Test Math Renderer

2022-05-10

Test $K A T E X$ renderer.

Mathematics

Euler formula

e^{iπ} + 1 = 0

Gauss law

∭_{D} \nabla \cdot F d V = \iint_{S} F \cdot n d σ

Fourier series

f (x) = \frac{a _{0}}{2} + n = 1 \sum \infty (a_{n} cos \frac{nπ x}{L} + b_{n} sin \frac{nπ x}{L})

Physics

Gravity

R_{μν} - \frac{1}{2} g_{μν} R = \frac{8 π G}{c ^{4}} T_{μν}

Standard Model

L = - \frac{1}{4} F_{μν} F^{μν} + i \overset{ˉ}{ψ} D ψ + h.c. + ψ_{i} y_{ij} ψ_{j} ϕ + h.c. + ∣ D_{μ} ϕ ∣^{2} - V (ϕ)

Nuclear reaction

p-p I

X_{1} X_{2}^{21} H + X_{1} X_{2}^{21} H X_{2} X_{2}^{22} D + X_{1} X_{2}^{21} He X_{3} X_{2}^{23} He + X_{3} X_{2}^{23} He X_{2} X_{2}^{22} D + e X^{+} + ν X_{e} X_{3} X_{2}^{23} He + γ X_{4} X_{2}^{24} He + X_{1} X_{2}^{21} H + X_{1} X_{2}^{21} H

Uranium fission

n + X_{235} X_{2}^{2235} U X_{114} X_{2}^{2114} Ba + X_{89} X_{2}^{289} Kr + 3 n + 200 Mev

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