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# Mathjax Editor

CiteScore values are based on citation counts in a given year (e. Normally, the MathJax filter should be at the top of the list of filters. MathJax is a modular javascript framework for including mathematics in web pages. They wanted a tool to both write and read math without resorting to ugly flat text or more cumbersome. A generator automatically make canonical link for hexo. Send an email containing math symbols and equations! (Beta) Use this page to easily create math that can be sent in an email. Download notepadqq-1. Tags Mathjax. You can watch the progress in the lower left corner—it loads most reliably if you resist the temptation to click on something before it's done. MathFlow components are widely used in education, publishing, and enterprise solutions, as well as commercial products. 3, it was called 'eqe' and was written with Perl and GTK2. Extend GitBook with. We present a novel image editing system that generates images as the user provides free-form mask, sketch and color as an input. I thought it still worked for searches too, as long as it's something $\\ce{H2SO4}$ or $\\ce{K}_i$ - certainly does on my brow. TeX support. If the Office built-in equations don’t meet your needs, you can edit, change the existing equation, or write your own equation from scratch. Other SEs can format mathematical formulas in a way called mathjax. Net does not support the DOM. Put the following in your HTML page. THIS IS A BIG PAGE. MathJax is a full fledged open source JavaScript display engine for mathematics and works in all browsers. MathQuill was born of a need to communicate math. Net, ClearScript or similar libs. This plugin has the browser pull MathJax from the official content delivery network and have it render the content of the inline or block MathJax macros into beautiful equations. This allows the system to respond to the user's sketch and color input, using it as a guideline. That's all! FarBox supports Markdown, Code-Highlight and Mathjax. It can take input in various formats, like TeX and MathML, and can…. Unfortunately these libs don't support complete JS. It is tile based, and originally it was just a top-down view on a grid of tiles (or empty spaces). It’s hard easy to make bold or italic text. Equations generated in MathML or LaTeX format by any 3rd party equation editor can be used in MathJax enabled web pages. Create mathematical notation with a visual editor (WYSIWYG); WIRIS plugin for CKEditor enhances your text editor with new icons to edit math equations and chemical formulas with MathType. MathJax is a modular javascript framework for including mathematics in web pages. Office has equations that you can readily insert into your documents. That's all!. As it is a pure a JavaScript library, getting it to work within Hugo is fairly straightforward, but does have some oddities that will be discussed here. Ensure MathJax is loaded in your application. To publish your post, click Publish. Today we’re going to build an amazing Markdown editor using Visual Studio Code and Pandoc. Markdown Editor Pro is a responsive, easy-to-use Markdown editor for Mac. Click where you want to put the equation. Creating mathematical formulas using TeX. Haroopad is a markdown enabled document processor for creating web-friendly documents. LyX is a document processor that encourages an approach to writing based on the structure of your documents and not simply their appearance (). in Open Office or Office 365. With version 2. This text you see here is actually written in Markdown!. TL;DR: Choose Mathjax. Creating Markdown Books. Office has equations that you can readily insert into your documents. The main idea of Markdown is to use a simple plain text markup. Create mathematical notation with a visual editor (WYSIWYG); WIRIS plugin for CKEditor enhances your text editor with new icons to edit math equations and chemical formulas with MathType. The following configuration options are available: config. The creators, @laughinghan and @jneen, used LaTeX for projects together, but struggled to collaborate online once they were apart. There are now a gazillion others and many text editors have plugins (e. Enter full screen. Normally, the MathJax filter should be at the top of the list of filters. A math-blogger knows how important is the backlash for. However, text between pairs of dollar signs, or pairs of double dollar signs is interpreted by MathJax as inline or display math (respectively). The visitor's LaTeX, entered or copied into the editing window below, will be quickly rendered by up to three renderers (in different ways). If you click the save button, your code will be saved, and you get an URL you can share with others. Quickly open a preview of any markdown with ctrl-shift-m. The idea is you create your math on this page (it usess javascript) then get the system to create images of that math. AsciidocFX is also a winner of Duke's Choice Award 2015. The Manage add-ons screen loads. This is a svg with fonts, which can also be copy pasted (right click). As the requirements for a fancy, typographically correct text does not seem to be balanced with the support of available editor tools. Here are the best LaTex editors for Linux and other systems. To learn how this works, I suggest choosing an example from the the "LaTeX Examples" drop-down list at the lower left. Personal Notes. , Atom, Sublime) For MathJax docs have a MathJax in Use page which is primarily for historic purposes. Common Issues Be sure to include at the top of your HTML file, as otherwise your browser will render in " quirks mode " which can cause KaTeX to sometimes render incorrectly. Features & Benefits | Full Feature List. Other SEs can format mathematical formulas in a way called mathjax. AsciiMath is an easy-to-write markup language for mathematics. It has many features and menus that help the equation-entry and allow their posting and backup. Contribute to ianlucas/mathjax-editor development by creating an account on GitHub. MIT License. Create mathematical notation with a visual editor (WYSIWYG); WIRIS plugin for CKEditor enhances your text editor with new icons to edit math equations and chemical formulas with MathType. As it is a pure a JavaScript library, getting it to work within Hugo is fairly straightforward, but does have some oddities that will be discussed here. AsciidocFX - Duke’s Choice Award 2015 winner. There are now a gazillion others and many text editors have plugins (e. Fractions and binomial coefficients are common mathematical elements with similar characteristics - one number goes on top of another. At GitHub, we’re building the text editor we’ve always wanted: hackable to the core, but approachable on the first day without ever touching a config file. It now works with LaTeX, AsciiMath, MathML and HTML syntaxes. FarBox makes everything simple, open Editor then write, drag images to insert without uploading, synced automatically. Equations written in PB LaTeX are still compatible with MathJax and should continue to display. AsciidocFX is also a winner of Duke’s Choice Award 2015. The rendering process is processed by MathJax. As an example, consider this pdf file. Strike is the next generation of text editing for Mac and iOS (available separately). Visual Math Editor New Version 2. 2 from openSUSE Oss repository. Most of these markdown editor software support Markdown Extra and MultiMarkdown to help you format a document according to your choice. Supports revisioning of assets. Contrary to the existing methods, our system wholly utilizes free-form user input with color and shape. You can write, edit, or delete posts and drafts at any time. This popular article was updated in 2017, covering the newest Markdown editors for Windows and reviewing how some older ones have fared over time. HTML LaTeX 公式编辑器可以生成图形公式 (gif, png, swf, pdf, emf). up vote 0 down vote favorite. Visit Stack Exchange. Run the update script which will automatically create the necessary database tables that this extension needs. will appear as their untransformed TeX source. Download the latest version here. When disabled, equations etc. Alternatively, you can extract the odf file (which is actually a zip archive) and open an xml file called content. You can put a index. 0, it has gained a more pronounceable name, and a Ruby + Qt4 implementation. StackEdit is a full-featured Markdown editor based on PageDown, the Markdown library used by Stack Overflow and the other Stack Exchange sites. , Atom, Sublime) For MathJax docs have a MathJax in Use page which is primarily for historic purposes. THIS IS A BIG PAGE. doc files if Word crashed? Vacuum of Space Question A starship is travelling at 0. It is tile based, and originally it was just a top-down view on a grid of tiles (or empty spaces). Download MathJax for free. In order to get started you have two options: Use MathJax to render your formulas. This is a small angular module to allow live editing of math using MathJax in an AngularJS app. A Mathematics equation editor on top of MathJax. Making statements based on opinion; back them up with references or personal experience. I have written a user script that patches the editing code to resolve these issues by handling the new features more appropriately during editing, and by adding new. I have a custom dropdown in the Froala editor, and I am doing a time consuming task where I need to show a spinner on the button while it is doing it's stuff. You can use any of {MathML, LaTeX, ASCIIMathML} markup for input. But after I start the server on my Android, and try to connect to it from my editor, it time outs: As you can see, it finds the match, and then tries to join, but it can't. MathJax widget - undo change done through a dialog: Bug closed Normal General #10843: MathJax widget tests: Piotr Jasiun: Bug closed. We also have a more detailed description of features. MathJax generates high-quality output on all browsers & platforms - even legacy browsers such as IE 6 (if you have to). Provide details and share your research! But avoid … Asking for help, clarification, or responding to other answers. x add-ons inside Anki ended on Feb 1 2020. Jump to the alphabetical list of commands. Development and bug tracking happens on github (alternate git repository). Remarkable App For Linux. Multi-platform (Windows, Mac, Linux) Creating Asciidoc Books. 0, it has gained a more pronounceable name, and a Ruby + Qt4 implementation. MIT License. Click Try free to begin a new trial or Buy now to purchase a license for LaTeX Math. Mathpix Ocr Mathpix Ocr. Keep your stack aligned and integrate your most used tools & apps with your Ghost site: automation, analytics, marketing, support and much more! 👉. How do I automatically answer y in bash script? Why is "Captain Marvel" translated as male in Portugal? How to politely respond to gener. AsciiMath is an easy-to-write markup language for mathematics. 2015) to documents published in three previous calendar years (e. Accessing Higher Ground 2019, Westminster, 21 November 2019. This plugin has the browser pull MathJax from the official content delivery network and have it render the content of the inline or block MathJax macros into beautiful equations. They wanted a tool to both write and read math without resorting. Just for you Personal Notes. Markdown is a lightweight markup language based on the formatting conventions that people naturally use in email. To open the editor view, click an existing post or click New post. Use MathJax accessibility extension. Try typing above! Usage. Thanks for contributing an answer to Mathematica Stack Exchange! Please be sure to answer the question. Type and handwrite math notation in CKEditor. A generator automatically make canonical link for hexo. See how it works on Vimeo. A math-blogger knows how important is the backlash for. "MathML is not something that we want at this time," said Chrome programmer Ojan Vafai in a. No installation, real-time collaboration, version control, hundreds of LaTeX templates, and more. MathJax for Web Publishing. Would it be possible to edit the pdf, such as removing a logo, the page numbering and even frames, and save the result as a pdf? I would like to keep the pdf. Barring Bakoma-TeX, are there any other WYSIWYG editors for MathJax? To wit, I'm asking for a vaster WYSIWYG editor than that at Math StackExchange, with respect to Feature request - but it woudn't be a feature, it'd be a blessing - editing panel and preview side-by-side - fighting lag on large answers!. That's all!. AsciidocFX is also a winner of Duke’s Choice Award 2015. How do I automatically answer y in bash script? Why is "Captain Marvel" translated as male in Portugal? How to politely respond to gener. Use the MathJax CDN, configure inline math with dollar signs, and allow escape characters by adding the following to your header:. With version 2. Keep your stack aligned and integrate your most used tools & apps with your Ghost site: automation, analytics, marketing, support and much more! 