section 3pm · Library functions 📚

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M (continued)

Math::GSL::PowInt(3pm)Integer Power functions✨
Math::GSL::QRNG(3pm)Quasi-random number generators✨
Math::GSL::Randist(3pm)Probability Distributions✨
Math::GSL::RNG(3pm)Random Number Generators✨
Math::GSL::Roots(3pm)Find roots of arbitrary 1-D functions✨
Math::GSL::Rstat(3pm)Running Statistical functions✨
Math::GSL::SF(3pm)Special Functions✨
Math::GSL::Siman(3pm)Simulated Annealing✨
Math::GSL::Sort(3pm)Functions for sorting data✨
Math::GSL::SparseMatrix(3pm)Sparse Matrices✨
Math::GSL::Spline(3pm)Splines✨
Math::GSL::Statistics(3pm)Statistical functions✨
Math::GSL::Sum(3pm)Sum series with the Levin u-transform✨
Math::GSL::Sys(3pm)Misc Math Functions✨
Math::GSL::Test(3pm)Assertions and such✨
Math::GSL::Vector(3pm)Functions concerning vectors✨
Math::GSL::VectorComplex(3pm)Complex Vectors✨
Math::GSL::Wavelet(3pm)1-D (Real) Wavelets✨
Math::GSL::Wavelet2D(3pm)2-D Wavelets✨
Math::Int128(3pm)Manipulate 128 bits integers in Perl✨
Math::Int128::die_on_overflow(3pm)catch overflows when using Math::Int128✨
Math::Int64(3pm)Manipulate 64 bits integers in Perl✨
Math::Int64::die_on_overflow(3pm)catch overflows when using Math::Int64✨
Math::Int64::native_if_available(3pm)Use the native Perl 64-bit integer implementation when available✨
Math::Libm(3pm)Perl extension for the C math library, libm✨
Math::libPARI(3pm)Functions and Operations Available in PARI and GP✨
Math::libPARI.dumb(3pm)Functions and Operations Available in PARI and GP✨
Math::Matrix::MaybeGSL(3pm)Uniform use of Math::MatrixReal and Math::GSL::Matrix.✨
Math::MatrixReal(3pm)Matrix of Reals Implements the data type "matrix of real numbers" (and consequently also "vector of real numbers").✨
Math::MPFR(3pm)perl interface to the MPFR (floating point) library.✨
Math::NoCarry(3pm)Perl extension for no-carry arithmetic✨
Math::NumberCruncher(3pm)Collection of useful math-related functions.✨
Math::NumSeq(3pm)number sequences✨
Math::NumSeq::Abundant(3pm)abundant numbers, greater than sum of divisors✨
Math::NumSeq::AlgebraicContinued(3pm)continued fraction expansion of algebraic numbers✨
Math::NumSeq::All(3pm)all integers✨
Math::NumSeq::AllDigits(3pm)digits of the integers✨
Math::NumSeq::AllPrimeFactors(3pm)prime factors of the integers✨
Math::NumSeq::AlmostPrimes(3pm)semiprimes and other fixed number of prime factors✨
Math::NumSeq::AsciiSelf(3pm)sequence is its own ASCII digits✨
Math::NumSeq::BalancedBinary(3pm)balanced 1,0 bits✨
Math::NumSeq::Base::IterateIth(3pm)iterate by calling ith() successively✨
Math::NumSeq::Base::IteratePred(3pm)iterate by searching with pred()✨
Math::NumSeq::BaumSweet(3pm)Baum-Sweet sequence✨
Math::NumSeq::Beastly(3pm)numbers containing digits "666"✨
Math::NumSeq::Catalan(3pm)Catalan numbers (2n)! / (n!*(n+1)!)✨
Math::NumSeq::CollatzSteps(3pm)steps in the "3n+1" problem✨
Math::NumSeq::ConcatNumbers(3pm)concatenate digits of i, i+1✨
Math::NumSeq::Cubes(3pm)cubes i**3✨
Math::NumSeq::CullenNumbers(3pm)Cullen numbers i*2^i+1✨
Math::NumSeq::DedekindPsiCumulative(3pm)cumulative Psi function✨
Math::NumSeq::DedekindPsiSteps(3pm)psi function until 2^x*3^y✨
Math::NumSeq::DeletablePrimes(3pm)primes on deleting a digit repeatedly✨
