基本公式
[latexmath]
++++
\[ 0 \le b, g, r, \alpha \le 1 \]
++++
[latexmath]
++++
\[ \forall (b,g,r) \in (\hat{I}_1, \hat{I}_2, O): 0 \le b, g, r \le 1 \]
++++
\[ 0 \le b, g, r, \alpha \le 1 \]
\[ \forall (b,g,r) \in (\hat{I}_1, \hat{I}_2, O): 0 \le b, g, r \le 1 \]
行内公式
有latexmath:[$c = (c_r, r_g, c_b), k = (k_r, k_g, k_b)$],则。。。
有\(c = (c_r, r_g, c_b), k = (k_r, k_g, k_b)\),则。。。
换行-begin{array}
[latexmath]
++++
\[\begin{array}{c}
I_1 &= O * A + BG_1 * (1 - A) \\
I_2 &= O * A + BG_2 * (1 - A) \\
\end{array}\]
++++
\[\begin{array}{c}
I_1 &= O * A + BG_1 * (1 - A) \\
I_2 &= O * A + BG_2 * (1 - A) \\
\end{array}\]
复杂示例
[latexmath]
++++
\[
\begin{array}{c}
\nabla \times \vec{\mathbf{B}} -\, \frac1c\, \frac{\partial\vec{\mathbf{E}}}{\partial t} &
= \frac{4\pi}{c}\vec{\mathbf{j}} \nabla \cdot \vec{\mathbf{E}} & = 4 \pi \rho \\
\nabla \times \vec{\mathbf{E}}\, +\, \frac1c\, \frac{\partial\vec{\mathbf{B}}}{\partial t} & = \vec{\mathbf{0}} \\
\nabla \cdot \vec{\mathbf{B}} & = 0
\end{array}
\]
++++
\[
\begin{array}{c}
\nabla \times \vec{\mathbf{B}} -\, \frac1c\, \frac{\partial\vec{\mathbf{E}}}{\partial t} &
= \frac{4\pi}{c}\vec{\mathbf{j}} \nabla \cdot \vec{\mathbf{E}} & = 4 \pi \rho \\
\nabla \times \vec{\mathbf{E}}\, +\, \frac1c\, \frac{\partial\vec{\mathbf{B}}}{\partial t} & = \vec{\mathbf{0}} \\
\nabla \cdot \vec{\mathbf{B}} & = 0
\end{array}
\]
[latexmath]
++++
\[\begin{aligned} \\
\alpha' &= 1 - \cfrac{b'_o \cdot b_b + g'_o \cdot g_b + r'_o \cdot r_b}{b_b^2 + g_b^2 + r_b^2} \\
&= 1 - \cfrac{
\sum\limits_{c=b, g, r} (A + B_1 c_{out1} - B_2 c_{out2}) c_b
}{b_b^2 + g_b^2 + r_b^2} \\
&= 1 - \cfrac{
A(b_b+g_b+r_b)+
\sum\limits_{c=b, g, r} (B_1 c_{out1} - B_2 c_{out2}) c_b
}{b_b^2 + g_b^2 + r_b^2} \\
&= 1 - \cfrac{
A(b_b+g_b+r_b)+
\sum\limits_{c=b, g, r} (B_1 c_{out1} - B_2 c_{out2}) c_b
}{b_b^2 + g_b^2 + r_b^2} \\
&= 1 - A \cfrac{b_b+g_b+r_b}{b_b^2 + g_b^2 + r_b^2} + \cfrac{1}{b_b^2 + g_b^2 + r_b^2}
\sum\limits_{c=b, g, r} (B_1 c_{out1} - B_2 c_{out2}) c_b \\
\end{aligned}\]
++++
\[\begin{aligned} \\
\alpha' &= 1 - \cfrac{b'_o \cdot b_b + g'_o \cdot g_b + r'_o \cdot r_b}{b_b^2 + g_b^2 + r_b^2} \\
&= 1 - \cfrac{
\sum\limits_{c=b, g, r} (A + B_1 c_{out1} - B_2 c_{out2}) c_b
}{b_b^2 + g_b^2 + r_b^2} \\
&= 1 - \cfrac{
A(b_b+g_b+r_b)+
\sum\limits_{c=b, g, r} (B_1 c_{out1} - B_2 c_{out2}) c_b
}{b_b^2 + g_b^2 + r_b^2} \\
&= 1 - \cfrac{
A(b_b+g_b+r_b)+
\sum\limits_{c=b, g, r} (B_1 c_{out1} - B_2 c_{out2}) c_b
}{b_b^2 + g_b^2 + r_b^2} \\
&= 1 - A \cfrac{b_b+g_b+r_b}{b_b^2 + g_b^2 + r_b^2} + \cfrac{1}{b_b^2 + g_b^2 + r_b^2}
\sum\limits_{c=b, g, r} (B_1 c_{out1} - B_2 c_{out2}) c_b \\
\end{aligned}\]