Search the Wolfram Resource System
Perform analytic and numeric quantum computations
A collection of WL implementations of Matlab functions
Symmetry data and utilities related to crystallography and X-ray scattering
TCGA Data Tool retrieves TCGA cancer datasets easily from the NCI GDC and TCIA portals
Extract lexical patterns from text
Notebook interface application for organizing notes and to-dos
Mosaic plots for datasets and lists of records
WL interface to Tries with frequencies implemented in Java
Make an abstract model of a category (i.e. a collection of objects and morphisms obeying associativity and identity axioms)
Make an abstract model of a category equipped with a strictly associative and unital tensor product structure
List all of the Wolfram Function Repository resources in a category
Make an abstract model of a quiver (i.e. a directed multigraph) that forms the basis of an abstract category
Represent the abstract product of an arbitrary collection of objects in an abstract category
Represent the abstract coproduct of an arbitrary collection of objects in an abstract category
Represent the abstract pullback of a collection of morphisms with common codomain in an abstract category
Represent the abstract pushout of a collection of morphisms with common domain in an abstract category
Make an abstract model of a functor (i.e. a homomorphism between abstract categories)
A collaboration and citation network on physics theory
Weighted network of collaborations between scientists posting preprints
Tools for Lie Algebras and Representation Theory
Convert a ZX-diagram into a pure quantum discrete state
Convert a ZX-diagram into a discrete quantum operator
Convert a discrete quantum operator into a ZX-diagram
Convert a pure quantum discrete state into a ZX-diagram
A collection of tools for Feynman diagrams in scalar field theories
Make a diagrammatic representation of a linear map in the ZX-calculus
Universal Reversible Machine
DRalgo constructs an effective, dimensionally reduced, high-temperature field theory for generic models
Computes 2-to-2 scattering matrix amplitudes for arbitrary quantum field theories
A dataset with common knot names, alternative names, categories, and use cases
Prove or disprove a closed first-order formula in the theory of univariate mixed trigonometric polynomials
Group small values in an association into a single category
List all possible partitions of a list into disjoint pairs
Generate a transitive reduction graph for the divisors of a positive integer
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
Encode an SK combinator expression into a list of 0s and 1s
Test if a group is a subgroup of another
Create combinator expressions for each element of a specified group, as well as the group's operation
Compute the Molien series of a group
Enumerate possible ordered hypergraphs with a given signature
Convert integer tuples into Heegner field primes when applicable
Partition the vertices of a directed acyclic graph into time-ordered level sets
Determine the spectral decomposition of an integer in a modular number system
Evaluate Jordan's totient function
Find integers representable as the sum of consecutive squares
Calculate conditional and marginal distributions of the multivariate normal distribution
Get the faces corresponding to a polyhedral graph
Obtain a spectral basis of a modular number system
Functions for undirected graphs
Generate the tensor associated with the nth derivative of a vector field at a point
Get a congruent integer for a given fraction and modulus
Factor an integer using Fermat's factorization algorithm
Compute the vertex chromatic number of a graph
Compute the generic invariant of a group
Compute the molecular complexity of a given molecule
Generate an n-Sudoku graph
Decompose a vector into a linear combination of a set of vectors
Compute the strength of a voter by reference to the frequency with which their vote could change the outcome of an election
Plot an array of values, with dots at specified positions
Remove low-valence vertices in a graph
Get the bialternate sum matrix of a square matrix
Calculate the value of the second Chebyshev function ψ(x)
Calculate the value of the first Chebyshev function θ(x)
Generate smooth numbers up to some maximum
Compute the number-theoretic transform of a list of integers
Compute the nth deficient number
Find the nth Fermat number that is also a prime number
Determine whether a pair of subsystems in a discrete quantum state are entangled
Compute the Hilbert space distance between two discrete quantum states
Represent the outcomes of a quantum measurement
Determine whether a triple of integers constitutes a Pythagorean triple
Determine whether a list of side lengths can form a right triangle
Represent a quantum basis
Partially trace out specified subsystems of a quantum basis, state or operator
Perform a Schmidt decomposition on a pure discrete quantum state
Represent a quantum Hamiltonian operator
Perform a spectral decomposition (diagonalization) on a quantum state or operator
Represent a discrete quantum state
Represent a discrete quantum operator
Represent a discrete quantum circuit operator
Compute the degree of entanglement between a pair of subsystems in a discrete quantum state
Convert quantum bases, states or operators in Hilbert space to functions in phase space
Compute the tensor product of quantum bases, states or operators
Represent a discrete quantum measurement operator
Add carbon atoms to methane one by one to exhaustively list all alkanes with up to 10 carbon atoms
Get the integers from 1 to n that have no common proper factor with n
Sumset gives the sumset of a collection of sets or the h-fold sumset of a set
Check whether a number is a superperfect number
Compute the nth abundant number
Test whether an integer is a circular prime
Compute the hypergraph with a specified adjacency tensor
