三角函数两角和差公式

矢量和矩阵的运算

x y z + f = x + f y + f z + f

示例显示了 + 操作符的效果，-、*、/ 操作符的效果也相同

x y z + a b c = x + a y + a z + a

示例显示了 + 操作符的效果，-、*、/ 操作符的效果也相同

a d g b e h c f i + ff = a + ff d + ff g + ff b + ff e + ff h + ff c + ff f + ff i + ff

示例显示了 + 操作符的效果，-、*、/ 操作符的效果也相同

a d g b e h c f i \times x y z = a x + b y + cz d x + ey + f z gx + h y + i z

x y z \times a d g b e h c f i = x a + y d + z g x b + ye + z h x c + y f + z i

A = a_{00} a_{10} a_{20} a_{01} a_{11} a_{21} a_{02} a_{12} a_{22}, B = b_{00} b_{10} b_{20} b_{01} b_{11} b_{21} b_{02} b_{12} b_{22}

则 $A \times B =$ ：

a_{00} \times b_{00} + a_{01} \times b_{10} + a_{02} \times b_{20} a_{10} \times b_{00} + a_{11} \times b_{10} + a_{12} \times b_{20} a_{20} \times b_{00} + a_{21} \times b_{10} + a_{22} \times b_{20} a_{00} \times b_{01} + a_{01} \times b_{11} + a_{02} \times b_{21} a_{10} \times b_{01} + a_{11} \times b_{11} + a_{12} \times b_{21} a_{20} \times b_{01} + a_{21} \times b_{11} + a_{22} \times b_{21} a_{00} \times b_{02} + a_{01} \times b_{12} + a_{02} \times b_{22} a_{10} \times b_{02} + a_{11} \times b_{12} + a_{12} \times b_{22} a_{20} \times b_{02} + a_{21} \times b_{12} + a_{22} \times b_{22}