Wolfram Resource System

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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/Lazy

Lazy computation

Paclet Resource: Wolfram/GitLink

Integrate git functionality into the Wolfram Language

Paclet Resource: Wolfram/CommandLineParser

Parser for command line arguments

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: TheRealCStover/Trigonometry

A collection of lesser-known circular and hyperbolic trig functions and their inverses

Paclet Resource: Strangeworks/Strangeworks

Allows Wolfram Mathematica users to submit quantum circuits to quantum hardware through the Strangeworks platform

Paclet Resource: SamplePublisher/SamplePaclet

A complete sample Paclet

Paclet Resource: RohanMehta/OpenChemicalSystems

Model, stochastically simulate, and visualize arbitrary open chemical systems using a Petri Net framework

Paclet Resource: RobertNachbar/CompartmentalModeling

Build, visualize, analyze, and simulate compartmental models

Paclet Resource: PeterBurbery/WordCloud

Word cloud functionality

Paclet Resource: PeterBurbery/UndirectedGraphs

Functions for undirected graphs

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/CoreLanguageAndStructureFunctionality

Additional functionality for the core language and structure of Mathematica

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: LawrenceWinkler/MatrixDecomposition

Various simple matrix decompositions algorithms and support functions

Paclet Resource: KlausSutner/Automata

Automata theory package

Paclet Resource: KirillBelov/TelegramBot

Telegram Bot API client for the Wolfram Language

Paclet Resource: JasonB/WeakCache

Functions for caching with automatic garbage collection

Paclet Resource: JaroslavKysela/OpticalElements3D

3D models of optical elements

Paclet Resource: JanM/Dixon

The Dixon elliptic functions in Mathematica

Paclet Resource: JaneShenGunther/TCGADataTool

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

Paclet Resource: FaizonZaman/LexicalCases

Extract lexical patterns from text

Paclet Resource: DanielS/Wireworld

Explore the Wireworld Turing-complete cellular automaton

Paclet Resource: ConnorGray/Organizer

Notebook interface application for organizing notes and to-dos

Paclet Resource: ArmandoCruz/ZeroKnowledgeProofs

Implementation of Zero Knowledge proof interactive and non-interactive protocols

Paclet Resource: AntonAntonov/TriesWithFrequencies

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

Paclet Resource: AntonAntonov/SSparseMatrix

Sparse matrices with named columns and rows

Paclet Resource: AntonAntonov/ROCFunctions

Receiver Operating Characteristic (ROC) functions

Paclet Resource: AntonAntonov/QuantileRegression

Quantile regression functions

Paclet Resource: AntonAntonov/PaLMMode

Notebook style with cells for execution of PaLM commands

Paclet Resource: AntonAntonov/PaLMLink

PaLM API linking functions

Paclet Resource: AntonAntonov/OutlierIdentifiers

Outlier identifier functions

Paclet Resource: AntonAntonov/MosaicPlot

Mosaic plots for datasets and lists of records

Paclet Resource: AntonAntonov/MonadMakers

Functions for making software monads

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/JavaTriesWithFrequencies

WL interface to Tries with frequencies implemented in Java

Paclet Resource: AntonAntonov/FunctionalParsers

Functional parsers

Paclet Resource: AntonAntonov/DimensionReducers

Dimension reduction algorithms

Paclet Resource: AntonAntonov/DataReshapers

Data reshaping functions

Paclet Resource: AntonAntonov/CryptocurrencyData

Cryptocurrency data retrieval

Paclet Resource: AntonAntonov/AssociationRuleLearning

Functions for association rule learning

Function Resource: NumberTheoreticTransform

Compute the number-theoretic transform of a list of integers

Function Resource: QuadraticResidueAcousticDiffuser

Compute a matrix of well depth values representing a quadratic-residue diffuser

Function Resource: QuadraticResidueAcousticDiffuserPlot

Plot a 3D relief representing a quadratic-residue diffuser

Function Resource: PulmonaryDiffusingCapacity

Calculate the rate of transfer of CO gas from air in the lungs to the blood

Function Resource: FactorialMod

Fast factorial modulo a given number

Data Resource: Cunningham Number Factorizations

Numbers of the form b^n-1 and b^n+1 are factored for small prime bases b={2,3,5,7}

Function Resource: EulerianNumber

Get the number of permutations with a given number of ascents

Function Resource: FubiniNumber

Count the number of ways to partition a set where the order of the subsets matters