Compute the adjacency tensor of an arbitrary hypergraph
Get the coordinates of the points on a square spiral with sides parallel to the axes
Evaluate the Zolotarev polynomial
Compute the values of the function from which the de Bruijn–Newman constant is defined
Generate Schmidt arrangements of circles
Get the resistance matrix of a graph
Find a random composite number or set of random composite numbers
Find all proper k-colorings of a specified graph
Check if a given number is a Fibonacci number
Obtain the symmetries, energies and other properties of the different conformations of cyclohexane
Get a list of lucky numbers
Check whether an input is a deficient number
Check whether an input is an abundant number
Compute the p-adic valuation for certain integers using the lifting-the-exponent lemma
Get a permutation corresponding to two Young tableaux
Generate a tree or an association with properties for non-equivalent compact binary Huffman codes
Enumerate all isomorphisms given a configuration of a Steiner triple system (2, 3, 7) on the Fano plane
Evaluate functions locally over any directed acyclic graph
Generate the Hurwitz matrix of a univariate polynomial
Generate the Schur matrix of a univariate polynomial
Compute the Xu index of an undirected graph or a molecule
Test if a number is a harshad number
Detect molecular point groups describing the symmetry of a molecule
Compute the Schultz molecular topological index of an undirected graph or a molecule
Test if a strongly connected mixed graph is Eulerian or unicursal
Add edges to a graph to make it Eulerian
Compute the quadratic residues of an integer
Produce random causal graphs by sprinkling points into flat (Minkowski) spacetime
Produce random causal graphs by sprinkling points into a spacetime with a specified algebraic curvature function
Compute the Kirchhoff tensor (Laplacian) of an arbitrary hypergraph
Compute the hypergraph with a specified Kirchhoff tensor (Laplacian)
Compute the Wiener index of a graph
Compute the Balaban J index of an undirected graph or a molecule
Try to find a counterexample to an equational hypothesis in a given system of axioms
A collection of mixed graph functionality
Compute the Szeged index of an undirected graph or a molecule
Return the radical of an integer, the product of its distinct prime factors
Find all perfect power representations of an integer
Get a list of powers of the golden ratio which sum to a given integer
Determine whether a given integer is a perfect power
Get the pairs of primes that differ by 4
Get the pairs of primes that differ by 6
Get a pair of lists representing the Ferrers diagram of a partition
Construct the corresponding partition, given a Frobenius symbol
Get the nth composite number
Produce random causal graphs by sprinkling points into a specified region of a (potentially curved) spacetime
Finds the position of a primitive Pythagorean triple in Barning-Hall tree
Find solutions to perfectly played combinatorial games
The use of counting process methodology has allowed for substantial advances in the statistical theory to account for censoring and truncation in survival experiments. This book makes these complex methods more accessible to applied researchers without an advanced mathematical background.
The use of counting process methodology has allowed for substantial advances in the statistical theory to account for censoring and truncation in survival experiments. This book makes these complex methods more accessible to applied researchers without an advanced mathematical background.
Find the list of solutions to the 24 Game by trying all possible options
Test if a certificate can be used for ascertaining the primality or compositeness of a number
Move back and forth from the squared space or square root space of an algebraic number field
Simulate hard spheres moving in an n-dimensional box
Express an integer as a sum of one or more integer powers
Get the fibbinary sequence
Simulate a nondeterministic Turing machine evolution as a multiway system
Simulate a quantum evolution as a multiway system
Compute the evolution of a multiway system based on function evaluation over the integers
Compute the radical inverse of an integer to a given base
Determine if a number is a Gaussian integer
Give all possible ways to form proper brackets
Give the 0–1 list that indicates the unique nonconsecutive Fibonacci numbers that sum to the non-negative integer input
The largest part minus the number of parts of a partition
Total number of smallest parts in the partitions of a positive integer
Simplify zeta functions in expressions
Recover an integer from its negabinary representation
Get Dyson's crank of an integer partition
Get the negabinary representation of an integer
Count the number of ways to partition a set where the order of the subsets matters
Starting with the third term, give the least integer expressible uniquely as the sum of two distinct earlier terms
Create path graphs between two vertices in a graph where the paths are constructed without consideration of the direction of the edges
Compute the Hosoya Z index of a graph
Dataset from the Internet Games Database API as of June 2018
Give a simple undirected graph a proper edge coloring using at most one color more than necessary
Compute the half-GCD of a pair of integers
Determine whether a number is a safe prime
Determine whether a number is a strong prime
Determine whether a number is a Sophie Germain prime
Get the mod value of large exponential towers
Check whether the argument is a weakly decreasing list of positive integers
Efficient computation of a binomial coefficient modulo a given number
Certify a number as provably prime
Fast factorial modulo a given number
Generate a list of fractions with a bounded denominator
Weighted network of coauthorships between scientists working on network science
