Math Examples

CSS3 styling of math

$C^{\infty} -fns, e = m c^{2}, e^{π i} = - 1, w = x^{(y^{z})}, x = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}, \frac{x^{2}}{2 x^{3} - 4 x + 1}$ $x_{m_{k}} = {x_{n_{j}}}^{1 ⁄ 2}, \sqrt[3]{\frac{α ξ + β}{γ ξ + δ}}, n^{2} \equiv 1 (mod 4) if n \equiv \pm 1 (mod 2), Δ A B C ≅ Δ D E F$ $r = ||x|| = \sqrt{{x_{1}}^{2} + {x_{2}}^{2} + \dots + {x_{n}}^{2}}, \frac{1 + \sqrt{5}}{2} = 1 + \frac{1}{1 + \frac{1}{1 + \frac{1}{1 + \dots}}} = \sqrt{1 + \sqrt{1 + \sqrt{1 + \sqrt{1 + \sqrt{1 + \dots}}}}}$ $x^{2} y^{2}, M \mapsto {}^{t}M^{- 1} has order 2 in {GL}_{n} (R), {}_{2}F_{3}, z = x + y^{(\frac{2}{k + 1})}, \frac{a}{b ⁄ 2}, (\binom{n}{k ⁄ 2})$ ${(\frac{a}{b})}^{\frac{1}{2}}, \sqrt{\frac{a}{b}}, \sqrt{\frac{\frac{a}{b}}{\frac{c}{d}}}, e^{t} = \sum_{k = 0}^{\infty} \frac{t^{k}}{k!}, \sin a x \cos b x, \int \int_{S} (curl F \cdot N) d σ = \int_{\partial S} (F \cdot T) d s$ ${(1 + t)}^{r} = \sum_{k = 0}^{\infty} \frac{r (r - 1) (r - 2) \dots (r - k + 1)}{k!} t^{k}, D^{2} y - 3 x {(D y)}^{2} = x \cos x$ $f (x) = \{\begin{matrix} 1 ⁄ 3 & if 0 \leq x \leq 1 \\ 2 ⁄ 3 & if 3 \leq x \leq 4 \\ 0 & elsewhere \end{matrix}, \begin{matrix} 0 & \to & A^{'} & \to & A & \to & A^{''} & \to & 0 \\ ↓ & ↓ & ↓ \\ 0 & \to & B^{'} & \to & B & \to & B^{''} & \to & 0 \end{matrix}$ $(\frac{\partial^{2}}{\partial x^{2}} + \frac{\partial^{2}}{\partial y^{2}}) {|φ (x + i y)|}^{2} = 0, {}_{b}^{a}{Hom}_{c}^{d} (X, Y), X \overset{f}{⟶} Y, X \underset{f}{⟶} Y, \overset{A}{X}, \underset{A}{X}, Gal (\bar{Q} ⁄ Q)$ $\bar{X} \overset{˘}{X} \overset{ˇ}{X} \dot{X} \ddot{X} \hat{X} \tilde{X} \overset{⇀}{X}, T_{j_{1} j_{2} \dots j_{q}}^{i_{1} i_{2} \dots i_{p}}, E_{2}^{p q} = H^{p} (B, H^{q} (F)) \Rightarrow H^{*} (X)$ $\frac{1}{1 + \frac{e^{- 2 π \sqrt{5}}}{1 + \frac{e^{- 4 π \sqrt{5}}}{1 + \frac{e^{- 6 π \sqrt{5}}}{\dots}}}} = (\frac{\sqrt{5}}{1 + \sqrt[5]{5^{3 ⁄ 4} {(\frac{\sqrt{5} - 1}{2})}^{5 ⁄ 2} - 1}} - \frac{\sqrt{5} + 1}{2}) e^{2 π ⁄ \sqrt{5}} (Ramanujan)$