This is documentation for Mathematica 7, which was
based on an earlier version of the Wolfram Language.
 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 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      New Utility Functions      MinValue, MaxValue — minimum, maximum values ArgMin, ArgMax — position of minimum, maximum FourierSeries — truncated complex Fourier series to any order FourierCoefficient — nth 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 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 MORE ABOUT Overview of Mathematics & Algorithms Index of All Functions New in 7.0 Summary of New Features in 7.0