Mathematically, sufficient conditions for a local minimum of a smooth function are quite straightforward: x^* is a local minimum if ∇f(x^*)=0 and the Hessian ∇^2f(x^*) is ...

Building on Mathematica's unified symbolic architecture, Mathematica 7 introduces several major new integrated forms of data manipulation—including large-scale support for ...

Log[z] gives the natural logarithm of z (logarithm to base e). Log[b, z] gives the logarithm to base b.

ScalingFunctions is an option for BarChart, Histogram, and other charting functions that specifies what scaling functions should be used.

BooleanAlgebra[n] gives a Hasse diagram for the Boolean algebra on n elements. The function takes two options: Type and VertexLabel, with default values Undirected and False, ...

DominationLattice[n] returns a Hasse diagram of the partially ordered set on integer partitions of n in which p < q if q dominates p. The function takes two options: Type and ...

SpringEmbedding[g] beautifies the embedding of graph g by modeling the embedding as a system of springs. SpringEmbedding[g, step, increment] can be used to refine the ...

New function WordData has been added to the built-in Mathematica kernel. New function DictionaryLookup has been added to the built-in Mathematica kernel.

RamanujanTau, RamanujanTauTheta, and RamanujanTauZ have been added to the built-in Mathematica kernel. RamanujanTauDirichletSeries is now available as the newly added ...

MATHEMATICA HOW TO Tutorials » Notebooks as Documents Doing Computations in Notebooks Options for Notebooks Options for Cells Two-Dimensional Expression Input Entering ...