Compute the Szeged matrix of an undirected graph or a molecule
Utilities for testing code equivalence
Create a triangular set decomposition for a given list of polynomials and variables
Compute the entanglement entropy of a certain subgraph of a causal graph (or subset of a causal set) using the naive/fragile approach
Compute the entanglement entropy of a certain subgraph of a causal graph (or subset of a causal set) using the generalized/robust approach
Get all representations of an even integer as the sum of two primes
Generalize the Fibonacci numbers for complex inputs using Binet's Fibonacci formula
Get the pairs of primes that differ by 2
Solve an alphametic puzzle
Give the greatest gap between the primes up to the argument
Compute a matrix of well depth values representing a quadratic-residue diffuser
Get the number of permutations with a given number of ascents
Test whether an integer is a wasteful number
Convert integers to and from balanced ternary
Interpret the FRACTRAN esoteric programming language
Rational approximation of a real number using different kinds of commonly known series expansions
Generate all compositions of an integer into the specified number of parts
Compute the mediant of a list of non-negative rationals
Get the value of the Plouffe P function
Get the next composition of an integer in canonical order
Generate the zero-free compositions of a positive integer
Approximately rationalize a set of numbers to give a common denominator
Compute Egyptian fractions using different methods
Find the integer corresponding to a given Gray code
Express an integer factorization as it would be seen in a factorization table
Compute a reduced basis for a set of vectors, along with a unimodular matrix that converts from the vectors to the reduced basis
Get a point belonging to the Faure sequence
Show an array of polygonal numbers
Factor an integer into powers of Eisenstein primes
Compute the order-k tetration of a number
Plot a 3D relief representing a quadratic-residue diffuser
Give the remainder on division of a power tower expression
Counts the number of times an integer k appears within all possible ways to partition an integer n without calculating n’s integer partitions
Generate a set of integers that can create Dobble cards
Find a small solution to a system of linear equations over the integers
Fibonacci-digit encoding for a number
Test whether an integer is a quasiperfect number
Find the rank of a totally balanced binary sequence
Get the Collatz sequence starting with a given value
Evaluate the Eisenstein series
Predicting car acceptability by attribute.
Compute one or more safe primes in a requested range
Find a unimodular conversion matrix corresponding to a lattice Gramian matrix
Find a near-minimal set of marks for an integer length ruler so that all smaller integer distances are measurable
Test whether an integer is a happy number
The Big Mac index, published by The Economist from 2000 to 2018.
Closed form of cos(2π/p) where p is a Fermat prime (3, 5, 17, 257, 65537) a la Gauss
Display a given number of rows in Pascal's triangle
Get a graph representation for the factorization of an integer
ArXivExplore helps the deep data analysis of all research articles on ArXiv
United States per capita income by state
Navigate a drone in a forest environment
Return the list provided by the OEIS for a given OEIS sequence number
Locations of megalithic monuments in Scotland
Locations of megalithic monuments in Wales (UK)
Locations of megalithic monuments in England
Simulate the evaluation of a formal operator expression as a multiway system
Find a path that goes from one expression to another with a sequence of replacements
Try to find a proof of equivalence between hypergraphs in a given multiway Wolfram model system
Try to find a proof of equivalence between lists in a given multiway system
Try to find a proof of equivalence between strings in a given multiway system
Brownlee's stack loss plant data.
Attempt to find a proof of a theorem in combinatory logic using a given combinatory calculus
Represent matrix elements via density state multipoles (statistical tensors)
Represent state multipoles (statistical tensors) via density matrix elements
Evaluate the Lommel polynomial
Get a physicist's constructive proof of Fuchs's theorem on hyperelliptic curves
Build an elliptic function with given periods, zeros and poles
Evaluate the Schläfli polynomial
Compute the pseudo-conjugate of an integer partition
Evaluate the Motzkin number
Find zeros of the ScorerGi function
Find the exspheres of a triangle or tetrahedron
Find the ordinary differential equation constraining periods of certain symmetrical curves
Get the irreducible group representation of SU(2) for a given angular momentum
Get a pure function whose argument is a vector or a matrix for a given tensor
Compute the point group symmetry symbol of a molecule or a polyhedron
Evaluate the logarithmic norm of a square matrix
Evaluate the Neumann polynomial
Calculate the numerical value of the Hölder double sine function
Quantile regression functions
Evaluate the triple gamma function
Evaluate an infinite sum using the Weniger transformation
Compute the multiplicative persistence, in any base, of an integer
Calculate an accelerated version of a symbolic sequence
Generate the axis-angle representation of a three-dimensional rotation matrix
Generate the companion matrix for the Newton interpolating polynomial of a given set of points
Evaluate the Takagi function
Construct an interpolating polynomial approximation of a function using the Padua points
Generate Padua points for bivariate interpolation and cubature
Generate a Krawtchouk matrix
Numerically integrate a function using the Padua points
Evaluate an infinite sum using the Levin transformation
Obtain the orbit of a 2D iterated map from given initial conditions