InverseEllipticNomeQ (Built-in Mathematica Symbol)

InverseEllipticNomeQ[q] gives the parameter m corresponding to the nome q in an elliptic function.

IVPs with Piecewise Coefficients (Mathematica Tutorial)

The differential equations that arise in modern applications often have discontinuous coefficients. DSolve can handle a wide variety of such ODEs with piecewise coefficients. ...

CountRoots (Built-in Mathematica Symbol)

CountRoots[poly, x] gives the number of real roots of the polynomial poly in x.CountRoots[poly, {x, a, b}] gives the number of roots between a and b.

ModularLambda (Built-in Mathematica Symbol)

ModularLambda[\[Tau]] gives the modular lambda elliptic function \[Lambda](\[Tau]).

ConditionalExpression (Built-in Mathematica Symbol)

ConditionalExpression[expr, cond] is a symbolic construct that represents the expression expr when the condition cond is True.

InverseFunction (Built-in Mathematica Symbol)

InverseFunction[f] represents the inverse of the function f, defined so that InverseFunction[f][y] gives the value of x for which f[x] is equal to y. InverseFunction[f, n, ...

EulerEquations (Variational Methods Package Symbol)

EulerEquations[f, u[x ], x] returns the Euler\[Dash]Lagrange differential equation obeyed by u[x] derived from the functional f, where f depends on the function u[x] and its ...

Plotting the Solution (Mathematica Tutorial)

A plot of the solution given by DSolve can give useful information about the nature of the solution, for instance, whether it is oscillatory in nature. It can also serve as a ...

Algebraics (Built-in Mathematica Symbol)

Algebraics represents the domain of algebraic numbers, as in x \[Element] Algebraics.

Algebra`AlgebraicInequalities` (Mathematica Compatibility Information)

New function SemialgebraicComponentInstances has been added to the built-in Mathematica kernel.