3D基础

开启 3D 之旅

$$
Q = [x, y, z, w]^T = [u_x sin(frac{theta}{2}), u_y sin(frac{theta}{2}), u_z sin(frac{theta}{2}), cos(frac{theta}{2})]^T
$$

$$
frac{partial u}{partial t} = h^2 left( frac{partial^2 u}{partial x^2} + frac{partial^2 u}{partial y^2} + frac{partial^2 u}{partial z^2}right)
$$

$$
sum(x)
$$

$$
J_alpha(x) = sum_{m=0}^infty frac{(-1)^m}{m! Gamma (m + alpha + 1)} {left({ frac{x}{2} }right)}
$$

$$
f(x)=left{
begin{align}
x & = cos(t) \
y & = sin(t) \
z & = frac xy
end{align}
right}.
$$

$$
F^{HLLC}=left{
begin{array}{rcl}
F_L & & {0 < S_L} \
F^*_L & & {S_L leq 0 < S_M} \
F^*_R & & {S_M leq 0 < S_R} \
F_R & & {S_R leq 0}
end{array}
right}
$$

$$
f(x)=
begin{cases}
0& text{x=0} \
1& text{x!=0}
end{cases}
$$