2Fmn%3E%3C%2Fmfrac%3E%3Cmi+mathvariant%3D%22bold%22%3E%3C%2Fmi%3E%3C%2Fmrow%3E%3C%2Fmsup%3E%3Cmsup%3E%3Cmi+mathvariant%3D%22bold%22%3El%3C%2Fmi%3E%3Cmrow%3E%3Cmfrac+bevelled%3D%22true%22%3E%3Cmn+mathvariant%3D%22bold%22%3E1%3C%2Fmn%3E%3Cmn+mathvariant%3D%22bold%22%3E2%3C%2Fmn%3E%3C%2Fmfrac%3E%3Cmi+mathvariant%3D%22bold%22%3E%3C%2Fmi%3E%3C%2Fmrow%3E%3C%2Fmsup%3E%3Cmsup%3E%3Cmi+mathvariant%3D%22bold%22%3Esec%3C%2Fmi%3E%3Cmrow%3E%3Cmo+mathvariant%3D%22bold%22%3E-%3C%2Fmo%3E%3Cmn+mathvariant%3D%22bold%22%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsup%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+mathvariant%3D%22bold%22%3EAnswer%3C%2Fmi%3E%3Cmo+mathvariant%3D%22bold%22%3E%3A%3C%2Fmo%3E%3Cmo+mathvariant%3D%22bold%22%3E-%3C%2Fmo%3E%3Cmi+mathvariant%3D%22bold%22%3EK%3C%2Fmi%3E%3Cmo+mathvariant%3D%22bold%22%3E%3D%3C%2Fmo%3E%3Cmfrac%3E%3Cmi+mathvariant%3D%22bold%22%3ERate%3C%2Fmi%3E%3Cmsup%3E%3Cmrow%3E%3Cmsub%3E%3Cmrow%3E%3Cmo+mathvariant%3D%22bold%22%3E%5B%3C%2Fmo%3E%3Cmi+mathvariant%3D%22bold%22%3ECH%3C%2Fmi%3E%3C%2Fmrow%3E%3Cmn+mathvariant%3D%22bold%22%3E3%3C%2Fmn%3E%3C%2Fmsub%3E%3Cmi+mathvariant%3D%22bold%22%3ECHO%3C%2Fmi%3E%3Cmo+mathvariant%3D%22bold%22%3E%5D%3C%2Fmo%3E%3C%2Fmrow%3E%3Cmn+mathvariant%3D%22bold%22%3E1.5%3C%2Fmn%3E%3C%2Fmsup%3E%3C%2Fmfrac%3E%3Cmo+mathvariant%3D%22bold%22%3E%3D%3C%2Fmo%3E%3Cmfrac%3E%3Cmrow%3E%3Cmi+mathvariant%3D%22bold%22%3Emol%3C%2Fmi%3E%3Cmsup%3E%3Cmi+mathvariant%3D%22bold%22%3El%3C%2Fmi%3E%3Cmrow%3E%3Cmo+mathvariant%3D%22bold%22%3E-%3C%2Fmo%3E%3Cmn+mathvariant%3D%22bold%22%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsup%3E%3Cmsup%3E%3Cmi+mathvariant%3D%22bold%22%3Esec%3C%2Fmi%3E%3Cmrow%3E%3Cmo+mathvariant%3D%22bold%22%3E-%3C%2Fmo%3E%3Cmn+mathvariant%3D%22bold%22%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsup%3E%3C%2Fmrow%3E%3Cmrow%3E%3Cmi+mathvariant%3D%22bold%22%3Emol%3C%2Fmi%3E%3Cmsup%3E%3Cmi+mathvariant%3D%22bold%22%3El%3C%2Fmi%3E%3Cmrow%3E%3Cmo+mathvariant%3D%22bold%22%3E-%3C%2Fmo%3E%3Cmn+mathvariant%3D%22bold%22%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsup%3E%3Cmi+mathvariant%3D%22bold%22%3EX%3C%2Fmi%3E%3Cmsup%3E%3Cmi+mathvariant%3D%22bold%22%3Emol%3C%2Fmi%3E%3Cmfrac+bevelled%3D%22true%22%3E%3Cmn+mathvariant%3D%22bold%22%3E1%3C%2Fmn%3E%3Cmn+mathvariant%3D%22bold%22%3E2%3C%2Fmn%3E%3C%2Fmfrac%3E%3C%2Fmsup%3E%3Cmi+mathvariant%3D%22bold%22%3E%3C%2Fmi%3E%3Cmsup%3E%3Cmi+mathvariant%3D%22bold%22%3El%3C%2Fmi%3E%3Cmfrac+bevelled%3D%22true%22%3E%3Cmrow%3E%3Cmo+mathvariant%3D%22bold%22%3E-%3C%2Fmo%3E%3Cmn+mathvariant%3D%22bold%22%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3Cmn+mathvariant%3D%22bold%22%3E2%3C%2Fmn%3E%3C%2Fmfrac%3E%3C%2Fmsup%3E%3C%2Fmrow%3E%3C%2Fmfrac%3E%3Cmo+mathvariant%3D%22bold%22%3E%3D%3C%2Fmo%3E%3Cmsup%3E%3Cmi+mathvariant%3D%22bold%22%3Emol%3C%2Fmi%3E%3Cmrow%3E%3Cmfrac+bevelled%3D%22true%22%3E%3Cmrow%3E%3Cmo+mathvariant%3D%22bold%22%3E-%3C%2Fmo%3E%3Cmn+mathvariant%3D%22bold%22%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3Cmn+mathvariant%3D%22bold%22%3E2%3C%2Fmn%3E%3C%2Fmfrac%3E%3Cmi+mathvariant%3D%22bold%22%3E%3C%2Fmi%3E%3C%2Fmrow%3E%3C%2Fmsup%3E%3Cmsup%3E%3Cmi+mathvariant%3D%22bold%22%3El%3C%2Fmi%3E%3Cmrow%3E%3Cmfrac+bevelled%3D%22true%22%3E%3Cmn+mathvariant%3D%22bold%22%3E1%3C%2Fmn%3E%3Cmn+mathvariant%3D%22bold%22%3E2%3C%2Fmn%3E%3C%2Fmfrac%3E%3Cmi+mathvariant%3D%22bold%22%3E%3C%2Fmi%3E%3C%2Fmrow%3E%3C%2Fmsup%3E%3Cmsup%3E%3Cmi+mathvariant%3D%22bold%22%3Esec%3C%2Fmi%3E%3Cmrow%3E%3Cmo+mathvariant%3D%22bold%22%3E-%3C%2Fmo%3E%3Cmn+mathvariant%3D%22bold%22%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsup%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 Context

