text:
#### Howdy, Stranger!

It looks like you're new here. If you want to get involved, click one of these buttons!

#### Howdy, Stranger!

It looks like you're new here. If you want to get involved, click one of these buttons!

# Just wanted to say Hi!

You really make it appear so easy along with your presentation however I in finding this topic to be actually something which I believe I'd by no means understand. It sort of feels too complicated and extremely vast for me. I am having a look ahead for your subsequent put up, I'll try to get the dangle of it!

Here is my web-site :: she said

 Notice ```Array and string offset access syntax with curly braces is deprecated #0 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): gdn_ErrorHandler(8192, 'Array and strin...', '/home/bdurrell/...', 209, Array) #1 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): include() #2 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(322): Composer\Autoload\includeFile('/home/bdurrell/...') #3 [internal function]: Composer\Autoload\ClassLoader->loadClass('Michelf\\Markdow...') #4 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.markdownvanilla.php(18): spl_autoload_call('Michelf\\Markdow...') #5 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): include('/home/bdurrell/...') #6 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(322): Composer\Autoload\includeFile('/home/bdurrell/...') #7 [internal function]: Composer\Autoload\ClassLoader->loadClass('MarkdownVanilla') #8 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(1799): spl_autoload_call('MarkdownVanilla') #9 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(2198): Gdn_Format::markdown('You really make...') #10 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(1096): Gdn_Format::to('You really make...', 'Markdown') #11 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/controllers/class.discussioncontroller.php(168): Gdn_Format::plainText('You really make...', 'Markdown') #12 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(845): DiscussionController->index('126029', 'just-wanted-to-...', '') #13 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(274): Gdn_Dispatcher->dispatchController(Object(Gdn_Request), Array) #14 /home/bdurrell/public_html/realeducated.com/forums/index.php(29): Gdn_Dispatcher->dispatch() #15 {main}``` Notice ```Array and string offset access syntax with curly braces is deprecated #0 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): gdn_ErrorHandler(8192, 'Array and strin...', '/home/bdurrell/...', 211, Array) #1 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): include() #2 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(322): Composer\Autoload\includeFile('/home/bdurrell/...') #3 [internal function]: Composer\Autoload\ClassLoader->loadClass('Michelf\\Markdow...') #4 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.markdownvanilla.php(18): spl_autoload_call('Michelf\\Markdow...') #5 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): include('/home/bdurrell/...') #6 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(322): Composer\Autoload\includeFile('/home/bdurrell/...') #7 [internal function]: Composer\Autoload\ClassLoader->loadClass('MarkdownVanilla') #8 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(1799): spl_autoload_call('MarkdownVanilla') #9 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(2198): Gdn_Format::markdown('You really make...') #10 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(1096): Gdn_Format::to('You really make...', 'Markdown') #11 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/controllers/class.discussioncontroller.php(168): Gdn_Format::plainText('You really make...', 'Markdown') #12 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(845): DiscussionController->index('126029', 'just-wanted-to-...', '') #13 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(274): Gdn_Dispatcher->dispatchController(Object(Gdn_Request), Array) #14 /home/bdurrell/public_html/realeducated.com/forums/index.php(29): Gdn_Dispatcher->dispatch() #15 {main}``` Notice ```Array and string offset access syntax with curly braces is deprecated #0 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): gdn_ErrorHandler(8192, 'Array and strin...', '/home/bdurrell/...', 505, Array) #1 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): include() #2 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(322): Composer\Autoload\includeFile('/home/bdurrell/...') #3 [internal function]: Composer\Autoload\ClassLoader->loadClass('Michelf\\Markdow...') #4 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.markdownvanilla.php(18): spl_autoload_call('Michelf\\Markdow...') #5 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): include('/home/bdurrell/...') #6 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(322): Composer\Autoload\includeFile('/home/bdurrell/...') #7 [internal function]: Composer\Autoload\ClassLoader->loadClass('MarkdownVanilla') #8 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(1799): spl_autoload_call('MarkdownVanilla') #9 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(2198): Gdn_Format::markdown('You really make...') #10 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(1096): Gdn_Format::to('You really make...', 'Markdown') #11 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/controllers/class.discussioncontroller.php(168): Gdn_Format::plainText('You really make...', 'Markdown') #12 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(845): DiscussionController->index('126029', 'just-wanted-to-...', '') #13 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(274): Gdn_Dispatcher->dispatchController(Object(Gdn_Request), Array) #14 /home/bdurrell/public_html/realeducated.com/forums/index.php(29): Gdn_Dispatcher->dispatch() #15 {main}``` Notice ```Array and string offset access syntax with curly braces is deprecated #0 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): gdn_ErrorHandler(8192, 'Array and strin...', '/home/bdurrell/...', 505, Array) #1 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): include() #2 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(322): Composer\Autoload\includeFile('/home/bdurrell/...') #3 [internal function]: Composer\Autoload\ClassLoader->loadClass('Michelf\\Markdow...') #4 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.markdownvanilla.php(18): spl_autoload_call('Michelf\\Markdow...') #5 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): include('/home/bdurrell/...') #6 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(322): Composer\Autoload\includeFile('/home/bdurrell/...') #7 [internal function]: Composer\Autoload\ClassLoader->loadClass('MarkdownVanilla') #8 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(1799): spl_autoload_call('MarkdownVanilla') #9 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(2198): Gdn_Format::markdown('You really make...') #10 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(1096): Gdn_Format::to('You really make...', 'Markdown') #11 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/controllers/class.discussioncontroller.php(168): Gdn_Format::plainText('You really make...', 'Markdown') #12 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(845): DiscussionController->index('126029', 'just-wanted-to-...', '') #13 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(274): Gdn_Dispatcher->dispatchController(Object(Gdn_Request), Array) #14 /home/bdurrell/public_html/realeducated.com/forums/index.php(29): Gdn_Dispatcher->dispatch() #15 {main}``` Notice ```Array and string offset access syntax with curly braces is deprecated #0 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): gdn_ErrorHandler(8192, 'Array and strin...', '/home/bdurrell/...', 512, Array) #1 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): include() #2 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(322): Composer\Autoload\includeFile('/home/bdurrell/...') #3 [internal function]: Composer\Autoload\ClassLoader->loadClass('Michelf\\Markdow...') #4 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.markdownvanilla.php(18): spl_autoload_call('Michelf\\Markdow...') #5 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): include('/home/bdurrell/...') #6 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(322): Composer\Autoload\includeFile('/home/bdurrell/...') #7 [internal function]: Composer\Autoload\ClassLoader->loadClass('MarkdownVanilla') #8 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(1799): spl_autoload_call('MarkdownVanilla') #9 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(2198): Gdn_Format::markdown('You really make...') #10 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(1096): Gdn_Format::to('You really make...', 'Markdown') #11 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/controllers/class.discussioncontroller.php(168): Gdn_Format::plainText('You really make...', 'Markdown') #12 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(845): DiscussionController->index('126029', 'just-wanted-to-...', '') #13 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(274): Gdn_Dispatcher->dispatchController(Object(Gdn_Request), Array) #14 /home/bdurrell/public_html/realeducated.com/forums/index.php(29): Gdn_Dispatcher->dispatch() #15 {main}``` Notice ```Array and string offset access syntax with curly braces is deprecated #0 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): gdn_ErrorHandler(8192, 'Array and strin...', '/home/bdurrell/...', 546, Array) #1 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): include() #2 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(322): Composer\Autoload\includeFile('/home/bdurrell/...') #3 [internal function]: Composer\Autoload\ClassLoader->loadClass('Michelf\\Markdow...') #4 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.markdownvanilla.php(18): spl_autoload_call('Michelf\\Markdow...') #5 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): include('/home/bdurrell/...') #6 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(322): Composer\Autoload\includeFile('/home/bdurrell/...') #7 [internal function]: Composer\Autoload\ClassLoader->loadClass('MarkdownVanilla') #8 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(1799): spl_autoload_call('MarkdownVanilla') #9 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(2198): Gdn_Format::markdown('You really make...') #10 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(1096): Gdn_Format::to('You really make...', 'Markdown') #11 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/controllers/class.discussioncontroller.php(168): Gdn_Format::plainText('You really make...', 'Markdown') #12 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(845): DiscussionController->index('126029', 'just-wanted-to-...', '') #13 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(274): Gdn_Dispatcher->dispatchController(Object(Gdn_Request), Array) #14 /home/bdurrell/public_html/realeducated.com/forums/index.php(29): Gdn_Dispatcher->dispatch() #15 {main}``` Notice ```Array and string offset access syntax with curly braces is deprecated #0 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): gdn_ErrorHandler(8192, 'Array and strin...', '/home/bdurrell/...', 546, Array) #1 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): include() #2 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(322): Composer\Autoload\includeFile('/home/bdurrell/...') #3 [internal function]: Composer\Autoload\ClassLoader->loadClass('Michelf\\Markdow...') #4 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.markdownvanilla.php(18): spl_autoload_call('Michelf\\Markdow...') #5 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): include('/home/bdurrell/...') #6 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(322): Composer\Autoload\includeFile('/home/bdurrell/...') #7 [internal function]: Composer\Autoload\ClassLoader->loadClass('MarkdownVanilla') #8 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(1799): spl_autoload_call('MarkdownVanilla') #9 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(2198): Gdn_Format::markdown('You really make...') #10 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(1096): Gdn_Format::to('You really make...', 'Markdown') #11 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/controllers/class.discussioncontroller.php(168): Gdn_Format::plainText('You really make...', 'Markdown') #12 