$UserBaseDirectory (Built-in Mathematica Symbol)

$UserBaseDirectory gives the base directory in which user-specific files to be loaded by Mathematica are conventionally placed.

BooleanFunction (Built-in Mathematica Symbol)

BooleanFunction[k, n] represents the k\[Null]^th Boolean function in n variables.BooleanFunction[values] represents the Boolean function corresponding to the specified vector ...

Polynomial Factoring & Decomposition (Mathematica Guide)

Factoring a quadratic polynomial in one variable is straightforward. But Mathematica routinely factors degree-100 polynomials in 3 variables—by making use of a tower of ...

Nonlinear Conjugate Gradient Methods (Mathematica Tutorial)

The basis for a nonlinear conjugate gradient method is to effectively apply the linear conjugate gradient method, where the residual is replaced by the gradient. A model ...

TransformationFunctions (Built-in Mathematica Symbol)

TransformationFunctions is an option for Simplify and FullSimplify which gives the list of functions to apply to try to transform parts of an expression.

Low-Level System Optimization (Mathematica Guide)

Factor (Built-in Mathematica Symbol)

Factor[poly] factors a polynomial over the integers. Factor[poly, Modulus -> p] factors a polynomial modulo a prime p. Factor[poly, Extension -> {a_1, a_2, ...}] factors a ...

NIntegrate Introduction (Mathematica Tutorial)

The Mathematica function NIntegrate is a general numerical integrator. It can handle a wide range of one-dimensional and multidimensional integrals. Finding a numerical ...

ComponentMeasurements (Built-in Mathematica Symbol)

ComponentMeasurements[m, " prop"] computes the values of property prop for each component of a label matrix m that consists of identical elements.ComponentMeasurements[image, ...

Discrete & Integer Data (Mathematica Guide)

Integrated into the Mathematica system are powerful functions for analyzing large volumes of discrete and integer data—often conveniently specified using Mathematica's ...