👉. Unordered lists can be started using the toolbar or by typing * , - , or + . Click the admin dropdown and choose Atlassian Marketplace. Online Mathml Compiler, Online Mathml Editor, Online Mathml IDE, Mathml Coding Online, Practice Mathml Online, Execute Mathml Online, Compile Mathml Online, Run Mathml Online, Online Mathml Interpreter, Online MathML Editor (MathJax v2. Use the arrow keys to select an option. If you have any comments or questions about Numbas, please send an e-mail to [email protected] It is tile based, and originally it was just a top-down view on a grid of tiles (or empty spaces). MathJax home page at www. Save Your Code. mathJaxClass - sets the default class for an element that will be converted into a widget. Provide details and share your research! But avoid … Asking for help, clarification, or responding to other answers. To show or hide the equation options, click View Show equation toolbar. Most of these markdown editor software support Markdown Extra and MultiMarkdown to help you format a document according to your choice. 6 **Security Updates:** * Fixed XSS vulnerability in the HTML parser reported by [Maco Cortes](https://www. TeX support. up vote 0 down vote favorite. Ekee started as a clone of the excellent LaTeX equation editor you can find on MacOS X. MathJax home page at www. HTML LaTeX 公式编辑器可以生成图形公式 (gif, png, swf, pdf, emf). , Atom, Sublime) For MathJax docs have a MathJax in Use page which is primarily for historic purposes. It operates independently on the web or locally. Can we able to use MathJax in AMP website. Or you might write html with mathjax directly. Remarkable is the best fully featured markdown editor for Linux and Windows With MathJax support you can render beautiful, rich documents with advanced formatting. Because JAWS relies on MathJax to get MathML, JAWS is limited by the types of content it supports. HTML preprocessors can make writing HTML more powerful or convenient. In this post, I am gonna show you how to write Mathematic symbols in markdown. Haroopad is a markdown enabled document processor for creating web-friendly documents. Fractions and binomial coefficients are common mathematical elements with similar characteristics - one number goes on top of another. But after I start the server on my Android, and try to connect to it from my editor, it time outs: As you can see, it finds the match, and then tries to join, but it can't. So it is possible to add formatted text as commentary within a worksheet. Unordered lists can be started using the toolbar or by typing * , - , or + . MarkdownPad is a full-featured Markdown editor for Windows. Smart layout Whether you write, you review, you comment…. For instance, Markdown is designed to be easier to write and read for text documents and you could write a loop in Pug. It's hard easy to make bold or italic text. Based on which course view you see, your editor may have one or three rows of options. Other SEs can format mathematical formulas in a way called mathjax. 2 - right clicking an equation to manually select HTML-CSS as the renderer. mathJaxLib - sets the path to the MathJax library. Restriction: In addition to the LaTeX command the unlicensed version will copy a reminder to purchase a license to the clipboard when you select a symbol. How do I automatically answer y in bash script? Why is "Captain Marvel" translated as male in Portugal? How to politely respond to gener. Test runner. Markdown is a lightweight markup language based on the formatting conventions that people naturally use in email. MathML–MathML is a markup language designed to display equations ( (e. 9c and collides with a small rock. Just for you Personal Notes. There are some online editors available where you can click on math symbols and it. MathJax is a modular javascript framework for including mathematics in web pages. Use MathJax accessibility extension. However, text between pairs of dollar signs, or pairs of double dollar signs is interpreted by MathJax as inline or display math (respectively). 770 CiteScore measures the average citations received per document published in this title. To get the MathML code, save the document as mml and open it with any text editor. Based on which course view you see, your editor may have one or three rows of options. TL;DR: Choose Mathjax. Thanks for contributing an answer to Mathematica Stack Exchange! Please be sure to answer the question. It is NOT a MathML test. Save Your Code. up vote 0 down vote favorite. If you would prefer to view our site without using MathJax, you can disable it by: 1 - unticking the MathJax box and the page will refresh to show graphics instead of the MathML. AsciidocFX - Duke’s Choice Award 2015 winner. CiteScore: 1. Our system consist of a end-to-end trainable convolutional network. The idea is you create your math on this page (it usess javascript) then get the system to create images of that math. js in a page on your server which has plugin 'preview' enabled. Optional: To see how your post will look, click Preview. AsciidocFX is also a winner of Duke's Choice Award 2015. Others are feature requests that have not been implemented. Creating Markdown Books. MathJax is a full fledged open source JavaScript display engine for mathematics and works in all browsers. MathJax is a modular javascript framework for including mathematics in web pages. GitHub Gist: instantly share code, notes, and snippets. In order to get started you have two options: Use MathJax to render your formulas. This tutorial is designed for all those individuals who are looking for a starting point of learning MathML commands using MathJax and we cover topics suited for a beginner and an advanced user. This results in world-class support for creation of mathematical content (via a fully integrated equation editor) and structured documents like academic articles, theses, and books. However, text between pairs of dollar signs, or pairs of double dollar signs is interpreted by MathJax as inline or display math (respectively). The Mathjax filter also improves the look of buttons and preview within the equation editor that is part of the Atto text editor. Overleaf and ShareLaTeX have joined forces to bring you Overleaf v2, which combines the best of both services. Fractions and binomial coefficients are common mathematical elements with similar characteristics - one number goes on top of another. Math editor window. Mathjax can work with latex or mathml input, then sends the code to the mathjax library which renders a “mathjax element”. Ekee started as a clone of the excellent LaTeX equation editor you can find on MacOS X. Full-featured, open-source Markdown editor based on PageDown, the Markdown library used by Stack Overflow and the other Stack Exchange sites. Guppy MIT licensed Javascript WYSIWYG math editor ; VisualMathEditor - VisualMathEditor is a LaTeX, AscciMath and MathML editor developed in Javascript and HTML. Numbas is a web-based e-assessment system developed at Newcastle University. CodeMirror is an open-source project shared under an MIT license. Type and handwrite math notation in CKEditor. Site administration settings. MathJax is a javascript based platform to draw mathematical expressions and symbols in web applications. 0 version of their add-ons, so these downloads are provided as an archive, and without any support. MathFlow components are widely used in education, publishing, and enterprise solutions, as well as commercial products. Are there limitations? Mathjax can render most of the “standard” Latex. A Mathematics equation editor on top of MathJax. LyX combines the power and flexibility of TeX/LaTeX with the ease of use of a graphical interface. Tag: Mathjax. Java applet disabled. Keep your stack aligned and integrate your most used tools & apps with your Ghost site: automation, analytics, marketing, support and much more! 👉. Restriction: In addition to the LaTeX command the unlicensed version will copy a reminder to purchase a license to the clipboard when you select a symbol. This allows the system to respond to the user's sketch and color input, using it as a guideline. A Quick Introduction. MathJax works with screenreaders & provides expression zoom and interactive exploration. Document Everything! For you, your users and your team. helper canonical SEO. By the way, I am using Blender 2. Remarkable. Click the admin dropdown and choose Atlassian Marketplace. Easily create math equations and chemistry formulas using a visual editor. Simple equations can be formatted with subscripts and superscripts: E 0 =mc 2. Edit, grade, calculate. Support for downloading 2. I have a small question but did not understand how to run bpy. It may take a while to process. VisualMathEditor is a LaTeX, AscciMath and MathML editor developed in Javascript and HTML. base') 90 94. With R Markdown, you can easily create reproducible data analysis reports, presentations, dashboards, interactive applications, books, dissertations, websites, and journal articles, while enjoying the simplicity of Markdown and the great power of. 2 - right clicking an equation to manually select HTML-CSS as the renderer. You can type the Markdown syntax, use the toolbar, or use shortcuts like cmd-b or ctrl-b. Some people use texstudio or texworks. Either of the two examples above can be used when creating full HTML pages in Desire2Learn. It's a subset of tex for the internet and it. The creators, @laughinghan and @jneen, used LaTeX for projects together, but struggled to collaborate online once they were apart. MathJax for Web Publishing. 2 - right clicking an equation to manually select HTML-CSS as the renderer. Office has equations that you can readily insert into your documents. Live LaTeX rendering with AngularJS and MathJax. 2015) to documents published in three previous calendar years (e. You can write, edit, or delete posts and drafts at any time. It is an easy solution in regards to insertion using the IMG tag. Pictures of formulas, done with a formula/equation editor, e. However, text between pairs of dollar signs, or pairs of double dollar signs is interpreted by MathJax as inline or display math (respectively). up vote 0 down vote favorite. This header is needed even inside s (which don't inherit the parent document's doctype). MarkdownPad 2 is available in two versions: Free and Pro. Easily create math equations and chemistry formulas using a visual editor. LyX combines the power and flexibility of TeX/LaTeX with the ease of use of a graphical interface. Just for you Personal Notes. $\rm\TeX$ Commands available in MathJax MathJax homepage. To call MathJax in C# probably I have to use Espresso, Javascript. This is a brief tutorial on creating e-books with math in them that work. CodeMirror is an open-source project shared under an MIT license. Mathjax can work with latex or mathml input, then sends the code to the mathjax library which renders a “mathjax element”. Online WYSIWYG Mathematics Editor (Equation Editor), fast and powerful Editing features, inputting Normal text, Math symbols, and drawing Graph/Diagram in one single editor, help writing Math Document much easier. For cloning and building this project yourself, make sure to install the Extensibility Tools 2015 extension for Visual Studio which enables some features used by this project. Ekee started as a clone of the excellent LaTeX equation editor you can find on MacOS X. MathFlow components are widely used in education, publishing, and enterprise solutions, as well as commercial products. Commercial. But after I start the server on my Android, and try to connect to it from my editor, it time outs: As you can see, it finds the match, and then tries to join, but it can't. If you only had a ShareLaTeX account, we've transferred your account to Overleaf, and you can now Log In to Overleaf directly. transform(mode='ALIGN') from text editor. With R Markdown, you can easily create reproducible data analysis reports, presentations, dashboards, interactive applications, books, dissertations, websites, and journal articles, while enjoying the simplicity of Markdown and the great power of. This is the recommended approach! Get started by loading the default AsciiMath configuration:. You can watch the progress in the lower left corner—it loads most reliably if you resist the temptation to click on something before it's done. Call MathJax in C#. 2012 – 14). I decided I wanted to convert it to render the. Click 'HTML Preview' button. MathJax is a simple way of including Tex/LaTex/MathML based mathematics in HTML webpages. A Mathematics equation editor on top of MathJax. I know it need to be executed form VIEW_3D but can't figure it out how to modify. MathJax for Web Publishing. CoCalc's LaTeX editor supports. MathQuill was born of a need to communicate math. Prerequisites. To call MathJax in C# probably I have to use Espresso, Javascript. Fractions and binomial coefficients are common mathematical elements with similar characteristics - one number goes on top of another. It works perfectly when I try to connect locally from my editor to my running build. MIT License. MathJax is a javascript based platform to draw mathematical expressions and symbols in web applications. On MathJax' own web site and on various tutorials you can find instructions on the names of the. MathJax widget [FF,IE9] - clipboard totally broken: Piotr Jasiun: Bug closed Must have (possibly next milestone) Core : Pasting #10840: MathJax widget - same origin policy issue: Piotr Jasiun: Bug closed Normal. In October 2003, the second edition of MathML Version 2. Prerequisites. It makes fractions and equations and pretty much everything mathematical look good. How to reduce LED flash rate (frequency) Fizzy, soft, pop and still drinks How to make a pipeline wait for end-of-file or stop after an. I have been working on a 2d html5 canvas map editor. Net, ClearScript or similar libs. filter imagemin html-minifier uglify clean-css revisioning versioning. The script tag in the examples has to be placed in the Head section of the HTML page, however. up vote 0 down vote favorite. Markdown is a lightweight markup language, originally created by John Gruber and Aaron Swartz allowing people "to write using an easy-to-read, easy-to-write plain text format, then convert it to structurally valid XHTML (or HTML)". Multi-platform (Windows, Mac, Linux) Creating Asciidoc Books. An equation editor on top of MathJax. 