Category

Higher Mathematical Computation

60 items

• AlgebraicSubstitutionTiling

Return a substitution tiling

• BesselSimplify

Simplify Bessel functions in expression

• BinaryCodedTernary

Self-delimiting number representation

• BitBooleanFunction

Apply a Boolean function to corresponding bits in integers

• ChaosGame

Plot iterations for the 2D chaos game

• ClausenCl

Compute the Clausen functions

• Collatz

Get the Collatz sequence starting with a given value

• ComplexTransformImage

Add a complex transformation to an image

• CyclicTagSystem

Compute the evolution of a cyclic tag system

• EgyptianFraction

Compute Egyptian fractions using different methods

• EulerianNumber

Gives the number of permutations with a given number of ascents

• FactorGraph

Get a graph representation for the factorization of an integer

• FindGroupIsomorphism

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

• FormatFactorization

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

• FrobeniusSymbolFromPartition

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

• FubiniNumber

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

• GeneralizedChaosGame

Create fractals by random partial jumps towards reference points

• Goldbach

Get all representations of an even integer as sums of two primes

• HappyNumberQ

Tests whether an integer is a happy number

• HookLengths

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

• IntegerPartitionQ

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

• KSetPartitions

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

• LargestPrimeFactor

Find the largest prime factor of a given integer

• LehmerCodeFromPermutation

Create the Lehmer code corresponding to a given permutation

• LSystemPlot

Display a L-system

• LuckyNumbers

Get a list of lucky numbers

• MobileAutomatonPlot

Visualization of the evolution of a mobile automaton

• MobileAutomatonRulePlot

Generate the rule icon for a mobile automaton

• ModusPonensToEquational

Convert an axiom system from modus ponens to equational form

• MultisetCardinality

Determine the cardinality for a multiset

• MultisetComplement

Perform the complement operation on multisets

• MultisetInclusionQ

Test whether or not one multiset is included in another multiset

• MultisetIntersection

Perform the intersection operation on multisets

• MultisetProduct

Perform the product operation on multisets

• MultisetSum

Perform the sum operation on multisets

• MultisetSupport

Determine the support for a multiset

• MultisetSymmetricDifference

Gives the symmetric difference of the given lists

• MultisetUnion

Perform the union operation on multisets

• NInverseFourierTransform

Find a numerical approximation for the inverse Fourier transform

• PartitionFromFrobeniusSymbol

Given a Frobenius symbol, construct the corresponding partition

• PascalsTriangle

displays a given number of rows in Pascal’s triangle

• PenroseTile

Make plots of Penrose tiles

• PhiNumberSystem

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

• PrimeQCertificateCheck

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

• ProvablePrimeQ

Certify a number as provably prime

• RaggedDigitsPlot

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

• RationalInterpolation

Find a rational interpolation of a function

• SequentialSubstitutionSystem

Compute the evolution of a sequential substitution system

• SequentialSubstitutionSystemPlot

Visualization of the evolution of a sequential substitution system

• SequentialSubstitutionSystemRulePlot

Generate the rule icon for a sequential substitution system

• SimplexMeasure

Get the measure of a simplex or simplicial complex

• StandardSimplex

Get the standard simplex for a specified dimension

• StemLeafPlot

Construct a stem-and-leaf diagram

• SymbolicSystem

Get the evolution of a symbolic system

• TagSystem

Compute the evolution of a tag system

• TagSystemRulePlot

Generate the rule icon for a tag system

• TwinPrimes

Get a list of twin primes

• UlamSequence

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

• ZeckendorfRepresentation

Gives the 0-1 list that indicates the unique nonconsecutive Fibonacci numbers that sum to the nonnegative integer input