Math::NumSeq::DigitCount(3pm)count of a given digit✨
Math::NumSeq::DigitCountHigh(3pm)count of given high digits✨
Math::NumSeq::DigitCountLow(3pm)count of given low digits✨
Math::NumSeq::DigitLength(3pm)length in digits✨
Math::NumSeq::DigitLengthCumulative(3pm)total length in digits of numbers 1 to i✨
Math::NumSeq::DigitProduct(3pm)product of digits✨
Math::NumSeq::DigitProductSteps(3pm)multiplicative persistence and digital root✨
Math::NumSeq::DigitSum(3pm)sum of digits, possibly with powering✨
Math::NumSeq::DigitSumModulo(3pm)digit sum taken modulo a given modulus✨
Math::NumSeq::DivisorCount(3pm)how many divisors✨
Math::NumSeq::DuffinianNumbers(3pm)no common factor with sum of divisors✨
Math::NumSeq::Emirps(3pm)primes backwards and forwards✨
Math::NumSeq::ErdosSelfridgeClass(3pm)Erdos-Selfridge classification of primes✨
Math::NumSeq::Even(3pm)even integers✨
Math::NumSeq::Expression(3pm)mathematical expression values✨
Math::NumSeq::Factorials(3pm)factorials i! = 1*2*...*i✨
Math::NumSeq::Fibbinary(3pm)without consecutive 1-bits✨
Math::NumSeq::FibbinaryBitCount(3pm)number of bits in each fibbinary number✨
Math::NumSeq::Fibonacci(3pm)Fibonacci numbers✨
Math::NumSeq::FibonacciRepresentations(3pm)count of representations by sum of Fibonacci numbers✨
Math::NumSeq::FibonacciWord(3pm)0/1 related to Fibonacci numbers✨
Math::NumSeq::File(3pm)sequence read from a file✨
Math::NumSeq::FractionDigits(3pm)the digits of a fraction p/q✨
Math::NumSeq::GolayRudinShapiro(3pm)parity of adjacent 11 bit pairs✨
Math::NumSeq::GolayRudinShapiroCumulative(3pm)cumulative Golay/RudinShapiro sequence✨
Math::NumSeq::GoldbachCount(3pm)number of representations as sum of primes P+Q✨
Math::NumSeq::GolombSequence(3pm)sequence is its own run lengths, 1 upwards✨
Math::NumSeq::HafermanCarpet(3pm)bits of the Haferman carpet✨
Math::NumSeq::HappyNumbers(3pm)reaching 1 under repeated sum of squares of digits✨
Math::NumSeq::HappySteps(3pm)number of sum of squares of digits iterations to reach a repeat✨
Math::NumSeq::HarshadNumbers(3pm)numbers divisible by sum of digits✨
Math::NumSeq::HofstadterFigure(3pm)sequence excludes its own first differences✨
Math::NumSeq::JugglerSteps(3pm)steps in the juggler sqrt sequence✨
Math::NumSeq::KlarnerRado(3pm)Klarner-Rado sequences✨
Math::NumSeq::Kolakoski(3pm)sequence of 1s and 2s its own run lengths✨
Math::NumSeq::LemoineCount(3pm)number of representations as P+2*Q for primes P,Q✨
Math::NumSeq::LiouvilleFunction(3pm)Liouville function sequence✨
Math::NumSeq::LucasNumbers(3pm)Lucas numbers✨
Math::NumSeq::LuckyNumbers(3pm)sieved out multiples by the sequence itself✨
Math::NumSeq::MaxDigitCount(3pm)maximum count of a given digit in any radix✨
Math::NumSeq::MephistoWaltz(3pm)Mephisto waltz sequence✨
Math::NumSeq::MobiusFunction(3pm)Mobius function sequence✨
Math::NumSeq::Modulo(3pm)remainders modulo of a given number✨
Math::NumSeq::MoranNumbers(3pm)numbers divided by sum of digits giving a prime✨
Math::NumSeq::Multiples(3pm)multiples of a given number✨
Math::NumSeq::NumAronson(3pm)numerical version of Aronson's sequence✨
Math::NumSeq::Odd(3pm)odd integers✨
Math::NumSeq::OEIS(3pm)number sequence by OEIS A-number✨
Math::NumSeq::OEIS::Catalogue(3pm)available A-numbers✨
