Error message
Warning: array_flip(): Can only flip string and integer values, entry skipped in Drupal\Core\Entity\EntityStorageBase->loadMultiple() (line 279 of core/lib/Drupal/Core/Entity/EntityStorageBase.php).
Drupal\Core\Entity\EntityStorageBase->loadMultiple() (Line: 263)
Drupal\Core\Entity\EntityStorageBase->load() (Line: 326)
custom_fac_2_preprocess_professorSiteBanner() (Line: 369)
Drupal\Core\Extension\ModuleHandler->invoke() (Line: 304)
Drupal\Core\Theme\ThemeManager->render() (Line: 497)
Drupal\Core\Render\Renderer->doRender() (Line: 227)
Drupal\Core\Render\Renderer->render() (Line: 491)
Drupal\Core\Template\TwigExtension->escapeFilter() (Line: 86)
__TwigTemplate_a7f931b46114bc6682aad870163f1c0f->block_content() (Line: 446)
Twig\Template->yieldBlock() (Line: 69)
__TwigTemplate_a7f931b46114bc6682aad870163f1c0f->doDisplay() (Line: 402)
Twig\Template->yield() (Line: 358)
Twig\Template->display() (Line: 373)
Twig\Template->render() (Line: 51)
Twig\TemplateWrapper->render() (Line: 34)
twig_render_template() (Line: 380)
Drupal\Core\Theme\ThemeManager->render() (Line: 497)
Drupal\Core\Render\Renderer->doRender() (Line: 510)
Drupal\Core\Render\Renderer->doRender() (Line: 227)
Drupal\Core\Render\Renderer->render() (Line: 491)
Drupal\Core\Template\TwigExtension->escapeFilter() (Line: 88)
__TwigTemplate_d2be0fe58ee0a1d4940b6eab381017b3->doDisplay() (Line: 402)
Twig\Template->yield() (Line: 358)
Twig\Template->display() (Line: 373)
Twig\Template->render() (Line: 51)
Twig\TemplateWrapper->render() (Line: 34)
twig_render_template() (Line: 380)
Drupal\Core\Theme\ThemeManager->render() (Line: 497)
Drupal\Core\Render\Renderer->doRender() (Line: 227)
Drupal\Core\Render\Renderer->render() (Line: 491)
Drupal\Core\Template\TwigExtension->escapeFilter() (Line: 96)
__TwigTemplate_814542f94778d3ee9b7f3da3f8314733->doDisplay() (Line: 402)
Twig\Template->yield() (Line: 358)
Twig\Template->display() (Line: 373)
Twig\Template->render() (Line: 51)
Twig\TemplateWrapper->render() (Line: 34)
twig_render_template() (Line: 380)
Drupal\Core\Theme\ThemeManager->render() (Line: 497)
Drupal\Core\Render\Renderer->doRender() (Line: 227)
Drupal\Core\Render\Renderer->render() (Line: 162)
Drupal\Core\Render\MainContent\HtmlRenderer->Drupal\Core\Render\MainContent\{closure}() (Line: 627)
Drupal\Core\Render\Renderer->executeInRenderContext() (Line: 157)
Drupal\Core\Render\MainContent\HtmlRenderer->renderResponse() (Line: 90)
Drupal\Core\EventSubscriber\MainContentViewSubscriber->onViewRenderArray() (Line: 246)
Symfony\Component\EventDispatcher\EventDispatcher::Symfony\Component\EventDispatcher\{closure}() (Line: 206)
Symfony\Component\EventDispatcher\EventDispatcher->callListeners() (Line: 56)
Symfony\Component\EventDispatcher\EventDispatcher->dispatch() (Line: 188)
Symfony\Component\HttpKernel\HttpKernel->handleRaw() (Line: 76)
Symfony\Component\HttpKernel\HttpKernel->handle() (Line: 53)
Drupal\Core\StackMiddleware\Session->handle() (Line: 48)
Drupal\Core\StackMiddleware\KernelPreHandle->handle() (Line: 28)
Drupal\Core\StackMiddleware\ContentLength->handle() (Line: 201)
Drupal\page_cache\StackMiddleware\PageCache->fetch() (Line: 138)
Drupal\page_cache\StackMiddleware\PageCache->lookup() (Line: 87)
Drupal\page_cache\StackMiddleware\PageCache->handle() (Line: 48)
Drupal\Core\StackMiddleware\ReverseProxyMiddleware->handle() (Line: 51)
Drupal\Core\StackMiddleware\NegotiationMiddleware->handle() (Line: 53)
Drupal\Core\StackMiddleware\AjaxPageState->handle() (Line: 51)
Drupal\Core\StackMiddleware\StackedHttpKernel->handle() (Line: 715)
Drupal\Core\DrupalKernel->handle() (Line: 19)
introduction/brief CV
Associate Professor of Mathematics
publications
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courses
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مقرر تدريب ميداني لطلاب السنة الأخيرة في مسار الرياضيات المالية والاكتوارية يتم تدريب الطلاب فيه من خلال جهات خارجية يتدرب فيها الطالب خلال الفصل الدراسي كاملاً بتطبيق ما تعلمه خلال مسيرته العلمية…
The course covers selected topics in mathematics suggested by the student's supervisor.
Vector spaces, Normed spaces, Banach spaces: basic properties and examples, convex sets, subspaces and quotient spaces, linear functionals and dual spaces. Fundamental theorems: Hahn-Banach…