旋轉矩陣(2)
Author: 藍邦偉　老師

$ 旋轉矩陣(2) $

n=

n=

k_2 = 1 (slider from 1 to 6, step 1)
m_2 = 1 (slider from -24 to 24, step 1)
m_1 = 1 (slider from -24 to 24, step 1)
k_1 = 1 (slider from 1 to 6, step 1)
list_1: {2, 3, 4, 6, 8, 12}
b = Element(list_1, k_2)
a = Element(list_1, k_1)
θ: (m_1 * π) / k_1
n = 1 (slider from 1 to 2012, step 1)
p: m_1 / a + m_2 / b
IB_n = Textfield(n)
Step = 0 (slider from 0 to 3, step 1)
t_{alpha}: "\alpha=\frac{" + (LaTeX[m_1]) + "\pi}{" + (LaTeX[a]) + "},β=\frac{" + (LaTeX[m_2]) + "}{" + (LaTeX[b]) + "}\pi"
text2: "$AB=\left [\begin{array}{cc}cos\frac{" + (LaTeX[m_1]) + "\pi}{" + (LaTeX[a]) + "} &-sin \frac{" + (LaTeX[m_1]) + "\pi}{" + (LaTeX[a]) + "} \\ sin\frac{" + (LaTeX[m_1]) + "\pi}{" + (LaTeX[a]) + "} & cos\frac{" + (LaTeX[m_1]) + "\pi}{" + (LaTeX[a]) + "} \\ \end{array}   \right ] \left [ \begin{array}{cc} cos\frac{" + (LaTeX[m_2]) + "\pi}{" + (LaTeX[b]) + "} &-sin \frac{" + (LaTeX[m_2]) + "\pi}{" + (LaTeX[b]) + "} \\ sin\frac{" + (LaTeX[m_2]) + "\pi}{" + (LaTeX[b]) + "} & cos\frac{" + (LaTeX[m_2]) + "\pi}{" + (LaTeX[b]) + "} \\ \end{array}  \right ] $
         $=\left [ \begin{array}{cc} cos(\frac{" + (LaTeX[m_1]) + "\pi}{" + (LaTeX[a]) + "}+\frac{" + (LaTeX[m_2]) + "\pi}{" + (LaTeX[b]) + "}) & -sin(\frac{" + (LaTeX[m_1]) + "\pi}{" + (LaTeX[a]) + "}+\frac{" + (LaTeX[m_2]) + "\pi}{" + (LaTeX[b]) + "}) \\ sin(\frac{" + (LaTeX[m_1]) + "\pi}{" + (LaTeX[a]) + "}+\frac{" + (LaTeX[m_2]) + "\pi}{" + (LaTeX[b]) + "}) & cos(\frac{" + (LaTeX[m_1]) + "\pi}{" + (LaTeX[a]) + "}+\frac{" + (LaTeX[m_2]) + "\pi}{" + (LaTeX[b]) + "}) \\ \end{array}  \right ] =\left [ \begin{array}{cc} cos" + (LaTeX[FractionText[m_1 / a + m_2 / b]]) + " \pi& -sin" + (LaTeX[FractionText[m_1 / a + m_2 / b]]) + "\pi\\ sin" + (LaTeX[FractionText[m_1 / a + m_2 / b]]) + " \pi& cos" + (LaTeX[FractionText[m_1 / a + m_2 / b]]) + "\pi \\ \end{array}  \right ]$ "
text3: "$=\left [ \begin{array}{cc} " + (LaTeX[cos(p * 3.14159)]) + " & " + (LaTeX[-sin(3.14159 * p)]) + " \\ " + (LaTeX[sin(p * 3.14159)]) + " & " + (LaTeX[cos(3.14159 * p)]) + " \\ \end{array}  \right ]   $"
text1: "$ A=\left [  \begin{array}{cc} cos\frac{" + (LaTeX[m_1]) + "\pi}{" + (LaTeX[a]) + "} & -sin\frac{" + (LaTeX[m_1]) + "\pi}{" + (LaTeX[a]) + "} \\ sin\frac{" + (LaTeX[m_1]) + "\pi}{" + (LaTeX[a]) + "}& cos\frac{" + (LaTeX[m_1]) + "\pi}{" + (LaTeX[a]) + "}\\ \end{array} \right ] ，B=\left [ \begin{array}{cc} cos\frac{" + (LaTeX[m_2]) + "\pi}{" + (LaTeX[b]) + "} & -sin\frac{" + (LaTeX[m_2]) + "\pi}{" + (LaTeX[b]) + "} \\ sin\frac{" + (LaTeX[m_2]) + "\pi}{" + (LaTeX[b]) + "} & cos\frac{" + (LaTeX[m_2]) + "\pi}{" + (LaTeX[b]) + "} \\ \end{array}  \right ]  $"