Searching for local minima and maxima. This finds the value of x which minimizes Γ(x), starting at x2. The last element of the list gives the value at which the minimum is ...

MathieuCharacteristicExponent[a, q] gives the characteristic exponent r for Mathieu functions with characteristic value a and parameter q.

MathieuCPrime[a, q, z] gives the derivative with respect to z of the even Mathieu function with characteristic value a and parameter q.

MathieuSPrime[a, q, z] gives the derivative with respect to z of the odd Mathieu function with characteristic value a and parameter q.

NHoldFirst is an attribute which specifies that the first argument to a function should not be affected by N.

RamanujanTauTheta[t] gives the Ramanujan tau theta function \[Theta](t).

lhs :> rhs or lhs :> rhs represents a rule that transforms lhs to rhs, evaluating rhs only after the rule is used.

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 ...

RootApproximant[x] converts the number x to one of the "simplest" algebraic numbers that approximates it well.RootApproximant[x, n] finds an algebraic number of degree at ...

Roots[lhs == rhs, var] yields a disjunction of equations which represent the roots of a polynomial equation.