One significant advantage Mathematica provides is that it can symbolically compute derivatives. This means that when you specify Method->"Newton" and the function is ...

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 ...

When many rows of data are returned from a database query, a significant amount of memory may be required to hold the result. If all of the data does not need to be available ...

Parallel kernels do not have access to the values of variables defined in the master kernel, nor do they have access to locally defined functions. Mathematica contains a ...

SquareFreeQ, PrimePowerQ, KroneckerSymbol, ChineseRemainder and PrimitiveRoot have been added to the built-in Mathematica kernel functions. NextPrime and PreviousPrime are ...

There are two ways to use the functions in this package to place a legend in a graphic: the first can only be used as an option to the built-in functions Plot, ListPlot and ...

DiracDelta[x] represents the Dirac delta function \[Delta](x). DiracDelta[x_1, x_2, ...] represents the multidimensional Dirac delta function \[Delta](x_1, x_2, ...).

EstimatorGains[ss, {p_1, p_2, ..., p_n}] gives the estimator gain matrix for the StateSpaceModel object ss, such that the poles of the estimator are p_i.

Expand[expr] expands out products and positive integer powers in expr. Expand[expr, patt] leaves unexpanded any parts of expr that are free of the pattern patt. >

FindShortestTour[{e_1, e_2, ...}] attempts to find an ordering of the e_i that minimizes the total distance on a tour that visits all the e_i once.