function 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%22bold%22%3EAnswer%3C%2Fmi%3E%3Cmo+mathvariant%3D%22bold%22%3E%3A%3C%2Fmo%3E%3Cmo+mathvariant%3D%22bold%22%3E-%3C%2Fmo%3E%3Cmi+mathvariant%3D%22bold%22%3EK%3C%2Fmi%3E%3Cmo+mathvariant%3D%22bold%22%3E%3D%3C%2Fmo%3E%3Cmfrac%3E%3Cmi+mathvariant%3D%22bold%22%3ERate%3C%2Fmi%3E%3Cmsup%3E%3Cmrow%3E%3Cmsub%3E%3Cmrow%3E%3Cmo+mathvariant%3D%22bold%22%3E%5B%3C%2Fmo%3E%3Cmi+mathvariant%3D%22bold%22%3ECH%3C%2Fmi%3E%3C%2Fmrow%3E%3Cmn+mathvariant%3D%22bold%22%3E3%3C%2Fmn%3E%3C%2Fmsub%3E%3Cmi+mathvariant%3D%22bold%22%3ECHO%3C%2Fmi%3E%3Cmo+mathvariant%3D%22bold%22%3E%5D%3C%2Fmo%3E%3C%2Fmrow%3E%3Cmn+mathvariant%3D%22bold%22%3E1.5%3C%2Fmn%3E%3C%2Fmsup%3E%3C%2Fmfrac%3E%3Cmo+mathvariant%3D%22bold%22%3E%3D%3C%2Fmo%3E%3Cmfrac%3E%3Cmrow%3E%3Cmi+mathvariant%3D%22bold%22%3Emol%3C%2Fmi%3E%3Cmsup%3E%3Cmi+mathvariant%3D%22bold%22%3El%3C%2Fmi%3E%3Cmrow%3E%3Cmo+mathvariant%3D%22bold%22%3E-%3C%2Fmo%3E%3Cmn+mathvariant%3D%22bold%22%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsup%3E%3Cmsup%3E%3Cmi+mathvariant%3D%22bold%22%3Esec%3C%2Fmi%3E%3Cmrow%3E%3Cmo+mathvariant%3D%22bold%22%3E-%3C%2Fmo%3E%3Cmn+mathvariant%3D%22bold%22%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsup%3E%3C%2Fmrow%3E%3Cmrow%3E%3Cmi+mathvariant%3D%22bold%22%3Emol%3C%2Fmi%3E%3Cmsup%3E%3Cmi+mathvariant%3D%22bold%22%3El%3C%2Fmi%3E%3Cmrow%3E%3Cmo+mathvariant%3D%22bold%22%3E-%3C%2Fmo%3E%3Cmn+mathvariant%3D%22bold%22%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsup%3E%3Cmi+mathvariant%3D%22bold%22%3EX%3C%2Fmi%3E%3Cmsup%3E%3Cmi+mathvariant%3D%22bold%22%3Emol%3C%2Fmi%3E%3Cmfrac+bevelled%3D%22true%22%3E%3Cmn+mathvariant%3D%22bold%22%3E1%3C%2Fmn%3E%3Cmn+mathvariant%3D%22bold%22%3E2%3C%2Fmn%3E%3C%2Fmfrac%3E%3C%2Fmsup%3E%3Cmi+mathvariant%3D%22bold%22%3E%3C%2Fmi%3E%3Cmsup%3E%3Cmi+mathvariant%3D%22bold%22%3El%3C%2Fmi%3E%3Cmfrac+bevelled%3D%22true%22%3E%3Cmrow%3E%3Cmo+mathvariant%3D%22bold%22%3E-%3C%2Fmo%3E%3Cmn+mathvariant%3D%22bold%22%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3Cmn+mathvariant%3D%22bold%22%3E2%3C%2Fmn%3E%3C%2Fmfrac%3E%3C%2Fmsup%3E%3C%2Fmrow%3E%3C%2Fmfrac%3E%3Cmo+mathvariant%3D%22bold%22%3E%3D%3C%2Fmo%3E%3Cmsup%3E%3Cmi+mathvariant%3D%22bold%22%3Emol%3C%2Fmi%3E%3Cmrow%3E%3Cmfrac+bevelled%3D%22true%22%3E%3Cmrow%3E%3Cmo+mathvariant%3D%22bold%22%3E-%3C%2Fmo%3E%3Cmn+mathvariant%3D%22bold%22%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3Cmn+mathvariant%3D%22bold%22%3E2%3C%2Fmn%3E%3C%2Fmfrac%3E%3Cmi+mathvariant%3D%22bold%22%3E%3C%2Fmi%3E%3C%2Fmrow%3E%3C%2Fmsup%3E%3Cmsup%3E%3Cmi+mathvariant%3D%22bold%22%3El%3C%2Fmi%3E%3Cmrow%3E%3Cmfrac+bevelled%3D%22true%22%3E%3Cmn+mathvariant%3D%22bold%22%3E1%3C%2Fmn%3E%3Cmn+mathvariant%3D%22bold%22%3E2%3C%2Fmn%3E%3C%2Fmfrac%3E%3Cmi+mathvariant%3D%22bold%22%3E%3C%2Fmi%3E%3C%2Fmrow%3E%3C%2Fmsup%3E%3Cmsup%3E%3Cmi+mathvariant%3D%22bold%22%3Esec%3C%2Fmi%3E%3Cmrow%3E%3Cmo+mathvariant%3D%22bold%22%3E-%3C%2Fmo%3E%3Cmn+mathvariant%3D%22bold%22%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsup%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

