MathCSS

A verbose, responsive, and easy way to represent basic math and calculus by a few lines of HTML without the need for a heavier JavaScript library. Built exclusively in CSS using a block-chain technique. Sister library to: https://github.com/mathexl/chemistry-css

New in 2.5.0

• Added support for Matrixes
• Added support for display in white

What's MathCSS good for?

• Quick depictions of integrals, summations, products, and alike.
• Fast loading time. MathCSS uses no JS. None!
• Scalable, responsive design. MathCSS is built like a choo-choo-s train.
• Special math symbols without looking up the unicode.

Support soon to be added for:

• Multi-bounds

Usage

Getting Started

First, add the CSS file to your page:

<link href="path/to/math.css" rel="stylesheet">

And you're ready to go! Documentation is easy as provided below. Simply, add an equation attribute to begin as follows (you can use the mathbox alias as well):

<div equation>
   <!-- Your equation will go here -->
</div>

If you want the display to be entirely in white, add the class white to the <div> tag. So:

<div equation class="white">
<!-- Your equation will go here -->
</div>

Integrals, Products, Summations

The goal of MathCSS is so that your HTML reads like math. You can easily add integral, doubleintegral, tripleintegral, product, summation like such:

<div equation>
    <div integral>

    </div>
</div>

To specify bounds and input, simply use upperbound, lowerbound, and of attributes:

<div integral>
    <div upperbound>
        5x
    </div>
    <div lowerbound>
        39x
    </div>
    <div of>
        35x + 45
    </div>
</div>

upperbound, lowerbound, and of will only display correctly when inside integral, doubleintegral, tripleintegral, product, or summation.

Since upperbound and lowerbound attributes are absolute, the order in which you declare them doesn't matter.

Fractions, Derivatives (a special fraction), Partial Derivatives

MathCSS has built-in support for fraction, derivative (short fraction), and partial derivative.

<div equation>
    <div fraction>

    </div>
</div>

To specify top and bottom, simply use top and bottom attributes:

<div fraction>
    <div top>
        5x
    </div>
    <div bottom>
        39x
    </div>
</div>

While MathCSS cannot support infinite fraction's within each other, it can go down a scope of 2. You can embed a subfraction in a fraction, but not a subfraction in a subfraction in a subfraction due to sizing constraints. For instace, the following code will work:

<div fraction>
    <div top>

        <div fraction>
            <div top>
                35y + 4x
            </div>
            <div bottom>
                12x + 4z
            </div>  
        </div>

        + y<sup>2</sup> +

        <div fraction>
            <div top>
                35x + 4y
            </div>
            <div bottom>
                12z + 4
            </div>  
        </div>

    </div>
    <div bottom>

        <div fraction>
            <div top>
                35x + 2x
            </div>
            <div bottom>
                11x + 4
            </div>  
        </div>

        + 5 +

        <div fraction>
            <div top>
                35x + 4x
            </div>
            <div bottom>
                12x + 4
            </div>  
        </div>

    </div>
</div>

If you ever need to enclose a fraction in a fraction in a fraction, it is optimal to use a de facto (x / y) notation - that helps with readibility anyway due the decreasing sizes of integer.

Since derivatives are technically both a fraction and an operand, they behave like a fraction in MathCSS. For the term that is being derived, just follow the derivative with a term tag. For example:

<div derivative>
    <div top>
        x
    </div>
    <div bottom>
        y
    </div>
</div>

<div term>
    35x + 45
</div>

MathCSS also tries to allow users to never have to look up the unicode for common math symbols. Hence, there is a built in partial derivative function, just exclude the special d's. And yup, partial derivative reads just like English, use two words, not one or hyphenated.

<div partial derivative>
    <div top>
        x
    </div>
    <div bottom>
        y
    </div>
</div>

<div term>
    35x + 45
</div>

Limits

Creating limits involves just three parts, the variable variable, what it is approaching goingto, and the term represented by of. The following code below would render the limit of x approaching infinity of thirty-five x squared plus twelve x plus nine.

<div limit>
    <div variable>
        x
    </div>
    <div goingto>
        <hr infty>
    </div>
    <div of>
        35x<sup>2</sup> + 12x + 9
    </div>
</div>

Square Roots and Roots

You can add square roots easily using the root attribute. You can also specify the degree of the root with degree. Use of for the term. The degree tag is optional.