Paclet Resource: AntonAntonov/NumberTheoryUtilities

Number Theory utility functions

Function Resource: DeficientNumber

Compute the nth deficient number

Function Resource: TurningNumber

Compute the turning number of a curve

Function Resource: AtomicNumber

Find the atomic number for a given element

Function Resource: UnwindingNumber

Evaluate the unwinding number

Function Resource: ChromaticNumber

Compute the vertex chromatic number of a graph

Function Resource: NumberParse

Parse a string to a number safely

Function Resource: AbundantNumber

Compute the nth abundant number

Function Resource: DualNumber

Represent a dual number

Function Resource: NumberExpansion

Express a number as an expansion using any of several methods

Function Resource: LiouvilleNumber

Compute the Liouville number or its generalization

Function Resource: HappyNumberQ

Test whether an integer is a happy number

Function Resource: SuperperfectNumberQ

Check whether a number is a superperfect number

Function Resource: IsTranscendentalNumber

Check whether a number is transcendental

Function Resource: DeficientNumberQ

Check whether an input is a deficient number

Function Resource: AbundantNumberQ

Check whether an input is an abundant number

Function Resource: HarshadNumberQ

Test if a number is a harshad number

Function Resource: WastefulNumberQ

Test whether an integer is a wasteful number

Function Resource: NumberedPointPlot

Plot a list of points as numbered labels

Function Resource: NumberOfTableaux

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

Function Resource: FussCatalanNumber

Evaluate the Fuss–Catalan number

Function Resource: FromAtomicNumber

Find the element for a given atomic number

Function Resource: EdgeChromaticNumber

Compute the smallest number of colors needed in a proper edge coloring of a graph

Function Resource: PhoneNumberAnagrams

Find English word replacements within a phone number

Function Resource: CistercianNumberEncode

Encode a number according to the system devised by Cistercian monks

Function Resource: SelectVersionNumber

Choose a version number matching a specification

Function Resource: FromNumberExpansion

Rational approximation of a real number using different kinds of commonly known series expansions

Function Resource: PhiNumberSystem

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

Function Resource: AncientNumberRepresentation

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

Function Resource: FindNumberSequence

Generate an association of information containing a qualifying sequence, its start position and its digit path

Function Resource: MixedNumberForm

Represent an improper fraction in mixed form

Function Resource: QuasiPerfectNumberQ

Test whether an integer is a quasiperfect number

Function Resource: MetricNumberString

Convert raw numbers into metric system amounts for human readability

Function Resource: CellularAutomatonNumber

Convert an explicit list of rules specifying a cellular automaton into the corresponding rule number

Example Resource: Discovering Prime Numbers

Function Resource: OrdinalNumberString

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

Function Resource: TuringMachineToNumber

Convert an explicit list of rules into an enumerated Turing machine specification

Function Resource: FindFirstNumberInstance

Find the first number that matches a certain requirement

Data Resource: A Billion Bits of the Center Column of the Rule 30 Cellular Automaton

The center column of the rule 30 cellular automaton over a billion steps of evolution

Function Resource: ValidCASNumberQ

Check for a valid Chemical Abstracts Service (CAS) Registry Number

Function Resource: BinomialNumberSystemTriplet

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

Function Resource: TuringMachineFromNumber

Convert numbers specifying a Turing machine into an explicit list of rules

Function Resource: CellularAutomatonFromNumber

Convert numbers specifying a cellular automaton into an explicit list of rules

Example Resource: Speed of Factoring

Function Resource: TapeMeasureNumberLinePlot

Show a length on a tape measure and give the closest ruler fractions

Function Resource: PermutationAscents

Give the indices of a permutation where there is an immediate ascent

Example Resource: Numeric Cyclic Voltammetry

Solve a coupled reaction model

Example Resource: Compare Frying Pan Thermal Properties

Compare the thermal properties of frying pans made from different materials

Function Resource: FermatPrime

Find the nth Fermat number that is also a prime number

Example Resource: Quantum Fourier Transform

Generate a QFT circuit for any number of qubits

Function Resource: GaussianIntegerQ

Determine if a number is a Gaussian integer

Function Resource: PolygonalDiagram

Show an array of polygonal numbers

Function Resource: FibonacciQ

Check if a given number is a Fibonacci number

Function Resource: MotzkinM

Evaluate the Motzkin number

Function Resource: DelannoyD

Evaluate the Delannoy number

Function Resource: LahL

Evaluate the Lah number

Function Resource: ChebyshevPsi

Calculate the value of the second Chebyshev function ψ(x)

Function Resource: ChebyshevTheta

Calculate the value of the first Chebyshev function θ(x)