Math::NumSeq::OEIS::Catalogue::Plugin(3pm)pluggable catalogue extensions✨
Math::NumSeq::Palindromes(3pm)palindrome numbers like 15351✨
Math::NumSeq::Pell(3pm)Pell numbers✨
Math::NumSeq::Perrin(3pm)Perrin sequence✨
Math::NumSeq::PisanoPeriod(3pm)cycle length of Fibonacci numbers mod i✨
Math::NumSeq::PisanoPeriodSteps(3pm)Fibonacci frequency and Leonardo logarithm✨
Math::NumSeq::PlanePathCoord(3pm)sequence of coordinate values from a PlanePath module✨
Math::NumSeq::PlanePathDelta(3pm)sequence of changes and directions of PlanePath coordinates✨
Math::NumSeq::PlanePathN(3pm)sequence of N values from PlanePath module✨
Math::NumSeq::PlanePathTurn(3pm)turn sequence from PlanePath module✨
Math::NumSeq::PolignacObstinate(3pm)odd integers not prime+2^k✨
Math::NumSeq::Polygonal(3pm)polygonal numbers, triangular, square, pentagonal, etc✨
Math::NumSeq::PowerFlip(3pm)prime exponent flip✨
Math::NumSeq::Powerful(3pm)numbers with certain prime powers✨
Math::NumSeq::PowerPart(3pm)largest square root etc divisor✨
Math::NumSeq::PrimeFactorCount(3pm)how many prime factors✨
Math::NumSeq::PrimeIndexOrder(3pm)order of primeness by primes at prime indexes✨
Math::NumSeq::PrimeIndexPrimes(3pm)primes with prime number indexes✨
Math::NumSeq::Primes(3pm)prime numbers✨
Math::NumSeq::Primorials(3pm)primorials 2*3*...*p[i]✨
Math::NumSeq::Pronic(3pm)pronic numbers✨
Math::NumSeq::ProthNumbers(3pm)Proth number sequence✨
Math::NumSeq::PythagoreanHypots(3pm)hypotenuses of Pythagorean triples✨
Math::NumSeq::RadixConversion(3pm)radix conversion✨
Math::NumSeq::RadixWithoutDigit(3pm)integers without a given digit✨
Math::NumSeq::RepdigitAny(3pm)numbers which are a repdigit in any radix✨
Math::NumSeq::RepdigitRadix(3pm)radix in which i is a repdigit✨
Math::NumSeq::Repdigits(3pm)repdigits 11, 22, 33, etc✨
Math::NumSeq::ReReplace(3pm)sequence of repeated replacements✨
Math::NumSeq::ReRound(3pm)sequence from repeated rounding up✨
Math::NumSeq::ReverseAdd(3pm)steps of the reverse-add algorithm✨
Math::NumSeq::ReverseAddSteps(3pm)steps of the reverse-add algorithm to reach palindrome✨
Math::NumSeq::Runs(3pm)runs of consecutive integers✨
Math::NumSeq::SelfLengthCumulative(3pm)cumulative digit length of own values✨
Math::NumSeq::SophieGermainPrimes(3pm)Sophie Germain primes p and 2*p+1 prime✨
Math::NumSeq::SpiroFibonacci(3pm)recurrence around a square spiral✨
Math::NumSeq::SqrtContinued(3pm)continued fraction expansion of a square root✨
Math::NumSeq::SqrtContinuedPeriod(3pm)period of the continued fraction for sqrt(i)✨
Math::NumSeq::SqrtDigits(3pm)the digits of a square root✨
Math::NumSeq::SqrtEngel(3pm)Engel expansion of a square root✨
Math::NumSeq::Squares(3pm)perfect squares✨
Math::NumSeq::StarNumbers(3pm)star numbers 6*i*(i-1)+1✨
Math::NumSeq::SternDiatomic(3pm)Stern's diatomic sequence✨
Math::NumSeq::Tetrahedral(3pm)tetrahedral numbers i*(i+1)*(i+2)/6✨
Math::NumSeq::Totient(3pm)Euler's totient function, count of coprimes✨
Math::NumSeq::TotientCumulative(3pm)cumulative totients✨
Math::NumSeq::TotientPerfect(3pm)sum of repeated totients is N itself✨
Math::NumSeq::TotientSteps(3pm)count of repeated totients to reach 1✨
Math::NumSeq::TotientStepsSum(3pm)sum of repeated totients to reach 1✨