<div root>
    <div of>
        35x + 45y<sup>2</sup> + 23
    </div>
    <div degree>
        4
    </div>
</div>

Vector Brackets

You can add vector wide brackets using vector instead of term.

<div vector>
    4x, 3
</div>

HR Magic!

Using HTML's built in <hr> tag, we can easily add common math characters into our equation without the messy closing tags.

For example, if you want to show the integral from the upperbound of infinity to the lower bound of 2 pi, of 35x + 45, simply:

<div integral>
    <div upperbound>
        <hr infty>
    </div>
    <div lowerbound>
        2<hr pi> + 6
    </div>
    <div of>
        35x + 45<hr pi>
    </div>
</div>

The above code renders:

The tags <hr pi> and <hr infty> will automatically show. The available subclasses range from greek commons, discrete math symbols, and common figures. See the full list below. Simply use <hr [KEYWORD]> -- no </hr> necessary.

Operand and Values:

partial, pm, infty, approx, neq, leq, geq

Discrete Math:

forall, exists, nexists, in, notin, and, or, cap, cup, congruent, subsetleft, subsetright, notsubsetleft, notsubsetright, subsetorequaltoright, subsetorequaltoleft, notsubsetorequaltoleft, notsubsetorequaltoright

Greek Letters:

pi, alpha, beta, lambda, delta (more coming soon)

Absolute Value

To add absolute value, you can either use the u tag or use <span absolute> with whatever is being absoluted. For instance:

``HTML -5 + -5 = 10

### General Operands

If you need to add, subtract, multiply, or divide two terms in a sequence, use `add`, `subtract`, `multiply`, `divide`.

Note that these attributes will only display functionally within the general equation tag and not within a integral for spacing reasons.

For example:

```HTML
<div equation>
    <div integral>
        <div upperbound>
            5x<sup>2</sup>
        </div>
        <div lowerbound>
            39x
        </div>
        <div of>
            35x + 45
        </div>
    </div>

    <div add></div>

    <div doubleintegral>
        <div upperbound>
            5y
        </div>
        <div lowerbound>
            3y
        </div>
        <div of>
            35y<sup>78</sup> + 45
        </div>
    </div>
</div>

Exponents

If you want to add exponents, use the standard HTML <sup></sup> tags:

<div integral>
    <div upperbound>
        5x<sup>2</sup>
    </div>
    <div lowerbound>
        39x
    </div>
    <div of>
        35x + 45
    </div>
</div>

Matrixes

The inherent complexity of matrixes makes them a bit different syntactically in Math.css. Math.css supports matrixes up to the size of 8 rows and infinite (within reason) cols. First, you need to declare the type of matrix along with the number of rows.
Due to the limits of CSS, the amount of rows needs to be statically declared unlike the number of cols.

<div matrix two>
  <!-- content here! -->
</div>

This will create a matrix of two rows. The key attributes three, four, five, six, seven, eight all work respectively.

Due to the need to dynamically size the width of entries for long entries, we need to insert things into a matrix on a column to column basis.

To make things easy, math.css ships with two different ways of inserting columns. The first is the b-a method, which encloses a tags (entries) with b tags (cols). For instance, if I wanted the matrix of two by two rows, with the first row being 6 and 12, and the second row being 4 and 5, we get this:

<div matrix two>
  <b>
    <a>6</a>
    <a>4</a>
  </b>  
  <b>
    <a>12</a>
    <a>5</a>
  </b>
</div>

However, this can get tedious given the amalgam of tags necessary. Therefore, you can instead use the alternate <hr> method where you separate each entry with an <hr> tag. Therefore, nothing is enclosed.

<div matrix two>
  <b>
    6
    <hr>
    4
  </b>  
  <b>
    12
    <hr>
    5
  </b>
</div>

Choose

If you want to add probability constructs like n choose k, simply use the choose tag, similar to how you would construct a fraction. Using the tags top and bottom for each part of the choose.

<div choose>
    <div top>
        4
    </div>
    <div bottom>
        3
    </div>
</div>

License

MIT License: free to use and open source.

Want to add something? Feel free to fork or email me at [email protected]. Or even send me a tweet to @mathewpregasen :).