Proof Wiki Visual Guide

Orbit-Stabilizer Theorem

| Orb (x) | = | G : Stab (x) | = \frac{| G |}{| Stab (x) |}

f (a) = \frac{1}{2 π i} \oint_{γ} \frac{f (z)}{z - a} d z

\begin{aligned} Γ_{11}^{1} & = \frac{G E_{u} - 2 F F_{u} + F E_{v}}{2 (E G - F^{2})} & Γ_{11}^{2} & = \frac{2 E F_{u} - E E_{v} - F E_{u}}{2 (E G - F^{2})} \\ Γ_{12}^{1} & = \frac{G E_{v} - F G_{u}}{2 (E G - F^{2})} & Γ_{12}^{2} & = \frac{E G_{u} - F E_{v}}{2 (E G - F^{2})} \\ Γ_{22}^{1} & = \frac{2 G F_{v} - G G_{u} - F G_{v}}{2 (E G - F^{2})} & Γ_{22}^{2} & = \frac{E G_{v} - 2 F F_{v} + F G_{u}}{2 (E G - F^{2})} . \end{aligned}

\oint_{\partial Σ} 𝐁 \cdot d ℓ = μ_{0} (\iint_{Σ} 𝐉 \cdot d 𝐒 + ε_{0} \frac{d}{d t} \iint_{Σ} 𝐄 \cdot d 𝐒)

𝔽_{2} [a] / a^{n + 1} = H^{*} ({ℝ ℙ}^{n}; 𝔽_{2}) \leftarrow H^{*} ({ℝ ℙ}^{n - 1}; 𝔽_{2}) = 𝔽_{2} [b] / b^{n}

𝔤 \supseteq [𝔤, 𝔤] \supseteq [[𝔤, 𝔤], 𝔤] \supseteq [[[𝔤, 𝔤], 𝔤], 𝔤] \supseteq \dots