Wolfram Resource System

Search the Wolfram Resource System

Search the Wolfram Resource System

Paclet Resource: Wolfram/VirtualMachine

Run virtual machines in the Wolfram Language

Paclet Resource: Wolfram/SamplePaclet

A sample paclet used to demonstrate basic CI/CD workflows at the 2022 Wolfram Technology Conference

Paclet Resource: Wolfram/QuantumFramework

Perform analytic and numeric quantum computations

Paclet Resource: Wolfram/LLMFunctions

Language model and other API based machine learning functions for the WL

Paclet Resource: Wolfram/GitLink

Integrate git functionality into the Wolfram Language

Paclet Resource: WolframChemistry/Selfies

SELF-referencIng Embedded Strings

Paclet Resource: WolframChemistry/MoleculeFingerprints

Compute and compare molecule fingerprints

Paclet Resource: WolframChemistry/IsomerGeneration

Generate Isomers from Chemical Formulas

Paclet Resource: WolframChemistry/ChemistryFunctions

Wolfram Language functions for Chemistry

Paclet Resource: Wolfram/AdvancedSamplePaclet

A sample paclet used to demonstrate more complex CI/CD workflows at the 2022 Wolfram Technology Conference

Paclet Resource: StianRamsnes/MaXrd

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

Paclet Resource: RobertNachbar/CompartmentalModeling

Build, visualize, analyze, and simulate compartmental models

Paclet Resource: PeterBurbery/RecreationalMathematics

This paclet is for recreational mathematics and math puzzles

Paclet Resource: PeterBurbery/MixedGraphs

A collection of mixed graph functionality

Paclet Resource: PeterBurbery/FileSystem

Functions for manipulating files and directories

Paclet Resource: PeterBurbery/CombinatoricsPaclet

Combinatorics functions for subsets, tuples, and permutations

Paclet Resource: PeterBurbery/BooleanLogic

Work with logical functions and boolean values

Paclet Resource: Obando/CAGenetics

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

Paclet Resource: KlausSutner/Automata

Automata theory package

Paclet Resource: KirillBelov/ExchangeLink

Rest API and WebSocket clients for different crypto currency exchanges

Paclet Resource: JasonB/WeakCache

Functions for caching with automatic garbage collection

Paclet Resource: JaroslavKysela/OpticalElements3D

3D models of optical elements

Paclet Resource: FaizonZaman/LexicalCases

Extract lexical patterns from text

Paclet Resource: AntonAntonov/SSparseMatrix

Sparse matrices with named columns and rows

Paclet Resource: AntonAntonov/QuantileRegression

Quantile regression functions

Paclet Resource: AntonAntonov/MosaicPlot

Mosaic plots for datasets and lists of records

Paclet Resource: AntonAntonov/MonadicSparseMatrixRecommender

A software monad for Sparse Matrix Recommender (SMR) workflows

Paclet Resource: AntonAntonov/MonadicQuantileRegression

Software monad for Quantile Regression workflows

Paclet Resource: AntonAntonov/MonadicLatentSemanticAnalysis

Software monad for Latent semantic analysis

Paclet Resource: AntonAntonov/FunctionalParsers

Functional parsers

Paclet Resource: AntonAntonov/DimensionReducers

Dimension reduction algorithms

Paclet Resource: AntonAntonov/DataReshapers

Data reshaping functions

Paclet Resource: AntonAntonov/CallGraph

Call graph generation

Function Resource: IntegerCompositions

Generate all compositions of an integer into the specified number of parts

Function Resource: GaussianIntegerQ

Determine if a number is a Gaussian integer

Function Resource: AutomorphicIntegerQ

Test whether an integer is automorphic in a given base or not

Function Resource: EisensteinFactorInteger

Factor an integer into powers of Eisenstein primes

Function Resource: MagicInteger

Iterate through integer names until an integer equal to its string length is reached

Function Resource: SmoothIntegerQ

Test whether the prime factors of an integer are less than a given threshold

Function Resource: RandomIntegerPartition

Generate a random partition of an integer

Function Resource: FactorIntegerHart

Factor an integer using Hart's one line factoring algorithm

Function Resource: NextIntegerPartition

Get the next partition of an integer in reverse lexicographic order

Function Resource: EisensteinIntegers

Support arithmetic operations for pairs of Eisenstein integers

Function Resource: FactorIntegerFermat

Factor an integer using Fermat's factorization algorithm

Function Resource: NextIntegerComposition

Get the next composition of an integer in canonical order

Function Resource: IntegerRadical

Return the radical of an integer, the product of its distinct prime factors

Function Resource: SmallIntegerLinearSolve

Find a small solution to a system of linear equations over the integers

Function Resource: MachineIntegerQ

Check if a number falls into the range of machine-sized integers for your computer

