Wolfram Resource System

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24 items

Paclet Resource:   TheRealCStover/Trigonometry

A collection of lesser-known circular and hyperbolic trig functions and their inverses

Paclet Resource:   KlausSutner/Automata

Automata theory package

Function Resource:   PrimitiveRootOfUnityList

Get the set of primitive nth roots of unity

Function Resource:   ComplexRoots

Get the full list of complex nth roots of a number

Function Resource:   ComplexRootQ

Determine if a given number is an integer complex root of another number

Function Resource:   UseRealRoots

Convert all nth roots in an expression, where n is an odd integer, to their real-valued nth roots

Function Resource:   PointsetDerivativeRoots

Get the roots of a derivative for applying the Lucas–Gauss theorem on a set of points

Function Resource:   FractionalDPolynomialRoots

Compute and visualize the roots of fractional (noninteger) derivatives of polynomials

Function Resource:   BKKRootBound

Compute the BKK bound on the number of isolated complex solutions of a square polynomial system

Function Resource:   CountPolynomialSolutions

Count the roots to a system of polynomials

Function Resource:   ScorerGiZero

Find zeros of the ScorerGi function

Function Resource:   RadicalDenest

Denest nested radical expressions

Function Resource:   NSolveByMonodromy

Numerically solve for isolated roots of a square system of polynomial equations using monodromy

Function Resource:   EisensteinIntegers

Support arithmetic operations for pairs of Eisenstein integers

Function Resource:   FloorSqrt

Find the integer square root of a positive integer

Paclet Resource:   ZigangPan/RouthHurwitz

The true Routh Hurwitz test and more

Function Resource:   CompanionMatrix

Compute the Frobenius companion matrix of a polynomial

Function Resource:   SIConstantConvert

Transform a unit into a product of constants

Function Resource:   VerifyMTP

Prove or disprove a closed first-order formula in the theory of univariate mixed trigonometric polynomials

Function Resource:   RootDegree

Get the polynomial degree of an algebraic number

Function Resource:   ComradeMatrix

Generate the comrade matrix corresponding to an orthogonal polynomial series

Function Resource:   BialternateProduct

Calculate the bialternate product of two square matrices

Function Resource:   BialternateSum

Get the bialternate sum matrix of a square matrix

Function Resource:   DVectorField

Generate the tensor associated with the nth derivative of a vector field at a point