NumberFieldClassNumber (Built-in Mathematica Symbol)

NumberFieldClassNumber[\[Theta]] gives the class number for the algebraic number field \[DoubleStruckCapitalQ][\[Theta]] generated by \[Theta].

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 ...

Exists (Built-in Mathematica Symbol)

Exists[x, expr] represents the statement that there exists a value of x for which expr is True. Exists[x, cond, expr] states that there exists an x satisfying the condition ...

Normalize (Built-in Mathematica Symbol)

Normalize[v] gives the normalized form of a vector v. Normalize[z] gives the normalized form of a complex number z.Normalize[expr, f] normalizes with respect to the norm ...

Introduction to Constrained ... (Mathematica Tutorial)

Constrained optimization problems are problems for which a function f(x) is to be minimized or maximized subject to constraints Φ(x). Here f:^n  is called the objective ...

Factor a Polynomial (Mathematica How To)

Mathematica includes functionality to factor polynomials symbolically.

MathieuC (Built-in Mathematica Symbol)

MathieuC[a, q, z] gives the even Mathieu function with characteristic value a and parameter q.

MathieuS (Built-in Mathematica Symbol)

MathieuS[a, q, z] gives the odd Mathieu function with characteristic value a and parameter q.

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, ...