NumberFieldIntegralBasis (Built-in Mathematica Symbol)

NumberFieldIntegralBasis[a] gives an integral basis for the field \[DoubleStruckCapitalQ][a] generated by the algebraic number a.

Norms in NDSolve (Mathematica Tutorial)

NDSolve uses norms of error estimates to determine when solutions satisfy error tolerances. In nearly all cases the norm has been weighted, or scaled, such that it is less ...

Function Approximations Package (Function Approximations Package Tutorial)

This loads the package. Economized rational approximations. A Pad é approximation is very accurate near the center of expansion, but the error increases rapidly as you get ...

Second-Order PDEs (Mathematica Tutorial)

The general form of a linear second-order PDE is Here uu(x,y), and a, b, c, d, e, f, and g are functions of x and y only—they do not depend on u. If g0, the equation is ...

And (Built-in Mathematica Symbol)

e_1 && e_2 && ... is the logical AND function. It evaluates its arguments in order, giving False immediately if any of them are False, and True if they are all True.

Or (Built-in Mathematica Symbol)

e_1 || e_2 || ... is the logical OR function. It evaluates its arguments in order, giving True immediately if any of them are True, and False if they are all False.

JacobiSN (Built-in Mathematica Symbol)

JacobiSN[u, m] gives the Jacobi elliptic function sn(u | m).

ExpToTrig (Built-in Mathematica Symbol)

ExpToTrig[expr] converts exponentials in expr to trigonometric functions.

Implies (Built-in Mathematica Symbol)

Implies[p, q] represents the logical implication p \[DoubleRightArrow] q.

TrigFactor (Built-in Mathematica Symbol)

TrigFactor[expr] factors trigonometric functions in expr.