Order of reaction

Order of reaction:- Sum of powers to which the concentration terms are raised in rate law expression

Order of reaction = ∝ + β,

Examples

If 0 → Zero order reaction

1 → Ist order reaction

2 → Second Order Reaction

1. Zero order reaction:- Rate is independent of concentration

Rate = K [NH₃]^° O.R = 0

Rate = K

2. First order reaction:- Rate depends only upon 1 concentration term.

2 N₂O₅ → 4 NO + 6 O₂

Rate = K [N₂O₅]¹ O.R = 1

3. Second order reaction:- Rate depends upon 2 concentration terms.

2 NO₂ + F₂ → 2 NO₂F

Rate = K [NO₂]¹ [F₂]¹ O.R = 1 + 1 = 2

4. Third order reaction:- Rate depends upon 3 concentration terms.

2 NO + O₂ → 2 NO₂

Rate = K [NO₂]² [O₂]¹ O.R = 2 + 1 = 3

5. Fractional order reaction:- Rate depends upon fractions of concentration terms.

CH₃CHO CH₄+ CO

Rate = K [CH₃CHO]^1.5 O.R = 1.5

Units of rate constant [K] for 0, 1, 2, 3 order reactions

Rate = K ([Conc] / Time) = Mol L^-1 Sec^-1

For zero order:- Rate = K [A]^°

Rate = K = mol lit^-1 sec^-1

For I^st order:- Rate = K [A]¹

For II^nd order:- Rate = K [A]²

For III^rd order reaction:- Rate = K [A]³

= mol^-2 lit² sec^-1

Question:- What is the order of reaction for

Rate = k [NO^-₂] [I^-] [H⁺]²

Answer:- If concentration of H⁺ is doubled → 4 times

If concentration of NO^-₂ is Halved → ½ time

If concentration of NO^-₂, I^- and H⁺ are tripled → 81 times

3 [NO^-₂]¹ 3 [I^-]¹ 3 [H⁺]² = 3¹ x 3¹x 3² = 81

Question:- If rate of reaction becomes 27 times on increasing the concentration of reactant 3 times, what is the order of reaction.

Answer:- order of reaction is 3 flight → 3 [A]³→^O.R

3³= 3 x 3 x 3 = 27 times

Question:- What is the effect on rate of reaction, if volume of container is halved rate = K [A]²

Answer:- Rate of reaction is 4 times because concentration ∝ (1/volume)

In Case of gas, units are replaced by atm of place of mol lit^-1. e.g.→ mol lit^-1 sec^-1 = atm sec^-1

Question:- Calculate the units of K for rate = k [CH³CHO]^3/2

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Related Keywords

12 PMT Chemistry Chemical Kinetics Order of reaction