Function Resource: BinaryCodedTernary

A self-delimiting number representation

Function Resource: GraphCount

Find the number of fundamentally different graphs of a specified size

Function Resource: SafePrimeQ

Determine whether a number is a safe prime

Function Resource: StrongPrimeQ

Determine whether a number is a strong prime

Function Resource: InvolutionCount

Count the number of involutions

Function Resource: RandomComposite

Find a random composite number or set of random composite numbers

Function Resource: SophieGermainPrimeQ

Determine whether a number is a Sophie Germain prime

Function Resource: RandomDotOrgReal

Generate a random real number using the random.org service

Function Resource: VisualizeDigitPath

Get a graph of the sequential digit path of a number

Data Resource: Thunder Frequency by WMO Station

Average annual and monthly number of days with thunder

Function Resource: FibonacciEncode

Fibonacci-digit encoding for a number

Function Resource: MachineIntegerQ

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

Function Resource: SqrtSpace

Move back and forth from the squared space or square root space of an algebraic number field

Function Resource: EdgeColoring

Assign colors to edges of a graph so that no two adjacent edges have the same color

Data Resource: Sample Data: Scientific Discoveries

Number of great scientific discoveries of each year

Data Resource: Sample Data: Chicken Weight

Biometrika is primarily a journal of statistics in which emphasis is placed on papers containing original theoretical contributions of direct or potential value in applications.

Function Resource: RandomDotOrgInteger

Generate a random integer using the random.org service

Function Resource: SignificantDigits

Determine the number of significant digits in a number

Data Resource: Epidemic Data for SARS

Cumulative number of reported suspect and probable cases

Function Resource: BalancedTernary

Convert integers to and from balanced ternary

Neural Net Resource: Inception V1 Trained on Extended Salient Object Subitizing Data

Count the number of prominent items in an image

Data Resource: Negative Binomial Distributed Accident Data

Number of accidents experienced by employees in a factory in a year

Data Resource: Overcast Frequency by WMO Station

Average annual and monthly number of days without sunshine

Function Resource: IntegerSpectralDecomposition

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

Function Resource: IntegerSpectralBasis

Obtain a spectral basis of a modular number system

Data Resource: Prussian Horse Kick Data

Number of soldiers in the Prussian cavalry killed by horse kicks

Function Resource: DedekindPsi

Evaluate the Dedekind psi function

Function Resource: MagicInteger

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

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: SaundersDigitPlot

Make a Saunders plot of a function

Data Resource: Sample Data: Warp Breaks

Number of breaks in yarn during weaving per loom.

Function Resource: DecimalRound

Round a machine number to a prescribed number of significant digits using conventional rounding rules

Function Resource: ValidISINQ

Verify an international securities identification number

Data Resource: Fog Frequency by WMO Station

Average annual and monthly number of days with fog for 22 nations

Data Resource: Snowfall Frequency by WMO Station

Average annual and monthly number of days with snowfall for 9 nations

Data Resource: Rain Frequency by WMO Station

Average annual and monthly number of days with rain for 28 nations

Data Resource: Malaria Cases

WHO's estimated number of malaria cases by country in each year

Example Resource: Modify Molecule Properties and Structures

Change atomic properties like charge and mass number or add and remove entire substructures

Function Resource: Primorial

Evaluate the primorial

Function Resource: ArithmeticD

Compute the arithmetic derivative of a rational number

Function Resource: RationalQ

Determine if a number is rational

Function Resource: RandomVector

Return a pseudorandom vector of a given type and size

Function Resource: ValidISBNQ

Check if a string is a valid ISBN-13 or ISBN-10

Function Resource: JordanTotient

Evaluate Jordan's totient function

Function Resource: ConsecutiveSquareSum

Find integers representable as the sum of consecutive squares

Data Resource: OECD Data: Hospital Beds Per Country

OECD time series data for number of beds for 1000 inhabitants

Function Resource: FindClosedForm

Search for a formula that yields a given number

Function Resource: RepeatingDecimalToRational

Find a rational number equivalent to a real number with repeating digits

Function Resource: PermutationCountByInversions

Get the number of permutations having a specified length and number of inversions

Function Resource: ComplexRootQ

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

Function Resource: VertexColoring

Assign colors to vertices of a graph so that no edge connects vertices of the same color