770 CiteScore measures the average citations received per document published in this title. This great application made lots of thesis and term work papers of our school significantly. Support for downloading 2. Hello Friends, today I am going to tell that how to integrate MathJax in CKEditor, so that maths formula can be written in CKEditor but before that you should know what the MathJax and CKEditor is, so here is the explanation. Here are the best LaTex editors for Linux and other systems. A powerful yet beautifully simple editor that never gets in your way. Open; Save Export. The Best Markdown Editor for Windows. Type and handwrite math notation in CKEditor. NOTE: MathJax has replaced PB LaTeX on all hosted PressbooksEDU networks. Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Barring Bakoma-TeX, are there any other WYSIWYG editors for MathJax? To wit, I'm asking for a vaster WYSIWYG editor than that at Math StackExchange, with respect to Feature request - but it woudn't be a feature, it'd be a blessing - editing panel and preview side-by-side - fighting lag on large answers!. Click where you want to put the equation. Strike is a modern writing app with powerful features like Smart Markdown, tables, attachments and photos, text sorting, tags, and more. Unlike plain text editor, you can't just write a plain text using LaTeX editors. This article explains how to typeset them in LaTeX. AxMath is a powerful interactive equation editor for multiple purposes. This is an online, interactive LaTeX editor. They wanted a tool to both write and read math without resorting to ugly flat text or more cumbersome. MathJax widget - undo change done through a dialog: Bug closed Normal General #10843: MathJax widget tests: Piotr Jasiun: Bug closed. Simple integration. transform(mode=‘ALIGN’) from text editor. MathJax home page at www. MarkdownPad is a full-featured Markdown editor for Windows. The idea is you create your math on this page (it usess javascript) then get the system to create images of that math. Mathpix Ocr Mathpix Ocr. doc files if Word crashed? Vacuum of Space Question A starship is travelling at 0. MathJax is a popular JavaScript library used by web developers to provide a consistent look and feel for math content across browsers. Convert Latex Equations into Images to Embed in Documents Embed Equation in Web Page, Forum, Google Docs, Twitter Render Latex Math Equations into Plain Text ASCII Insert ASCII Eqn as comment in source-code or email Convert your email or address to image to avoid spam Supports (PNG, GIF, JPG, TIF, BMP, PNM, FIG, PS). It operates independently on the web or locally. Share knowledge, boost your team's productivity and make your users happy. It is common to write markdown with math  delimeters to convert to either tex/pdf (through something like pandoc) or to convert to html (potentially also through pandoc, but there are many many markdown-->htmlwithmathjax converters), whereupon one might render the math with mathjax. The creators, @laughinghan and @jneen, used LaTeX for projects together, but struggled to collaborate online once they were apart. About MathML and MathJax. Unlike plain text editor, you can't just write a plain text using LaTeX editors. We present a novel image editing system that generates images as the user provides free-form mask, sketch and color as an input. Office has equations that you can readily insert into your documents. Common Issues Be sure to include at the top of your HTML file, as otherwise your browser will render in " quirks mode " which can cause KaTeX to sometimes render incorrectly. Commercial. Unlike plain text editor, you can’t just write a plain text using LaTeX editors. Qute is a desktop application. Input LaTeX, Tex, AMSmath or ASCIIMath notation (Click icon to switch to ASCIIMath mode) to make formula. Support for downloading 2. Unfortunately these libs don't support complete JS. If you would prefer to view our site without using MathJax, you can disable it by: 1 - unticking the MathJax box and the page will refresh to show graphics instead of the MathML. I have a small question but did not understand how to run bpy. Until version 1. By the way, I am using Blender 2. Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. HTML LaTeX 公式编辑器可以生成图形公式 (gif, png, swf, pdf, emf). It works perfectly when I try to connect locally from my editor to my running build. A math-blogger knows how important is the backlash for. base') 90 94. 01 of the format was released in July 1999 and version 2. misc import is_package_installed 91 # jsmath_image_fonts = is_package_installed("jsmath-image-fonts") 88 92: 89 93: base = Module('flask_version. $\rm\TeX$ Commands available in MathJax MathJax homepage. CiteScore values are based on citation counts in a given year (e. It can take input in various formats, like TeX and MathML, and can produce output in various forms, such as MathML or HTML-with-CSS. Generates categories automatically by folder name. MathJax for Web Publishing. Lets you type in equations, which can be added to documents, emails, and webpages or simply exported to picture files. MathJax is a simple way of including Tex/LaTex/MathML based mathematics in HTML webpages. 0 full version from the publisher using pad file and submit from users. For instance, Markdown is designed to be easier to write and read for text documents and you could write a loop in Pug. Coming from ShareLaTeX, Overleaf v2 will be very familiar, because it's built around the ShareLaTeX editor. Unordered lists can be started using the toolbar or by typing * , - , or + `. This popular article was updated in 2017, covering the newest Markdown editors for Windows and reviewing how some older ones have fared over time. Realtime MathJax Editor. AsciidocFX is also a winner of Duke's Choice Award 2015. You can typeset the math directly with TeX or MathML or AsciiMath. Haroopad gives you same experiences in editing regardless of the platform you are working on. Write markdown text in this textarea. StackExchange MathJax editing code. To learn how this works, I suggest choosing an example from the the "LaTeX Examples" drop-down list at the lower left. Ordered lists can be started by typing. Our system consist of a end-to-end trainable convolutional network. MarkdownPad 2 is available in two versions: Free and Pro. Type and handwrite math notation in CKEditor. The Free version offers all of the features you're currently using in the original version of MarkdownPad, and includes new features like a tabbed document interface, spell check, Markdown syntax highlighting, multiple custom CSS files support, and a variety of other improvements. The rendering process is processed by MathJax. Mathcha Free powerful WYSIWYG math editor, support Normal Text editing, Math Symbols/Layouts, Diagram/Graph Drawing, can export to Latex (Math Mode only), save as Image or printing, and share your document with others. We present a novel image editing system that generates images as the user provides free-form mask, sketch and color as an input. It may take a while to process. Numbas is a web-based e-assessment system developed at Newcastle University. Click Insert Equation. The MathJax filter is enabled by default in Administration > Site administration > Plugins > Filters > Manage filters. StackEdit is a full-featured Markdown editor based on PageDown, the Markdown library used by Stack Overflow and the other Stack Exchange sites. By the way, I am using Blender 2. GitHub Gist: instantly share code, notes, and snippets. Latex Equation Numbering Without Section. CiteScore: 0. Ordered lists can be started by typing. I want to use the JavaScript lib MathJax in my software. Live LaTeX rendering with AngularJS and MathJax. Currently the only way I know to create new missions is directly editing the missions files which are text only. You can use any of {MathML, LaTeX, ASCIIMathML} markup for input. 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Guppy MIT licensed Javascript WYSIWYG math editor ; VisualMathEditor - VisualMathEditor is a LaTeX, AscciMath and MathML editor developed in Javascript and HTML. Use the arrow keys to select an option. I am looking for a WYSYWIG JavaScript editor for MathJax. See how it works on Vimeo. 0 version of their add-ons, so these downloads are provided as an archive, and without any support. We can’t wait to see what you build with it. Go ahead, play around with the editor! Be sure to check out **bold** and *italic* styling, or even [links] (https://google. Java applet disabled. There are some online editors available where you can click on math symbols and it. If you type in mathjax inside $-$ it will work. MathJax is a simple way of including Tex/LaTex/MathML based mathematics in HTML webpages. Thanks for contributing an answer to Mathematica Stack Exchange! Please be sure to answer the question. Creating Markdown Books. You can use it to create or modify equations using TeX. It is NOT a MathML test. Here, you will have to utilize LaTeX commands in order to manage the content of the. Ordered lists can be started by typing. Mathematical plugin that introduces the MathJax widget. nethttps://docs. The following test is just a test to see if your computer has a font with complex symbols. See how it works on Vimeo. Please see https://docs. You can use any of {MathML, LaTeX, ASCIIMathML} markup for input. Write markdown text in this textarea. The tyepset math is wrapped in a div and the original math is stored encoded in a data attribute for future retrieval of the editor's HTML. To show or hide the equation options, click View Show equation toolbar. MathJax widget - undo change done through a dialog: Bug closed Normal General #10843: MathJax widget tests: Piotr Jasiun: Bug closed. Enabling MathJax; Injecting MathJax There have also been feature requests for this. Provide details and share your research! But avoid … Asking for help, clarification, or responding to other answers. CiteScore: 1. 2012 – 14), divided by the number of documents in these three previous years (e. To call MathJax in C# probably I have to use Espresso, Javascript. It now works with LaTeX, AsciiMath, MathML and HTML syntaxes. It is fully featured and customizable. This is the recommended approach! Get started by loading the default AsciiMath configuration:. The main idea of Markdown is to use a simple plain text markup. Because JAWS relies on MathJax to get MathML, JAWS is limited by the types of content it supports. MathJax is a javascript based platform to draw mathematical expressions and symbols in web applications. Restriction: In addition to the LaTeX command the unlicensed version will copy a reminder to purchase a license to the clipboard when you select a symbol. Type and handwrite math notation in CKEditor. Here are the best LaTex editors for Linux and other systems. Online WYSIWYG Mathematics Editor (Equation Editor), fast and powerful Editing features, inputting Normal text, Math symbols, and drawing Graph/Diagram in one single editor, help writing Math Document much easier. Mathematical plugin that introduces the MathJax widget. I have been working on a 2d html5 canvas map editor. It's a subset of tex for the internet and it. If you only had a ShareLaTeX account, we've transferred your account to Overleaf, and you can now Log In to Overleaf directly. This popular article was updated in 2017, covering the newest Markdown editors for Windows and reviewing how some older ones have fared over time. Mathpix Ocr Mathpix Ocr. Enable automatic equation numbering and reset numbering upon pressing toolbar button. I found Papeeria very useful in the academic environment … Papeeria provides a solid and universal framework for worries-free collaborative editing of LaTeX documents… More user reviews… Jake Kirilenko Saint-Petersburg State University, Russia. You can use any of {MathML, LaTeX, ASCIIMathML} markup for input. Software piracy is theft, Using crack, password, serial numbers, registration codes, key generators, cd key, hacks is illegal and prevent future development of MathJax v. It is fully featured and customizable. Install npm install react-mathjax2 --save Usage Inline display of AsciiMath wrapped in delimiters. MathJax Example 10 Aug 2015. Some of this is old, so I'm not sure if it still works. The visitor's LaTeX, entered or copied into the editing window below, will be quickly rendered by up to three renderers (in different ways). It can take input in various formats, like TeX and MathML, and can produce output in various forms, such as MathML or HTML-with-CSS. Send an email containing math symbols and equations! (Beta) Use this page to easily create math that can be sent in an email. CKEditor 4 Changelog ===== ## CKEditor 4. Supports revisioning of assets. We also have a more detailed description of features. Document Everything! For you, your users and your team.


