MATHEMATICA GUIDE

New in 7.0: Mathematics & Algorithms

Mathematica 7 represents another major achievement in Mathematica's long history of innovation in mathematics and algorithms. Building on the broad capabilities of Mathematica, as well as several recent R&D breakthroughs at Wolfram Research, Mathematica 7 for the first time makes possible systematic computation in a sequence of longstanding mathematical and algorithmic areas.

ReferenceReference

Discrete Calculus »

Sum, Product (modified) — indefinite sums and products and major new algorithms

DifferenceDelta (DifferenceDelta) ▪ DiscreteShift (DiscreteShift) ▪ DiscreteRatio (DiscreteRatio)

GeneratingFunction ▪ DifferenceRoot ▪ SumConvergence ▪ Casoratian ▪ ...

New Integer Sequence Functions »

FindSequenceFunction find functional forms for integer sequences

FindGeneratingFunction find generating functions

RSolve (modified) — solve a system of recurrence equations

RecurrenceTable ▪ LinearRecurrence ▪ FindLinearRecurrence

GeneratingFunction ▪ DiscreteConvolve ▪ DirichletConvolve ▪ ...

New Number Theory Functions »

PrimeOmega, PrimeNu number of distinct prime factors

MangoldtLambda ▪ LiouvilleLambda ▪ DirichletCharacter

PrimeZetaP ▪ RiemannR ▪ DirichletL ▪ DivisorSum ▪ ...

New Combinatorial Functions »

FactorialPower ▪ Hyperfactorial ▪ ...

FiniteGroupCount, FiniteAbelianGroupCount numbers of groups of given order

Boolean Computation »

BooleanFunction general Boolean functions

BooleanCountingFunction symmetric Boolean functions

BooleanMinterms ▪ BooleanMaxterms ▪ BooleanTable ▪ ...

Equivalent () ▪ Xnor ()  ▪ Majority

BooleanConvert convert between Boolean formats (CNF, DNF, ESOP, NOR, BFF, ...)

BooleanMinimize find a minimal Boolean form

SatisfiableQ test a Boolean expression for satisfiability

Conjunction ▪ Disjunction ▪ SatisfiabilityCount ▪ TautologyQ

New Special Functions »

AngerJ ▪ WeberE ▪ DawsonF ▪ BarnesG ▪ LogBarnesG

HurwitzZeta ▪ HurwitzLerchPhi ▪ Haversine ▪ InverseHaversine

New Q-Functions »

QBinomial ▪ QFactorial ▪ QGamma ▪ QHypergeometricPFQ ▪ QPochhammer ▪ QPolyGamma ▪ ...

New Utility Functions

SquareWave ▪ TriangleWave ▪ SawtoothWave ▪ FindDivisions

DiracComb ▪ HeavisidePi ▪ Log10 ▪ Log2

New in Optimization »

MinValue, MaxValue minimum, maximum values

NMinValue ▪ NMaxValue ▪ FindMinValue ▪ FindMaxValue

ArgMin, ArgMax position of minimum, maximum

NArgMin ▪ NArgMax ▪ FindArgMin ▪ FindArgMax

New in Fourier Analysis »

FourierSeries truncated complex Fourier series to any order

FourierSinSeries ▪ FourierCosSeries ▪ FourierTrigSeries

FourierCoefficient n^(th) coefficient in a Fourier series

FourierSequenceTransform ▪ InverseFourierSequenceTransform

New in Polynomials & Algebra »

CoefficientRules ▪ FromCoefficientRules ▪ MonomialList ▪ ...

Root (modified) ▪ RootApproximant (modified) ▪ SeriesCoefficient (modified) ▪ ...

New Operations on Lists and Matrices »

UpperTriangularize, LowerTriangularize extract parts of a matrix

SymmetricMatrixQ test whether given matrix is symmetric

DiskMatrix ▪ CrossMatrix ▪ DiamondMatrix ▪ BoxMatrix ▪ ...

New in Differential Equations »

NDSolve (modified) new support for delay differential equations

DifferentialRoot symbolic representation of solutions to linear differential equations

Wronskian test linear independence of functions or ODE solutions

FunctionExpand (modified) ▪ DifferentialRootReduce ▪ ...

Convolutions

Convolve ▪ DiscreteConvolve ▪ DirichletConvolve

New in Statistical Model Analysis »

LinearModelFit construct a linear regression model from data

NonlinearModelFit construct a nonlinear regression model

GeneralizedLinearModelFit ▪ LogitModelFit ▪ ProbitModelFit ▪ FittedModel

New to Mathematica? Find your learning path »
Have a question? Ask support »