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(845): DiscussionController->index('126029', 'just-wanted-to-...', '') #13 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(274): Gdn_Dispatcher->dispatchController(Object(Gdn_Request), Array) #14 /home/bdurrell/public_html/realeducated.com/forums/index.php(29): Gdn_Dispatcher->dispatch() #15 {main}``` Notice ```Array and string offset access syntax with curly braces is deprecated #0 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): gdn_ErrorHandler(8192, 'Array and strin...', '/home/bdurrell/...', 561, Array) #1 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): include() #2 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(322): Composer\Autoload\includeFile('/home/bdurrell/...') #3 [internal function]: Composer\Autoload\ClassLoader->loadClass('Michelf\\Markdow...') #4 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.markdownvanilla.php(18): spl_autoload_call('Michelf\\Markdow...') #5 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): include('/home/bdurrell/...') #6 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(322): Composer\Autoload\includeFile('/home/bdurrell/...') #7 [internal function]: Composer\Autoload\ClassLoader->loadClass('MarkdownVanilla') #8 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(1799): spl_autoload_call('MarkdownVanilla') #9 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(2198): Gdn_Format::markdown('You really make...') #10 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(1096): Gdn_Format::to('You really make...', 'Markdown') #11 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/controllers/class.discussioncontroller.php(168): Gdn_Format::plainText('You really make...', 'Markdown') #12 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(845): DiscussionController->index('126029', 'just-wanted-to-...', '') #13 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(274): Gdn_Dispatcher->dispatchController(Object(Gdn_Request), Array) #14 /home/bdurrell/public_html/realeducated.com/forums/index.php(29): Gdn_Dispatcher->dispatch() #15 {main}``` Notice ```Array and string offset access syntax with curly braces is deprecated #0 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): gdn_ErrorHandler(8192, 'Array and strin...', '/home/bdurrell/...', 562, Array) #1 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): include() #2 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(322): Composer\Autoload\includeFile('/home/bdurrell/...') #3 [internal function]: Composer\Autoload\ClassLoader->loadClass('Michelf\\Markdow...') #4 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.markdownvanilla.php(18): spl_autoload_call('Michelf\\Markdow...') #5 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): include('/home/bdurrell/...') #6 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(322): Composer\Autoload\includeFile('/home/bdurrell/...') #7 [internal function]: Composer\Autoload\ClassLoader->loadClass('MarkdownVanilla') #8 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(1799): spl_autoload_call('MarkdownVanilla') #9 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(2198): Gdn_Format::markdown('You really make...') #10 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(1096): Gdn_Format::to('You really make...', 'Markdown') #11 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/controllers/class.discussioncontroller.php(168): Gdn_Format::plainText('You really make...', 'Markdown') #12 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(845): DiscussionController->index('126029', 'just-wanted-to-...', '') #13 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(274): Gdn_Dispatcher->dispatchController(Object(Gdn_Request), Array) #14 /home/bdurrell/public_html/realeducated.com/forums/index.php(29): Gdn_Dispatcher->dispatch() #15 {main}``` Notice ```Array and string offset access syntax with curly braces is deprecated #0 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): gdn_ErrorHandler(8192, 'Array and strin...', '/home/bdurrell/...', 661, Array) #1 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): include() #2 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(322): Composer\Autoload\includeFile('/home/bdurrell/...') #3 [internal function]: Composer\Autoload\ClassLoader->loadClass('Michelf\\Markdow...') #4 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.markdownvanilla.php(18): spl_autoload_call('Michelf\\Markdow...') #5 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): include('/home/bdurrell/...') #6 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(322): Composer\Autoload\includeFile('/home/bdurrell/...') #7 [internal function]: Composer\Autoload\ClassLoader->loadClass('MarkdownVanilla') #8 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(1799): spl_autoload_call('MarkdownVanilla') #9 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(2198): Gdn_Format::markdown('You really make...') #10 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(1096): Gdn_Format::to('You really make...', 'Markdown') #11 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/controllers/class.discussioncontroller.php(168): Gdn_Format::plainText('You really make...', 'Markdown') #12 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(845): DiscussionController->index('126029', 'just-wanted-to-...', '') #13 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(274): Gdn_Dispatcher->dispatchController(Object(Gdn_Request), Array) #14 /home/bdurrell/public_html/realeducated.com/forums/index.php(29): Gdn_Dispatcher->dispatch() #15 {main}``` Notice ```Array and string offset access syntax with curly braces is deprecated #0 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): gdn_ErrorHandler(8192, 'Array and strin...', '/home/bdurrell/...', 671, Array) #1 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): include() #2 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(322): Composer\Autoload\includeFile('/home/bdurrell/...') #3 [internal function]: Composer\Autoload\ClassLoader->loadClass('Michelf\\Markdow...') #4 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.markdownvanilla.php(18): spl_autoload_call('Michelf\\Markdow...') #5 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): include('/home/bdurrell/...') #6 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(322): Composer\Autoload\includeFile('/home/bdurrell/...') #7 [internal function]: Composer\Autoload\ClassLoader->loadClass('MarkdownVanilla') #8 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(1799): spl_autoload_call('MarkdownVanilla') #9 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(2198): Gdn_Format::markdown('You really make...') #10 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(1096): Gdn_Format::to('You really make...', 'Markdown') #11 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/controllers/class.discussioncontroller.php(168): Gdn_Format::plainText('You really make...', 'Markdown') #12 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(845): DiscussionController->index('126029', 'just-wanted-to-...', '') #13 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(274): Gdn_Dispatcher->dispatchController(Object(Gdn_Request), Array) #14 /home/bdurrell/public_html/realeducated.com/forums/index.php(29): Gdn_Dispatcher->dispatch() #15 {main}``` Notice ```Array and string offset access syntax with curly braces is deprecated #0 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): gdn_ErrorHandler(8192, 'Array and strin...', '/home/bdurrell/...', 671, Array) #1 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): include() #2 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(322): Composer\Autoload\includeFile('/home/bdurrell/...') #3 [internal function]: Composer\Autoload\ClassLoader->loadClass('Michelf\\Markdow...') #4 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.markdownvanilla.php(18): spl_autoload_call('Michelf\\Markdow...') #5 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): include('/home/bdurrell/...') #6 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(322): Composer\Autoload\includeFile('/home/bdurrell/...') #7 [internal function]: Composer\Autoload\ClassLoader->loadClass('MarkdownVanilla') #8 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(1799): spl_autoload_call('MarkdownVanilla') #9 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(2198): Gdn_Format::markdown('You really make...') #10 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(1096): Gdn_Format::to('You really make...', 'Markdown') #11 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/controllers/class.discussioncontroller.php(168): Gdn_Format::plainText('You really make...', 'Markdown') #12 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(845): DiscussionController->index('126029', 'just-wanted-to-...', '') #13 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(274): Gdn_Dispatcher->dispatchController(Object(Gdn_Request), Array) #14 /home/bdurrell/public_html/realeducated.com/forums/index.php(29): Gdn_Dispatcher->dispatch() #15 {main}``` Notice ```Array and string offset access syntax with curly braces is deprecated #0 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): gdn_ErrorHandler(8192, 'Array and strin...', '/home/bdurrell/...', 680, Array) #1 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): include() #2 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(322): Composer\Autoload\includeFile('/home/bdurrell/...') #3 [internal function]: Composer\Autoload\ClassLoader->loadClass('Michelf\\Markdow...') #4 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.markdownvanilla.php(18): spl_autoload_call('Michelf\\Markdow...') #5 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): include('/home/bdurrell/...') #6 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(322): Composer\Autoload\includeFile('/home/bdurrell/...') #7 [internal function]: Composer\Autoload\ClassLoader->loadClass('MarkdownVanilla') #8 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(1799): spl_autoload_call('MarkdownVanilla') #9 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(2198): Gdn_Format::markdown('You really make...') #10 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(1096): Gdn_Format::to('You really make...', 'Markdown') #11 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/controllers/class.discussioncontroller.php(168): Gdn_Format::plainText('You really make...', 'Markdown') #12 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(845): DiscussionController->index('126029', 'just-wanted-to-...', '') #13 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(274): Gdn_Dispatcher->dispatchController(Object(Gdn_Request), Array) #14 /home/bdurrell/public_html/realeducated.com/forums/index.php(29): Gdn_Dispatcher->dispatch() #15 {main}``` Notice ```Array and string offset access syntax with curly braces is deprecated #0 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): gdn_ErrorHandler(8192, 'Array and strin...', '/home/bdurrell/...', 681, Array) #1 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): include() #2 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(322): Composer\Autoload\includeFile('/home/bdurrell/...') #3 [internal function]: Composer\Autoload\ClassLoader->loadClass('Michelf\\Markdow...') #4 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.markdownvanilla.php(18): spl_autoload_call('Michelf\\Markdow...') #5 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): include('/home/bdurrell/...') #6 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(322): Composer\Autoload\includeFile('/home/bdurrell/...') #7 [internal function]: Composer\Autoload\ClassLoader->loadClass('MarkdownVanilla') #8 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(1799): spl_autoload_call('MarkdownVanilla') #9 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(2198): Gdn_Format::markdown('You really make...') #10 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(1096): Gdn_Format::to('You really make...', 'Markdown') #11 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/controllers/class.discussioncontroller.php(168): Gdn_Format::plainText('You really make...', 'Markdown') #12 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(845): DiscussionController->index('126029', 'just-wanted-to-...', '') #13 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(274): Gdn_Dispatcher->dispatchController(Object(Gdn_Request), Array) #14 /home/bdurrell/public_html/realeducated.com/forums/index.php(29): Gdn_Dispatcher->dispatch() #15 {main}``` Notice ```Array and string offset access syntax with curly braces is deprecated #0 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): gdn_ErrorHandler(8192, 'Array and strin...', '/home/bdurrell/...', 1068, Array) #1 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): include() #2 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(322): Composer\Autoload\includeFile('/home/bdurrell/...') #3 [internal function]: Composer\Autoload\ClassLoader->loadClass('Michelf\\Markdow...') #4 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.markdownvanilla.php(18): spl_autoload_call('Michelf\\Markdow...') #5 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): include('/home/bdurrell/...') #6 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(322): Composer\Autoload\includeFile('/home/bdurrell/...') #7 [internal function]: Composer\Autoload\ClassLoader->loadClass('MarkdownVanilla') #8 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(1799): spl_autoload_call('MarkdownVanilla') #9 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(2198): Gdn_Format::markdown('You really make...') #10 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(1096): Gdn_Format::to('You really make...', 'Markdown') #11 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/controllers/class.discussioncontroller.php(168): Gdn_Format::plainText('You really make...', 'Markdown') #12 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(845): DiscussionController->index('126029', 'just-wanted-to-...', '') #13 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(274): Gdn_Dispatcher->dispatchController(Object(Gdn_Request), Array) #14 /home/bdurrell/public_html/realeducated.com/forums/index.php(29): Gdn_Dispatcher->dispatch() #15 {main}``` Notice ```Array and string offset access syntax with curly braces is deprecated #0 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): gdn_ErrorHandler(8192, 'Array and strin...', '/home/bdurrell/...', 1463, Array) #1 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): include() #2 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(322): Composer\Autoload\includeFile('/home/bdurrell/...') #3 [internal function]: Composer\Autoload\ClassLoader->loadClass('Michelf\\Markdow...') #4 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.markdownvanilla.php(18): spl_autoload_call('Michelf\\Markdow...') #5 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): include('/home/bdurrell/...') #6 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(322): Composer\Autoload\includeFile('/home/bdurrell/...') #7 [internal function]: Composer\Autoload\ClassLoader->loadClass('MarkdownVanilla') #8 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(1799): spl_autoload_call('MarkdownVanilla') #9 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(2198): Gdn_Format::markdown('You really make...') #10 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(1096): Gdn_Format::to('You really make...', 'Markdown') #11 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/controllers/class.discussioncontroller.php(168): Gdn_Format::plainText('You really make...', 'Markdown') #12 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(845): DiscussionController->index('126029', 'just-wanted-to-...', '') #13 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(274): Gdn_Dispatcher->dispatchController(Object(Gdn_Request), Array) #14 /home/bdurrell/public_html/realeducated.com/forums/index.php(29): Gdn_Dispatcher->dispatch() #15 {main}``` Notice ```Array and string offset access syntax with curly braces is deprecated #0 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): gdn_ErrorHandler(8192, 'Array and strin...', '/home/bdurrell/...', 948, Array) #1 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): include() #2 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(322): Composer\Autoload\includeFile('/home/bdurrell/...') #3 [internal function]: Composer\Autoload\ClassLoader->loadClass('Michelf\\Markdow...') #4 /home/bdurrell/public_html/realeducated.com/forums/vendor/michelf/php-markdown/Michelf/MarkdownExtra.php(16): spl_autoload_call('Michelf\\Markdow...') #5 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): include('/home/bdurrell/...') #6 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(322): Composer\Autoload\includeFile('/home/bdurrell/...') #7 [internal function]: Composer\Autoload\ClassLoader->loadClass('Michelf\\Markdow...') #8 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.markdownvanilla.php(18): spl_autoload_call('Michelf\\Markdow...') #9 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): include('/home/bdurrell/...') #10 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(322): Composer\Autoload\includeFile('/home/bdurrell/...') #11 [internal function]: Composer\Autoload\ClassLoader->loadClass('MarkdownVanilla') #12 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(1799): spl_autoload_call('MarkdownVanilla') #13 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(2198): Gdn_Format::markdown('You really make...') #14 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(1096): Gdn_Format::to('You really make...', 'Markdown') #15 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/controllers/class.discussioncontroller.php(168): Gdn_Format::plainText('You really make...', 'Markdown') #16 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(845): DiscussionController->index('126029', 'just-wanted-to-...', '') #17 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(274): Gdn_Dispatcher->dispatchController(Object(Gdn_Request), Array) #18 /home/bdurrell/public_html/realeducated.com/forums/index.php(29): Gdn_Dispatcher->dispatch() #19 {main}``` Notice ```Array and string offset access syntax with curly braces is deprecated #0 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): gdn_ErrorHandler(8192, 'Array and strin...', '/home/bdurrell/...', 1349, Array) #1 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): include() #2 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(322): Composer\Autoload\includeFile('/home/bdurrell/...') #3 [internal function]: Composer\Autoload\ClassLoader->loadClass('Michelf\\Markdow...') #4 /home/bdurrell/public_html/realeducated.com/forums/vendor/michelf/php-markdown/Michelf/MarkdownExtra.php(16): spl_autoload_call('Michelf\\Markdow...') #5 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): include('/home/bdurrell/...') #6 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(322): Composer\Autoload\includeFile('/home/bdurrell/...') #7 [internal function]: Composer\Autoload\ClassLoader->loadClass('Michelf\\Markdow...') #8 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.markdownvanilla.php(18): spl_autoload_call('Michelf\\Markdow...') #9 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): include('/home/bdurrell/...') #10 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(322): Composer\Autoload\includeFile('/home/bdurrell/...') #11 [internal function]: Composer\Autoload\ClassLoader->loadClass('MarkdownVanilla') #12 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(1799): spl_autoload_call('MarkdownVanilla') #13 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(2198): Gdn_Format::markdown('You really make...') #14 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(1096): Gdn_Format::to('You really make...', 'Markdown') #15 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/controllers/class.discussioncontroller.php(168): Gdn_Format::plainText('You really make...', 'Markdown') #16 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(845): DiscussionController->index('126029', 'just-wanted-to-...', '') #17 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(274): Gdn_Dispatcher->dispatchController(Object(Gdn_Request), Array) #18 /home/bdurrell/public_html/realeducated.com/forums/index.php(29): Gdn_Dispatcher->dispatch() #19 {main}``` Notice ```Array and string offset access syntax with curly braces is deprecated #0 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): gdn_ErrorHandler(8192, 'Array and strin...', '/home/bdurrell/...', 1374, Array) #1 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): include() #2 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(322): Composer\Autoload\includeFile('/home/bdurrell/...') #3 [internal function]: Composer\Autoload\ClassLoader->loadClass('Michelf\\Markdow...') #4 /home/bdurrell/public_html/realeducated.com/forums/vendor/michelf/php-markdown/Michelf/MarkdownExtra.php(16): spl_autoload_call('Michelf\\Markdow...') #5 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): include('/home/bdurrell/...') #6 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(322): Composer\Autoload\includeFile('/home/bdurrell/...') #7 [internal function]: Composer\Autoload\ClassLoader->loadClass('Michelf\\Markdow...') #8 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.markdownvanilla.php(18): spl_autoload_call('Michelf\\Markdow...') #9 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): include('/home/bdurrell/...') #10 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(322): Composer\Autoload\includeFile('/home/bdurrell/...') #11 [internal function]: Composer\Autoload\ClassLoader->loadClass('MarkdownVanilla') #12 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(1799): spl_autoload_call('MarkdownVanilla') #13 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(2198): Gdn_Format::markdown('You really make...') #14 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(1096): Gdn_Format::to('You really make...', 'Markdown') #15 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/controllers/class.discussioncontroller.php(168): Gdn_Format::plainText('You really make...', 'Markdown') #16 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(845): DiscussionController->index('126029', 'just-wanted-to-...', '') #17 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(274): Gdn_Dispatcher->dispatchController(Object(Gdn_Request), Array) #18 /home/bdurrell/public_html/realeducated.com/forums/index.php(29): Gdn_Dispatcher->dispatch() #19 {main}``` Notice ```Array and string offset access syntax with curly braces is deprecated #0 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): gdn_ErrorHandler(8192, 'Array and strin...', '/home/bdurrell/...', 1785, Array) #1 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): include() #2 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(322): Composer\Autoload\includeFile('/home/bdurrell/...') #3 [internal function]: Composer\Autoload\ClassLoader->loadClass('Michelf\\Markdow...') #4 /home/bdurrell/public_html/realeducated.com/forums/vendor/michelf/php-markdown/Michelf/MarkdownExtra.php(16): spl_autoload_call('Michelf\\Markdow...') #5 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): include('/home/bdurrell/...') #6 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(322): Composer\Autoload\includeFile('/home/bdurrell/...') #7 [internal function]: Composer\Autoload\ClassLoader->loadClass('Michelf\\Markdow...') #8 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.markdownvanilla.php(18): spl_autoload_call('Michelf\\Markdow...') #9 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): include('/home/bdurrell/...') #10 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(322): Composer\Autoload\includeFile('/home/bdurrell/...') #11 [internal function]: Composer\Autoload\ClassLoader->loadClass('MarkdownVanilla') #12 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(1799): spl_autoload_call('MarkdownVanilla') #13 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(2198): Gdn_Format::markdown('You really make...') #14 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(1096): Gdn_Format::to('You really make...', 'Markdown') #15 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/controllers/class.discussioncontroller.php(168): Gdn_Format::plainText('You really make...', 'Markdown') #16 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(845): DiscussionController->index('126029', 'just-wanted-to-...', '') #17 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(274): Gdn_Dispatcher->dispatchController(Object(Gdn_Request), Array) #18 /home/bdurrell/public_html/realeducated.com/forums/index.php(29): Gdn_Dispatcher->dispatch() #19 {main}``` Notice ```Array and string offset access syntax with curly braces is deprecated #0 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): gdn_ErrorHandler(8192, 