Variational Methods (Variational Methods Package Tutorial)

The basic problem of the calculus of variations is to determine the function u(x) that extremizes a functional F=∫_SubscriptBox[x^StyleBox[min, FontSlant -> Italic], ...

EquationTrekker (Equation Trekker Package Symbol)

EquationTrekker[eqn, x, {t, t_min, t_max}] opens a graphical interface for specifying initial conditions and plotting the resulting numerical solution to the first or second ...

Log10 (Built-in Mathematica Symbol)

Log10[x] gives the base-10 logarithm of x.

Not (Built-in Mathematica Symbol)

! expr is the logical NOT function. It gives False if expr is True, and True if it is False.

PadeApproximant (Built-in Mathematica Symbol)

PadeApproximant[expr, {x, x_0, {m, n}}] gives the Padé approximant to expr about the point x = x_0, with numerator order m and denominator order n.PadeApproximant[expr, {x, ...

Newton's Method (Mathematica Tutorial)

Newton's method for nonlinear equations is based on a linear approximation so the Newton step is found simply by setting M_k(p)=0, Near a root of the equations, Newton's ...

Hypergeometric2F1 (Built-in Mathematica Symbol)

Hypergeometric2F1[a, b, c, z] is the hypergeometric function \[InvisiblePrefixScriptBase]_2 F_1 (a, b; c; z).

IntegerPartitions (Built-in Mathematica Symbol)

IntegerPartitions[n] gives a list of all possible ways to partition the integer n into smaller integers. IntegerPartitions[n, k] gives partitions into at most k integers. ...

Combinatorica Package (Combinatorica Package Guide)

FourierCosSeries (Built-in Mathematica Symbol)

FourierCosSeries[expr, t, n] gives the n\[Null]^th-order Fourier cosine series expansion of expr in t.FourierCosSeries[expr, {t_1, t_2, ...}, {n_1, n_2, ...}] gives the ...