Interactive Mathematics Program High Dive Answers

Beautiful and accessible math in all browsers

A JavaScript display engine for mathematics that works in all browsers.
No more setup for readers. It just works.

Services

Content Transformation

Stylized Epub logo MathJax provides tools to transform your content from traditional print sources into modern, accessible web content and ePubs.

Accessible Web and EPubs

Training and Teaching

Stylized mortarboard The MathJax team is available to train your staff in using our resources for preparing online teaching material and creating accessible STEM content.

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Consultancy

Stylized keyboard MathJax is highly flexible and can be tailored to the needs of your institution by creating customized configurations and specialized software workflows.

Content Transformation

MathJax can help you with the conversion of math documents from legacy sources and print content as well as with the generation of novel content that is online ready and fully accessible for readers with special needs. The MathJax team is available to consult on putting the necessary workflows in place in your institution.

EPubs and Offline Content

MathJax can also be employed in server-side workflows to prepare content that can be viewed offline or generate documents that are compatible with modern ePub readers. Accessibility can be ensured by including alternative textual descriptions or more fine-grained speech annotations and Braille.

For further information on content-transformation services please contact us.

Training and Teaching

The members of the MathJax team are professors in their own institutions with a long and successful track record in teaching and research. We regularly give presentations and workshops on the use of MathJax and its accessibility features for online teaching at international events.

Support for Online Teaching

MathJax is compatible with most Learning Management systems. We can help you to transfer your mathematical teaching materials to the web, allowing your faculty to teach mathematics online in an inclusive and accessible manner.

Support for Online Examinations

Remote online examinations are increasingly important. MathJax can help in preparing exam materials that are not only visually of the highest quality but also ensures that they are accessible for all students regardless of their individual needs.

Staff Training

We train teachers, faculty, and staff on how to prepare fully accessible math course materials. Training programs can be tailored to your specific requirements and those of your audience. We cover a variety of topics including:

porting math documents from sources like LaTeX, Word, and PDF to web formats containing SVG and MathJax,
generating mathematical material that is both web-ready and ePub compatible,
web accessibility and WCAG guidelines for teaching material in mathematics, and
an introduction to assistive technologies for STEM subjects.

Please contact us for more information on how to get your teaching online and the training programs we can provide.

Consultancy

MathJax is a highly modular and flexible system that can be adapted to fit the needs of any application and any content: from static website to highly dynamic environments; from simple teaching handouts to highly sophisticated typesetting in scientific publishing. We can help you create the right configurations for you environments and adapt MathJax for the needs of your organization.

Upgrades

With the release of version 3.0, MathJax has moved to a modern TypeScript implementation. If you need advice on upgrading your local installation, or your content to use MathJax v3, please contact us.

Fonts

We support a variety of fonts and employ techniques to adapt rendering of formulas to fit visually to their surrounding text. Should you need a specialised font or rendering support, it can be incorporated into our production pipeline to be available as an extension for your organization or in the core system.

Conversion Workflows

MathJax is an essential tool in converting traditional print sources to accessible, web-ready content. We can advise you on what tool chain is best for your needs, assemble installations, and provide you with bespoke MathJax customizations.

Accessibility

We provide consultancy on how to adapt your existing web-content, software solutions, and workflows to make them fully accessible for users with visual and print impairments. We will work with your own personnel to ensure that your material is fully accessible.

If you have any particular needs for making MathJax working in your organization, please contact us regarding our consultancy services.

Features and Benefits

High-quality typography

MathJax uses CSS with web fonts or SVG, instead of bitmap images or Flash, so equations scale with surrounding text at all zoom levels.

View Samples

Modular Input & Output

MathJax is highly modular on input and output. Use MathML, TeX, and ASCIImath as input and produce HTML+CSS, SVG, or MathML as output.

Try a live demo

Accessible & reusable

MathJax works with screenreaders & provides expression zoom and interactive exploration. You also can copy equations into Office, LaTeX, wikis, and other software.

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Samples

Our homepage is configured to use MathJax's CommonHTML mode with web fonts to display the equations, which produces uniform layout and typesetting across browsers. But MathJax can also be configured to use HTML-CSS (for legacy browsers), SVG, and native MathML rendering when available in a browser. You can try the various output modes using the MathJax context Menu (which you access by ctrl+clicking / alt-clicking / right-clicking an equation) or the menu below.

