Inserting Mathematics in Wiki Pages

There are three ways of inserting mathematics in UniWakka: Latex, ASCIIMathML, MathML.

Which is really cool.

Latex-like Mathematics

Here are some examples:

$$\left\{\begin{array}{cc}
x_{1} & x_{2}\\
x_{1} & x_{1}\end{array}\right]$$

will produce:
{ x 1 x 2 x 1 x 1 ]

$$\left(\begin{array}{cccc}a& b& c& d\\ e& f& g& h\\ i& l& m& n\\ o& p& q& r\end{array}\right)$$

will produce:
( a b c d e f g h i l m n o p q r )

$$\frac{d}{dx}f(x)=\lim_{h\rightarrow0}\frac{f(x+h)-f(x)}{h}$$

will produce:
d d x f ( x ) = lim h → 0 f ( x + h ) - f ( x ) h

$$\frac{df}{dx}(x)=\underset{h\rightarrow0}{lim}\frac{f(x+h)-f(x)}{h}$$

will produce:
d f d x ( x ) = lim h → 0 f ( x + h ) - f ( x ) h

$$\int_{0}^{+\infty}t^{x-1}e^{-t}dt=\Gamma(x)$$

will produce:
∫ 0 + ∞ t x -1 e - t d t = Γ ( x )

$$f(x)=\sum_{n=0}^\infty\frac{f^{(n)}(a)}{n!}(x-a)^n$$

will produce:
f ( x ) = ∑ n = 0 ∞ f ( n ) ( a ) n ! ( x - a ) n

$$\frac{d}{dx}f(x)=\lim_{h\to 0}\frac{f(x+h)-f(x)}{h}$$

will produce:
d d x f ( x ) = lim h → 0 f ( x + h ) - f ( x ) h

$$\Pi\equiv\beta-2\frac{\sqrt{223}}{22^{3}}$$

will produce:
Π ≡ β -2 223 22 3

$$\overline{L-x}=\epsilon$$

will produce:
L - x ¯ = ε

ASCIIMathML Mathematics

Here are some examples:

``int_-1^1 sqrt(1-x^2)dx = pi/2``

will produce:
∫ -1 1 1 - x 2 d x = π 2

``x^2+y_1+z_12^34``

will produce:
x 2 + y 1 + z 12 34

``d/(dx)f(x)=lim_(h->0)(f(x+h)-f(x))/h``

will produce:
d d x f ( x ) = lim h → 0 x ( x + h ) - f ) h

``f(x)=sum_(n=0)^oo(f^((n))(a))/(n!)(x-a)^n``

will produce:
f ( x ) = ∑ n = 0 ∞ a ) n ! ( x - a ) n

``a\\b``

will produce:
a \ b

``{(x_{1} , x_{2}),(x_{1} , x_{1})]``

will produce:
{ x 1 x 2 x 1 x 1 ]

``((a,b,c,d),(e,f,g,h),(i,l,m,n),(o,p,q,r))``

will produce:
( a b c d e f g h i l m n o p q r )

``\sum_{n=1}^N x^2 +2``

will produce:
∑ n = 1 N x 2 +2

MathML Mathematics

Here are some examples:

<math>
<mrow>
<mfrac>
<mrow>
<mi>x</mi>
<mo>+</mo>
<msup>
<mi>y</mi>
<mn>2</mn>
</msup>
</mrow>
<mrow>
<mi>k</mi>
<mo>+</mo>
<mn>1</mn>
</mrow>
</mfrac>
</mrow>
</math>

will produce:

x + y 2 k + 1

---

<math>
<mfrac>
<mi>d</mi>
<mi>d</mi>
</mfrac>
<mi>x</mi>
<mi>f</mi>
<mrow>
<mo>(</mo>
<mi>x</mi>
<mo>)</mo>
</mrow>
<mo>=</mo>
<munder>
<mo>lim</mo>
<mrow>
<mi>h</mi>
<mo>→</mo>
<mn>0</mn>
</mrow>
</munder>
<mfrac>
<mrow>
<mi>f</mi>
<mrow>
<mo>(</mo>
<mi>x</mi>
<mo>+</mo>
<mi>h</mi>
<mo>)</mo>
</mrow>
<mo>-</mo>
<mi>f</mi>
<mrow>
<mo>(</mo>
<mi>x</mi>
<mo>)</mo>
</mrow>
</mrow>
<mi>h</mi>
</mfrac>
</math>

will produce:

d d x f ( x ) = lim h → 0 f ( x + h ) - f ( x ) h