Function Resource: DominatingIntegerPartitionQ

Determine if one integer partition dominates another

Function Resource: IntegerPalindromeQ

Check whether an integer is a palindrome for any base and digits length

Function Resource: LinearSolveModIntegers

Solve rational linear system modulo the integers

Function Resource: IntegerPartitionFrequency

Counts the number of times an integer k appears within all possible ways to partition an integer n without calculating n’s integer partitions

Function Resource: StrictIntegerCompositions

Generate the zero-free compositions of a positive integer

Function Resource: IntegerConvexHullMesh

Generate the minimal mesh region with integer vertices that contains all points

Function Resource: DniIntegerForm

The D’ni glyph corresponding to a base-10 integer

Function Resource: IntegerPartitionQ

Check whether the argument is a weakly decreasing list of positive integers

Function Resource: IntegerChop

Round near-integer values to integers

Function Resource: DurfeeSquare

Compute the side length of the Durfee square of an integer partition

Function Resource: RandomDotOrgInteger

Generate a random integer using the random.org service

Function Resource: CoprimeIntegerList

Return a list of positive integers coprime to a given integer

Function Resource: IntegerSpectralDecomposition

Determine the spectral decomposition of an integer in a modular number system

Example Resource: Speed of Factoring

Function Resource: InactiveFactorInteger

Compute the prime factorization of an integer and return it in an inactivated form

Function Resource: CorrespondingIntegers

Create a list of positive integers containing as many elements as the expression to which it is applied

Function Resource: IntegerSpectralBasis

Obtain a spectral basis of a modular number system

Function Resource: FloorSqrt

Find the integer square root of a positive integer

Function Resource: FactorSemiprime

Fast integer factorization of a certain class of semiprimes

Function Resource: Immanant

Compute the immanant of a square matrix associated with an integer partition

Function Resource: OEISLookup

Look up a sequence of numbers on the Online Encyclopedia of Integer Sequences (OEIS)

Function Resource: FranklinBijection

Map a distinct integer partition into another, reversing the parity of the number of parts, with one exception for each integer

Function Resource: Composite

Get the nth composite number

Function Resource: OEISSequenceData

Access sequences and metadata from The On-Line Encyclopedia of Integer Sequences

Function Resource: PseudoConjugatePartition

Compute the pseudo-conjugate of an integer partition

Function Resource: RandomUnimodularMatrix

Return a pseudorandom unimodular matrix

Function Resource: OEISSequence

Return the list provided by the OEIS for a given OEIS sequence number

Function Resource: FibonacciQ

Check if a given number is a Fibonacci number

Function Resource: FerrersVennDiagram

Generate a Venn-like diagram to compare the Ferrers diagrams of two integer partitions

Function Resource: LogSimplify

Attempt to simplify a numeric expression containing logarithms using integer relations

Function Resource: Fibbinary

Get the fibbinary sequence

Function Resource: PartitionFromFrobeniusSymbol

Construct the corresponding partition, given a Frobenius symbol

Function Resource: BresenhamPoints

Calculate integer 2D point locations along a line using Bresenham's method

Function Resource: FrobeniusSymbolFromPartition

Get a pair of lists representing the Ferrers diagram of a partition

Function Resource: MultiwayFunctionSystem

Compute the evolution of a multiway system based on function evaluation over the integers

