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Coercive functions and polynomials

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#polynomials #metric-spaces
701
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Is there an analytic way of solving univariate polynomial equations in general?

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#abstract-algebra #analysis #polynomials
61
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Given $(x-1)^3+3(x-1)^2-2(x-1)-4=a(x+1)^3+b(x+1)^2+c(x+1)+d$, find$(a,b,c,d)$

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#polynomials
47
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Cancellation of a sum of a product of analytic functions

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#polynomials #analytic-functions
97
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Amann/Escher, Analysis I, Exercise I.12.12: Prove that $\triangle_{h}^{k} \in \operatorname{Hom}\left(\mathbb{K}_{m}[X], \mathbb{K}_{m-k}[X]\right)$

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#proof-verification #polynomials #vector-spaces #vector-space-isomorphism
302
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Observations Regarding Ostrogradsky's Method

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#integration #polynomials
120
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Choosing a constant value so that one of the roots is 2

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#polynomials #roots #cubics
685
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Remainder of multivariate division of polynomials

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#polynomials #sagemath #groebner-basis #multivariate-polynomial
63
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Finding the $n$th derivative of $y-(y+1)^x=0$ wrt $x$ evaluated at $x=0$

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#polynomials #approximation
132
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Product of List of Polynomials in Macaulay2

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#polynomials #symmetric-polynomials #computer-algebra-systems #macaulay2
43
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Wrong problem in Polynomials by Barbeau

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#algebra-precalculus #polynomials
1.5k
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Why can the characteristic polynomial be used to find eigenvalues?

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#linear-algebra #polynomials #eigenvalues-eigenvectors
125
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If $f$ is not primitive, then it is not irreducible?

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#abstract-algebra #polynomials #ring-theory #irreducible-polynomials
95
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Condition for Projective Variety

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#algebraic-geometry #polynomials #maximal-and-prime-ideals #groebner-basis #multivariate-polynomial
409
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The limit of a pointwise converging sequence of polynomial is smooth

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#real-analysis #polynomials #pointwise-convergence

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