SchurDecomposition[m] yields the Schur decomposition for a numerical matrix m, given as a list {q, t} where q is an orthonormal matrix and t is a block upper-triangular ...

SetPrecision[expr, p] yields a version of expr in which all numbers have been set to have precision p.

Sign[x] gives -1, 0, or 1 depending on whether x is negative, zero, or positive.

Simplify[expr] performs a sequence of algebraic and other transformations on expr, and returns the simplest form it finds. Simplify[expr, assum] does simplification using ...

Sin[z] gives the sine of z.

Tube[{{x_1, y_1, z_1}, {x_2, y_2, z_2}, ...}] represents a 3D tube around the line joining a sequence of points.Tube[{pt_1, pt_2, ...}, r] represents a tube of radius ...

The first argument given to DSolve is the differential equation, the second argument is the unknown function, and the last argument identifies the independent variable. Here ...

When Mathematica plots a graph for you, it has to make many choices. It has to work out what the scales should be, where the function should be sampled, how the axes should ...

Patterns stand for classes of expressions. They contain pattern objects that represent sets of possible expressions. Pattern objects. When several pattern objects with the ...

The names of built-in functions follow some general guidelines. The main expression or object on which a built-in function acts is usually given as the first argument to the ...