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Symmetry data and utilities related to crystallography and X-ray scattering
This paclet is for recreational mathematics and math puzzles
A set of functions to manipulate the unified model of Cellular Automata
3D models of optical elements
Quantile regression functions
Software monad for Quantile Regression workflows
Interpolate data with a monotonic piecewise cubic Hermite interpolant
Interpolate data with a cubic spline
Compute the Hermite decomposition of a matrix of univariate polynomials
Interpolate data using Akima's method or modifications of it
The derivative of a piecewise function with Indeterminate for points or regions where the function is not defined
Generate a quiz to assess understanding of geometrical transformations of cubics
Primitive polynomials for Galois field generation up to GF(2^1200), GF(3^660), GF(5^430), and GF(7^358)
Represent a Hermite–Gaussian beam and its properties
Get the Lucas cubic curve of a triangle
Evaluate a finite orthogonal polynomial series
Convert an InterpolatingFunction to a Piecewise representation
Evaluate the divided difference of a finite orthogonal polynomial series
Convert coefficients of a series with respect to one orthogonal polynomial basis into another
Generate the orthogonal polynomial Vandermonde matrix corresponding to a given vector
Generate a cubic B-spline curve that passes through given points
Solve an orthogonal polynomial Vandermonde linear system
Find a cubic plane curve that passes through nine given 2D points
Split a vector-valued piecewise function into a list of piecewise functions
Obtain an approximate solution to an ODE using the piecewise Frobenius method
Generate the Jacobi matrix corresponding to an orthogonal polynomial
Homogenize a polynomial with respect to a given set of variables
Compute the degree of a polynomial in any number of variables
Generate the comrade matrix corresponding to an orthogonal polynomial series
Get the polynomial with coefficients giving the number of nonisomorphic graphs for a given number of vertices
An auxiliary function for the resource function FrobeniusPiecewiseDSolve
Compute the Taylor polynomial of a given order of a function of one or several variables
Generate a polynomial with random terms
Evaluate a matrix polynomial
Generate an interactive graphical quiz on the plotting of cubic functions
Approximate a function with a polynomial
Return the fold that maps two points to two lines
Compute the Schett polynomial
Compute the Poincaré polynomial for a simplicial complex
Evaluate the divided difference of a polynomial
Compute the minimal polynomial of a square matrix
Calculate the log of an elementary symmetric polynomial
Compute the Smith decomposition of a matrix of univariate polynomials
Count the roots to a system of polynomials
Compute an approximate GCD to a pair of polynomials with approximate coefficients
Compute the dimension of a polynomial ideal
Get the total degree of a polynomial in any number of variables
Polynomial fit of a given set of data, represented as a spline curve
Generate a multivariate Taylor polynomial of a given total degree
Find an independently verifiable certificate proving that a polynomial system has no solutions
Compute and visualize the roots of fractional (noninteger) derivatives of polynomials
Calculate the coefficient of series P(x)/Q(x) in front of x^n, where P(x) and Q(x) are polynomials in x
Make a B-spline representation of a polynomial over an interval
Evaluate the piecewise spherical linear interpolant of given data
Find the parameterization of a curve that linearly connects a list of points
Evaluate the Gram polynomial
Plot cubic lattice crystallographic planes with h, k, l Miller indices
Evaluate the Schur polynomial corresponding to an integer partition
Determine the constant term in an expression
Evaluate a smooth step function based on exponentials
Map a function over the coefficients of a polynomial
Evaluate the Zolotarev polynomial
Evaluate the Schläfli polynomial
A generalized sigmoidal interpolating polynomial
Evaluate the Stieltjes-Jacobi polynomial
Evaluate the radial pseudo-Zernike polynomial
Compute the pseudoquotient and pseudoremainder with respect to a given variable for a pair of polynomials
Evaluate the Neumann polynomial
Evaluate the Lommel polynomial
Returns the coefficient matrix of a system of equations
Compute the Galois group for a polynomial
Compute the Popov decomposition of a matrix of univariate polynomials
Compute the Frobenius companion matrix of a polynomial
Integrate a rational function using partial fraction decomposition
Solve a linear system with multiple moduli
Get the polynomial degree of an algebraic number
Generate the tridiagonal companion matrix of a univariate polynomial
Algebraically rewrite an expression by completing the square
Return the graph specified in Lederberg–Coxeter–Fruchte notation
Generate a Krawtchouk matrix
Get a numerically sorted list of abscissa-weight pairs for generalized Gaussian quadrature
Use a piecewise function to create a helical path around a molecule for animation
Complete the square of a quadratic polynomial having any number of variables but with no mixed terms
Generate the Hurwitz matrix of a univariate polynomial
Prove or disprove a closed first-order formula in the theory of univariate mixed trigonometric polynomials
Generate the Schur matrix of a univariate polynomial
Plot a quadric surface, automatically determining the regions of interest, view direction and scaling
Construct an interpolating polynomial approximation of a function using the Padua points