Function Resource: DigitalSpiral

Arrange a number into a spiral

Function Resource: Composite

Get the nth composite number

Function Resource: DualPart

Get the dual part of a dual number

Function Resource: ProvablePrimeQ

Certify a number as provably prime

Function Resource: ComplexToPolar

Get a complex number in polar form or polar exponential form

Function Resource: Fibbinary

Get the fibbinary sequence

Function Resource: BernoulliBTree

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

Function Resource: DigitSum

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

Function Resource: FractionMod

Get a congruent integer for a given fraction and modulus

Function Resource: FactorIntegerFermat

Factor an integer using Fermat's factorization algorithm

Function Resource: TotalSignedCurvature

Compute the total signed curvature of a curve

Function Resource: DyckWords

Give all possible ways to form proper brackets

Function Resource: RamanujanC

Evaluate Ramanujan's sum

Function Resource: NumeralRepresentation

Display a representation of an integer in a specified number system

Function Resource: GraphPolynomial

Get the polynomial with coefficients giving the number of nonisomorphic graphs for a given number of vertices

Function Resource: DniIntegerForm

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

Function Resource: GenerateSmoothNumbers

Generate smooth numbers up to some maximum

Function Resource: Tetration

Compute the order-k tetration of a number

Function Resource: PerfectGraphQ

Test whether a graph is perfect

Function Resource: ElementDesignator

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

Function Resource: MapSelectCounted

Map a function over selected elements of a list, also passing in a running count of such elements

Function Resource: ColorGraphVertices

Color the vertices in a graph with no adjacent vertices sharing a color

Function Resource: PythagoreanTripleQ

Determine whether a triple of integers constitutes a Pythagorean triple

Function Resource: RightTriangleQ

Determine whether a list of side lengths can form a right triangle

Function Resource: ValidIBANQ

Verify an IBAN's validity

Data Resource: Dust Frequency by WMO Station

Average annual and monthly number of days with dusty weather for Iran, Jordan, and Saudi Arabia

Function Resource: SpanningTreeCount

Count the number of labeled spanning trees in a graph

Function Resource: DotPlot

Create a dot plot for a set of real-valued univariate data

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: RootDegree

Get the polynomial degree of an algebraic number

Function Resource: Totatives

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

Function Resource: PartitionRank

The largest part minus the number of parts of a partition

Function Resource: EntityClassDimensions

Produce a list with the number of entities in an entity class and the number of properties possessed by each entity therein

Function Resource: Sumset

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

Function Resource: CircularPrimeQ

Test whether an integer is a circular prime

Function Resource: UlamMatrix

Generate the Ulam matrix

Function Resource: ClosestPrime

Find the prime integer closest to a number

Function Resource: RegularPolygonDiagonals

Find the number of diagonals of a regular polygon

Function Resource: HexStringToReal

Convert a hexadecimal string to a real number

Function Resource: ArgHue

Map the argument of a complex number to a color

Function Resource: RoundAwayFromZero

Round a number away from zero

Function Resource: NotebookWordCount

Count the number of words in a notebook document

Function Resource: SentenceCount

Count the number of sentences in a string of text

Function Resource: PermutationCountByCycleLength

Calculate the number of permutations of the specified cycle length counts

Function Resource: SquareSpiralPoints

Get the coordinates of the points on a square spiral with sides parallel to the axes

Function Resource: PascalsTriangle

Display a given number of rows in Pascal's triangle

Data Resource: Hospital Beds Per US State

Time series data for number of beds per US state for 1000 inhabitants by ownership type

Data Resource: Published Papers Per Year on Cellular Automata

A time series of the number of papers published on cellular automata by year from 1974 through 2015

Function Resource: DeBruijnNewmanH

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

Function Resource: SmallestPartsFunction

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

Function Resource: SchmidtArrangements

Generate Schmidt arrangements of circles

Function Resource: FindProperColorings

Find all proper k-colorings of a specified graph

Function Resource: BinomialMod

Efficient computation of a binomial coefficient modulo a given number

Function Resource: NecklaceCount

Count the number of distinct necklaces made with beads of different colors

Function Resource: IntegerCompositions

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

Function Resource: SignChart

Get a number line diagram with information about where a function is positive, negative, zero or discontinuous

Function Resource: RandomSplit

Randomly divide a list into a specified number of segments

Function Resource: FunctionPeriodPlot

Plot a given number of periods of a periodic function

Function Resource: PolynomialDegree

Compute the degree of a polynomial in any number of variables

Function Resource: BinaryIteratedLog

Get the binary iterated logarithm of a positive number

Function Resource: LimitEcho

Limit the number of Echo outputs per evaluation

Function Resource: DiagonalIntersectionsCount

Find the number of intersections of the diagonals of a regular polygon

Function Resource: DivisorHasseDiagram

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

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: LuckyNumbers

Get a list of lucky numbers

Function Resource: BKKRootBound

Compute the BKK bound on the number of isolated complex solutions of a square polynomial system

