Wolfram/QuantumFramework

Perform analytic and numeric quantum computations

  Wolfram/Patterns

Utilities for working with patterns

  WolframExternalFunctions/GSLLink

GSLLink is a package that provides a link to the GNU Scientific Library (GSL) from the Wolfram Language

  StianRamsnes/MaXrd

Symmetry data and utilities related to crystallography and X-ray scattering

  RobertNachbar/CompartmentalModeling

Build, visualize, analyze, and simulate compartmental models

  PeterBurbery/MixedGraphs

A collection of mixed graph functionality

  Obando/CAGenetics

A set of functions to manipulate the unified model of Cellular Automata

  KlausSutner/Automata

Automata theory package

  JaneShenGunther/TCGADataTool

TCGA Data Tool retrieves TCGA cancer datasets easily from the NCI GDC and TCIA portals

  AntonAntonov/TriesWithFrequencies

Functions for creation and manipulation of tries (prefix trees) with frequencies

  AntonAntonov/SSparseMatrix

Sparse matrices with named columns and rows

  AntonAntonov/MosaicPlot

Mosaic plots for datasets and lists of records

  AntonAntonov/MonadicSparseMatrixRecommender

A software monad for Sparse Matrix Recommender (SMR) workflows

  AntonAntonov/JavaTriesWithFrequencies

WL interface to Tries with frequencies implemented in Java

  AntonAntonov/DataReshapers

Data reshaping functions

  RiemannSum

Compute information related to a Riemann sum

  InactiveRiemannSumToIntegral

Determine an integral corresponding to a Riemann sum

  RiemannTensor

Represent the Riemann curvature tensor (field) for a Riemannian or pseudo-Riemannian manifold

  IntegralApproximationPlot3D

Compute and plot an approximation to the integral of a function of two variables over a rectangle

  DiscreteIntegralPlot

Plot and find the area of a region determined by a list of points, the x axis and the type of boundary

  NumericalIntegralApproximation

Determine the value of an integral using a numerical method

  MultisetSum

Perform the sum operation on multisets

  RiemannSphereComplexPlot

A 3D rotatable Riemann sphere version of ComplexPlot

  SequenceToSum

Turn a sequence of expressions into a symbolic sum

  SumRule

See how to apply the sum rule for derivatives

  WenigerSum

Evaluate an infinite sum using the Weniger transformation

  BialternateSum

Get the bialternate sum matrix of a square matrix

  CRVZSum

Evaluate an alternating sum using the Cohen-Rodriguez Villegas-Zagier method

  SumBasis

Find a basis for the sum of a list of subspaces of ℝ^n

  DigitSum

Find the sum of digits in the positional representation of an integer

  IntegralApproximationPlot

Compute and plot the approximation to the integral of a function on an interval

  LevinSum

Evaluate an infinite sum using the Levin transformation

  InactiveSumOfPowers

Express an integer as a sum of one or more integer powers

  ConsecutiveSquareSum

Find integers representable as the sum of consecutive squares

  RiemannSurfacePlot3D

Plot Riemann surfaces of compositions of elementary functions

  PermutationSkewSum

Compute the skew sum of permutation lists

  PermutationDirectSum

Compute the direct sum of permutation lists

  MinSumPermutation

Find a permutation that minimizes a matrix sum

  NearestKroneckerProductSum

Approximate a numerical matrix as sum of Kronecker products

  LogSumExp

Numerically stable implementation of addition on log-scaled numbers

  LogSumExpLayer

Neural network layer that implements the LogSumExp operation on any level

  OrthogonalPolynomialSum

Evaluate a finite orthogonal polynomial series

  NEigenvalueSumGradient

Numerically evaluate the gradient of a function summed over the eigenvalues of a matrix, with respect to matrix parameters

  AntidiagonalTotals

Give the totals of the entries on the rising diagonals of a square matrix

  RamanujanC

Evaluate Ramanujan's sum

  RecognizeSeries

Recognize functions by their power series expansions

  DeBruijnNewmanH

Compute the values of the function from which the de Bruijn–Newman constant is defined