Get a rational univariate representation for a general polynomial system
Numerically solve for isolated roots of a square system of polynomial equations using monodromy
Create a triangular set decomposition for a given list of polynomials and variables
Compute the GCD and successive quotients for a pair of Laurent polynomials
Obtain the canonical bases for selected spaces of matrices and functions
Generate the companion matrix for the Newton interpolating polynomial of a given set of points
Generate the Sylvester matrix of two univariate polynomials
Compute a partial fraction decomposition over the algebraic closure of the rationals
Evaluate the irregular solid harmonic function
Compute the Dixon resultant with respect to a set of polynomials and variables
Use Stauduhar's method for Galois groups of polynomials
Generate Padua points for bivariate interpolation and cubature
Generate a mesh region representing the tetrahelix
Smooth curve interpolation based on local procedures for a multiple-valued curve
Generate a quiz to assess understanding of geometrical transformations of quadratics
Interpolation and smooth curve fitting based on local procedures
Generate the Bézout matrix of two univariate polynomials
The Dixon elliptic functions in Mathematica
Classifies and plots any polynomial of degree two or less in two or fewer variables
Generate the generalized Fiedler companion matrix of a univariate polynomial
A collection of tools for Feynman diagrams in scalar field theories
Compute the BKK bound on the number of isolated complex solutions of a square polynomial system
Find all proper k-colorings of a specified graph
Construct a matrix whose eigenvalues lie on the Mandelbrot set boundary
Compute the control points of a Bézier curve that interpolates a given set of points
Compute a Groebner basis and a conversion matrix from the input polynomials to the basis
Give the incomplete partial fraction decomposition of a rational function
Evaluate the regular solid harmonic function
Solve a system of trigonometric or hyperbolic equations
Classify and plot any polynomial of degree two or less in three or fewer variables
Get the flow of an iterated function at a fixed point
Numerically integrate a function using the Padua points
A partial fraction decomposition with the Extension option
Find a rational interpolation of a function defined parametrically
Find an economized rational approximation to a function
Assign colors to vertices of a graph so that no edge connects vertices of the same color
Determine whether an expression represents a quadratic function of a given set of variables
Get the set of primitive nth roots of unity
Write a quadratic expression as a sum of squares by eliminating its mixed terms and then completing squares
Assign colors to edges of a graph so that no two adjacent edges have the same color
Smooth noisy data using local regression
Determine whether an expression represents a rational function of a given set of variables
Compute the Hosoya Z index of a graph
Compute the generic invariant of a group
Determine whether an expression represents a linear function of a given set of variables
Get the full list of complex nth roots of a number
Find a rational interpolation of a function
Compute the smallest number of colors needed in a proper edge coloring of a graph
Symmetric tridiagonal matrix for Gaussian quadrature
Find equations describing a linear recurrence corresponding to an input sequence
Obtain topological information of polymers or biopolymers and other simple or complex structures
Closed form of cos(2π/p) where p is a Fermat prime (3, 5, 17, 257, 65537) a la Gauss
Solve for a given quantity in a geometric scene
A minimal PythonObject configuration for the SciPy package
3D model of a fan disk component
Compute the half-GCD of a pair of integers
Interpolate data using polyharmonic splines
Solve rational linear system modulo the integers
Give a simple undirected graph a proper edge coloring using at most one color more than necessary
Compute the vertex chromatic number of a graph
Transfinite interpolation of functions representing boundary curves of a surface
The true Routh Hurwitz test and more
A sigmoidal interpolating rational function
Evaluate the integral of the complementary error function
Get the bialternate sum matrix of a square matrix
Make a monotonic InterpolatingFunction with continuous second derivative for monotonic data
Return a pseudorandom unimodular matrix
Compute a function of a square matrix
Find the null values and vectors for the pencil of a set of square matrices
Find a small solution to a system of linear equations over the integers
Denest nested radical expressions
Replace all occurrences of an algebraic subexpression with a new symbol
Count the number of distinct necklaces made with beads of different colors
Evaluate the Weber parabolic cylinder function U
Evaluate the Weber parabolic cylinder function V
Get the roots of a derivative for applying the Lucas–Gauss theorem on a set of points
Evaluate the Faddeeva function
Determine whether two orderless (undirected) hypergraphs are isomorphic
Find isomorphisms between two ordered (directed) hypergraphs
Find all isomorphisms between two orderless (undirected) hypergraphs
Determine whether two ordered (directed) hypergraphs are isomorphic
Perform interpolation in n-dimensional space for irregularly spaced data
Get a list of abscissas and weights for the numerical inverse Laplace transform
Perform matrix operations over a finite field
Fit a line through a set of points using the Theil–Sen estimator