JoinedCurve[{segment_1, segment_2, ...}] represents a curve consisting of segment_1 followed by segment_2 etc. JoinedCurve[{component_1, component_2, ...}] represents a list ...
Piecewise[{{val_1, cond_1}, {val_2, cond_2}, ...}] represents a piecewise function with values val_i in the regions defined by the conditions cond_i. Piecewise[{{val_1, ...
Sinh
(Built-in Mathematica Symbol) Sinh[z] gives the hyperbolic sine of z.
A possible way of working with permutations is by relating them to the reorderings of the elements of a list. This is the standard point of view in the combinatorial approach ...
CholeskyDecomposition[m] gives the Cholesky decomposition of a matrix m.
Det
(Built-in Mathematica Symbol) Det[m] gives the determinant of the square matrix m.
Discriminant[poly, var] computes the discriminant of the polynomial poly with respect to the variable var.Discriminant[poly, var, Modulus -> p] computes the discriminant ...
FactorInteger[n] gives a list of the prime factors of the integer n, together with their exponents. FactorInteger[n, k] does partial factorization, pulling out at most k ...
HermiteDecomposition[m] gives the Hermite normal form decomposition of an integer matrix m.
Nearest
(Built-in Mathematica Symbol) Nearest[{elem_1, elem_2, ...}, x] gives the list of elem_i to which x is nearest. Nearest[{elem_1 -> v_1, elem_2 -> v_2, ...}, x] gives the v_i corresponding to the elem_i to ...