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# arrow_back What is affirming the consequent?

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What is affirming the consequent?

Affirming the consequent

The fallacy of deducing $P$ from $P \Rightarrow Q$ and $Q$. Also called the converse error. This is a fallacy in mathematical reasoning.

Example

The student knows that if a function is differentiable, then it is continuous. He concludes [ERROR] that the absolute value function is differentiable, since it is clearly continuous.

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# Checking $f(x_1,y_1)f(x_2,y_2)-f(x_1,y_2)f(x_2,y_1) \ge 0$

I am working in data science and I have to deal with the following problem for which I would like to find a simplification:

We call a function almost positive if $f(x_1,y_1)f(x_2,y_2)-f(x_1,y_2)f(x_2,y_1) \ge 0$ for all $0< x_1\le x_2 < \infty$ and $0 < y_1\le y_2 < \infty.$

I would like to know: Are there any sufficient and necessary criteria for a function $f$ to be almost positive?

Background: The problem is that I often have a positive smooth function $f$ which I need to check for almost positivity. Those functions $f$ are usually cumbersome expressions such that checking

$f(x_1,y_1)f(x_2,y_2)-f(x_1,y_2)f(x_2,y_1) \ge 0$ is almost impossible analytically, because one has to compare infinitely many variables which each other and unless one can simplify the expression in a clever way, checking this condition is hopeless.

I am therefore asking whether there is an equivalent criterion to the almost positivity condition which I can check in a more direct way? Ideally there would exist an "intrinsic" criterion for functions $f$ which implies this property.

If there is nothing equivalent to almost positivity, perhaps there exist rather general sufficient conditions which imply almost positivity?

• What is an example of such a function? Have you computed the local conditions? – Igor Rivin Sep 1 '18 at 22:44
• Also, can you compute some level sets, especially where the function f has value zero? Gerhard "Maybe Special Cases Can Help" Paseman, 2018.09.01. – Gerhard Paseman Sep 1 '18 at 22:49

You say your function is smooth, so letting $x_1 = x, y_1 = y, x_2 = x + \Delta x, y_2 = y+\Delta y,$ we get in the limit as the deltas go to zero, if we ignore the second order terms, then
$$\dfrac{\partial f}{\partial x} \dfrac{\partial f} {\partial x} d x d y < 0.$$ This indicates that we cannot ignore the second order terms, and when the smoke clears, we seem to get
$$f\dfrac{\partial^2 f}{\partial x \partial y} - \dfrac{\partial f}{\partial x} \dfrac{\partial f} {\partial x} \geq 0,$$ which is nonlinear and hyperbolic. Changing it to an equation may or may not be enlightening.
To follow up @igor answer, the equation can be written as: $$\dfrac{\partial^2 \ln f}{\partial x \partial y} \geq 0.$$ Moreover, the inequality is not only necessary, bu sufficient, since: $$\ln \left( \frac{f(x_2,y_2)f(x_1,y_1)}{f(x_2,y_1)f(x_1,y_2)} \right) = \int_{x_1}^{x_2} \int_{y_1}^{y_2} \dfrac{\partial^2 \ln f}{\partial x \partial y} dy \ dx.$$
• The logarithm of a positive expression $$\frac{f(x_2,y_2)f(x_1,y_1)}{f(x_2,y_1)f(x_1,y_2)}$$ may be negative, is not so? – user64494 Sep 2 '18 at 9:20


text: @The-Darkin-Blade Nice question! Let's take a look back at the original mini-question:   The triangles come from the "quadrilateral which has a circle inscribed within it," mentioned in the question, called a tangential quadrilateral: Now, if you draw lines from each corner of the quadrilateral to the center of the inscribed circle, you'll see that the quadrilateral is cut into four triangles. This isn't exactly what this question is talking about; you are right! This question is talking about a triangle with a circle inscribed in it, which is analogous:     We're going to try to connect the following concepts that we've encountered so far: The area of the triangle in terms of the side lengths (Heron's Formula) The area of the triangle in terms of the areas of the three smaller $$\textcolor{purple}{\text{purple}}, \textcolor{green}{\text{green}}, \text{ and } \textcolor{orange}{\text{yellow}}$$ triangles. The height of each small triangle happens to equal the radius of the circle. Knowing these, we can get an expression for the radius of the inscribed circle. The first step is to write the area of the triangle in two ways (here let's call $$a, b,$$ and $$c$$ the sides of the triangle, and $$r$$ the radius of the inscribed circle): But, look at that! The extremely cool thing is that the expression for the area on the left is really just $$s \times r$$! So we really have $$s \times r = \text{ Heron's formula}$$ and from here we can easily find an expression for the radius of the inscribed circle: $$r = \frac{\text{Heron's formula}}{s}$$ $$= \frac{\sqrt{(s-a)(s-b)(s-c)}}{s}$$ Now for the second part of your question! Can we use Heron's Formula for shapes other than triangles? Well, you can't apply the exact formula directly, though apparently there is a similar formula called Brahmagupta's formula, for finding the area of a cyclic quadrilateral. In fact, Heron's Formula is a special case of Brahmagupta's formula. And both Heron's Formula and Brahmagupta's Formula are derived from something called Bretschneider's formula for the area of a quadrilateral. Even more than that, a mathematician found a way to generalize Heron's Formula to pentagons and hexagons. You can read more here to find out!


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Lemma 33.10.3. Let $k$ be a field. Let $X$ be a scheme over $k$. The following are equivalent

1. $X$ is geometrically normal,

2. $X_{k'}$ is a normal scheme for every field extension $k'/k$,

3. $X_{k'}$ is a normal scheme for every finitely generated field extension $k'/k$,

4. $X_{k'}$ is a normal scheme for every finite purely inseparable field extension $k'/k$,

5. for every affine open $U \subset X$ the ring $\mathcal{O}_ X(U)$ is geometrically normal (see Algebra, Definition 10.165.2), and

6. $X_{k^{perf}}$ is a normal scheme.

Proof. Assume (1). Then for every field extension $k \subset k'$ and every point $x' \in X_{k'}$ the local ring of $X_{k'}$ at $x'$ is normal. By definition this means that $X_{k'}$ is normal. Hence (2).

