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], ...

Low-Level System Spelunking (Mathematica Guide)

Mathematica is a large and complex software system. Although strongly not supported for production purposes, it is sometimes instructive to "spelunk" in the system, looking ...

Assumptions (Built-in Mathematica Symbol)

Assumptions is an option for functions such as Simplify, Refine, and Integrate that specifies default assumptions to be made about symbolic quantities.

FactorTerms (Built-in Mathematica Symbol)

FactorTerms[poly] pulls out any overall numerical factor in poly. FactorTerms[poly, x] pulls out any overall factor in poly that does not depend on x. FactorTerms[poly, {x_1, ...

SatisfiabilityCount (Built-in Mathematica Symbol)

SatisfiabilityCount[bf] counts the number of possible combinations of variable values that yield True when supplied as arguments to the Boolean function ...

FindGeneratingFunction (Built-in Mathematica Symbol)

FindGeneratingFunction[{a_1, a_2, ...}, x] attempts to find a simple generating function in x whose n\[Null]^th series coefficient is a_n.FindGeneratingFunction[{{n_1, a_1}, ...

JacobiAmplitude (Built-in Mathematica Symbol)

JacobiAmplitude[u, m] gives the amplitude am(u \[VerticalSeparator] m) for Jacobi elliptic functions.

NonlinearModelFit (Built-in Mathematica Symbol)

NonlinearModelFit[{y_1, y_2, ...}, form, {\[Beta]_1, ...}, x] constructs a nonlinear model with structure form that fits the y_i for successive x values 1, 2, ... using the ...

TrigExpand (Built-in Mathematica Symbol)

TrigExpand[expr] expands out trigonometric functions in expr.

ContextToFileName (Built-in Mathematica Symbol)

ContextToFileName["context"] gives the string specifying the file name that is by convention associated with a particular context.