Select the rendering mode:

The Quadratic Formula

\[x = {-b \pm \sqrt{b^2-4ac} \over 2a}.\]

Cauchy's Integral Formula

\[f(a) = \frac{1}{2\pi i} \oint\frac{f(z)}{z-a}dz\]

Angle Sum Formula for Cosines

\[ \cos(\theta+\phi)=\cos(\theta)\cos(\phi)−\sin(\theta)\sin(\phi) \]

Gauss' Divergence Theorem

\[ \int_D ({\nabla\cdot} F)dV=\int_{\partial D} F\cdot ndS \]

Curl of a Vector Field

\[ \vec{\nabla} \times \vec{F} = \left( \frac{\partial F_z}{\partial y} - \frac{\partial F_y}{\partial z} \right) \mathbf{i} + \left( \frac{\partial F_x}{\partial z} - \frac{\partial F_z}{\partial x} \right) \mathbf{j} + \left( \frac{\partial F_y}{\partial x} - \frac{\partial F_x}{\partial y} \right) \mathbf{k} \]

Standard Deviation

\[\sigma = \sqrt{ \frac{1}{N} \sum_{i=1}^N (x_i -\mu)^2} \]

Definition of Christoffel Symbols

\[(\nabla_X Y)^k = X^i (\nabla_i Y)^k = X^i \left( \frac{\partial Y^k}{\partial x^i} + \Gamma_{im}^k Y^m \right)\]

Live Demo

Type text in the box below. Include some math: enter MathML as MathML tags, and wrap TeX in $...$ or $$...$$ delimiters (or $...$ and \[...\]), and AsciiMath in `...` delimiters. The text you enter is actually HTML, so you can include tags if you want; but this also means you have to be careful how you use less-than signs, ampersands, and other HTML special characters within your math (surrounding them by spaces should be sufficient).

Preview is shown here:

Getting Started

Web Integration

Whether you're a casual user, a serious author, or a professional developer, it's easy to integrate MathJax.

Start now

Server Integration

Our node package allows you to use MathJax on the server or integrate it into your development workflow.

Install now

Works everywhere

MathJax generates high-quality output on all browsers & platforms - even legacy browsers such as IE 6 (if you really have to).

Check our overview

A rich API

Use our extensive APIs to create interactive content, advanced authoring tools, and math-enabled web and mobile apps.

Dive deeper

General Support

You can ask general questions on the MathJax-Users mailing list where the entire community can chime in.

Learn more

Simple integration

Adding MathJax to your web pages is easy to do.

If you are using a Content Management System (like Wordpress, Moodle, or Drupal) to generate your web site, there may be a plugin to add MathJax to your site already, e.g., for Wordpress or Drupal. You may need to download or activate the plugin, if one is available.

If you are using specialized authoring tools, such as LaTeX or Markdown, they might integrate MathJax out of the box or have plugins, e.g., for LaTeX, Markdown, or even epub.

Using MathJax version 3

If you write your own HTML (directly or via a template/theme engine), you can include MathJax by adding this snippet to your page:

                <script src="https://polyfill.io/v3/polyfill.min.js?features=es6"></script> <script id="MathJax-script" async src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js"></script>

Here's a pre-populated example on jsbin you can re-use.

Note: the configuration file tex-mml-chtml.js is a great way to test both TeX and MathML input options at once. You can find leaner combined components in our documentation.

If you use the snippet above, you will not need to change the version number in the src attribute every time the version of MathJax changes. If you want to always use a specific version, then use a reference like

                <script src="https://polyfill.io/v3/polyfill.min.js?features=es6"></script> <script id="MathJax-script" async src="https://cdn.jsdelivr.net/npm/mathjax@3.0.1/es5/tex-mml-chtml.js"></script>

Here's a pre-populated example on jsbin you can re-use.

Jump to our v3 docs

Using MathJax version 2

Some features from version 2 are still being ported to version 3. MathJax version 2 is still available, and you can continue to use that until version 3 includes the features that you need. We will make updates to version 2 until version 3 is complete. To load MathJax version 2 into your page, use this snippet:

<script async src="https://cdn.jsdelivr.net/npm/mathjax@2/MathJax.js?config=TeX-AMS-MML_CHTML"></script>

More information is available in the version 2 documentation at the link below.