It is clear that (2) implies (3) implies (4).

Assume (4) and let $U \subset X$ be an affine open subscheme. Then $U_{k'}$ is a normal scheme for any finite purely inseparable extension $k \subset k'$ (including $k = k'$). This means that $k' \otimes _ k \mathcal{O}(U)$ is a normal ring for all finite purely inseparable extensions $k \subset k'$. Hence $\mathcal{O}(U)$ is a geometrically normal $k$-algebra by definition. Hence (4) implies (5).

Assume (5). For any field extension $k \subset k'$ the base change $X_{k'}$ is gotten by gluing the spectra of the rings $\mathcal{O}_ X(U) \otimes _ k k'$ where $U$ is affine open in $X$ (see Schemes, Section 26.17). Hence $X_{k'}$ is normal. So (1) holds.

The equivalence of (5) and (6) follows from the definition of geometrically normal algebras and the equivalence (just proved) of (3) and (4). $\square$

In your comment you can use Markdown and LaTeX style mathematics (enclose it like $\pi$). A preview option is available if you wish to see how it works out (just click on the eye in the toolbar).


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Here you can download CMAT 2022 – important MAH – CET Questions PDF by Cracku. Very Important MAH – CET Questions for MAH – CET 2022 based on asked questions in previous exam papers. These questions will help your MAH – CET preparation. So kindly download the PDF for reference and do more practice.

Question 1: ‘Pythagoras’ is related to ‘Geometry’ in the same way as ‘Kepler’ is related to ‘………”

a) Optics

b) Astronomy

c) Electronics

d) Geography

Question 2: Select the option that is related to the third letter-cluster in the same way as the second letter-cluster is related to the first letter-cluster.
CLOCK : CNSIS :: WATCH : ?

a) WBWHO

b) WCXIP

c) WBVFL

d) WCVEJ

Question 3: Select the option in which the words share the same relationship as that shared by the given pair of words.
Sahara : Africa

a) Gibson : Europe

b) Sandy : America

c) Thar : Australia

d) Gobi : Asia

Question 4: Select the option that is related to the third letter-cluster in the same way as the second letter-cluster is related to the first letter-cluster.
LZ : OA :: UR : ?

a) FI

b) HB

c) FS

d) GK

Question 5: Select the option that is related to the third number in the same way as the second number is related to the first number.
88 : 308 :: 126 : ?

a) 456

b) 450

c) 379

d) 441

Take Free MAH-CET mock tests here

Question 6: ‘Human-beings’ is related to ‘Mammals’ in the same way as ‘Snake’ is related to …………

a) Mammals

b) Non-chordates

c) Reptile

d) Amphibian

Question 7: Select the option in which the words share the same relationship as that shared by the given pair of words.
Weight : Kilogram

a) Distance : Hertz

b) Resistance : Ohm

c) Time : Clock

d) Height : Length

Question 8: Select the option in which the numbers are related in the same way as are the numbers in the given set.
(13, 17, 442)

a) (18, 15, 540)

b) (11, 19, 628)

c) (17, 21, 367)

d) (15, 14, 415)

Question 9: Select the option in which the numbers are related in the same way as are the numbers in the given set.
(789, 501, 645)

a) (645, 705, 573)

b) (224, 640, 330)

c) (701, 538, 600)

d) (455, 573, 514)

Question 10: Select the option that is related to the third letter-cluster in the same way as the second letter-cluster is related to the first letter-cluster.
KRZ : HOW: : CUX : ?

a) ZRU

b) YTU

c) ZTV

d) YSU

Kepler’s laws are related to planetary motion which is used in astronomy.

$\therefore\$Kepler is related to astronomy in the same way Pythagoras is related to Geometry

Hence, the correct answer is Option B

C + 0 = C

L + 2 = N

O + 4 = S

C + 6 = I

K + 8 = S

Similarly,

W + 0 = W

A + 2 = C

T + 4 = X

C + 6 = I

H + 8 = P

$\therefore\$WATCH is related to WCXIP in the same way CLOCK is related to CNSIS

Hence, the correct answer is Option B

Sahara desert is located in Africa

Gibson and Sandy deserts are located in Australia

Thar desert is located in India

Gobi is located in Asia

$\therefore\$Gobi is related to Asia in the same way Sahara is related to Africa

Hence, the correct answer is Option D

LZ : OA

L opposite is O

Z opposite is A

Similarly,

U opposite is F

R opposite is I

$\therefore\$UR is related to FI in the same way LZ is related to OA

Hence, the correct answer is Option A

88 : 308 $\longrightarrow\$ 44 x 2 : 44 x 7

Similarly,

126 : ? $\longrightarrow\$ 63 x 2 : ?

The required number is the 7th multiple of 63 = 63 x 7 = 441

$\therefore\$126 : 441 is related in the same way 88 : 308 related

Hence, the correct answer is Option D

Mammals give live birth and produce milk for their young ones while reptiles lay eggs.

Human beings belong to Mammals whereas Snakes belong to Reptiles.

$\therefore\$Snake is related to Reptiles in the same way Human-beings is related to Mammals

Hence, the correct answer is Option C

Weight is measured in Kilogram whereas Resistance is measured in Ohm

$\therefore\$Resistance is related to Ohm in the same way Weight is related to Kilogram.

Hence, the correct answer is Option B

$\left(13^2+17^2\right)-(13-17)^2$ = 169 + 289 – 16 = 442

The logic here is the third number is the difference of sum of the squares of the first and second number and square of difference between first and second number.

Similarly,

$\left(18^2+15^2\right)-(18-15)^2$ = 324 + 225 – 9 = 540

$\therefore\$(18, 15, 540) are related in the same way as (13, 17, 442) related

Hence, the correct answer is Option A

$\left|789-501\right|=288$

$\left|501-645\right|=144$

The difference between first and second number is twice the difference between second and third number.

Similarly,

$\left|455-573\right|=118$

$\left|573-514\right|=59$

$\therefore\$(455, 573, 514) are related in the same way as (789, 501, 645)

Hence, the correct answer is Option D

K – 3 = H

R – 3 = O

Z – 3 = W

Similarly,

C – 3 = Z

U – 3 = R

X – 3 = U

$\therefore\$ZRU is related to CUX in the same way HOW is related to KRZ

Hence, the correct answer is Option A


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# Aral Vitam DE 46

Aral Vitam DE 46 is a zinc-free HLP-D hydraulic oil with very good wear protection

#### Applications:

The use of Aral Vitam DE 46 gives an increased service life and optimizes the functional safety of the hydraulics. This zinc free HLP-D type hydraulic fluid with detergent/ dispersant properties has the following advantages over conventional hydraulic oils: Through the continuous cleansing of impurities, deposits and residue in the system are avoided, which could cause a malfunction of control elements. Through this oil’s absorption of humidity, corrosioning is avoided. It also decreases wear in areas with boundary lubrication and its polar additives suppress “stick-slip” movements.

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text:
## Approximation of classes of functions defined by a generalized $$k$$-modulus of smoothness.(English)Zbl 0932.41006

The authors’ aim is to characterize the best approximation by algebraic polynomials in the space $$L_{p,\alpha,\beta}, 1 \leq p < \infty$$, equipped with the norm $$\|f \|_{p,\alpha,\beta}:=(\int_{-1}^1 (1-x)^{\alpha}(1+x)^{\beta}|f(x)|^pdx)^{1/p}$$ in terms of a generalized $$k$$-th order modulus of smoothness, based on an asymmetric translation operator. The first order modulus of this type was defined in a recent paper of M. K. Potapov [On the coincidence of the classes of functions defined by the operator of generalized translation or by the order of the best approximation by algebraic polynomials, Mat. Zametki, to appear (in Russian)], where a corresponding characterization theorem has been proved. In the present paper analogous results are obtained for the generalized modulus of smoothness of order $$k$$.
Reviewer: P.Petrov (Sofia)

### MSC:

 41A10 Approximation by polynomials 33C45 Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) 41A25 Rate of convergence, degree of approximation
Full Text:


text:
# Calculating R2R^2 in mixed models using Nakagawa & Schielzeth’s (2013) R2glmm method

I have been reading about calculating $R^2$ values in mixed models and after reading the R-sig FAQ, other posts on this forum (I would link a few but I don’t have enough reputation) and several other references I understand that using $R^2$ values in the context of mixed models is complicated.

However, I have recently came across these two papers below. While these methods do look promising (to me) I am not a statistician, and as such I was wondering if anyone else would have any insight about the methods they propose and how they would compare to other methods that have been proposed.

Nakagawa, Shinichi, and Holger Schielzeth. “A general and simple method for obtaining R2 from generalized linear mixed‐effects models.” Methods in Ecology and Evolution 4.2 (2013): 133-142.

Johnson, Paul CD. “Extension of Nakagawa & Schielzeth’s R2GLMM to random slopes models.” Methods in Ecology and Evolution (2014).

The is method can also be implemented using the r.squaredGLMM function in the MuMIn package which gives the following description of the method.

For mixed-effects models, $R^2$ can be categorized into two types. Marginal $R^2$ represents the variance explained by fixed factors, and is defined as:

Conditional $R^2$ is interpreted as variance explained by both fixed and random factors (i.e. the entire model), and is calculated according to the equation:

where $σ_f^2$ is the variance of the fixed effect components, and $\sum(σ_l^2)$ is the sum of all variance components (group, individual, etc.), $σ_l^2$ is the variance due to additive dispersion and $σ_d^2$ is the distribution-specific variance.

