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The author has 3 posts.

复数与平面向量间的相互转化

Floor 1 巨大八爪鱼 12/18/14 23:24
定义下列函数:
tvec(a + bi) = (a, b) 将复数转换为向量
tcom((a, b)) = a + bi 将向量转换为复数
Floor 2 巨大八爪鱼 12/18/14 23:40
以下是复数和向量间的运算的对应关系。
tvec(z1 + z2) = a + b
tvec(z1 - z2) = a - b
tvec(z1 × z2) = a ⊕ b
tvec(z²) = pow(a, 2)
tvec(√z) = pow(a, 0.5)
其中tvec(z1) = a = tvec z
tvec(z2) = b
pow也可以像log那样把第二个参数写成底数。
Floor 3 巨大八爪鱼 12/20/14 20:39
tvec(z1 ÷ z2) = a ⊙ b

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