Implies[p, q] represents the logical implication p \[DoubleRightArrow] q.

Mathematica has many special features that optimize the entry and editing of both ordinary text and Mathematica input in notebooks.

NestWhile[f, expr, test] starts with expr, then repeatedly applies f until applying test to the result no longer yields True. NestWhile[f, expr, test, m] supplies the most ...

ArcTanh[z] gives the inverse hyperbolic tangent tanh -1 (z) of the complex number z.

Even with "Newton methods" where the local model is based on the actual Hessian, unless you are close to a root or minimum, the model step may not bring you any closer to the ...

Abs[z] gives the absolute value of the real or complex number z.

Limit[expr,x->x_0] tells you what the value of expr is when x tends to x_0. When this value is infinite, it is often useful instead to know the residue of expr when x equals ...

p : v is a pattern object that represents an expression of the form p, which, if omitted, should be replaced by v.

New functions CountRoots, IsolatingInterval, and RootIntervals have been added to the built-in Mathematica kernel. IsolatingInterval includes the functionality of ...

Pochhammer[a, n] gives the Pochhammer symbol (a) n.