]> MathML test

MathML test

My personal MathML test suite. To view the expressions as intended, you need Mozilla and some special fonts.

Pressing and holding the mouse button within, but at the fringes of, the gray, dashed borders should "zoom" the equations.

Here, have a screenshot.

Quadratic formula

$a x^{2} + b x + c = 0$
$x^{2} + \frac{b}{a} x + \frac{c}{a} = 0$
$x^{2} + \frac{b}{a} x = - \frac{c}{a}$
$x^{2} + 2 \times x \times \frac{b}{2 a} = - \frac{c}{a}$
$x^{2} + 2 \times x \times \frac{b}{2 a} + {(\frac{b}{2 a})}^{2} = - \frac{c}{a} + {(\frac{b}{2 a})}^{2}$
${(x + \frac{b}{2 a})}^{2} = - \frac{c \times 4 a}{a \times 4 a} + \frac{b^{2}}{{4 a}^{2}}$
$x + \frac{b}{2 a} = \sqrt{\frac{b^{2} - 4 a c}{{4 a}^{2}}}$
$x + \frac{b}{2 a} = \sqrt{\frac{b^{2} - 4 a c}{{4 a}^{2}}}$
Vs.
$x + \frac{b}{2 a} = - \sqrt{\frac{b^{2} - 4 a c}{{4 a}^{2}}}$
$x = - \frac{b}{2 a} + \frac{\sqrt{b^{2} - 4 a c}}{2 a}$
Vs.
$x = - \frac{b}{2 a} - \frac{\sqrt{b^{2} - 4 a c}}{2 a}$
$x = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}$

f' (x) = lim_{Δ x \to 0} \frac{f (x + Δ x) - f (x)}{Δ x}

(\binom{n}{r}) = \frac{n \times (n - 1) \times (n - 2) \times … \times (n - r + 1)}{1 \times 2 \times 3 … \times r} = \frac{n!}{r! (n - r)!}

P (k elements from D) = \frac{(\binom{m}{k}) (\binom{n - m}{r - k})}{(\binom{n}{r})}

A = (x_{1}, y_{1})

B = (x_{2}, y_{2})

A B = |\vec{A B}| = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}

\vec{u} + \vec{v} = [x_{1}, y_{1}] + [x_{2}, y_{2}] = (x_{1} \times \vec{e_{x}} y_{1} \times \vec{e_{y}}) + (x_{2} \times \vec{e_{x}} y_{2} \times \vec{e_{y}}) = (x_{1} + x_{2}) \vec{e_{x}} + (y_{1} + y_{2}) \vec{e_{y}} = [x_{1} + x_{2}, y_{1} + y_{2}]

Sexy-looking equations that I don't know how to use or why work.

\int_{a}^{b} f (x) dx = lim_{n \to ∞} \sum_{i = 1}^{n} f (x_{i}) \times Δ x = lim_{n \to ∞} (f (x_{1}) \times Δ x + f (x_{2}) \times Δ x + … + f (x_{n}) \times Δ x)