  ReverseAccumulate

Replace each element of a list with the sum of the elements in the original list that are not to the left of that element

  SuperperfectNumberQ

Check whether a number is a superperfect number

  HarmonicConjugate

Compute the harmonic conjugate of a function

  LogContract

Contracts sums of logarithms into a single logarithm

  Sumset

Sumset gives the sumset of a collection of sets or the h-fold sumset of a set

  RicciScalar

Compute the Ricci scalar for a metric

  RicciCurvature

Compute the components of the Ricci curvature for a metric

  InverseStereographicProjection

Compute the parametrization of a curve projected onto the unit sphere

  RoundedPercentageShare

Calculate rounded percentages that always sum to 100%

  HarshadNumberQ

Test if a number is a harshad number

  EinsteinSummation

Given tensors and their indices, sum over repeated indices

  CUSUMMaxRandomnessTest

Conduct a cumulative sum-based randomness test that creates a test statistic from the maximum value that a cumulative sums random walk achieves

  NDerivative

Find a numerical approximation to a function derivative near the specified point

  Goldbach

Get all representations of an even integer as the sum of two primes

  BinomialNumberSystemTriplet

Represent a non-negative integer as the sum of three binomial coefficients

  NormalLaplaceDistribution

A statistical distribution for the sum of a normal and an asymmetric Laplace random variable

  PhiNumberSystem

Get a list of powers of the golden ratio which sum to a given integer

  FindExactCover

Find row subsets of an input binary matrix that sum to 1 in each column

  FractionalOrderD

Compute the fractional derivative of an expression

  DiagonalizeQuadratic

Write a quadratic expression as a sum of squares by eliminating its mixed terms and then completing squares

  TrigContract

Attempt to express weighted sums of sines and cosines having the same period in terms of cosines alone

  SteenrodReduce

Evaluate products and sums of monomials in the Steenrod algebra for the prime 2 written in the Serre–Cartan basis

  ArcLengthIntegral

Generate an inactive integral or sum of integrals used for computing the arc length of an expression with given bounds

  UlamSequence

Starting with the third term, give the least integer expressible uniquely as the sum of two distinct earlier terms

  ZeckendorfRepresentation

Give the 0–1 list that indicates the unique nonconsecutive Fibonacci numbers that sum to the non-negative integer input

  DualZeckendorfRepresentation

Give the 0–1 list that is free of consecutive zeros and indicates the unique Fibonacci numbers that sum to the positive integer

  SequenceLimit

Numerically estimate the limit of a sequence of values

  RungeKuttaOrderConditions

List equations for Runge-Kutta methods

  BernoulliBTree

Generate a binary tree representation of Bernoulli numbers by Woon's method

  PlouffeP

Get the value of the Plouffe P function

  DistinctCompactBinaryHuffmanCode

Generate a tree or an association with properties for non-equivalent compact binary Huffman codes

  RichardsonExtrapolate

Calculate an accelerated version of a symbolic sequence

  DensityMatrixToStateMultipole

Represent matrix elements via density state multipoles (statistical tensors)

  StateMultipoleToDensityMatrix

Represent state multipoles (statistical tensors) via density matrix elements

  Generate Constants of Integration & Summation

  DeficientNumber

Compute the nth deficient number

  Ecological Alpha Diversity

Compute common measures of ecological α-diversity on a dataset of species abundance by site

  JordanTotient

Evaluate Jordan's totient function

  LeibnizHarmonicTriangle

Display a given number of rows in the Leibniz harmonic triangle

  NSeries

Find a numerical approximation of a series expansion of a function

  PolynomialSystemInfeasibilityCertificate

Find an independently verifiable certificate proving that a polynomial system has no solutions

  DeficientNumberQ

Check whether an input is a deficient number

  AbundantNumberQ

Check whether an input is an abundant number

  SequenceToProduct

Turn a sequence of expressions into a symbolic product

  OrthogonalPolynomialCoefficientConvert

Convert coefficients of a series with respect to one orthogonal polynomial basis into another

  QuadraticResidues

Compute the quadratic residues of an integer