Jump to our v2 docs

Server Integration

If you prefer to render server-side, MathJax version 3 makes that easy as well. MathJax is available as a node package, which is easy to install via node's package manager npm using the command

Alternatively, MathJax is available on Packagist. Just add the following line to your require section in the composer.json file of your project

Or simply download a copy of the latest distribution. This allows you to run MathJax on your server and configure it yourself. There are plenty of examples on how to use and configure MathJax for node in our MathJax Node Demos repository.

If you are a developer who wants to integrate MathJax more tightly into your development workflow, you can use our full code node package available npm with

Or simply download the source code directly.

Getting started with Node

Browser support

MathJax generates consistent, high-quality output on all browsers & platforms. Our output formats support all the major browser, including: IE11, Edge, Chrome, Firefox, Safari, Opera, etc.

Version 2 of MathJax supported earlier versions of IE, back to IE6 in some output formats, so if you need to support extremely old browsers, you can continue to use MathJax v2.7 for those needs.

You can find additional details in our documentation

About us

MathJax is a fiscally sponsored project under the auspices of the NumFOCUS Foundation, which serves as the legal and fiscal umbrella for the MathJax project and several dozen other open-source, scientifically oriented software products.

Originally, MathJax was supported by The MathJax Consortium, a joint venture of the American Mathematical Society (AMS) and the Society for Industrial and Applied Mathematics (SIAM) to advance mathematical and scientific content on the web. We are grateful for the commitment offered by the Consortium for over 10 years, without which MathJax would not exist today.

Core Goals

The core of the MathJax project is the development of its state-of-the-art, open source, JavaScript platform for display of mathematics. Our key design goals are:

High-quality display of mathematics notation in all browsers.
No special browser setup required.
Support for LaTeX, MathML, and other equation markup directly in the HTML source.
An extensible, modular design with a rich API for easy integration into web applications.
Support for accessibility, copy and paste, and other rich functionality.
Interoperability with other applications and math-aware search.
Support for equation conversion outside a browser (e.g., preprocessing on a server).

Advisory Committees

The MathJax Steering Committee meets regularly to advise the MathJax team on its development goals and priorities. We're grateful for the support of our committee members!

MathJax Steering Committee

Catherine Roberts, AMS
Robert Harington, AMS
Tom Blythe, AMS
Astrid van Hoeydonck, Elsevier
Ken Rawson, IEEE
Ted Kull, SIAM
Jim Crowley, SIAM
Davide Cervone, MathJax
Volker Sorge, MathJax

History

MathJax grew out of the popular jsMath project, an earlier Ajax-based math rendering system developed by Davide Cervone in 2004. In the following years, there were many significant developments relevant for web publication of mathematics: consolidation of browser support for CSS 2.1, Web Font technology, adoption of math accessibility standards, and increasing usage of XML workflows for scientific publication.

In 2009, the AMS, Design Science, and SIAM formed the MathJax Consortium to enable Cervone and others to design MathJax from the ground up as a next-generation platform, while still benefiting from the extensive real-world experience gained from jsMath. Since its initial release in 2010, MathJax has become the gold standard for mathematics on the web.

In 2019, MathJax joined the NumFOCUS family of open-source software products as a fiscally sponsored project. MathJax continues to be supported by the founding sponsors and other partners, as it joins this dynamic community.

Over the years since MathJax was first developed, new web technologies and paradigms emerged, and MathJax was not always easy to incoporate into these new approaches. In 2017, after nearly a decade of use, work on MathJax version 3 was begun, a complete rewrite of MathJax from the ground up using modern techniques. This new version integrates with current toolchains and frameworks, and can run equally well in a browser on a server, or in a stand-alone application. It should form a solid foundation for another decade of MathJax use, and its use of the Typescript language should make contributions from our user community easier to produce and incorporate into MathJax.

The MathJax Team

The MathJax team consists of Davide Cervone and Volker Sorge. Contributors include Christian Lawson-Perfect, Omar Al-Ithawi, and Peter Krautzberger.