In my analysis I am looking at longitudinal data and I am primarily interested in variance explained by the fixed effects in the model

library(MuMIn)
library(lme4)

fm1 <- lmer(zglobcog ~ age_c + gender_R2 + ibphdtdep + iyeareducc + apoegeno + age_c*apoegeno + (age_c | pathid), data = dat, REML = FALSE, control = lmerControl(optimizer = "Nelder_Mead"))

# Jarret Byrnes (correlation between the fitted and the observed values)
r2.corr.mer <- function(m) {
lmfit <-  lm(model.response(model.frame(m)) ~ fitted(m))
summary(lmfit)\$r.squared
}

r2.corr.mer(fm1)
[1] 0.8857005

# Xu 2003
1-var(residuals(fm1))/(var(model.response(model.frame(fm1))))
[1] 0.8783479

# Nakagawa & Schielzeth's (2013)
r.squaredGLMM(fm1)
R2m       R2c
0.1778225 0.8099395

I am answering by pasting Douglas Bates’s reply in the R-Sig-ME mailing list, on 17 Dec 2014 on the question of how to calculate an $R^2$ statistic for generalized linear mixed models, which I believe is required reading for anyone interested in such a thing. Bates is the original author of the lme4package for R and co-author of nlme, as well as co-author of a well-known book on mixed models, and CV will benefit from having the text in an answer, rather than just a link to it.

I must admit to getting a little twitchy when people speak of the “R2 for
GLMMs”. R2 for a linear model is well-defined and has many desirable
properties. For other models one can define different quantities that
reflect some but not all of these properties. But this is not calculating
an R2 in the sense of obtaining a number having all the properties that the
R2 for linear models does. Usually there are several different ways that
such a quantity could be defined. Especially for GLMs and GLMMs before you
can define “proportion of response variance explained” you first need to
define what you mean by “response variance”. The whole point of GLMs and
GLMMs is that a simple sum of squares of deviations does not meaningfully
reflect the variability in the response because the variance of an
individual response depends on its mean.

Confusion about what constitutes R2 or degrees of freedom of any of the
other quantities associated with linear models as applied to other models
comes from confusing the formula with the concept. Although formulas are
derived from models the derivation often involves quite sophisticated
mathematics. To avoid a potentially confusing derivation and just “cut to
the chase” it is easier to present the formulas. But the formula is not
the concept. Generalizing a formula is not equivalent to generalizing the
concept. And those formulas are almost never used in practice, especially
for generalized linear models, analysis of variance and random effects. I
have a “meta-theorem” that the only quantity actually calculated according
to the formulas given in introductory texts is the sample mean.

It may seem that I am being a grumpy old man about this, and perhaps I am,
but the danger is that people expect an “R2-like” quantity to have all the
properties of an R2 for linear models. It can’t. There is no way to
generalize all the properties to a much more complicated model like a GLMM.

I was once on the committee reviewing a thesis proposal for Ph.D.
candidacy. The proposal was to examine I think 9 different formulas that
could be considered ways of computing an R2 for a nonlinear regression
model to decide which one was “best”. Of course, this would be done
through a simulation study with only a couple of different models and only
a few different sets of parameter values for each. My suggestion that this
was an entirely meaningless exercise was not greeted warmly.


text:
# Logic trees FAQ¶

Logic trees are documented in the OpenQuake manual (section “Defining Logic Trees”). Here we will discuss some example for users already familiar with the concept and we will answer the following frequently asked questions:

• what is the meaning of the branch_path column in the “Realizations” output?
• given a realization, how do I extract the corresponding source model, modifications parameters and GMPEs?

As a concrete example we will consider the demo LogicTreeCase2ClassicalPSHA in the engine distribution; the source model logic tree file has the following structure branchset -> branches:

bs1[sourceModel] ->      b11[source_model.xml]
bs2[abGRAbsolute] ->     b21[4.6 1.1], b22[4.5 1.0], b23[4.4 0.9]
bs3[abGRAbsolute] ->     b31[3.3 1.0], b32[3.2 0.9], b33[3.1 0.8]
bs4[maxMagGRAbsolute] -> b41[7.0], b42[7.3], b43[7.6]
bs5[maxMagGRAbsolute] -> b51[7.5], b52[7.8], b53[8.0]

while the gsim logic tree file has the following structure:

bs1[Active Shallow Crust] ->     b11[BooreAtkinson2008], b12[ChiouYoungs2008]
bs2[Stable Continental Crust] -> b21[ToroEtAl2002], b22[Campbell2003]

Since the demo is using full enumeration there are 3**4 * 2**2 = 324 realizations in total.

After running the calculations you will see an output called “Realizations”. If you export it, you will get a CSV file with the following structure:

#,,"generated_by='OpenQuake engine 3.13..."
rlz_id,branch_path,weight
0,AAAAA~AA,3.0740926e-03
1,AAAAA~AB,3.0740926e-03
...
322,ACCCC~BA,3.1111853e-03
323,ACCCC~BB,3.1111853e-03

For each realization there is a branch_path string which is split in two parts separated by a tilde. The left part describe the branches of the source model logic tree and the right part the branches of the gmpe logic tree. In past versions of the engine the branch path was using directly the branch IDs, so it was easy to assess the correspondence between each realization and the associated branches.

Unfortunately, we had to remove that direct correspondence in engine 3.11. The reason is that engine is used in situations where the logic tree has billions of billions of billions … of billions potential realizations, with hundreds of branchsets. If you have 100 branchsets and the branch IDs are 10 characters long, each branch path will be 1000 characters long and impossible to display. The compact representation requires only 1-character per branchset instead. It is possible to pass from the compact representation to the original branch IDs by using the command oq show branches:

$oq show branches | branch_id | abbrev | uvalue | |-----------+--------+---------------------| | b11 | A0 | source_model.xml | | b21 | A1 | 4.60000 1.10000 | | b22 | B1 | 4.50000 1.00000 | | b23 | C1 | 4.40000 0.90000 | | b31 | A2 | 3.30000 1.00000 | | b32 | B2 | 3.20000 0.90000 | | b33 | C2 | 3.10000 0.80000 | | b41 | A3 | 7.00000 | | b42 | B3 | 7.30000 | | b43 | C3 | 7.60000 | | b51 | A4 | 7.50000 | | b52 | B4 | 7.80000 | | b53 | C4 | 8.00000 | | b11 | A0 | [BooreAtkinson2008] | | b12 | B0 | [ChiouYoungs2008] | | b21 | A1 | [ToroEtAl2002] | | b22 | B1 | [Campbell2003] |  The first character of the abbrev specifies the branch number (“A” means the first branch, “B” the second, etc) while the other characters are the branch set number starting from zero. The format works up to 64 branches per branchset, and the characters used in the abbreviations are in the following order: ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+-  For instance the realization #322 has the following branch path in compact form: ACCCC~BA  which will expand to the following abbreviations (considering that fist “A” corresponds to the branchset 0, the first “C” to branchset 1, the second “C” to branchset 2, the third “C” to branchset 3, the fourth “C” to branchset 4, “B” to branchset 0 of the GMPE logic tree and the last “A” to branchset 1 of the GMPE logic tree): A0 C1 C2 C3 C4 ~ B0 A1  and then, using the correspondence table abbrev->uvalue, to: "source_model.xml" "4.4 0.9" "3.1 0.8" "7.6" "8.0" ~ "[ChiouYoungs2008]" "[ToroEtAl2002]"  For convenience, the engine provides a simple command to display the content of a realization, given the realization number, thus answering the FAQ: $ oq show rlz:322
| uncertainty_type         | uvalue            |
|--------------------------+-------------------|
| sourceModel              | source_model.xml  |
| abGRAbsolute             | 4.40000 0.90000   |
| abGRAbsolute             | 3.10000 0.80000   |
| maxMagGRAbsolute         | 7.60000           |
| maxMagGRAbsolute         | 8.00000           |
| Active Shallow Crust     | [ChiouYoungs2008] |
| Stable Continental Crust | [ToroEtAl2002]    |

NB: the commands oq show branches and oq show rlz are new in engine 3.13: they may change in the future and the string representation of the branch path may change too. It has already changed twice in engine 3.11 and engine 3.12. You cannot rely on it across engine versions.


text:
# Graph minor vs topological graph minor

I still have problem with the notion of a minor versus a topological minor.

1. Prove that $$K_7$$ has $$K_4$$ as a topological minor.

2. Let $$v_1,...,v_6$$ a labeling of $$K_6$$ and let $$G$$ be the graph obtained from $$K_6$$ by removing the edges $$\{v_1v_2,v_1v_3,v_4v_5, v_4v_6\}$$. Prove that $$G$$ contain $$K_5$$ as a minor but not as a topological minor.

1. Be deleting $$3$$ vertices of $$K_7$$ we obtain $$K_4$$ and thus $$K_4$$ is a topological minor of $$K_7$$.

2. By contracting the edge $$v_1v_4$$ we obtain $$K_5$$. Therefore $$K_5$$ is a minor of $$G$$. Since the vertices $$v_2$$, $$v_3$$, $$v_4$$ and $$v_5$$ each have degree $$4$$ and vertices $$v_1$$ and $$v_4$$ each have degree $$3$$, it's impossible for $$K_5$$ to be a topological minor of $$G$$ because if it were, at least five vertices need to have degree $$4$$.

Are my arguments correct?

• Are my arguments corrects ?
– idm
Jun 8, 2015 at 12:36

We say that a graph $$H$$ is a minor of $$G$$ (sometimes denoted $$H \prec G$$) if you can form $$H$$ by deleting vertices, deleting edges, or contracting edges in $$G$$.
We say that $$H$$ is a topological minor of $$G$$ if there exists a subgraph of $$G$$ (the result of deleting edges and vertices in $$G$$) that is isomorphic to a subdivision of $$H$$.


text:
1. Feb 26, 2015

### Bleach Creatr

I am an aspiring Astrophysicist/Astronomer from Omaha, NE and I am competing in the National Science Olympiad in May. I would like to say I have relatively basic-mid level knowledge of the field in for a junior in high school, however I am unaware of the type of questions that will be asked (I am aware of the subject material, but not what the questions will ask for, such as spectrography, solar masses, etc.). I have little resources to perform genuine research as I really rather prefer to do some research by the book, and I cannot seem to find subject material on YouTube easily.