Function Resource: FindFirstNumberInstance

Find the first number that matches a certain requirement

Function Resource: PerfectPower

Find all perfect power representations of an integer

Function Resource: GrayCode

Find the Gray code for an integer

Function Resource: BalancedTernary

Convert integers to and from balanced ternary

Function Resource: NumberParse

Parse a string to a number safely

Function Resource: SolveSudokuPuzzle

Solve a sudoku puzzle

Function Resource: ConsecutiveSquareSum

Find integers representable as the sum of consecutive squares

Function Resource: WastefulNumberQ

Test whether an integer is a wasteful number

Function Resource: AdditivePersistence

Compute the additive persistence, in any base, of an integer

Function Resource: MultiplicativePersistence

Compute the multiplicative persistence, in any base, of an integer

Function Resource: InverseGrayCode

Find the integer corresponding to a given Gray code

Function Resource: SolveKillerSudokuPuzzle

Solve a killer sudoku puzzle

Function Resource: DigitSum

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

Function Resource: ToNegabinary

Get the negabinary representation of an integer

Function Resource: MultiplicativeDigitalRoot

Compute the multiplicative digital root, in any base, of an integer

Function Resource: AdditiveDigitalRoot

Compute the additive digital root, in any base, of an integer

Function Resource: FormatFactorization

Express an integer factorization as it would be seen in a factorization table

Function Resource: InactiveSumOfPowers

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

Function Resource: HalfGCD

Compute the half-GCD of a pair of integers

Function Resource: HexConvert

Convert hexadecimal strings to integers and vice versa

Function Resource: ArithmeticD

Compute the arithmetic derivative of a rational number

Function Resource: DienesBlock

Create a Dienes block visualization of an integer in any base

Function Resource: ArrayPatternFromIndex

Convert the size, index and base into an integer array pattern

Function Resource: PartitionCrank

Get Dyson's crank of an integer partition

Function Resource: MinSumPermutation

Find a permutation that minimizes a matrix sum

Function Resource: RaggedDigitsPlot

Plot an array of digits, allowing them to be ragged on the left

Function Resource: CircularPrimeQ

Test whether an integer is a circular prime

Function Resource: RadicalInverse

Compute the radical inverse of an integer to a given base

Function Resource: LinearSolveMod

Solve a linear system with multiple moduli

Function Resource: CommonMultiples

Find the common multiples of two or more integers

Function Resource: SmallestPartsFunction

Total number of smallest parts in the partitions of a positive integer

Function Resource: FabiusF

Evaluate the Fabius function

Function Resource: AncientNumberRepresentation

Display the written representation of an integer in any of several ancient number systems, including Babylonian

Function Resource: PhiNumberSystem

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

Function Resource: SchurS

Evaluate the Schur polynomial corresponding to an integer partition

Function Resource: ZeckendorfRepresentation

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

Function Resource: LargestPrimeFactor

Find the largest prime factor of a given integer

Function Resource: DualZeckendorfRepresentation

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

Function Resource: ExponentLift

Compute the p-adic valuation for certain integers using the lifting-the-exponent lemma

Data Resource: Tagged Test Images Network

Bipartite network of tags and images

Function Resource: BinaryCodedTernary

A self-delimiting number representation

Function Resource: GenerateSmoothNumbers

Generate smooth numbers up to some maximum

Data Resource: Arecibo Telescope 1974 Transmitted SETI Message

A sequence intended for communication with extraterrestrial intelligence, transmitted in 1974 from the Arecibo radio telescope

Function Resource: Game24Solutions

Find the list of solutions to the 24 Game by trying all possible options

Function Resource: LuckyNumbers

Get a list of lucky numbers

Function Resource: GrayCodeSubsets

Get subsets of a given set in minimum change order

Function Resource: ElementDesignator

Obtain the International Union of Pure and Applied Chemistry (IUPAC) temporary designators for new elements

Function Resource: NumberOfTableaux

Get a count of Young tableaux for a given size or shape

Function Resource: TableauQ

Determine if a list of values forms a Young tableau

Function Resource: FindFiniteModels

Find finite models consistent with the set of relations

Function Resource: HarshadNumberQ

Test if a number is a harshad number

Function Resource: NextGrayCodeSubset

Get the successor of a given subset in Gray code order

Function Resource: StandardYoungTableaux

Enumerate all standard Young tableaux of a given shape

Function Resource: OrderlessCombinations

Generate all possible orderless lists of a given length with a given set of elements

Function Resource: RationalQ

Determine if a number is rational

Function Resource: HookLengths

Get the list of lists whose entries are the hook lengths of the entries of a Young tableau

Function Resource: RandomMetalPseudoSubgenre

Generate a new metal subgenre in the spirit of the many metal microgenres

Function Resource: QuadraticResidues

Compute the quadratic residues of an integer

Function Resource: RandomSplit

Randomly divide a list into a specified number of segments

Function Resource: AlkaneIsomers

Generate all alkanes with a given number of carbon atoms

Function Resource: ClosestPrime

Find the prime integer closest to a number

Function Resource: FactorGraph

Get a graph representation for the factorization of an integer

Function Resource: QuasiPerfectNumberQ

Test whether an integer is a quasiperfect number

Function Resource: HappyNumberQ

Test whether an integer is a happy number

Function Resource: FindRanges

Find continuous ranges in a list of integers

Function Resource: CycleLengthCountList

List the possible cycle length counts of permutations of a given length

Function Resource: RandomVector

Return a pseudorandom vector of a given type and size

Function Resource: ExtendedLatticeReduce

Compute a reduced basis for a set of vectors, along with a unimodular matrix that converts from the vectors to the reduced basis

