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【公式】复数的开平方计算公式

Floor 1 魔法绿骑士 7/11/11 20:01
Floor 2 魔法绿骑士 7/11/11 20:02
Floor 3 魔法绿骑士 7/11/11 20:07
注意1楼的公式中,x和y分别表示计算结果的实数部分和虚数部分
Floor 4 yaoliding 8/5/11 22:26

令z_1=r*e^iθ,z_2=x+yi(x,y是实数,r是正数,-pi<θ<=pi)

那么z_1^z_2=r^x*r^yi*e^ixθ*e^(-yθ)

=e^(xlnr-yθ)*e^i(xθ+ylnr)

所以|z_1^z_2|=e^(xlnr-yθ);z_1^z_2辐角为xlnr-yθ

Floor 5 221.236.36.* 8/8/11 8:13

回复:4楼

。。。

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