I am asking if there are any significantly strong books OR articles that can help me study for the test. I do have a price range of around $50-$60, which really puts a strain on me seeing as how I would like an updated textbook.

For those of you who are not aware of the Science Olympiad, it is a national competition for high school students with interests in the sciences and technologies. Usually these tournaments have a wide variety of subjects, ranging from Bridge Building to Anatomy. My first event that I am not taking too terribly seriously is this Saturday at my local zoo, and while I do not expect to place top 3, I hope it will give me an idea of what to expect for my main competition in May.

If it helps at all, the subjects for this years Astronomy section is Stellar Evolution and Planet Formation

Thanks and cheers!

2. Feb 26, 2015


text:
Lin, Genghong

Compute Distance To:
 Author ID: lin.genghong Published as: Lin, Genghong
 Documents Indexed: 28 Publications since 1994 Co-Authors: 8 Co-Authors with 16 Joint Publications 200 Co-Co-Authors
all top 5

Co-Authors

 2 single-authored 9 Zhou, Zhan 8 Yu, Jian-She 3 Hui, Yuanxian 3 Sun, Qiwen 2 Feeny, Brian F. 2 Jiao, Feng 1 Bricmont, Jean 1 Geubelle, Philippe H. 1 Ji, Juping 1 Kupiainen, Antti 1 Long, Xiao-han 1 Mei, Peng 1 Moore, Ian D. 1 Sottos, Nancy R. 1 Wang, Lin
all top 5

Serials

 3 Discrete and Continuous Dynamical Systems. Series B 2 International Journal for Numerical and Analytical Methods in Geomechanics 2 Nonlinear Dynamics 1 Communications on Pure and Applied Mathematics 1 International Journal of Solids and Structures 1 Mathematical Methods in the Applied Sciences 1 Journal of Differential Equations 1 Theoretical Computer Science 1 Physica D 1 Computational Mechanics 1 Applied Mathematics Letters 1 The Journal of Geometric Analysis 1 SIAM Journal on Mathematical Analysis 1 Journal of Dynamics and Differential Equations 1 Electronic Journal of Differential Equations (EJDE) 1 Abstract and Applied Analysis 1 Far East Journal of Theoretical Statistics 1 Advances and Applications in Statistics 1 Communications on Pure and Applied Analysis 1 Advances in Difference Equations 1 Mathematical Biosciences and Engineering 1 Journal of Biological Dynamics 1 Discrete and Continuous Dynamical Systems. Series S 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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Fields

 10 Difference and functional equations (39-XX) 7 Ordinary differential equations (34-XX) 6 Partial differential equations (35-XX) 6 Biology and other natural sciences (92-XX) 5 Mechanics of deformable solids (74-XX) 2 Real functions (26-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Statistics (62-XX) 2 Mechanics of particles and systems (70-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX)

Citations contained in zbMATH Open

22 Publications have been cited 195 times in 51 Documents Cited by Year
Renormalization group and asymptotics of solutions of nonlinear parabolic equations. Zbl 0806.35067
Bricmont, J.; Kupiainen, A.; Lin, G.
1994
Homoclinic solutions of discrete $$\phi$$-Laplacian equations with mixed nonlinearities. Zbl 1396.39008
Lin, Genghong; Zhou, Zhan
2018
Ground state solutions of discrete asymptotically linear Schrödinger equations with bounded and non-periodic potentials. Zbl 1439.39010
Lin, Genghong; Zhou, Zhan; Yu, Jianshe
2020
Homoclinic solutions in non-periodic discrete $$\phi$$-Laplacian equations with mixed nonlinearities. Zbl 1353.39007
Lin, Genghong; Zhou, Zhan
2017
Homoclinic solutions in periodic difference equations with mixed nonlinearities. Zbl 1348.39003
Lin, Genghong; Zhou, Zhan
2016
Periodic and subharmonic solutions for a $$2n$$th-order $$\phi_c$$-Laplacian difference equation containing both advances and retardations. Zbl 1418.39011
Mei, Peng; Zhou, Zhan; Lin, Genghong
2019
Fractional derivatives applied to phase-space reconstructions. Zbl 1100.70015
Feeny, B. F.; Lin, G.
2004
Grazing bifurcations in an elastic structure excited by harmonic impactor motions. Zbl 1138.74031
Long, X.-H.; Lin, G.; Balachandran, B.
2008
Signed genome rearrangement by reversals and transpositions: Models and approximations. Zbl 0972.68052
Lin, G.-H.; Xue, G.
2001
Simulation of fiber debonding with friction in a model composite pushout test. Zbl 1047.74533
Lin, G.; Geubelle, P. H.; Sottos, N. R.
2001
A delayed differential equation model for mosquito population suppression with sterile mosquitoes. Zbl 1468.34112
Hui, Yuanxian; Lin, Genghong; Yu, Jianshe; Li, Jia
2020
Fractional derivative reconstruction of forced oscillators. Zbl 1170.70350
Lin, G.; Feeny, B. F.; Das, T.
2009
Non-smooth nonlinear equation methods for solving 3D elastoplastic frictional contact problems. Zbl 1161.74042
Hu, Z. Q.; Soh, Ai-Kah; Chen, W. J.; Li, X. W.; Lin, G.
2007
Multitype bistability and long transients in a delayed spruce budworm population model. Zbl 1464.34109
Lin, Genghong; Ji, Juping; Wang, Lin; Yu, Jianshe
2021
Homoclinic solutions of discrete nonlinear Schrödinger equations with partially sublinear nonlinearities. Zbl 1417.39027
Lin, Genghong; Yu, Jianshe; Zhou, Zhan
2019
Distribution profiles in gene transcription activated by the cross-talking pathway. Zbl 1420.92023
Jiao, Feng; Sun, Qiwen; Lin, Genghong; Yu, Jianshe
2019
Periodic and subharmonic solutions for a $$2n$$th-order difference equation containing both advance and retardation with $$\phi$$-Laplacian. Zbl 1347.39016
Lin, Genghong; Zhou, Zhan
2014
Fluctuations of mRNA distributions in multiple pathway activated transcription. Zbl 1415.92081
Lin, Genghong; Yu, Jianshe; Zhou, Zhan; Sun, Qiwen; Jiao, Feng
2019
Stability analysis in a mosquito population suppression model. Zbl 1447.92349
Lin, Genghong; Hui, Yuanxian
2020
Homoclinic solutions of a class of nonperiodic discrete nonlinear systems in infinite higher dimensional lattices. Zbl 1470.39029
Lin, Genghong; Zhou, Zhan
2014
A stepwise damping-solvent extraction method for large-scale dynamic soil-structure interaction analysis in time domain. Zbl 1273.74267
Li, J. B.; Yang, J.; Lin, G.
2008
Oscillation threshold for a mosquito population suppression model with time delay. Zbl 1470.92244
Hui, Yuanxian; Lin, Genghong; Sun, Qiwen
2019
Multitype bistability and long transients in a delayed spruce budworm population model. Zbl 1464.34109
Lin, Genghong; Ji, Juping; Wang, Lin; Yu, Jianshe
2021
Ground state solutions of discrete asymptotically linear Schrödinger equations with bounded and non-periodic potentials. Zbl 1439.39010
Lin, Genghong; Zhou, Zhan; Yu, Jianshe
2020
A delayed differential equation model for mosquito population suppression with sterile mosquitoes. Zbl 1468.34112
Hui, Yuanxian; Lin, Genghong; Yu, Jianshe; Li, Jia
2020
Stability analysis in a mosquito population suppression model. Zbl 1447.92349
Lin, Genghong; Hui, Yuanxian
2020
Periodic and subharmonic solutions for a $$2n$$th-order $$\phi_c$$-Laplacian difference equation containing both advances and retardations. Zbl 1418.39011
Mei, Peng; Zhou, Zhan; Lin, Genghong
2019
Homoclinic solutions of discrete nonlinear Schrödinger equations with partially sublinear nonlinearities. Zbl 1417.39027
Lin, Genghong; Yu, Jianshe; Zhou, Zhan
2019
Distribution profiles in gene transcription activated by the cross-talking pathway. Zbl 1420.92023
Jiao, Feng; Sun, Qiwen; Lin, Genghong; Yu, Jianshe
2019
Fluctuations of mRNA distributions in multiple pathway activated transcription. Zbl 1415.92081
Lin, Genghong; Yu, Jianshe; Zhou, Zhan; Sun, Qiwen; Jiao, Feng
2019
Oscillation threshold for a mosquito population suppression model with time delay. Zbl 1470.92244
Hui, Yuanxian; Lin, Genghong; Sun, Qiwen
2019
Homoclinic solutions of discrete $$\phi$$-Laplacian equations with mixed nonlinearities. Zbl 1396.39008
Lin, Genghong; Zhou, Zhan
2018
Homoclinic solutions in non-periodic discrete $$\phi$$-Laplacian equations with mixed nonlinearities. Zbl 1353.39007
Lin, Genghong; Zhou, Zhan
2017
Homoclinic solutions in periodic difference equations with mixed nonlinearities. Zbl 1348.39003
Lin, Genghong; Zhou, Zhan
2016
Periodic and subharmonic solutions for a $$2n$$th-order difference equation containing both advance and retardation with $$\phi$$-Laplacian. Zbl 1347.39016
Lin, Genghong; Zhou, Zhan
2014
Homoclinic solutions of a class of nonperiodic discrete nonlinear systems in infinite higher dimensional lattices. Zbl 1470.39029
Lin, Genghong; Zhou, Zhan
2014
Fractional derivative reconstruction of forced oscillators. Zbl 1170.70350
Lin, G.; Feeny, B. F.; Das, T.
2009
Grazing bifurcations in an elastic structure excited by harmonic impactor motions. Zbl 1138.74031
Long, X.-H.; Lin, G.; Balachandran, B.
2008
A stepwise damping-solvent extraction method for large-scale dynamic soil-structure interaction analysis in time domain. Zbl 1273.74267
Li, J. B.; Yang, J.; Lin, G.
2008
Non-smooth nonlinear equation methods for solving 3D elastoplastic frictional contact problems. Zbl 1161.74042
Hu, Z. Q.; Soh, Ai-Kah; Chen, W. J.; Li, X. W.; Lin, G.
2007
Fractional derivatives applied to phase-space reconstructions. Zbl 1100.70015
Feeny, B. F.; Lin, G.
2004
Signed genome rearrangement by reversals and transpositions: Models and approximations. Zbl 0972.68052
Lin, G.-H.; Xue, G.
2001
Simulation of fiber debonding with friction in a model composite pushout test. Zbl 1047.74533
Lin, G.; Geubelle, P. H.; Sottos, N. R.
2001
Renormalization group and asymptotics of solutions of nonlinear parabolic equations. Zbl 0806.35067
Bricmont, J.; Kupiainen, A.; Lin, G.
1994
all top 5

