query: Binomial basis of polynomial ring
positive_passages.docid: 39957
positive_passages.text: Product of binomial coefficient as a basis
negative_passages.docid: 72560
negative_passages.text: Eigenspace of the companion matrix of a monic polynomial
negative_passages.docid: 154487
negative_passages.text: Maximal number of monomials of multivariate polynomial
negative_passages.docid: 150911
negative_passages.text: Prove that the ring is Artinian and find a composition series of ideals
negative_passages.docid: 133495
negative_passages.text: Example of a ring without Invariant Basis Property
negative_passages.docid: 25290
negative_passages.text: Determine the number of irreducible monic polynomials of degree 3 in $\mathbb F_p[x]$
negative_passages.docid: 30401
negative_passages.text: Determining the structure of the quotient ring $\mathbb{Z}[x]/(x^2+3,p)$
negative_passages.docid: 78873
negative_passages.text: How to show that the monomials are not a Schauder basis for $C[0,1]$
negative_passages.docid: 89864
negative_passages.text: Units in finite polynomial rings
negative_passages.docid: 131366
negative_passages.text: Cyclotomic polynomial
negative_passages.docid: 89313
negative_passages.text: Maximal ideals of polynomial rings in infinitely many variables
negative_passages.docid: 117005
negative_passages.text: Rules in the ring with coefficients in finite field $\mathbb{F}_p$
negative_passages.docid: 129109
negative_passages.text: Is the set of polynomial with coefficients on $\mathbb{Q}$ enumerable?
negative_passages.docid: 31933
negative_passages.text: $x^2 = 1$ in the ring $\mathbb{Z}/n \mathbb{Z}$
negative_passages.docid: 119297
negative_passages.text: Finding invertible polynomials in polynomial ring $\mathbb{Z}_{n}[x]$
negative_passages.docid: 147667
negative_passages.text: Polynomial ring isomorphisms
negative_passages.docid: 158063
negative_passages.text: A formula for the roots of a solvable polynomial