Function Resource: ExponentLift

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

Function Resource: DienesBlock

Create a Dienes block visualization of an integer in any base

Function Resource: PrimeQCertificateCheck

Test if a certificate can be used for ascertaining the primality or compositeness of a number

Function Resource: StandardDragCurve

One of the more popular functions to describe the conventional correlation for the drag on a sphere in steady motion

Function Resource: LehmerCodeFromPermutation

Create the Lehmer code corresponding to a given permutation

Function Resource: RealToHexString

Get a string representing the hexadecimal form of a real number

Function Resource: ReplaceNaN

Replace all IEEE 754 NaN values in an array with custom representations

Function Resource: NaNQ

Test if a numeric value is an IEEE 754 NaN

Function Resource: ArcCotDegree

Compute the inverse cotangent of a number and return a result in degrees

Function Resource: PolynomialTotalDegree

Get the total degree of a polynomial in any number of variables

Function Resource: SecondsToday

Fractional number of seconds that have elapsed since midnight

Function Resource: LeibnizHarmonicTriangle

Display a given number of rows in the Leibniz harmonic triangle

Function Resource: ArcCosDegree

Compute the inverse cosine of a number and return a result in degrees

Function Resource: AlkaneIsomers

Generate all alkanes with a given number of carbon atoms

Function Resource: LimitedMessage

Issue a message a customized number of times per evaluation

Function Resource: ArcSinDegree

Compute the inverse sine of a number and return a result in degrees

Function Resource: RegularPolygonRegionCount

Find the number of regions partitioned by the diagonals of a regular polygon

Function Resource: ComplexRoots

Get the full list of complex nth roots of a number

Function Resource: InversionCount

Count the number of pairs of out-of-order elements in a permutation

Function Resource: NthDigit

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

Function Resource: ArcTanDegree

Compute the inverse tangent of a number and get a result in degrees

Function Resource: AntiSimplify

Make a number or expression more complicated—the opposite of Simplify

Function Resource: ArcSecDegree

Compute the inverse secant of a number and return a result in degrees

Function Resource: ArcCscDegree

Compute the inverse cosecant of a number and return a result in degrees

Function Resource: TextTake

Take a section of text specified by a number and textual unit

Function Resource: GraphCoordinationSequence

Find the number of vertices at each distance in a symmetric graph

Function Resource: ReactionMolecularity

Compute the number of reactants involved in a balanced chemical reaction

Function Resource: OEISSequence

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

Function Resource: HeegnerPrime

Convert integer tuples into Heegner field primes when applicable

Function Resource: QuadraticResidues

Compute the quadratic residues of an integer

Function Resource: PerfectPower

Find all perfect power representations of an integer

Function Resource: PerfectPowerQ

Determine whether a given integer is a perfect power

Function Resource: CousinPrimes

Get the pairs of primes that differ by 4

Function Resource: SexyPrimes

Get the pairs of primes that differ by 6

Function Resource: FrobeniusSymbolFromPartition

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

Function Resource: PartitionFromFrobeniusSymbol

Construct the corresponding partition, given a Frobenius symbol

Function Resource: IntegerRadical

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

Function Resource: SecondsToQuantity

Convert a number representing seconds to a quantity of time in an appropriate unit

Function Resource: CycleLengthCounts

Count the number of cycles for all possible cycle lengths in a permutation

Function Resource: LimitedCache

Cache computations like Once but with a maximum number of cached values

Function Resource: ButcherTreeCount

Get a list of the number of Butcher trees through a given order

Function Resource: ConformColors

Create a list of colors of the same type and same number of arguments

Function Resource: NumericalMethodFindRoot

Find the root of an equation or number using a specified numerical method

Function Resource: RandomSampleOf

Randomly select a given number of elements from a list or expression

Function Resource: ArgumentCount

Count the number of arguments a pure function or compiled function takes

Function Resource: HexagonalTorusGraph

Get a skew graph on a torus with a given number of hexagonal cells

Function Resource: KryptoGame

Reach a goal number using given numbers and simple operands

Function Resource: BarningHallTreePosition

Finds the position of a primitive Pythagorean triple in Barning-Hall tree

Function Resource: VersionOrder

Compare two version numbers to determine their order

Function Resource: MagicCube

Generate a magic cube

Function Resource: RandomDyckWord

Generate a pseudorandom Dyck word

Function Resource: Game24Solutions

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

Function Resource: InverseSigmaConfidenceLevel

Calculate the number of standard deviations of a normal distribution that correspond to a confidence level