'Array and strin...', '/home/bdurrell/...', 1787, Array) #1 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): include() #2 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(322): Composer\Autoload\includeFile('/home/bdurrell/...') #3 [internal function]: Composer\Autoload\ClassLoader->loadClass('Michelf\\Markdow...') #4 /home/bdurrell/public_html/realeducated.com/forums/vendor/michelf/php-markdown/Michelf/MarkdownExtra.php(16): spl_autoload_call('Michelf\\Markdow...') #5 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): include('/home/bdurrell/...') #6 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(322): Composer\Autoload\includeFile('/home/bdurrell/...') #7 [internal function]: Composer\Autoload\ClassLoader->loadClass('Michelf\\Markdow...') #8 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.markdownvanilla.php(18): spl_autoload_call('Michelf\\Markdow...') #9 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(444): include('/home/bdurrell/...') #10 /home/bdurrell/public_html/realeducated.com/forums/vendor/composer/ClassLoader.php(322): Composer\Autoload\includeFile('/home/bdurrell/...') #11 [internal function]: Composer\Autoload\ClassLoader->loadClass('MarkdownVanilla') #12 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(1799): spl_autoload_call('MarkdownVanilla') #13 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(2198): Gdn_Format::markdown('You really make...') #14 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(1096): Gdn_Format::to('You really make...', 'Markdown') #15 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/controllers/class.discussioncontroller.php(168): Gdn_Format::plainText('You really make...', 'Markdown') #16 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(845): DiscussionController->index('126029', 'just-wanted-to-...', '') #17 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(274): Gdn_Dispatcher->dispatchController(Object(Gdn_Request), Array) #18 /home/bdurrell/public_html/realeducated.com/forums/index.php(29): Gdn_Dispatcher->dispatch() #19 {main}``` Notice ```Function create_function() is deprecated #0 /home/bdurrell/public_html/realeducated.com/forums/vendor/michelf/php-markdown/Michelf/Markdown.php(1873): gdn_ErrorHandler(8192, 'Function create...', '/home/bdurrell/...', 1873, Array) #1 /home/bdurrell/public_html/realeducated.com/forums/vendor/michelf/php-markdown/Michelf/Markdown.php(156): Michelf\Markdown->_initDetab() #2 /home/bdurrell/public_html/realeducated.com/forums/vendor/michelf/php-markdown/Michelf/MarkdownExtra.php(108): Michelf\Markdown->__construct() #3 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(1799): Michelf\MarkdownExtra->__construct() #4 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(2198): Gdn_Format::markdown('You really make...') #5 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(1096): Gdn_Format::to('You really make...', 'Markdown') #6 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/controllers/class.discussioncontroller.php(168): Gdn_Format::plainText('You really make...', 'Markdown') #7 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(845): DiscussionController->index('126029', 'just-wanted-to-...', '') #8 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(274): Gdn_Dispatcher->dispatchController(Object(Gdn_Request), Array) #9 /home/bdurrell/public_html/realeducated.com/forums/index.php(29): Gdn_Dispatcher->dispatch() #10 {main}``` Notice ```Function create_function() is deprecated #0 /home/bdurrell/public_html/realeducated.com/forums/vendor/michelf/php-markdown/Michelf/Markdown.php(1873): gdn_ErrorHandler(8192, 'Function create...', '/home/bdurrell/...', 1873, Array) #1 /home/bdurrell/public_html/realeducated.com/forums/vendor/michelf/php-markdown/Michelf/Markdown.php(156): Michelf\Markdown->_initDetab() #2 /home/bdurrell/public_html/realeducated.com/forums/vendor/michelf/php-markdown/Michelf/MarkdownExtra.php(108): Michelf\Markdown->__construct() #3 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(1799): Michelf\MarkdownExtra->__construct() #4 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(2198): Gdn_Format::markdown('You really make...') #5 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/controllers/class.discussioncontroller.php(170): Gdn_Format::to('You really make...', 'Markdown') #6 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(845): DiscussionController->index('126029', 'just-wanted-to-...', '') #7 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(274): Gdn_Dispatcher->dispatchController(Object(Gdn_Request), Array) #8 /home/bdurrell/public_html/realeducated.com/forums/index.php(29): Gdn_Dispatcher->dispatch() #9 {main}``` Notice ```Function create_function() is deprecated #0 /home/bdurrell/public_html/realeducated.com/forums/vendor/michelf/php-markdown/Michelf/Markdown.php(1873): gdn_ErrorHandler(8192, 'Function create...', '/home/bdurrell/...', 1873, Array) #1 /home/bdurrell/public_html/realeducated.com/forums/vendor/michelf/php-markdown/Michelf/Markdown.php(156): Michelf\Markdown->_initDetab() #2 /home/bdurrell/public_html/realeducated.com/forums/vendor/michelf/php-markdown/Michelf/MarkdownExtra.php(108): Michelf\Markdown->__construct() #3 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(1799): Michelf\MarkdownExtra->__construct() #4 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.format.php(2198): Gdn_Format::markdown('You really make...') #5 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/views/discussion/helper_functions.php(24): Gdn_Format::to('You really make...', 'Markdown') #6 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/views/discussion/discussion.php(89): formatBody(Object(stdClass)) #7 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/views/discussion/index.php(31): include('/home/bdurrell/...') #8 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.controller.php(718): include('/home/bdurrell/...') #9 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.controller.php(1316): Gdn_Controller->fetchView('', false, false) #10 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.pluggable.php(210): Gdn_Controller->xRender() #11 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/controllers/class.discussioncontroller.php(279): Gdn_Pluggable->__call('render', Array) #12 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(845): DiscussionController->index('126029', 'just-wanted-to-...', '') #13 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(274): Gdn_Dispatcher->dispatchController(Object(Gdn_Request), Array) #14 /home/bdurrell/public_html/realeducated.com/forums/index.php(29): Gdn_Dispatcher->dispatch() #15 {main}``` Notice ```Trying to access array offset on value of type bool #0 /home/bdurrell/public_html/realeducated.com/forums/cache/Smarty/compile/vanilla^dfd3cb91447a990622a084888f161cbd51217ba9_0.file.default.master.tpl.php(70): gdn_ErrorHandler(8, 'Trying to acces...', '/home/bdurrell/...', 70, Array) #1 /home/bdurrell/public_html/realeducated.com/forums/vendor/smarty/smarty/libs/sysplugins/smarty_template_resource_base.php(123): content_5bb46009911e26_60856270(Object(Smarty_Internal_Template)) #2 /home/bdurrell/public_html/realeducated.com/forums/vendor/smarty/smarty/libs/sysplugins/smarty_template_compiled.php(114): Smarty_Template_Resource_Base->getRenderedTemplateCode(Object(Smarty_Internal_Template)) #3 /home/bdurrell/public_html/realeducated.com/forums/vendor/smarty/smarty/libs/sysplugins/smarty_internal_template.php(216): Smarty_Template_Compiled->render(Object(Smarty_Internal_Template)) #4 /home/bdurrell/public_html/realeducated.com/forums/vendor/smarty/smarty/libs/sysplugins/smarty_internal_templatebase.php(232): Smarty_Internal_Template->render(false, 1) #5 /home/bdurrell/public_html/realeducated.com/forums/vendor/smarty/smarty/libs/sysplugins/smarty_internal_templatebase.php(134): Smarty_Internal_TemplateBase->_execute(Object(Smarty_Internal_Template), NULL, 'vanilla', NULL, 1) #6 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.smarty.php(161): Smarty_Internal_TemplateBase->display('/home/bdurrell/...', NULL, 'vanilla') #7 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.controller.php(1957): Gdn_Smarty->render('/home/bdurrell/...', Object(DiscussionController)) #8 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.controller.php(1401): Gdn_Controller->renderMaster() #9 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.pluggable.php(210): Gdn_Controller->xRender() #10 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/controllers/class.discussioncontroller.php(279): Gdn_Pluggable->__call('render', Array) #11 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(845): DiscussionController->index('126029', 'just-wanted-to-...', '') #12 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(274): Gdn_Dispatcher->dispatchController(Object(Gdn_Request), Array) #13 /home/bdurrell/public_html/realeducated.com/forums/index.php(29): Gdn_Dispatcher->dispatch() #14 {main}``` Notice ```Trying to access array offset on value of type bool #0 /home/bdurrell/public_html/realeducated.com/forums/cache/Smarty/compile/vanilla^dfd3cb91447a990622a084888f161cbd51217ba9_0.file.default.master.tpl.php(115): gdn_ErrorHandler(8, 'Trying to acces...', '/home/bdurrell/...', 115, Array) #1 /home/bdurrell/public_html/realeducated.com/forums/vendor/smarty/smarty/libs/sysplugins/smarty_template_resource_base.php(123): content_5bb46009911e26_60856270(Object(Smarty_Internal_Template)) #2 /home/bdurrell/public_html/realeducated.com/forums/vendor/smarty/smarty/libs/sysplugins/smarty_template_compiled.php(114): Smarty_Template_Resource_Base->getRenderedTemplateCode(Object(Smarty_Internal_Template)) #3 /home/bdurrell/public_html/realeducated.com/forums/vendor/smarty/smarty/libs/sysplugins/smarty_internal_template.php(216): Smarty_Template_Compiled->render(Object(Smarty_Internal_Template)) #4 /home/bdurrell/public_html/realeducated.com/forums/vendor/smarty/smarty/libs/sysplugins/smarty_internal_templatebase.php(232): Smarty_Internal_Template->render(false, 1) #5 /home/bdurrell/public_html/realeducated.com/forums/vendor/smarty/smarty/libs/sysplugins/smarty_internal_templatebase.php(134): Smarty_Internal_TemplateBase->_execute(Object(Smarty_Internal_Template), NULL, 'vanilla', NULL, 1) #6 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.smarty.php(161): Smarty_Internal_TemplateBase->display('/home/bdurrell/...', NULL, 'vanilla') #7 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.controller.php(1957): Gdn_Smarty->render('/home/bdurrell/...', Object(DiscussionController)) #8 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.controller.php(1401): Gdn_Controller->renderMaster() #9 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.pluggable.php(210): Gdn_Controller->xRender() #10 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/controllers/class.discussioncontroller.php(279): Gdn_Pluggable->__call('render', Array) #11 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(845): DiscussionController->index('126029', 'just-wanted-to-...', '') #12 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(274): Gdn_Dispatcher->dispatchController(Object(Gdn_Request), Array) #13 /home/bdurrell/public_html/realeducated.com/forums/index.php(29): Gdn_Dispatcher->dispatch() #14 {main}``` Notice ```Trying to access array offset on value of type bool #0 /home/bdurrell/public_html/realeducated.com/forums/cache/Smarty/compile/vanilla^dfd3cb91447a990622a084888f161cbd51217ba9_0.file.default.master.tpl.php(149): gdn_ErrorHandler(8, 'Trying to acces...', '/home/bdurrell/...', 149, Array) #1 /home/bdurrell/public_html/realeducated.com/forums/vendor/smarty/smarty/libs/sysplugins/smarty_template_resource_base.php(123): content_5bb46009911e26_60856270(Object(Smarty_Internal_Template)) #2 /home/bdurrell/public_html/realeducated.com/forums/vendor/smarty/smarty/libs/sysplugins/smarty_template_compiled.php(114): Smarty_Template_Resource_Base->getRenderedTemplateCode(Object(Smarty_Internal_Template)) #3 /home/bdurrell/public_html/realeducated.com/forums/vendor/smarty/smarty/libs/sysplugins/smarty_internal_template.php(216): Smarty_Template_Compiled->render(Object(Smarty_Internal_Template)) #4 /home/bdurrell/public_html/realeducated.com/forums/vendor/smarty/smarty/libs/sysplugins/smarty_internal_templatebase.php(232): Smarty_Internal_Template->render(false, 1) #5 /home/bdurrell/public_html/realeducated.com/forums/vendor/smarty/smarty/libs/sysplugins/smarty_internal_templatebase.php(134): Smarty_Internal_TemplateBase->_execute(Object(Smarty_Internal_Template), NULL, 