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Perform analytic and numeric quantum computations
Integrate git functionality into the Wolfram Language
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
Various simple matrix decompositions algorithms and support functions
Dimension reduction algorithms
Test whether a permutation equals its inverse
Count the number of pairs of out-of-order elements in a permutation
Compute the inverse Fibonacci function
Evaluate the inverse of a tridiagonal matrix
Get the complement of a permutation
Compute the radical inverse of an integer to a given base
Inverse of the Boole function
Compute the permutation graph of a permutation
Find the solution of the Josephus problem
Compute the inverse factorial of a strictly positive integer by solving the gamma function for a specific value
Get character permutations for a string
Get permutations that satisfy a certain criterion
Get even permutations of a list
Get the two Young tableaux corresponding to a permutation
Give the lexicographic index of a permutation
Compute the major index of a permutation
Get all signed permutations of a list
Get a permutation corresponding to two Young tableaux
Evaluate the inverse function of EllipticE
Give the indices of a permutation where there is an immediate ascent
Get the number of permutations having a specified length and number of inversions
Get the next permutation in lexicographic order
Determine whether a permutation is an alternating permutation
Get permutations of the key-value pairs in an Association
Determine whether a permutation is a Baxter permutation
Find a function with a given Fourier exponential series
A graph representing cycles and fixed points of a permutation
Construct a list of permutations so that successive permutations differ by exactly one transposition
Compute the parametrization of a curve projected onto the unit sphere
Calculate the number of permutations of the specified cycle length counts
Compute the skew sum of permutation lists
Compute the direct sum of permutation lists
Find all permutations of lists with non-unique elements
Find the permutation that maximizes a function
This paclet is some basic utility functions
Find a numerical approximation for the inverse Fourier transform
Invert a zero-frequency shift
Give the permutation corresponding to a given length and lexicographic index
Determine whether a permutation is a reverse alternating permutation
Find a permutation that minimizes a matrix sum
Find the integer corresponding to a given Gray code
Generate a set of permutations for Jacobi identities of arbitrary order
Find a numerical approximation for a function with a given Fourier exponential series
Find a numerical approximation for an inverse Fourier sine transform
List the possible cycle length counts of permutations of a given length
Find the numerical approximation for the inverse Laplace transform
Create the Lehmer code corresponding to a given permutation
Find a numerical approximation for an inverse Fourier cosine transform
Calculate the number of standard deviations of a normal distribution that correspond to a confidence level
Find a numerical approximation to the inverse Fourier sequence transform of a periodic function
Count the number of cycles for all possible cycle lengths in a permutation
Show the graceful graph corresponding to a given permutation
Construct the permutation list corresponding to the given inversion vector
A partial inverse for Thread
Combinatorics functions for subsets, tuples, and permutations
Combinatorics functions for subsets, tuples, and permutations
Find up to a specified number of isomorphisms between two permutation groups
Evaluate the inverse tangent integral
Compute the inverse cotangent of a number and return a result in degrees
Compute the inverse cosine of a number and return a result in degrees
Compute the inverse sine of a number and return a result in degrees
Compute the inverse secant of a number and return a result in degrees
Compute the inverse cosecant of a number and return a result in degrees
Compute the inverse tangent of a number and get a result in degrees
Generalize Ordering by giving alternative orderings if there are equal items
List permutations comprised only of cycles of size two or less
Compute the inversion of a curve
Perform interpolation in n-dimensional space for irregularly spaced data
Compute the stereographic projection from the unit sphere to a plane
Find a random derangement of the numbers 1 through n
Compute common measures of ecological α-diversity on a dataset of species abundance by site
Determine how many shuffles restore the list of specified size to its original order
Return a canonical rotation for a list of values
Get a list of abscissas and weights for the numerical inverse Laplace transform
A collection of lesser-known circular and hyperbolic trig functions and their inverses
Get the number of permutations with a given number of ascents
Test whether a permutation is a derangement
Design locally optimal and globally inverse optimal controllers for nonlinear system under perfect state measurement