Function Resource: FindGroupIsomorphism

Find up to a specified number of isomorphisms between two permutation groups

Function Resource: AlkaneName

Generate the name of the straight-chain alkane with the specified number of carbon atoms

Function Resource: SupportSizeEstimate

Estimate the full size of a set given the number of distinct results in a sample

Function Resource: InactiveSumOfPowers

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

Function Resource: RadicalInverse

Compute the radical inverse of an integer to a given base

Function Resource: ZetaSimplify

Simplify zeta functions in expressions

Function Resource: FromNegabinary

Recover an integer from its negabinary representation

Function Resource: PartitionCrank

Get Dyson's crank of an integer partition

Function Resource: ToNegabinary

Get the negabinary representation of an integer

Function Resource: UlamSequence

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

Function Resource: CompleteTheSquare

Complete the square of a quadratic polynomial having any number of variables but with no mixed terms

Function Resource: ButcherTreeData

Get characteristics of Butcher trees, such as the height, width, order, density and number of labelings

Function Resource: CommonChemistryLookup

Look up a substance's CAS Registry Number in the CAS Common Chemistry database

Data Resource: Infectious Diseases by Country 2009-2014

Number of reported, suspected and reported, and/or newly reported cases to the World Health Organization of selected contagious or infectious diseases like mumps and rubella by country from 2009 to 2014.

Function Resource: LatticePointsArrangement

Get lattice points in a variety of arrangements

Function Resource: HalfGCD

Compute the half-GCD of a pair of integers

Function Resource: TetrationMod

Get the mod value of large exponential towers

Function Resource: IntegerPartitionQ

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

Function Resource: FareyRange

Generate a list of fractions with a bounded denominator

Function Resource: CombinatorEvolve

Evolve a combinator expression for a certain number of steps based on defined rules and an evaluation scheme

Function Resource: DeclareArgumentCount

Set up a symbol to give an error message when called with an unexpected number of arguments

Function Resource: VizingEdgeColoring

Give a simple undirected graph a proper edge coloring using at most one color more than necessary

Function Resource: RecurringDecimalForm

Display a number in decimal form so that recurring digit sequences are highlighted and displayed only once

Function Resource: Goldbach

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

Function Resource: BinetFibonacci

Generalize the Fibonacci numbers for complex inputs using Binet's Fibonacci formula

Function Resource: TwinPrimes

Get the pairs of primes that differ by 2

Function Resource: Alphametic

Solve an alphametic puzzle

Function Resource: LargestPrimeGap

Give the greatest gap between the primes up to the argument

Function Resource: Fractran

Interpret the FRACTRAN esoteric programming language

Function Resource: CombinatorEvolveList

Show evolution of a combinator expression for a certain number of steps based on defined rules and an evaluation scheme

Data Resource: Sample Data: US Arrests

Number of arrests per 100,000 residents for assault, murder and rape in each of 50 U.S. states in 1973 and percentage of population living in urban areas for each state

Function Resource: ColorWinding

Find the number of times the domain coloring of a function wraps around the color wheel along a given curve

Function Resource: Mediant

Compute the mediant of a list of non-negative rationals

Function Resource: PlouffeP

Get the value of the Plouffe P function

Function Resource: NextIntegerComposition

Get the next composition of an integer in canonical order

Function Resource: StrictIntegerCompositions

Generate the zero-free compositions of a positive integer

Function Resource: SimultaneousRationalize

Approximately rationalize a set of numbers to give a common denominator

Function Resource: EgyptianFraction

Compute Egyptian fractions using different methods

Function Resource: InverseGrayCode

Find the integer corresponding to a given Gray code

Function Resource: FormatFactorization

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

Neural Net Resource: SqueezeNet-3D Trained on Video Datasets

Identify the main action in a video

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: KSetPartitions

Give all possible ways to partition a set into a given number of subsets, ignoring order of blocks and within blocks

Function Resource: WinLossChart

Create a simple bar chart that shows the number of items in a list that fit set criteria compared to those that do not

