工程數學一題~~~較簡單
2009-12-26 11:12 am
when a circle x^2+y^2=2x in a z=x+iy plane is conformal mapped into w=1/z.Find its resultant locus in the w=u+iv plane
回答 (1)
2009-12-26 5:15 pm
✔ 最佳答案
x+yi=z=1/w=(u-iv)/(u^2+v^2), |z|^2= 1/|w|^2x^2+y^2=2x => 1/(u^2+v^2)= 2u/(u^2+v^2), so, 2u=1 (a line parallel to v axis)
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原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20091226000015KK00979