CreateWindow[] creates an empty window in the front end.CreateWindow[nb] creates a window displaying the notebook expression nb, and opens it in the front ...
Mathematica has a collection of commands that do unconstrained optimization (FindMinimum and FindMaximum) and solve nonlinear equations (FindRoot) and nonlinear fitting ...
Eigenvalues and eigenvectors. The eigenvalues of a matrix m are the values λ_i for which one can find nonzero vectors v_i such that m.v_i λ_iv_i. The eigenvectors are the ...
MakeBoxes[expr, form] is the low-level function used in Mathematica sessions to convert expressions into boxes. MakeBoxes[expr] is the function to convert expr to ...
EllipticExpPrime[u, {a, b}] gives the derivative of EllipticExp[u, {a, b}] with respect to u.
QHypergeometricPFQ[{a_1, ..., a_r}, {b_1, ..., b_s}, q, z] gives the basic hypergeometric series \[Null]_r \[Phi]_s (a; b; q; z).
String
(Built-in Mathematica Symbol) String is the head of a character string " text".
PowerModList[a, s/r, m] gives a list of all x modulo m for which x^r \[Congruent] a^s mod m.
ToBoxes
(Built-in Mathematica Symbol) ToBoxes[expr] generates boxes corresponding to the printed form of expr in StandardForm. ToBoxes[expr, form] gives the boxes corresponding to output in the specified form.
Mathematica normally assumes that variables which appear in equations can stand for arbitrary complex numbers. But when you use Reduce, you can explicitly tell Mathematica ...