Function Resource: FaurePoint

Get a point belonging to the Faure sequence

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: EisensteinFactorInteger

Factor an integer into powers of Eisenstein primes

Function Resource: CatalanRank

Find the rank of a totally balanced binary sequence

Function Resource: PowerTowerMod

Give the remainder on division of a power tower expression

Function Resource: DobbleSets

Generate a set of integers that can create Dobble cards

Function Resource: SmallIntegerLinearSolve

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

Function Resource: Collatz

Get the Collatz sequence starting with a given value

Function Resource: EisensteinE

Evaluate the Eisenstein series

Function Resource: ItemCounts

A two-argument form of Counts that gives an association between a set of provided keys and the number of times those keys appear in a list

Function Resource: RandomSafePrime

Compute one or more safe primes in a requested range

Function Resource: GramianReduce

Find a unimodular conversion matrix corresponding to a lattice Gramian matrix

Function Resource: ReasonableRuler

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

Neural Net Resource: Enhanced Super-Resolution GAN Trained on DIV2K, Flickr2K and OST Data

Increase the resoution of an image

Data Resource: Sample Data: North Derbyshire Asthma

Locations of the residence of asthmatic (cases) and non-asthmatic (controls) children, annotated with marks including number of household smokers, subject type (case or control), hay fever occurrence, age, distance to the nearest road, distance to pollution sources 1, 2, and 3

Function Resource: QuantumTensorAutomaton

A quantum cellular automaton model that evolves the tensor product of a collection of initial qubits using arbitrary compositions of unitary operators for a finite number of steps

Function Resource: Cos2PiOverFermatPrime

Closed form of cos(2π/p) where p is a Fermat prime (3, 5, 17, 257, 65537) a la Gauss

Function Resource: SolveSudokuPuzzle

Solve a sudoku puzzle

Function Resource: FactorGraph

Get a graph representation for the factorization of an integer

Function Resource: RandomMatrix

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

Function Resource: SpaceWeatherData

Get time-dependent data for a variety of space weather properties

Neural Net Resource: ForkNet Brain Segmentation Net Trained on NAMIC Data

Segment an image of a human brain into different anatomical structures

Function Resource: EisensteinIntegers

Support arithmetic operations for pairs of Eisenstein integers

Data Resource: Child Mortality Numbers by Measles 2015

Child mortality numbers caused by measles by country.

Data Resource: Child Mortality from Malaria

Child mortality numbers caused by malaria by country.

Data Resource: US County Suicide Data 1999-2013

Data on suicides by US County from 1999-2013

Data Resource: Child Mortality from HIV/AIDS

Child mortality numbers caused by HIV/AIDS by country.

Data Resource: US Public Housing Authorities 2016

2016 HUD public housing authority data

Data Resource: USDA Rural Housing Active Projects

Data on the USDA's rental properties and labor housing types

Data Resource: Three-Color Cellular Automaton Rules that Double Their Input

A list of rules for k=3 cellular automata that eventually double a block of gray input cells

Data Resource: U.S. Baby Names By State

A comprehensive list of frequencies of baby names in the U.S, listed by year and state, since 1910

Data Resource: Public Housing Developments 2015

HUD's PD&R (Office of Policy Development and Research) is responsible for maintaining current information on housing needs, market conditions, and existing programs, as well as conducting research on priority housing and community development issues. The Office provides reliable and objective data and analysis to help inform policy decisions. PD&R is committed to involving a greater diversity of perspectives, methods, and researchers in HUD research.

Data Resource: Online Social Network

Social network of an online community

Data Resource: American College Football Network

Network of American football games between Division IA colleges

Function Resource: CatalanUnrank

Find the totally balanced binary sequence for a given rank

Data Resource: Hospital Medicare Spending by Claim 2014

Medicare spending per beneficiary (MSPB) by insurance claim type by hospital along with averages and percentage comparisons.

Data Resource: World Cup 1988 Network

Network describing the 22 soccer teams which participated in the World Cup in Paris 1998

Data Resource: Commuter-Adjusted Daytime Population by U.S. State

2006-2010 data on daytime commuting patterns in the U.S.

Data Resource: Second DIMACS P-Hat Graph 8

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS P-Hat Graph 9

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Global Landslide Catalog

The Global Landslide Catalog considers all types of mass movements triggered by rainfall, which have been reported in the media, disaster databases, scientific reports, or other sources.

Data Resource: Sample Data: Abalone Measurements

Predict the age of abalone from physical measurements

Data Resource: Second DIMACS P-Hat Graph 7

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS P-Hat Graph 3

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS P-Hat Graph 14

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS P-Hat Graph 5

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS P-Hat Graph 4

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS P-Hat Graph 2

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS P-Hat Graph 11

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS P-Hat Graph 13

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS P-Hat Graph 1

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS P-Hat Graph 12

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS P-Hat Graph 6

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS P-Hat Graph 15

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS P-Hat Graph 10

The Second DIMACS Implementation Challenge: 1992-1993

Paclet Resource: StianRamsnes/MaXrd

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

Data Resource: Spoken Digit Commands

A dataset consisting of recordings of spoken digits

Data Resource: Eurovision Votes Network

Network of votes in the Eurovision song contest

Data Resource: Sample Data: Car Evaluation

Predicting car acceptability by attribute.

