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「斑馬知識 挑戰」Remainder theorem 是否適用於 complex no,?
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最佳解答:
I think remainder theorem can also be applied to complex function. When a complex function f(z) is divided by g(z), there exists functions q(z) and r(z) such that f(z)=q(z)g(z)+r(z) and deg[r(z)]
其他解答:
「斑馬知識 挑戰」Remainder theorem 是否適用於 complex no,?
發問:
此文章來自奇摩知識+如有不便請留言告知
假設有一個以複數為系數的 polynomial： 圖片參考：http://i117.photobucket.com/albums/o61/billy_hywung/May08/Crazycmplx1.jpg 而 f(z) 的 domain 為 all complex numbers。 若 f(z) 被 (z - z0)，其中 z0 為某複數，remainder 是否 f(z0)？ 如是，請證明之。 如否，請提供至少一個 counter example。最佳解答:
I think remainder theorem can also be applied to complex function. When a complex function f(z) is divided by g(z), there exists functions q(z) and r(z) such that f(z)=q(z)g(z)+r(z) and deg[r(z)]
其他解答:
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