InverseJacobiSD[v, m] gives the inverse Jacobi elliptic function sd -1 (v \[VerticalSeparator] m).

InverseJacobiSN[v, m] gives the inverse Jacobi elliptic function sn -1 (v \[VerticalSeparator] m).

Here is one way to get multiple minima: call NMinimize multiple times with different random seeds, which will cause different optimization paths to be taken. This defines a ...

In general, a system of ordinary differential equations (ODEs) can be expressed in the normal form, The derivatives of the dependent variables x are expressed explicitly in ...

lhs == rhs returns True if lhs and rhs are identical.

PolynomialGCD[poly_1, poly_2, ...] gives the greatest common divisor of the polynomials poly_i. PolynomialGCD[poly_1, poly_2, ..., Modulus -> p] evaluates the GCD modulo the ...

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

Following are two examples of nonlinear systems of ODEs that can be solved symbolically using DSolve. The first three equations in this system of four nonlinear ODEs can be ...

Mathematica has been used to make many important discoveries in discrete mathematics over the past two decades. Its integration of highly efficient and often original ...

InverseSeries[s] takes the series s, and gives a series for the inverse of the function represented by s. InverseSeries[s, x] uses the variable x in the inverse series.