'vanilla', NULL, 1) #6 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.smarty.php(161): Smarty_Internal_TemplateBase->display('/home/bdurrell/...', NULL, 'vanilla') #7 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.controller.php(1957): Gdn_Smarty->render('/home/bdurrell/...', Object(DiscussionController)) #8 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.controller.php(1401): Gdn_Controller->renderMaster() #9 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.pluggable.php(210): Gdn_Controller->xRender() #10 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/controllers/class.discussioncontroller.php(279): Gdn_Pluggable->__call('render', Array) #11 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(845): DiscussionController->index('126029', 'just-wanted-to-...', '') #12 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(274): Gdn_Dispatcher->dispatchController(Object(Gdn_Request), Array) #13 /home/bdurrell/public_html/realeducated.com/forums/index.php(29): Gdn_Dispatcher->dispatch() #14 {main}``` Notice ```Trying to access array offset on value of type bool #0 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/models/class.categorymodel.php(241): gdn_ErrorHandler(8, 'Trying to acces...', '/home/bdurrell/...', 241, Array) #1 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/models/class.categorymodel.php(2812): CategoryModel->calculateUser(Array) #2 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/library/class.categorycollection.php(282): CategoryModel->{closure}(Array) #3 [internal function]: CategoryCollection->calculateDynamic(Array, 0) #4 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/library/class.categorycollection.php(490): array_walk(Array, Array) #5 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/library/class.categorycollection.php(424): CategoryCollection->getChildrenByParents(Array, 'PermsDiscussion...') #6 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/models/class.categorymodel.php(911): CategoryCollection->getTree(-1, Array) #7 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/modules/class.categoriesmodule.php(54): CategoryModel->getChildTree(NULL, Array) #8 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/modules/class.categoriesmodule.php(78): CategoriesModule->getData() #9 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.module.php(258): CategoriesModule->toString() #10 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.modulecollection.php(45): Gdn_Module->render() #11 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.modulecollection.php(69): Gdn_ModuleCollection->render() #12 /home/bdurrell/public_html/realeducated.com/forums/library/SmartyPlugins/function.asset.php(45): Gdn_ModuleCollection->toString() #13 /home/bdurrell/public_html/realeducated.com/forums/cache/Smarty/compile/vanilla^dfd3cb91447a990622a084888f161cbd51217ba9_0.file.default.master.tpl.php(169): smarty_function_asset(Array, Object(Smarty_Internal_Template)) #14 /home/bdurrell/public_html/realeducated.com/forums/vendor/smarty/smarty/libs/sysplugins/smarty_template_resource_base.php(123): content_5bb46009911e26_60856270(Object(Smarty_Internal_Template)) #15 /home/bdurrell/public_html/realeducated.com/forums/vendor/smarty/smarty/libs/sysplugins/smarty_template_compiled.php(114): Smarty_Template_Resource_Base->getRenderedTemplateCode(Object(Smarty_Internal_Template)) #16 /home/bdurrell/public_html/realeducated.com/forums/vendor/smarty/smarty/libs/sysplugins/smarty_internal_template.php(216): Smarty_Template_Compiled->render(Object(Smarty_Internal_Template)) #17 /home/bdurrell/public_html/realeducated.com/forums/vendor/smarty/smarty/libs/sysplugins/smarty_internal_templatebase.php(232): Smarty_Internal_Template->render(false, 1) #18 /home/bdurrell/public_html/realeducated.com/forums/vendor/smarty/smarty/libs/sysplugins/smarty_internal_templatebase.php(134): Smarty_Internal_TemplateBase->_execute(Object(Smarty_Internal_Template), NULL, 'vanilla', NULL, 1) #19 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.smarty.php(161): Smarty_Internal_TemplateBase->display('/home/bdurrell/...', NULL, 'vanilla') #20 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.controller.php(1957): Gdn_Smarty->render('/home/bdurrell/...', Object(DiscussionController)) #21 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.controller.php(1401): Gdn_Controller->renderMaster() #22 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.pluggable.php(210): Gdn_Controller->xRender() #23 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/controllers/class.discussioncontroller.php(279): Gdn_Pluggable->__call('render', Array) #24 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(845): DiscussionController->index('126029', 'just-wanted-to-...', '') #25 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(274): Gdn_Dispatcher->dispatchController(Object(Gdn_Request), Array) #26 /home/bdurrell/public_html/realeducated.com/forums/index.php(29): Gdn_Dispatcher->dispatch() #27 {main}``` Notice ```Trying to access array offset on value of type bool #0 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/models/class.categorymodel.php(241): gdn_ErrorHandler(8, 'Trying to acces...', '/home/bdurrell/...', 241, Array) #1 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/models/class.categorymodel.php(2812): CategoryModel->calculateUser(Array) #2 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/library/class.categorycollection.php(282): CategoryModel->{closure}(Array) #3 [internal function]: CategoryCollection->calculateDynamic(Array, 1) #4 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/library/class.categorycollection.php(490): array_walk(Array, Array) #5 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/library/class.categorycollection.php(424): CategoryCollection->getChildrenByParents(Array, 'PermsDiscussion...') #6 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/models/class.categorymodel.php(911): CategoryCollection->getTree(-1, Array) #7 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/modules/class.categoriesmodule.php(54): CategoryModel->getChildTree(NULL, Array) #8 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/modules/class.categoriesmodule.php(78): CategoriesModule->getData() #9 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.module.php(258): CategoriesModule->toString() #10 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.modulecollection.php(45): Gdn_Module->render() #11 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.modulecollection.php(69): Gdn_ModuleCollection->render() #12 /home/bdurrell/public_html/realeducated.com/forums/library/SmartyPlugins/function.asset.php(45): Gdn_ModuleCollection->toString() #13 /home/bdurrell/public_html/realeducated.com/forums/cache/Smarty/compile/vanilla^dfd3cb91447a990622a084888f161cbd51217ba9_0.file.default.master.tpl.php(169): smarty_function_asset(Array, Object(Smarty_Internal_Template)) #14 /home/bdurrell/public_html/realeducated.com/forums/vendor/smarty/smarty/libs/sysplugins/smarty_template_resource_base.php(123): content_5bb46009911e26_60856270(Object(Smarty_Internal_Template)) #15 /home/bdurrell/public_html/realeducated.com/forums/vendor/smarty/smarty/libs/sysplugins/smarty_template_compiled.php(114): Smarty_Template_Resource_Base->getRenderedTemplateCode(Object(Smarty_Internal_Template)) #16 /home/bdurrell/public_html/realeducated.com/forums/vendor/smarty/smarty/libs/sysplugins/smarty_internal_template.php(216): Smarty_Template_Compiled->render(Object(Smarty_Internal_Template)) #17 /home/bdurrell/public_html/realeducated.com/forums/vendor/smarty/smarty/libs/sysplugins/smarty_internal_templatebase.php(232): Smarty_Internal_Template->render(false, 1) #18 /home/bdurrell/public_html/realeducated.com/forums/vendor/smarty/smarty/libs/sysplugins/smarty_internal_templatebase.php(134): Smarty_Internal_TemplateBase->_execute(Object(Smarty_Internal_Template), NULL, 'vanilla', NULL, 1) #19 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.smarty.php(161): Smarty_Internal_TemplateBase->display('/home/bdurrell/...', NULL, 'vanilla') #20 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.controller.php(1957): Gdn_Smarty->render('/home/bdurrell/...', Object(DiscussionController)) #21 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.controller.php(1401): Gdn_Controller->renderMaster() #22 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.pluggable.php(210): Gdn_Controller->xRender() #23 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/controllers/class.discussioncontroller.php(279): Gdn_Pluggable->__call('render', Array) #24 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(845): DiscussionController->index('126029', 'just-wanted-to-...', '') #25 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(274): Gdn_Dispatcher->dispatchController(Object(Gdn_Request), Array) #26 /home/bdurrell/public_html/realeducated.com/forums/index.php(29): Gdn_Dispatcher->dispatch() #27 {main}``` Notice ```Trying to access array offset on value of type bool #0 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/models/class.categorymodel.php(241): gdn_ErrorHandler(8, 'Trying to acces...', '/home/bdurrell/...', 241, Array) #1 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/models/class.categorymodel.php(2812): CategoryModel->calculateUser(Array) #2 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/library/class.categorycollection.php(282): CategoryModel->{closure}(Array) #3 [internal function]: CategoryCollection->calculateDynamic(Array, 2) #4 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/library/class.categorycollection.php(490): array_walk(Array, Array) #5 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/library/class.categorycollection.php(424): CategoryCollection->getChildrenByParents(Array, 'PermsDiscussion...') #6 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/models/class.categorymodel.php(911): CategoryCollection->getTree(-1, Array) #7 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/modules/class.categoriesmodule.php(54): CategoryModel->getChildTree(NULL, Array) #8 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/modules/class.categoriesmodule.php(78): CategoriesModule->getData() #9 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.module.php(258): CategoriesModule->toString() #10 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.modulecollection.php(45): Gdn_Module->render() #11 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.modulecollection.php(69): Gdn_ModuleCollection->render() #12 /home/bdurrell/public_html/realeducated.com/forums/library/SmartyPlugins/function.asset.php(45): Gdn_ModuleCollection->toString() #13 /home/bdurrell/public_html/realeducated.com/forums/cache/Smarty/compile/vanilla^dfd3cb91447a990622a084888f161cbd51217ba9_0.file.default.master.tpl.php(169): smarty_function_asset(Array, Object(Smarty_Internal_Template)) #14 /home/bdurrell/public_html/realeducated.com/forums/vendor/smarty/smarty/libs/sysplugins/smarty_template_resource_base.php(123): content_5bb46009911e26_60856270(Object(Smarty_Internal_Template)) #15 /home/bdurrell/public_html/realeducated.com/forums/vendor/smarty/smarty/libs/sysplugins/smarty_template_compiled.php(114): Smarty_Template_Resource_Base->getRenderedTemplateCode(Object(Smarty_Internal_Template)) #16 /home/bdurrell/public_html/realeducated.com/forums/vendor/smarty/smarty/libs/sysplugins/smarty_internal_template.php(216): Smarty_Template_Compiled->render(Object(Smarty_Internal_Template)) #17 /home/bdurrell/public_html/realeducated.com/forums/vendor/smarty/smarty/libs/sysplugins/smarty_internal_templatebase.php(232): Smarty_Internal_Template->render(false, 1) #18 /home/bdurrell/public_html/realeducated.com/forums/vendor/smarty/smarty/libs/sysplugins/smarty_internal_templatebase.php(134): Smarty_Internal_TemplateBase->_execute(Object(Smarty_Internal_Template), NULL, 'vanilla', NULL, 1) #19 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.smarty.php(161): Smarty_Internal_TemplateBase->display('/home/bdurrell/...', NULL, 'vanilla') #20 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.controller.php(1957): Gdn_Smarty->render('/home/bdurrell/...', Object(DiscussionController)) #21 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.controller.php(1401): Gdn_Controller->renderMaster() #22 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.pluggable.php(210): Gdn_Controller->xRender() #23 