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Polynomial Rings
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Polynomial Rings
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Constructors for polynomial rings
Univariate Polynomials and Polynomial Rings
Univariate Polynomial Rings
Ring homomorphisms from a polynomial ring to another ring
Univariate Polynomial Base Class
Univariate Polynomials over domains and fields
Univariate Polynomials over GF(2) via NTL’s GF2X.
Univariate polynomials over number fields.
Dense univariate polynomials over
\(\ZZ\)
, implemented using FLINT.
Dense univariate polynomials over
\(\ZZ\)
, implemented using NTL.
Univariate polynomials over
\(\QQ\)
implemented via FLINT
Dense univariate polynomials over
\(\ZZ/n\ZZ\)
, implemented using FLINT.
Dense univariate polynomials over
\(\ZZ/n\ZZ\)
, implemented using NTL.
Dense univariate polynomials over
\(\RR\)
, implemented using MPFR
Polynomial Interfaces to Singular
Base class for generic
\(p\)
-adic polynomials
p-adic Capped Relative Dense Polynomials
p-adic Flat Polynomials
Univariate Polynomials over GF(p^e) via NTL’s ZZ_pEX.
Isolate Real Roots of Real Polynomials
Isolate Complex Roots of Polynomials
Ideals in Univariate Polynomial Rings.
Quotients of Univariate Polynomial Rings
Elements of Quotients of Univariate Polynomial Rings
Polynomial Compilers
Polynomial multiplication by Kronecker substitution
Multivariate Polynomials and Polynomial Rings
Term orders
Base class for multivariate polynomial rings
Base class for elements of multivariate polynomial rings
Multivariate Polynomial Rings over Generic Rings
Generic Multivariate Polynomials
Ideals in multivariate polynomial rings.
Polynomial Sequences
Multivariate Polynomials via libSINGULAR
Direct low-level access to SINGULAR’s Groebner basis engine via libSINGULAR.
PolyDict engine for generic multivariate polynomial rings
Infinite Polynomial Rings
Infinite Polynomial Rings.
Elements of Infinite Polynomial Rings
Symmetric Ideals of Infinite Polynomial Rings
Symmetric Reduction of Infinite Polynomials
Laurent Polynomials and Polynomial Rings
Ring of Laurent Polynomials
Elements of Laurent polynomial rings
Boolean Polynomials
Implementation specific notes
Access to the original PolyBoRi interface
Educational Versions of Groebner Basis and Related Algorithms
Educational Versions of Groebner Basis Algorithms.
Educational Versions of Groebner Basis Algorithms: Triangular Factorization.
Educational version of the
\(d\)
-Groebner Basis Algorithm over PIDs.
Generic Convolution
Fast calculation of cyclotomic polynomials
Noncommutative Polynomials via libSINGULAR/Plural
Indices and Tables
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Index
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