Newton's Method (Mathematica Tutorial)

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

Principal Axis Method (Mathematica Tutorial)

"Gauss–Newton" and "conjugate gradient" methods use derivatives. When Mathematica cannot compute symbolic derivatives, finite differences will be used. Computing derivatives ...

The Secant Method (Mathematica Tutorial)

When derivatives cannot be computed symbolically, "Newton's" method will be used, but with a finite difference approximation to the Jacobian. This can have costs in terms of ...

Deleting Data with Raw SQL (DatabaseLink Tutorial)

The raw SQL command DELETE deletes data from a database. An alternative is to use the Mathematica command SQLDelete, described in "Deleting Data". If you find that the ...

Updating Data with Raw SQL (DatabaseLink Tutorial)

The raw SQL command UPDATE updates data in a database. An alternative is to use the Mathematica command SQLUpdate, described in "Updating Data". If you find that the examples ...

Remote Definitions (Parallel Package Tutorial)

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 ...

FourierSeries` (Mathematica Compatibility Information)

FourierSeries, FourierTrigSeries, and FourierCoefficient are part of the Mathematica kernel. FourierSinCoefficient and FourierCosCoefficient are now in the built-in ...

Primality Proving Package (Primality Proving Package Tutorial)

This package implements primality proving. If ProvablePrimeQ[n] returns True, then the number n can be mathematically proven to be prime. In addition, PrimeQCertificate[n] ...

ListSurfacePlot3D (Built-in Mathematica Symbol)

ListSurfacePlot3D[{{x_1, y_1, z_1}, {x_2, y_2, z_2}, ...}] plots a three-dimensional surface constructed to fit the specified points.

ParticleData (Built-in Mathematica Symbol)

ParticleData[name, " property"] gives the specified property for a subatomic particle or family of particles with the specified name. ParticleData[{name, q}, " property"] ...