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/controllers/class.discussioncontroller.php(279): Gdn_Pluggable->__call('render', Array) #24 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(845): DiscussionController->index('126029', 'just-wanted-to-...', '') #25 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(274): Gdn_Dispatcher->dispatchController(Object(Gdn_Request), Array) #26 /home/bdurrell/public_html/realeducated.com/forums/index.php(29): Gdn_Dispatcher->dispatch() #27 {main}``` Notice ```Trying to access array offset on value of type bool #0 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/models/class.categorymodel.php(241): gdn_ErrorHandler(8, 'Trying to acces...', '/home/bdurrell/...', 241, Array) #1 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/models/class.categorymodel.php(2812): CategoryModel->calculateUser(Array) #2 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/library/class.categorycollection.php(282): CategoryModel->{closure}(Array) #3 [internal function]: CategoryCollection->calculateDynamic(Array, 3) #4 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/library/class.categorycollection.php(490): array_walk(Array, Array) #5 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/library/class.categorycollection.php(424): CategoryCollection->getChildrenByParents(Array, 'PermsDiscussion...') #6 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/models/class.categorymodel.php(911): CategoryCollection->getTree(-1, Array) #7 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/modules/class.categoriesmodule.php(54): CategoryModel->getChildTree(NULL, Array) #8 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/modules/class.categoriesmodule.php(78): CategoriesModule->getData() #9 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.module.php(258): CategoriesModule->toString() #10 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.modulecollection.php(45): Gdn_Module->render() #11 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.modulecollection.php(69): Gdn_ModuleCollection->render() #12 /home/bdurrell/public_html/realeducated.com/forums/library/SmartyPlugins/function.asset.php(45): Gdn_ModuleCollection->toString() #13 /home/bdurrell/public_html/realeducated.com/forums/cache/Smarty/compile/vanilla^dfd3cb91447a990622a084888f161cbd51217ba9_0.file.default.master.tpl.php(169): smarty_function_asset(Array, Object(Smarty_Internal_Template)) #14 /home/bdurrell/public_html/realeducated.com/forums/vendor/smarty/smarty/libs/sysplugins/smarty_template_resource_base.php(123): content_5bb46009911e26_60856270(Object(Smarty_Internal_Template)) #15 /home/bdurrell/public_html/realeducated.com/forums/vendor/smarty/smarty/libs/sysplugins/smarty_template_compiled.php(114): Smarty_Template_Resource_Base->getRenderedTemplateCode(Object(Smarty_Internal_Template)) #16 /home/bdurrell/public_html/realeducated.com/forums/vendor/smarty/smarty/libs/sysplugins/smarty_internal_template.php(216): Smarty_Template_Compiled->render(Object(Smarty_Internal_Template)) #17 /home/bdurrell/public_html/realeducated.com/forums/vendor/smarty/smarty/libs/sysplugins/smarty_internal_templatebase.php(232): Smarty_Internal_Template->render(false, 1) #18 /home/bdurrell/public_html/realeducated.com/forums/vendor/smarty/smarty/libs/sysplugins/smarty_internal_templatebase.php(134): Smarty_Internal_TemplateBase->_execute(Object(Smarty_Internal_Template), NULL, 'vanilla', NULL, 1) #19 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.smarty.php(161): Smarty_Internal_TemplateBase->display('/home/bdurrell/...', NULL, 'vanilla') #20 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.controller.php(1957): Gdn_Smarty->render('/home/bdurrell/...', Object(DiscussionController)) #21 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.controller.php(1401): Gdn_Controller->renderMaster() #22 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.pluggable.php(210): Gdn_Controller->xRender() #23 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/controllers/class.discussioncontroller.php(279): Gdn_Pluggable->__call('render', Array) #24 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(845): DiscussionController->index('126029', 'just-wanted-to-...', '') #25 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(274): Gdn_Dispatcher->dispatchController(Object(Gdn_Request), Array) #26 /home/bdurrell/public_html/realeducated.com/forums/index.php(29): Gdn_Dispatcher->dispatch() #27 {main}``` Notice ```Trying to access array offset on value of type bool #0 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/models/class.categorymodel.php(241): gdn_ErrorHandler(8, 'Trying to acces...', '/home/bdurrell/...', 241, Array) #1 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/models/class.categorymodel.php(2812): CategoryModel->calculateUser(Array) #2 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/library/class.categorycollection.php(282): CategoryModel->{closure}(Array) #3 [internal function]: CategoryCollection->calculateDynamic(Array, 4) #4 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/library/class.categorycollection.php(490): array_walk(Array, Array) #5 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/library/class.categorycollection.php(424): CategoryCollection->getChildrenByParents(Array, 'PermsDiscussion...') #6 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/models/class.categorymodel.php(911): CategoryCollection->getTree(-1, Array) #7 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/modules/class.categoriesmodule.php(54): CategoryModel->getChildTree(NULL, Array) #8 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/modules/class.categoriesmodule.php(78): CategoriesModule->getData() #9 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.module.php(258): CategoriesModule->toString() #10 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.modulecollection.php(45): Gdn_Module->render() #11 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.modulecollection.php(69): Gdn_ModuleCollection->render() #12 /home/bdurrell/public_html/realeducated.com/forums/library/SmartyPlugins/function.asset.php(45): Gdn_ModuleCollection->toString() #13 /home/bdurrell/public_html/realeducated.com/forums/cache/Smarty/compile/vanilla^dfd3cb91447a990622a084888f161cbd51217ba9_0.file.default.master.tpl.php(169): smarty_function_asset(Array, Object(Smarty_Internal_Template)) #14 /home/bdurrell/public_html/realeducated.com/forums/vendor/smarty/smarty/libs/sysplugins/smarty_template_resource_base.php(123): content_5bb46009911e26_60856270(Object(Smarty_Internal_Template)) #15 /home/bdurrell/public_html/realeducated.com/forums/vendor/smarty/smarty/libs/sysplugins/smarty_template_compiled.php(114): Smarty_Template_Resource_Base->getRenderedTemplateCode(Object(Smarty_Internal_Template)) #16 /home/bdurrell/public_html/realeducated.com/forums/vendor/smarty/smarty/libs/sysplugins/smarty_internal_template.php(216): Smarty_Template_Compiled->render(Object(Smarty_Internal_Template)) #17 /home/bdurrell/public_html/realeducated.com/forums/vendor/smarty/smarty/libs/sysplugins/smarty_internal_templatebase.php(232): Smarty_Internal_Template->render(false, 1) #18 /home/bdurrell/public_html/realeducated.com/forums/vendor/smarty/smarty/libs/sysplugins/smarty_internal_templatebase.php(134): Smarty_Internal_TemplateBase->_execute(Object(Smarty_Internal_Template), NULL, 'vanilla', NULL, 1) #19 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.smarty.php(161): Smarty_Internal_TemplateBase->display('/home/bdurrell/...', NULL, 'vanilla') #20 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.controller.php(1957): Gdn_Smarty->render('/home/bdurrell/...', Object(DiscussionController)) #21 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.controller.php(1401): Gdn_Controller->renderMaster() #22 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.pluggable.php(210): Gdn_Controller->xRender() #23 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/controllers/class.discussioncontroller.php(279): Gdn_Pluggable->__call('render', Array) #24 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(845): DiscussionController->index('126029', 'just-wanted-to-...', '') #25 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(274): Gdn_Dispatcher->dispatchController(Object(Gdn_Request), Array) #26 /home/bdurrell/public_html/realeducated.com/forums/index.php(29): Gdn_Dispatcher->dispatch() #27 {main}``` Notice ```Trying to access array offset on value of type bool #0 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/models/class.categorymodel.php(241): gdn_ErrorHandler(8, 'Trying to acces...', '/home/bdurrell/...', 241, Array) #1 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/models/class.categorymodel.php(2812): CategoryModel->calculateUser(Array) #2 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/library/class.categorycollection.php(282): CategoryModel->{closure}(Array) #3 [internal function]: CategoryCollection->calculateDynamic(Array, 5) #4 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/library/class.categorycollection.php(490): array_walk(Array, Array) #5 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/library/class.categorycollection.php(424): CategoryCollection->getChildrenByParents(Array, 'PermsDiscussion...') #6 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/models/class.categorymodel.php(911): CategoryCollection->getTree(-1, Array) #7 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/modules/class.categoriesmodule.php(54): CategoryModel->getChildTree(NULL, Array) #8 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/modules/class.categoriesmodule.php(78): CategoriesModule->getData() #9 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.module.php(258): CategoriesModule->toString() #10 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.modulecollection.php(45): Gdn_Module->render() #11 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.modulecollection.php(69): Gdn_ModuleCollection->render() #12 /home/bdurrell/public_html/realeducated.com/forums/library/SmartyPlugins/function.asset.php(45): Gdn_ModuleCollection->toString() #13 /home/bdurrell/public_html/realeducated.com/forums/cache/Smarty/compile/vanilla^dfd3cb91447a990622a084888f161cbd51217ba9_0.file.default.master.tpl.php(169): smarty_function_asset(Array, Object(Smarty_Internal_Template)) #14 /home/bdurrell/public_html/realeducated.com/forums/vendor/smarty/smarty/libs/sysplugins/smarty_template_resource_base.php(123): content_5bb46009911e26_60856270(Object(Smarty_Internal_Template)) #15 /home/bdurrell/public_html/realeducated.com/forums/vendor/smarty/smarty/libs/sysplugins/smarty_template_compiled.php(114): Smarty_Template_Resource_Base->getRenderedTemplateCode(Object(Smarty_Internal_Template)) #16 /home/bdurrell/public_html/realeducated.com/forums/vendor/smarty/smarty/libs/sysplugins/smarty_internal_template.php(216): Smarty_Template_Compiled->render(Object(Smarty_Internal_Template)) #17 /home/bdurrell/public_html/realeducated.com/forums/vendor/smarty/smarty/libs/sysplugins/smarty_internal_templatebase.php(232): Smarty_Internal_Template->render(false, 1) #18 /home/bdurrell/public_html/realeducated.com/forums/vendor/smarty/smarty/libs/sysplugins/smarty_internal_templatebase.php(134): Smarty_Internal_TemplateBase->_execute(Object(Smarty_Internal_Template), NULL, 'vanilla', NULL, 1) #19 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.smarty.php(161): Smarty_Internal_TemplateBase->display('/home/bdurrell/...', NULL, 'vanilla') #20 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.controller.php(1957): Gdn_Smarty->render('/home/bdurrell/...', Object(DiscussionController)) #21 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.controller.php(1401): Gdn_Controller->renderMaster() #22 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.pluggable.php(210): Gdn_Controller->xRender() #23 /home/bdurrell/public_html/realeducated.com/forums/applications/vanilla/controllers/class.discussioncontroller.php(279): Gdn_Pluggable->__call('render', Array) #24 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(845): DiscussionController->index('126029', 'just-wanted-to-...', '') #25 /home/bdurrell/public_html/realeducated.com/forums/library/core/class.dispatcher.php(274): Gdn_Dispatcher->dispatchController(Object(Gdn_Request), Array) #26 /home/bdurrell/public_html/realeducated.com/forums/index.php(29): Gdn_Dispatcher->dispatch() #27 {main}```