Data Resource: Equity in U.S. GED Programs

A report on the equity of school districts and their GED programs across the U.S. during the 2013-14 school year

Data Resource: MLS Players' Salaries

The Major League Soccer Players Union serves as the exclusive collective bargaining representative for all current players in Major League Soccer. Formed in April 2003, the Union ensures protection of the rights of all MLS Players, while also promoting their best interests.

Data Resource: Commuter-Adjusted Daytime Population by U.S. County

2006-2010 data on daytime commuting patterns in the U.S.

Function Resource: SphericalVoronoiDiagram

Show the spherical Voronoi diagram of a set of points on a sphere

Data Resource: Commuter-Adjusted Daytime Population by U.S. Place

2006-2010 data on daytime commuting patterns in the U.S.

Data Resource: Disease Gene Network

A network of disease genes linked by known disorder-gene associations

Function Resource: TapeDiagram

Visualize fractions, integers and multiplication using tape diagrams

Data Resource: Human Disease Network

A network of human diseases linked by known disorder-gene associations

Function Resource: DerivativeSignCharts

Get a grid of sign charts for a function and its first and second derivatives

Function Resource: PowerTriangulation

Generate the power triangulation of a set of circles

Data Resource: Human Cell Counts

BioNumbers

Function Resource: SolutionRulesToFunctions

Convert a rule between expressions that depend on one or more variables to a pure function rule

Function Resource: PowerDiagram

Generate the power diagram of a set of circles

Function Resource: FullSimplifyFunction

Convert a pure function into a simpler form

Data Resource: Project Tycho Level 1 Data

Data from all weekly notifiable disease reports for the United States dating back to 1888. Level 1 data have been custom tailored for specific analyses.

Function Resource: FromCharacterName

Get a string character from its name

Paclet Resource: ZigangPan/RouthHurwitz

The true Routh Hurwitz test and more

Function Resource: BarningHallTree

Generate primitive Pythagorean triples in a tree form using Fibonacci matrices

Function Resource: RandomBinaryTree

Generate a random binary tree

Function Resource: SchultzMTI

Compute the Schultz molecular topological index of an undirected graph or a molecule

Paclet Resource: Jlaragonvera/CGAlgebra

Calculations on conformal geometric algebra

Function Resource: GeneralizedDMSString

Convert an angle into a customizable degree-minute-second string

Function Resource: SzegedIndex

Compute the Szeged index of an undirected graph or a molecule

Function Resource: HosoyaZ

Compute the Hosoya Z index of a graph

Function Resource: AcentricFactor

Estimate the acentric factor of a substance

Function Resource: SerialRandomnessTest

Conduct an empirically derived test that assesses randomness using the frequencies of serial combinations of 0s and 1s

Function Resource: BinaryRunRandomnessTest

Conduct a runs–based test on a sequence of zeros and ones

Function Resource: CUSUMMaxRandomnessTest

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

Function Resource: NoiseSphere

Visualize the noise sphere of a set of random numbers

Function Resource: MultiplicativePersistence

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

Function Resource: LunarEclipseStarChart

Visualize the Earth's umbra and penumbra in the sky

Function Resource: TakagiT

Evaluate the Takagi function

Function Resource: DistinctCompactBinaryHuffmanCode

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

Function Resource: SzegedMatrix

Compute the Szeged matrix of an undirected graph or a molecule

Data Resource: Raw Data For The Long Term Selection Experiment For Oil And Protein In Corn

Raw data from each ear analyzed each year of the Illinois long-term selection experiment for oil and protein in corn (1896-2004)

Data Resource: Sample Data: Satellite

Classify the type of land surface of a scene photographed by the Landsat MSS satellite given four digital images of the scene taken in different spectral bands

Data Resource: Video Games

Dataset from the Internet Games Database API as of June 2018

Function Resource: EpidemicModel

Generate an interactive tool for visualizing various compartment-based epidemiological models

Function Resource: DecorrelationStretch

Apply a decorrelation stretch to an image

Function Resource: NSolveByMonodromy

Numerically solve for isolated roots of a square system of polynomial equations using monodromy