MinValue (Built-in Mathematica Symbol)

MinValue[f, x] gives the minimum value of f with respect to x.MinValue[f, {x, y, ...}] gives the minimum value of f with respect to x, y, .... MinValue[{f, cons}, {x, y, ...

ExcludedForms (Built-in Mathematica Symbol)

ExcludedForms is an option for FullSimplify which can be set to a list of patterns for expressions that should not be touched if they are encountered at intermediate steps in ...

Orthogonalize (Built-in Mathematica Symbol)

Orthogonalize[{v_1, v_2, ...}] gives an orthonormal basis found by orthogonalizing the vectors v_i.Orthogonalize[{e_1, e_2, ...}, f] gives a basis for the e_i orthonormal ...

Nonlinear Second-Order ODEs (Mathematica Tutorial)

The general form of a nonlinear second-order ODE is For simplicity, assume that the equation can be solved for the highest-order derivative y^ ′′(x) to give There are a few ...

Extrapolation Method for NDSolve (Mathematica Tutorial)

Extrapolation methods are a class of arbitrary-order methods with automatic order and step-size control. The error estimate comes from computing a solution over an interval ...

ArgMax (Built-in Mathematica Symbol)

ArgMax[f, x] gives a position x_max at which f is maximized.ArgMax[f, {x, y, ...}] gives a position {x_max, y_max, ...} at which f is maximized.ArgMax[{f, cons}, {x, y, ...}] ...

MaxValue (Built-in Mathematica Symbol)

MaxValue[f, x] gives the maximum value of f with respect to x.MaxValue[f, {x, y, ...}] gives the maximum value of f with respect to x, y, .... MaxValue[{f, cons}, {x, y, ...

PolynomialLCM (Built-in Mathematica Symbol)

PolynomialLCM[poly_1, poly_2, ...] gives the least common multiple of the polynomials poly_i. PolynomialLCM[poly_1, poly_2, ..., Modulus -> p] evaluates the LCM modulo the ...

Roots (Built-in Mathematica Symbol)

Roots[lhs == rhs, var] yields a disjunction of equations which represent the roots of a polynomial equation.

Plot the Results of NDSolve (Mathematica How To)

NDSolve solves a differential equation numerically. It returns solutions in a form that can be readily used in many different ways. One typical use would be to produce a plot ...