text:
This love loves love. It's a strange love, strange love.find a way to lovemore quotes

# visualization: beautiful

In Silico Flurries: Computing a world of snow. Scientific American. 23 December 2017

# visualization + design

Working with senior graphics editor at Scientific American Jen Christiansen, I have designed three Graphic Science visualizations for the magazine.

December 2015. Composition of bacteria in household dust.
June 2015. Relationship between genes and traits.
September 2014. Similarity of human, Denisovan, chimp, bonobo, and gorilla genomes.

# Men and Women Alter a Home's Bacteria Differently

## An analysis of dust reveals how the presence of men, women, dogs and cats affects the variety of bacteria in a household

### December 2015, Scientific American Volume 313, Issue 6

This collaboration with Jeanine Hunnicutt explored differences in household dust bacteria based on the gender and pet status of the occupants.

We have also written about the making of the graphic, for those interested in how these things come together.

Graphic by Martin Krzywinski and Barbara Jeanine Hunnicutt.

Catalogue of bacteria shapes by Barbara Jeanine Hunnicutt.

Source: Barberan A et al. (2015) The ecology of microscopic life in household dust. Proc. R. Soc. B 282: 20151139.

# A Road Map to the "Volume Control" of Genes

## Genes, traits and disease are linked in complex and surprising ways

### June 2015, Scientific American Volume 312, Issue 6

Because sometimes only a network hairball will do.

Graphic by Martin Krzywinski.

Source: Integrative analysis of 111 reference human epigenomes. (2015) Nature 518:317.

# Tiny Genetic Differences between Humans and Other Primates Pervade the Genome

## Genome comparisons reveal the DNA that distinguishes Homo sapiens from its kin

### September 2014, Scientific American Volume 311, Issue 3

A Scientific American blog entry "A Monkey's Blueprint" accompanies this piece. I also have a more detailed description with links to data sources.

