Gauss Lucas theorem:Gauss
Gauss
2022年9月21日—Theorem.LetPbeanon-constantpolynomialinC.ThenallzeroesofitsderivativeP′belongtotheconvexhullofthesetofzeroesofP.。其他文章還包含有:「Gauss–Lucastheorem」、「TheGauss–LucasTheorem」、「Gauss」、「說明」、「SOMEAPPLICATIONSOFTHEGAUSS」、「UnderstandingaproofofGauss」、「Mathematics」、「ArefinementoftheGauss–Lucastheorem(afterW.P....」、「[2112.00110]TheGauss」
查看更多 離開網站Gauss–Lucas theorem
https://en.wikipedia.org
The Gauss–Lucas Theorem
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The Gauss–Lucas theorem says that for any complex poly- nomial , the roots of the derivative ′ lie in the convex hull of the roots of .
Gauss
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Gauss-Lucas theorem proof ... The Gauss-Lucas Theorem states that: All the critical points of a non-constant polynomial f (i.e. the roots of f′ ) ...
說明
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SOME APPLICATIONS OF THE GAUSS
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series. The Gauss-Lucas Theorem. The zeros of the derivative of a non-constant polynomial P lie in the convex ...
Understanding a proof of Gauss
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According to a proof of Gauss-Lucas theorem from wikipedia, a logarithmic derivative of polynomial P(z) is P′(z)P(z)=n∑i=11z−zi=n∑i=1¯z−¯zi| ...
Mathematics
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The theorem states that the roots of P' all lie within the convex hull of the roots of P, that is the smallest convex polygon containing the ...
A refinement of the Gauss–Lucas theorem (after W.P. ...
https://www.sciencedirect.com
The following theorem by Gauss and rediscovered by Lucas describes a beautiful relationship between the roots of a polynomial and the roots of its derivative.
[2112.00110] The Gauss
https://arxiv.org
Abstract:The Gauss-Lucas theorem says that for any complex polynomial P, the roots of the derivative P' lie in the convex hull of the roots ...