This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.
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MATHEMATICA GUIDE
AngerJ ArgMax ArgMin BarnesG BooleanConvert BooleanCountingFunction BooleanFunction BooleanMaxterms BooleanMinimize BooleanMinterms BooleanTable BoxMatrix Casoratian CoefficientRules Conjunction Convolve CrossMatrix DawsonF DiamondMatrix DifferenceDelta DifferenceRoot DifferentialRoot DifferentialRootReduce DiracComb DirichletCharacter DirichletConvolve DirichletL DiscreteConvolve DiscreteRatio DiscreteShift Disjunction DiskMatrix DivisorSum Equivalent FactorialPower FindArgMax FindArgMin FindDivisions FindGeneratingFunction FindLinearRecurrence FindMaxValue FindMinValue FindSequenceFunction FiniteAbelianGroupCount FiniteGroupCount FittedModel FourierCoefficient FourierCosSeries FourierSequenceTransform FourierSeries FourierSinSeries FourierTrigSeries FromCoefficientRules FunctionExpand GeneralizedLinearModelFit GeneratingFunction Haversine HeavisidePi HurwitzLerchPhi HurwitzZeta Hyperfactorial InverseFourierSequenceTransform InverseHaversine LinearModelFit LinearRecurrence LiouvilleLambda Log10 Log2 LogBarnesG LogitModelFit LowerTriangularize Majority MangoldtLambda MaxValue MinValue MonomialList NArgMax NArgMin NDSolve NMaxValue NMinValue NonlinearModelFit PrimeNu PrimeOmega PrimeZetaP ProbitModelFit Product QBinomial QFactorial QGamma QHypergeometricPFQ QPochhammer QPolyGamma RecurrenceTable RiemannR Root RootApproximant RSolve SatisfiabilityCount SatisfiableQ SawtoothWave SeriesCoefficient SquareWave Sum SumConvergence SymmetricMatrixQ TautologyQ TriangleWave UpperTriangularize WeberE Wronskian Xnor
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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.
Sum, Product (modified) — indefinite sums and products and major new algorithms
FindSequenceFunction find functional forms for integer sequences
FindGeneratingFunction find generating functions
RSolve (modified) — solve a system of recurrence equations
PrimeOmega, PrimeNu number of distinct prime factors
PrimeZetaP  ▪ RiemannR  ▪ DirichletL  ▪ DivisorSum  ▪ ...
FiniteGroupCount, FiniteAbelianGroupCount numbers of groups of given order
    
BooleanFunction general Boolean functions
BooleanCountingFunction symmetric Boolean functions
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
    
AngerJ  ▪ WeberE  ▪ DawsonF  ▪ BarnesG  ▪ LogBarnesG
QBinomial  ▪ QFactorial  ▪ QGamma  ▪ QHypergeometricPFQ  ▪ QPochhammer  ▪ QPolyGamma  ▪ ...
New Utility Functions
DiracComb  ▪ HeavisidePi  ▪ Log10  ▪ Log2
    
MinValue, MaxValue minimum, maximum values
ArgMin, ArgMax position of minimum, maximum
NArgMin  ▪ NArgMax  ▪ FindArgMin  ▪ FindArgMax
FourierSeries truncated complex Fourier series to any order
FourierCoefficient n^(th) coefficient in a Fourier series
Root (modified)  ▪ RootApproximant (modified)  ▪ SeriesCoefficient (modified)  ▪ ...
UpperTriangularize, LowerTriangularize extract parts of a matrix
SymmetricMatrixQ test whether given matrix is symmetric
DiskMatrix  ▪ CrossMatrix  ▪ DiamondMatrix  ▪ BoxMatrix  ▪ ...
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  ▪ ...
    
LinearModelFit construct a linear regression model from data
NonlinearModelFit construct a nonlinear regression model
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