You can also read more about Hilbert curves and creatures that live on it, Hilbertonians.

This design won a bronze award at Malofiej 23. For more information about Malofiej, see the SA Visual blog entry "There's No Infographic without Info (and other Lessons from Malofiej)".

Graphic by Martin Krzywinski, illustrations by Portia Sloan Rollings.

VIEW ALL

# Happy 2018 $\pi$ Day—Boonies, burbs and boutiques of $\pi$

Wed 14-03-2018

Celebrate $\pi$ Day (March 14th) and go to brand new places. Together with Jake Lever, this year we shrink the world and play with road maps.

Streets are seamlessly streets from across the world. Finally, a halva shop on the same block!

A great 10 km run loop between Istanbul, Copenhagen, San Francisco and Dublin. Stop off for halva, smørrebrød, espresso and a Guinness on the way. (details)

Intriguing and personal patterns of urban development for each city appear in the Boonies, Burbs and Boutiques series.

In the Boonies, Burbs and Boutiques of $\pi$ we draw progressively denser patches using the digit sequence 159 to inform density. (details)

No color—just lines. Lines from Marrakesh, Prague, Istanbul, Nice and other destinations for the mind and the heart.

Roads from cities rearranged according to the digits of $\pi$. (details)

The art is featured in the Pi City on the Scientific American SA Visual blog.

Check out art from previous years: 2013 $\pi$ Day and 2014 $\pi$ Day, 2015 $\pi$ Day, 2016 $\pi$ Day and 2017 $\pi$ Day.

# Machine learning: supervised methods (SVM & kNN)

Thu 18-01-2018
Supervised learning algorithms extract general principles from observed examples guided by a specific prediction objective.

We examine two very common supervised machine learning methods: linear support vector machines (SVM) and k-nearest neighbors (kNN).

SVM is often less computationally demanding than kNN and is easier to interpret, but it can identify only a limited set of patterns. On the other hand, kNN can find very complex patterns, but its output is more challenging to interpret.

Nature Methods Points of Significance column: Machine learning: supervised methods (SVM & kNN). (read)

We illustrate SVM using a data set in which points fall into two categories, which are separated in SVM by a straight line "margin". SVM can be tuned using a parameter that influences the width and location of the margin, permitting points to fall within the margin or on the wrong side of the margin. We then show how kNN relaxes explicit boundary definitions, such as the straight line in SVM, and how kNN too can be tuned to create more robust classification.

Bzdok, D., Krzywinski, M. & Altman, N. (2018) Points of Significance: Machine learning: a primer. Nature Methods 15:5–6.

Bzdok, D., Krzywinski, M. & Altman, N. (2017) Points of Significance: Machine learning: a primer. Nature Methods 14:1119–1120.

# Human Versus Machine

Tue 16-01-2018
Balancing subjective design with objective optimization.

In a Nature graphics blog article, I present my process behind designing the stark black-and-white Nature 10 cover.

Nature 10, 18 December 2017

# Machine learning: a primer

Thu 18-01-2018
Machine learning extracts patterns from data without explicit instructions.

In this primer, we focus on essential ML principles— a modeling strategy to let the data speak for themselves, to the extent possible.

The benefits of ML arise from its use of a large number of tuning parameters or weights, which control the algorithm’s complexity and are estimated from the data using numerical optimization. Often ML algorithms are motivated by heuristics such as models of interacting neurons or natural evolution—even if the underlying mechanism of the biological system being studied is substantially different. The utility of ML algorithms is typically assessed empirically by how well extracted patterns generalize to new observations.

Nature Methods Points of Significance column: Machine learning: a primer. (read)

We present a data scenario in which we fit to a model with 5 predictors using polynomials and show what to expect from ML when noise and sample size vary. We also demonstrate the consequences of excluding an important predictor or including a spurious one.

Bzdok, D., Krzywinski, M. & Altman, N. (2017) Points of Significance: Machine learning: a primer. Nature Methods 14:1119–1120.

format: plain


text:
# Tag Info

5

If you want to know what Greeks the market assigns to an option, i.e. the market implied Greeks, then you would use the implied volatility. And that is what traders like to look at.

4

Trinomial trees give incomplete markets so there is a range of possible risk neutral prices. So you have to find the possible probabilities that make the tree risk-neutral and see what prices you get. You have the correct expressions. Now just have to parametrize the set of solutions. It is one-dimensional and all the probabilities are positive so you need ...

3

First, we have $P(t)+S(t)=C(t)+B(t,T)\cdot K$, Then, $\frac{\partial P(t)}{\partial S(t)} + \frac{\partial S(t)}{\partial S(t)} = \Delta^{\text{put}}_{t}+1$ and $\frac{\partial C(t)}{\partial S(t)} + \frac{\partial [B(t,T)\cdot K]}{\partial S(t)} = \Delta^{\text{call}}_{t}+0$. Finaly, $\Delta^{\text{call}}_{t}-\Delta^{\text{put}}_{t}=1$. This relationship ...

3

Using the answer from: Chris Taylor, on math stackexchange (link): Let the price of an option at strike $K$ be given by $V(K)$. To say that the price is convex in the strike means that $$V(K-\delta) + V(K+\delta) > 2 V(K)$$ for all $K>0$ and $\delta>0$. Let's assume that the opposite is true, i.e. that there exist tradeable option contracts ...

3

For the case where $\sum_{i=1}^n \lambda_i =1$, you need only note that the payoff \begin{align*} (x-K)^+ \end{align*} is a convex function in $x$. That is, \begin{align*} \Big(\sum_{i=1}^n \lambda_i S_i -K\Big)^+ \le \sum_{i=1}^n\lambda_i(S_i-K)^+. \end{align*} Then \begin{align*} e^{-rT}E\left(\Big(\sum_{i=1}^n \lambda_i S_i -K\Big)^+\right) \le ...

3

For the US market nearly all options on securities are american whereas the options on indexes are european. What you can do is to use a database such as OptionMetrics which adjusts the stock american options to european options by taking into account the early exercise premium.

3

you just add in any auxiliary variables accumulated along the path that determine the pay-off to the regression variables. So path-dependence is not a problem. If you have previous decisions, you may need to do different regressions based on their possible values or make them into a continuous variables that can be used for regression.

3

Options are in zero net supply (like futures and other derivatives), so for evry long there is a short and for every short there is a long. The open interest is the sum of the longs which also equals the sum of the short positions.

2

You should not use the Feller condition as a constraint. In many cases its violation will be required for a good fit to the market data.

2

You can guesstimate by vega weighted implied vol. This is why: Say that you have a portfolio of options with prices $P_j$. Each one of them has a different pricing function $f_j$ (as function of vol) and a different implied vol $\sigma_j$. For each option $f_j(\sigma_j)=P_j$. Now you put them together in a single product. If the implied vol of the product ...

2

The easiest way to think of this is as follows: Settlement Price - Price at which the exchange margins all accounts for those options. Closing Price - Mid/Bid/Ask of Active Market at the exchanges last trade time. E.g. for TY Contracts this is at 5pm EST vs. a Settle Time of 3pm EST. Last Trade Price - Not all options trade every day. This is the price ...

1

For question a). From the assumptions, in particular, that $R=0$, \begin{align*} \pi_l + \pi_m + \pi_u &=1\\ \frac{1}{2}\pi_l + \pi_m + 2\pi_u&=1. \end{align*} Set $\pi_m=x$, and solve for $\pi_l$ and $\pi_u$, \begin{align*} \pi_l &= \frac{2}{3}(1-x)\\ \pi_m &= x\\ \pi_u &= \frac{1}{3}(1-x), \end{align*} where $0<x<1$. The option ...

1

The expected value of the option at maturity is simply $$\mathbb{E}[(S_T-K)^+]$$ Note that this is under the real world measure. In a B-S framework this value is given by $$e^{rT}C(\alpha;S_0, K, \sigma, T)$$ Where $C(r; S_0, K, \sigma, T)$ is the B-S call option price. Hence the expected growth rate (using a simple return) is \frac{e^{rT}C(\alpha;S_0, ...

1

OP is absolutely right in his approach and this is the underlying idea behind risk neutral valuation or even BS model. If Black-Scholes model assumptions hold, then a derivative payoff can always be replicated in such a way it would never provide return more than risk free interest rate, otherwise it will lead to arbitrage opportunities. But assumption never ...

1

it is not a "newbie question". actually it is very deep question, especially if you are trying to trade options in some way. all Greeks are about change in premium of the option. Premium consists of two components: time value + intrinsic. Greeks cannot tell you anything about this decomposition, they deal only with total sum (i.e. with overall premium). So ...

1

Note that, for $K_1 < K < K_2$, \begin{align*} -(K_2-K_1) \le (S_T-K_2)^+ - (S_T-K_1)^+ \le 0. \end{align*} Taking the conditional expectation with respect to information set $\mathcal{F}_t$, \begin{align*} -(K_2-K_1)B_t(T) \le C(T, K_2, S, t) - C(T, K_1, S, t) \le 0. \end{align*} That is, \begin{align*} -B_t(T) \le \frac{C(T, K_2, S, t) - C(T, K_1, ...

Only top voted, non community-wiki answers of a minimum length are eligible