Tanh (Built-in Mathematica Symbol)

Tanh[z] gives the hyperbolic tangent of z.

Putting Expressions into Different Forms (Mathematica Tutorial)

Complicated algebraic expressions can usually be written in many different ways. Mathematica provides a variety of functions for converting expressions from one form to ...

Max (Built-in Mathematica Symbol)

Max[x_1, x_2, ...] yields the numerically largest of the x_i. Max[{x_1, x_2, ...}, {y_1, ...}, ...] yields the largest element of any of the lists.

Advanced Matrix Operations (Mathematica Tutorial)

Finding singular values and norms of matrices. The singular values of a matrix m are the square roots of the eigenvalues of m.m^*, where * denotes Hermitian transpose. The ...

AlgebraicNumber (Built-in Mathematica Symbol)

AlgebraicNumber[\[Theta], {c_0, c_1, ..., c_n}] represents the algebraic number in the field \[DoubleStruckCapitalQ][\[Theta]] given by c_0 + c_1 \[Theta] + ... + c_n ...

Lie Symmetry Methods for Solving ... (Mathematica Tutorial)

Around 1870, Marius Sophus Lie realized that many of the methods for solving differential equations could be unified using group theory. Lie symmetry methods are central to ...

Use Function Templates (Mathematica How To)

Mathematica lets you insert function templates that contain placeholders for the arguments of a function. You can do this directly from the keyboard or with several of ...

Accumulate (Built-in Mathematica Symbol)

Accumulate[list] gives a list of the successive accumulated totals of elements in list.

Implies (Built-in Mathematica Symbol)

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

InverseBetaRegularized (Built-in Mathematica Symbol)

InverseBetaRegularized[s, a, b] gives the inverse of the regularized incomplete beta function.