This is documentation for Mathematica 9, which was
based on an earlier version of the Wolfram Language.
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

### New Integer Sequence Functions »

FindSequenceFunction find functional forms for integer sequences

FindGeneratingFunction find generating functions

RSolve (modified) — solve a system of recurrence equations

### New Number Theory Functions »

PrimeOmega, PrimeNu number of distinct prime factors

### New Combinatorial Functions »

FiniteGroupCount, FiniteAbelianGroupCount numbers of groups of given order

### Boolean Computation »

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 in Optimization »

MinValue, MaxValue minimum, maximum values

ArgMin, ArgMax position of minimum, maximum

### New in Fourier Analysis »

FourierSeries truncated complex Fourier series to any order

FourierCoefficient n coefficient in a Fourier series

### New in Polynomials & Algebra »

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

### 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 ▪ ...

### New in Statistical Model Analysis »

LinearModelFit construct a linear regression model from data

NonlinearModelFit construct a nonlinear regression model