NVariationalBound (Variational Methods Package Symbol)

NVariationalBound[f, u[x ], {x, x_min, x_max}, u_t, {a, a_0}, {b, b_0}, ...] numerically searches for values of the parameters a, b, ... of a trial function u_t, starting ...

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], ...

HankelMatrix (Built-in Mathematica Symbol)

HankelMatrix[n] gives the n*n Hankel matrix with first row and first column being successive integers.HankelMatrix[{c_1, c_2, ..., c_n}] gives the Hankel matrix whose first ...

HITSCentrality (Built-in Mathematica Symbol)

HITSCentrality[g] gives a list of authority and hub centralities for the vertices in the graph g.

Hypergeometric1F1 (Built-in Mathematica Symbol)

Hypergeometric1F1[a, b, z] is the Kummer confluent hypergeometric function \[Null]_1 F_1 (a; b; z).

KatzCentrality (Built-in Mathematica Symbol)

KatzCentrality[g, \[Alpha]] gives a list of Katz centralities for the vertices in the graph g and weight \[Alpha].KatzCentrality[g, \[Alpha], \[Beta]] gives a list of Katz ...

LaguerreL (Built-in Mathematica Symbol)

LaguerreL[n, x] gives the Laguerre polynomial L_n (x). LaguerreL[n, a, x] gives the generalized Laguerre polynomial L_n^a(x).

SpheroidalPS (Built-in Mathematica Symbol)

SpheroidalPS[n, m, \[Gamma], z] gives the angular spheroidal function PS n, m (\[Gamma], z) of the first kind.

Variables and Starting Conditions (Mathematica Tutorial)

All the functions FindMinimum, FindMaximum, and FindRoot take variable specifications of the same form. The function FindFit uses the same form for its parameter ...

InternallyBalancedDecomposition (Built-in Mathematica Symbol)

InternallyBalancedDecomposition[ss] yields the internally balanced decomposition of the StateSpaceModel object ss. The result is a list {s, ib} where s is the similarity ...