Recover a Jacobi matrix from a list of abscissa-weight pairs
Compute the Schett polynomial
Find a numerical approximation for a Fourier transform
Transpose a Young tableau
Get the inversion vector of a permutation written as a list
Generate a commutation matrix
Determine the iterated logarithm of an input
Split a list at its left-to-right maxima
Check if a list is the inversion vector of a permutation written as a list
Compute a group induced by a permutation group on k-subsets
Enumerate all isomorphisms given a configuration of a Steiner triple system (2, 3, 7) on the Fano plane
Generate a VerificationTest file for all permutations of arguments
Get a cofactor of a matrix
Find a numerical approximation for a Fourier exponential series coefficient of a function
Find a numerical approximation for an exponential Fourier series expansion of a function
Get the binary iterated logarithm of a positive number
Find a numerical approximation for a Fourier cosine transform
Find a numerical approximation for a Fourier sine transform
Find a numerical approximation for a trigonometric Fourier series expansion of a function
Find a numerical approximation for a Fourier sine coefficient of a function
Find a numerical approximation for a Fourier cosine coefficient of a function
Find a numerical approximation of a series expansion of a function
Express FoxH in terms of MeijerG whenever applicable
Give the matrix of cofactors for a given input matrix
Find a numerical approximation of a residue of an expression around the specified point
Get the orientation of a simplex
Find an undirected graph whose automorphism group is isomorphic to the given group
Nonlinear Cholesky Factorization for MIMO nonlinear systems
Find the rank of each of the items in a list
Simulate a knight's tour in a recursive manner
Determine the injectivity and surjectivity of a function
Expand a function into a factorial series
Rearrange elements of a list
Compute the shape operator on a surface
Calculates straight lines which collectively approximate a given image
Compute the discrete Hilbert transform of a list
Model reference robust adaptive control design for MIMO LTI systems
This is a paclet on nonlinear systems with the ultimate goal of robust MRAC for linear systems
Work with logical functions and boolean values
A few robust backstepping tools
This Paclet is on LTI systems for the ultimate goal of a robust MRAC for minimum phase linear systems
This Paclet is for LQR, LQG, LEQG, and H-infinity Control design
Robust MRAC design for minimum phase composite system that consists of parallel interconnected MIMO LTI systems
Determine if a linear system has a solution
List all possible partitions of a list into disjoint pairs
Find derangements for a multiset
Compute the hyperdeterminant for a given hypermatrix (a multidimensional array of complex numbers)
Get a count of Young tableaux for a given size or shape
Determine if a list of values forms a Young tableau
Enumerate all standard Young tableaux of a given shape
Transform an image to appear as in a medical CT scan
A symbolic version of the Fourier function
Compute the loxodrome distance between two points on a unit sphere
Compute the generic invariant of a group
Give all the ways the numbers 1, 2, …, n can be scrambled completely
Generate a trig series that approximates a list of data
Perform an out shuffle on a list
Perform an in shuffle on a list
Compute numerically the Choquet integral of a function with respect to a probability distribution
Compute the discrete Hartley transform of a list
Evaluate the Carleman matrix of a function
Get a congruent integer for a given fraction and modulus
Create Gaussian and Laplacian pyramids to facilitate efficient multiscale image processing
Compute the minimal polynomial of a square matrix
Compute the number-theoretic transform of a list of integers
Compute the Kullback–Leibler divergence between two multinormal distributions
Get a point belonging to the Faure sequence
Create a fast Fourier transform calculation in graphical form
Split and merge two images at different scales using image pyramids
Evaluate Bulirsch's incomplete elliptic integral of the first kind
Simulate an arbitrary (potentially commutative) semigroup as a multiway system
Simulate an arbitrary (potentially abelian) group as a multiway system
Simulate an arbitrary (potentially commutative) monoid as a multiway system
Compute the projection matrix for a given vector space
Compute properties of the row space of a matrix
Compute properties of the column space of a matrix
Create a Gaussian image pyramid for zooming into a large image
Use a color deconvolution algorithm to separate a microscopy image of stained tissue samples
Perform matrix operations over a finite field
Impose the spectral envelope of a modulator signal onto a carrier
Obtain and visualize the frequency response of a 2D moving-average filter
Create hand drawings of objects in images using Fourier of contour points
Use Stauduhar's method for Galois groups of polynomials
Compute the nullity of a matrix
Compute the quadratic residues of an integer