Some Notes on Internal Implementation (Mathematica Tutorial)

General issues about the internal implementation of Mathematica are discussed in "The Internals of Mathematica". Given here are brief notes on particular features. These ...

Edit > Complete Selection (Mathematica Menu Item)

Complete Selection completes a partially typed function name.

JacobiSymbol (Built-in Mathematica Symbol)

JacobiSymbol[n, m] gives the Jacobi symbol (n/m).

SemialgebraicComponentInstances (Built-in Mathematica Symbol)

SemialgebraicComponentInstances[ineqs, {x_1, x_2, ...}] gives at least one sample point in each connected component of the semialgebraic set defined by the inequalities ineqs ...

ArcCsc (Built-in Mathematica Symbol)

ArcCsc[z] gives the arc cosecant csc -1 (z) of the complex number z.

ArcSec (Built-in Mathematica Symbol)

ArcSec[z] gives the arc secant sec -1 (z) of the complex number z.

ArcSinh (Built-in Mathematica Symbol)

ArcSinh[z] gives the inverse hyperbolic sine sinh -1 (z) of the complex number z.

Assuming (Built-in Mathematica Symbol)

Assuming[assum, expr] evaluates expr with assum appended to $Assumptions, so that assum is included in the default assumptions used by functions such as Refine, Simplify, and ...

GCD (Built-in Mathematica Symbol)

GCD[n_1, n_2, ...] gives the greatest common divisor of the n_i.

FromPackedArray (Developer Package Symbol)

FromPackedArray[expr] unpacks expr so that its internal representation is not a packed array.