Cited by 53 Authors

 19 Zhou, Zhan 11 Yu, Jian-She 7 Lin, Genghong 4 Chen, Guanwei 4 Jiao, Feng 4 Shi, Haiping 3 Ling, Jiaoxiu 3 Liu, Xia 3 Long, Yuhua 3 Mei, Peng 3 Zheng, Bo 3 Zhou, Tao 2 Ji, Juping 2 Ren, Jian 2 Schechter, Martin 2 Wang, Lin 2 Wang, Shaohong 2 Wang, ZhenGuo 2 Zhang, Qinqin 1 Balanov, Zalman I. 1 Chang, Lijie 1 Chen, Tianlan 1 Du, Sijia 1 Erbe, Lynn Harry 1 García-Azpeitia, Carlos 1 Han, Guosheng 1 Henderson, Johnny Lee 1 Hu, Linchao 1 Huang, Zan 1 Hui, Yuanxian 1 Jia, Baoguo 1 Krawcewicz, Wieslaw Z. 1 Li, Cuiping 1 Li, Liuming 1 Liang, Yongwen 1 Liu, Chungen 1 Liu, Hanyan 1 Liu, Yunfeng 1 Luca, Rodica 1 Luo, Danfeng 1 Luo, Liping 1 Luo, Peifang 1 Luo, Zhenguo 1 Ma, Ruyun 1 Ma, Shiwang 1 Qiu, Zihua 1 Wang, Jianxia 1 Xie, Jingli 1 Zeng, Yunhui 1 Zhang, Zhuomin 1 Zhou, Benxing 1 Zhu, Chunjuan 1 Zhu, Qing
all top 5

Cited in 25 Serials

 7 Applied Mathematics Letters 7 Discrete Dynamics in Nature and Society 4 Journal of Difference Equations and Applications 3 Communications on Pure and Applied Analysis 2 Journal of Differential Equations 2 Complexity 2 Mathematical Problems in Engineering 2 Communications in Nonlinear Science and Numerical Simulation 2 Discrete and Continuous Dynamical Systems. Series B 2 Discrete and Continuous Dynamical Systems. Series S 2 Advances in Nonlinear Analysis 2 Journal of Function Spaces 2 Open Mathematics 1 Journal of Mathematical Analysis and Applications 1 Physica D 1 The Journal of Geometric Analysis 1 SIAM Journal on Mathematical Analysis 1 Journal of Dynamics and Differential Equations 1 Calculus of Variations and Partial Differential Equations 1 Electronic Journal of Differential Equations (EJDE) 1 Advances in Difference Equations 1 Boundary Value Problems 1 Journal of Applied Analysis and Computation 1 AIMS Mathematics 1 Electronic Research Archive
all top 5

Cited in 10 Fields

 38 Difference and functional equations (39-XX) 11 Ordinary differential equations (34-XX) 11 Partial differential equations (35-XX) 11 Biology and other natural sciences (92-XX) 7 Dynamical systems and ergodic theory (37-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Real functions (26-XX) 1 Mechanics of particles and systems (70-XX) 1 Systems theory; control (93-XX)


text:
# Specific heat capacity of duct filling

The values for the possible filling material of the duct are listed such as air, nitrogen at 15 bar, water and oil.

Symbol
$\sigma_{d_{fill}}$
Unit
J/K.m$^3$
Related
$\sigma_{d}$
Used in
$Q_{d_{fill}}$
Choices
MaterialValue
AirNormal air1200.0
N2Nitrogen at 15 bar17000.0
H2OCooling water4180000.0
OilMineral oil1700000.0


text:
# Quaternion rotation around center, undefined behavior

Here's my code:

vec4 qx, qy, qz;
mat4 mx, my, mz;

// rotating using quaternions

// turning the quaternions into matrices
glm_quat_mat4(qx, mx);
glm_quat_mat4(qy, my);
glm_quat_mat4(qz, mz);

mat4 trans = {
1, 0, 0, 0,
0, 1, 0, 0,
0, 0, 1, 0,
0, 0, 0, 1
};

mat4 rot = {
1, 0, 0, 0,
0, 1, 0, 0,
0, 0, 1, 0,
0, 0, 0, 1
};

mat4 final;

// combining the rotations into one.
glm_mat4_mulN((mat4* []){&mx, &my, &mz}, 3, rot);

// translating the trans matrix.
glm_translate(trans, (vec3){ a->x, a->y, a->z });

// finally combining the translation with the rotation into one.
glm_mat4_mul(trans, rot, final);

My desired behavior is that the object rotates around its center, but here is what happens instead:

So , it seems that my object is rotating around some weird other undefined point. I have no idea why this happens.

Any ideas? Thank you.

• You applied the rotation and translation in the wrong order. To rotate an object around its center its center has to be at the origin (0,0,0). Note that multiplication of matrices is not commutative. In general: A·B != B·A – Socowi Jun 7 at 10:29
• @Socowi But when I change the order, then the Z axis becomes the Y axis, and my translation becomes messed up – Sebastian Karlsson Jun 7 at 10:31

Affine transformations use the following order:

1. Translate
2. Rotate
3. Scale

I'm not sure what version of glm you are using, but the code looks very strange.

In C++ terms, it should look something like this:

// rotating using quaternions
glm::vec3 x(1.0f,.0f,.0f);
glm::vec3 y(.0f,1.0f,.0f);
glm::vec3 z(.0f,.0f,1.0f);

glm::quat q(1.0f);

glm::mat4 ident(1.0f), final(1.0f);

glm::mat4 translate = glm::translate(ident, a->position);
glm::mat4 rotate = glm::toMat4(q); // Or something like that
glm::mat4 scale = glm::scale(glm::mat4(1.0f), a->scale);

final = scale * rotate * translate * ident; // In code order is right to left.

The above code is using the current glm API, so I can only assume you are either using a very old version, or are intentionally abstracting the actual glm calls. In any case:

1. Order matters. To rotate around a point, rotate first, then translate. To rotate around the centre of the object translate first, then rotate: AB != BA. Read https://en.wikipedia.org/wiki/Affine_transformation for more information.

2. Resource Acquisition Is Initialization(RAII): ALWAYS initialize your matrices to the identity matrix values: GLM matrices are internally an array of floats, so when assigned, will just use whatever data happens to be in that memory at the time. If you're lucky, it will be zeroed. Don't count on that. In fact, follow RAII best practices and always initialize all your variables. It might seem tedious, but I guarantee you, as your code gets more complex, uninitialized numerical data will account for more than half your weird, hard to explain behavior. Read https://en.wikipedia.org/wiki/Resource_acquisition_is_initialization for more information.


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## Acta Physica Polonica A

2014 | 126 | 1 | 394-395
Article title

### Noise Analysis of Magnetic Sensors Using Allan Variance

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EN
The article deals with the noise analysis of magnetic sensors using Allan variance. In comparison with the standard variance, based on the variations around the average value, Allan variance provides a measure of the behavior of the variability of a quantity as it is averaged over different measurement time periods, which results in a better convergence and the possibility to distinguish types of noise directly. A significant advantage of this method is that there is no need of any transformations and according to the IEEE recommendation the Allan variance approach is the preferred method for stochastic error identification and the noise type determination in inertial sensors (accelerometers and gyroscopes). Considering that magnetic sensors become even more often a part of inertial measurements units, the goal of this article is to prove that the method using the Allan variance analysis can be very successfully applied also for noise analysis in magnetic sensors.
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394-395
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2014-07
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• Department of Aviation Technical Studies, Faculty of Aeronautics, Technical University of Kosice, Rampová 7, 041 21 Košice, Slovakia
author
• Department of Aviation Technical Studies, Faculty of Aeronautics, Technical University of Kosice, Rampová 7, 041 21 Košice, Slovakia
author
• Department of Aviation Technical Studies, Faculty of Aeronautics, Technical University of Kosice, Rampová 7, 041 21 Košice, Slovakia
author
• Department of Aviation Technical Studies, Faculty of Aeronautics, Technical University of Kosice, Rampová 7, 041 21 Košice, Slovakia
author
• Department of Aviation Technical Studies, Faculty of Aeronautics, Technical University of Kosice, Rampová 7, 041 21 Košice, Slovakia
author
• Department of Aviation Technical Studies, Faculty of Aeronautics, Technical University of Kosice, Rampová 7, 041 21 Košice, Slovakia
References
• [1] Magnetic Sensors and Magnetometers, Ed. P. Ripka, Artech, Boston 2001, ISBN 1-58053-057-5
• [2] IEEE Std $1554^{TM}$-2005: IEEE Recommended Practice for Inertial Sensor Test Equipment, Instrumentation, Data Acquisition, and Analysis, IEEE Aerospace and Electronic System Society, 2005
• [3] M.H. Afzal, http://www.geomatics.ucalgary.ca/graduatetheses Use of Earth's Magnetic Field for Pedestrian Navigation, Ph.D. Thesis, University of Calgary, Alberta 2011
• [4] D.W. Allan, IEEE Trans. on Instrumentation and Measurement IM-36, 646 (1987), doi: 10.1109/TIM.1987.6312761
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