Wolfram Resource System

Search the Wolfram Resource System

Search the Wolfram Resource System

Paclet Resource: Wolfram/Lazy

Lazy computation

Paclet Resource: PeterBurbery/RecreationalMathematics

This paclet is for recreational mathematics and math puzzles

Paclet Resource: PeterBurbery/CoreLanguageAndStructureFunctionality

Additional functionality for the core language and structure of Mathematica

Paclet Resource: PeterBurbery/AssociationFunctions

Functions for modifying associations

Paclet Resource: KlausSutner/Automata

Automata theory package

Paclet Resource: Bob/Games

A collection of games

Function Resource: PseudoConjugatePartition

Compute the pseudo-conjugate of an integer partition

Function Resource: PartitionCrank

Get Dyson's crank of an integer partition

Function Resource: PartitionFromFrobeniusSymbol

Construct the corresponding partition, given a Frobenius symbol

Function Resource: FrobeniusSymbolFromPartition

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

Function Resource: AssociationPartition

Partition an association into a list of associations

Function Resource: ConjugatePartition

Switch the rows and columns of a partition

Function Resource: PartitionRank

The largest part minus the number of parts of a partition

Function Resource: RandomIntegerPartition

Generate a random partition of an integer

Function Resource: SetPartitionRefinement

Refine a partition of a set

Function Resource: PartitionByCooccurence

Find the best-fitting partitions for a list of groups using co-occurrence counts

Function Resource: NextIntegerPartition

Get the next partition of an integer in reverse lexicographic order

Function Resource: PartitionWhile

Partition a list by a condition on the sublists

Function Resource: RatioPartition

Partition a list into sublists with lengths proportional to weights in another list

Function Resource: IntegerPartitionQ

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

Function Resource: RandomPartition

Cut a list into random segments

Function Resource: DurfeeSquare

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

Function Resource: NearEqualPartition

Partition a list into roughly equal lengths

Function Resource: DominatingIntegerPartitionQ

Determine if one integer partition dominates another

Function Resource: TimeSeriesPartition

Partition a time series into non-overlapping segments

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: SetPartitions

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

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: FerrersVennDiagram

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

Function Resource: FerrersDiagram

Display the Ferrers diagram of a partition with dots

Example Resource: Analyze Components and Connectivity of Molecule Graphs

Create the graph underpinning a molecule and visualize cycles, partitions and communities in the graph

Function Resource: CongruentIncirclePartition

Find the partition of a triangle into cevian triangles with congruent incircles

Function Resource: SmallestPartsFunction

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

Function Resource: Immanant

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

Function Resource: StrictIntegerCompositions

Generate the zero-free compositions of a positive integer

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: RandomSplit

Randomly divide a list into a specified number of segments

Function Resource: EveryOther

Split a list into two sublists, gathering every other element of the list

Function Resource: StandardYoungTableaux

Enumerate all standard Young tableaux of a given shape

Function Resource: MapBatched

Divide a Map operation into batches, performing an evaluation between batches

Function Resource: Equisample

Sample evenly spaced elements from a list

Function Resource: SubsetsWithComplements

Get a list of subsets of a list along with their complements

Function Resource: EquivalenceClasses

Compute the equivalence classes associated with a given set of elementwise identifications

Function Resource: SequenceSelect

Find sublists satisfying a criterion

Function Resource: FirstRest

Conveniently get both the first and remaining elements

Function Resource: RandomBinMove

Randomly move an item between lists in a collection

Function Resource: ParkingFunctionQ

Determine whether a list of positive integers is a valid parking function

Function Resource: MatrixFormDivided

Add row and column dividing lines to MatrixForm

Function Resource: SchurS

Evaluate the Schur polynomial corresponding to an integer partition

Function Resource: GatherByIndex

Combine items into sublists based on their position

Function Resource: HookLengths

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

Function Resource: BlockSubmatrices

Decompose a matrix into a comprehensive set of smaller matrices

Function Resource: TracySinghProduct

Calculate the Tracy–Singh product of two matrices

Data Resource: 1911 Encyclopedia Britannica

Plaintext of the complete Encyclopedia Britannica Eleventh Edition (1910-11)

Function Resource: QuadtreeImageDecomposition

Quadtree decomposition of an image

Function Resource: BisectList

Make a pair of lists consisting of alternate terms from the original list

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: OrderlessCombinations

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

Function Resource: SchroederSublistRank

Rank a nested sublist

Function Resource: PalindromicTripleSum

Compute three palindromic numbers adding to a given integer

Function Resource: SchroederSublistByRank

Transform a flat list into a nested sublist with a given structure rank

Example Resource: Carbon Atomic Transitions within the Visible Spectrum

Create different visualizations of state transitions in neutral carbon using SpectralLineData

Function Resource: SplitWhen

Split a list every time an element satisfies a test

Function Resource: SplitByIndexed

A function like SplitBy, but with added support for using the indices of the elements in the list

Function Resource: SplitAtPositions

Split a list at specific indices

Function Resource: RegularPolygonRegionCount

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

Function Resource: ParityPairings

List all possible partitions of a list into disjoint pairs

Function Resource: CycleLengthCountList

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

Function Resource: AssociationKeyDeflatten

Deflatten the keys in a flat Association to create a nested Association

Function Resource: IntegerCompositions

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

Function Resource: HypergraphToGraph

Convert a hypergraph to a graph with the same distance matrix

Function Resource: VertexStratify

Partition the vertices of a directed acyclic graph into time-ordered level sets

Function Resource: FubiniNumber

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

Example Resource: Analyze the Frequency and Magnitude of Earthquakes

Explore the distribution of earthquake magnitudes recorded over a period of time

Function Resource: Game24Solutions

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

Function Resource: RandomBins

Distribute a list into random bins

Function Resource: StringOverlaps

Find substrings that overlap between strings

Function Resource: Interleave

Combine multiple lists into a single list by interleaving their elements in sequence

Function Resource: MolecularGraphAutocorrelation

Compute molecular graph autocorrelation vectors, convolved over atomic properties

Function Resource: LieIrrepDimension

Get the classical or quantum dimension of an irreducible representation of a simple complex Lie algebra