Math::NumSeq::Triangular(3pm)triangular numbers✨
Math::NumSeq::Tribonacci(3pm)Tribonacci numbers✨
Math::NumSeq::TwinPrimes(3pm)twin primes✨
Math::NumSeq::UlamSequence(3pm)integers uniquely the sum of two previous terms✨
Math::NumSeq::UndulatingNumbers(3pm)numbers with alternating digits ABABAB...✨
Math::NumSeq::WoodallNumbers(3pm)Woodall numbers i*2^i-1✨
Math::NumSeq::Xenodromes(3pm)integers with all digits unique✨
Math::Pari(3pm)Perl interface to PARI.✨
Math::PariInit(3pm)load "Math::Pari" with specified $primelimit and $initmem.✨
Math::PlanePath(3pm)points on a path through the 2-D plane✨
Math::PlanePath::AlternatePaper(3pm)alternate paper folding curve✨
Math::PlanePath::AlternatePaperMidpoint(3pm)alternate paper folding midpoints✨
Math::PlanePath::AlternateTerdragon(3pm)alternate terdragon curve✨
Math::PlanePath::AnvilSpiral(3pm)integer points around an "anvil" shape✨
Math::PlanePath::AR2W2Curve(3pm)2x2 self-similar curve of four patterns✨
Math::PlanePath::ArchimedeanChords(3pm)radial spiral chords✨
Math::PlanePath::AztecDiamondRings(3pm)rings around an Aztec diamond shape✨
Math::PlanePath::Base::Digits(3pm)helpers for digit based paths✨
Math::PlanePath::Base::Generic(3pm)various path helpers✨
Math::PlanePath::Base::NSEW(3pm)multi-inheritance mixin for North, South, East, West unit steps✨
Math::PlanePath::BetaOmega(3pm)2x2 half-plane traversal✨
Math::PlanePath::CCurve(3pm)Levy C curve✨
Math::PlanePath::CellularRule(3pm)cellular automaton points of binary rule✨
Math::PlanePath::CellularRule190(3pm)cellular automaton 190 and 246 points✨
Math::PlanePath::CellularRule54(3pm)cellular automaton points✨
Math::PlanePath::CellularRule57(3pm)cellular automaton 57 and 99 points✨
Math::PlanePath::CfracDigits(3pm)continued fraction terms encoded by digits✨
Math::PlanePath::ChanTree(3pm)tree of rationals✨
Math::PlanePath::CincoCurve(3pm)5x5 self-similar curve✨
Math::PlanePath::Columns(3pm)points in fixed-height columns✨
Math::PlanePath::ComplexMinus(3pm)i-1 and other complex number bases i-r✨
Math::PlanePath::ComplexPlus(3pm)points in complex base i+r✨
Math::PlanePath::ComplexRevolving(3pm)points in revolving complex base i+1✨
Math::PlanePath::CoprimeColumns(3pm)coprime X,Y by columns✨
Math::PlanePath::Corner(3pm)points shaped around in a corner✨
Math::PlanePath::CornerAlternating(3pm)points shaped around a corner alternately✨
Math::PlanePath::CornerReplicate(3pm)replicating U parts✨
Math::PlanePath::CretanLabyrinth(3pm)infinite Cretan labyrinth✨
Math::PlanePath::CubicBase(3pm)replications in three directions✨
Math::PlanePath::DekkingCentres(3pm)5x5 self-similar✨
Math::PlanePath::DekkingCurve(3pm)5x5 self-similar edge curve✨
Math::PlanePath::DiagonalRationals(3pm)rationals X/Y by diagonals✨
Math::PlanePath::Diagonals(3pm)points in diagonal stripes✨
Math::PlanePath::DiagonalsAlternating(3pm)points in diagonal stripes of alternating directions✨
Math::PlanePath::DiagonalsOctant(3pm)points in diagonal stripes for an eighth of the plane✨
Math::PlanePath::DiamondArms(3pm)four spiral arms✨
Math::PlanePath::DiamondSpiral(3pm)integer points around a diamond shaped spiral✨
Math::PlanePath::DigitGroups(3pm)X,Y digits grouped by zeros✨
Math::PlanePath::DivisibleColumns(3pm)X divisible by Y in columns✨