Function Resource: ApartAll

Compute a partial fraction decomposition over the algebraic closure of the rationals

Function Resource: PalindromicSubsequences

Find palindromic subsequences in lists

Function Resource: PartitionRank

The largest part minus the number of parts of a partition

Function Resource: RandomPolynomial

Generate a polynomial with random terms

Function Resource: PeriodicPatternGenerator

Generate a periodic pattern

Function Resource: Fractran

Interpret the FRACTRAN esoteric programming language

Function Resource: FerrersDiagram

Display the Ferrers diagram of a partition with dots

Function Resource: ReasonableRuler

Find a near-minimal set of marks for an integer length ruler so that all smaller integer distances are measurable

Function Resource: Excess01Ruler

Find a near-minimal set of integer marks so that all integers up to a given length are represented as differences

Function Resource: CommonDivisors

Find the common divisors of two or more integers

Function Resource: PerfectPowerQ

Determine whether a given integer is a perfect power

Function Resource: BitBooleanFunction

Apply a Boolean function to corresponding bits in integers

Function Resource: FromNegabinary

Recover an integer from its negabinary representation

Function Resource: TallyMarks

Represent an integer in various forms of tally marks

Function Resource: FractionMod

Get a congruent integer for a given fraction and modulus

Function Resource: StandardOrderIndex

Get the index of a list of integers in standard order

Function Resource: NumberTheoreticTransform

Compute the number-theoretic transform of a list of integers

Function Resource: NumeralRepresentation

Display a representation of an integer in a specified number system

Function Resource: VisualizeDigitPath

Get a graph of the sequential digit path of a number

Function Resource: ConjugatePartition

Switch the rows and columns of a partition

Function Resource: IsTranscendentalNumber

Check whether a number is transcendental

Function Resource: FibonacciEncode

Fibonacci-digit encoding for a number

Function Resource: RamanujanPrimes

Compute Ramanujan primes

Function Resource: KoremutakeConvert

Convert to and from Koremutake memorable random strings

Function Resource: RandomCombinator

Generate a pseudorandom combinator

Function Resource: RandomComposite

Find a random composite number or set of random composite numbers

Function Resource: DivisorHasseDiagram

Generate a transitive reduction graph for the divisors of a positive integer

Function Resource: TapeDiagram

Visualize fractions, integers and multiplication using tape diagrams

Function Resource: DobbleSets

Generate a set of integers that can create Dobble cards

Function Resource: PythagoreanTripleQ

Determine whether a triple of integers constitutes a Pythagorean triple

Function Resource: BitTest

Determine whether a given bit in an integer is set to one

Function Resource: ArrayPatternToIndex

Convert an integer array pattern into a size, index and base

Function Resource: TupleIndex

Compute the index of a given tuple of non-negative integers

Data Resource: United States Supreme Court Decisions 1946-present

Datasets relating to Supreme Court cases from 1946 to present

Function Resource: RoundAwayFromZero

Round a number away from zero

Function Resource: Goldbach

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

Function Resource: BitFlip

Flip an individual bit in an integer (0 to 1 and 1 to 0)

Function Resource: BinomialNumberSystemTriplet

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

Function Resource: ComplexRootQ

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

Function Resource: HeegnerPrime

Convert integer tuples into Heegner field primes when applicable

Function Resource: NthDigit

Compute the digit in a given place of the positional representation of a number

Function Resource: MultiplicationTable

Generate a multiplication table for a range of integers, optionally using modular arithmetic

Function Resource: RandomTabularDataset

Generate a random tabular dataset

Function Resource: Totatives

Get the integers from 1 to n that have no common proper factor with n

Function Resource: InverseFactorial

Compute the inverse factorial of a strictly positive integer by solving the gamma function for a specific value

Function Resource: GPTTokenizer

Tokenize an input string into a list of integers from a vocabulary that was originally used to train GPT nets

Function Resource: OrdinalNumberString

Convert integers to strings representing ranks: 1st, 2nd, 3rd, etc.

Function Resource: UseRealRoots

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

Function Resource: UlamSequence

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

Function Resource: RandomMatrix

Get a pseudorandom matrix of a given kind, type and size