Diophantine Equations (Mathematica Guide)

Although Diophantine equations provide classic examples of undecidability, Mathematica in practice succeeds in solving a remarkably wide range of such equations—automatically ...

Is the Problem Well-Posed? (Mathematica Tutorial)

DSolve returns a general solution for a problem if no initial or boundary conditions are specified. The general solution to this equation is returned. However, if initial or ...

LinearSolve (Built-in Mathematica Symbol)

LinearSolve[m, b] finds an x which solves the matrix equation m.x == b. LinearSolve[m] generates a LinearSolveFunction[...] which can be applied repeatedly to different b.

Fourier Series Package (Fourier Series Package Guide)

ExpToTrig (Built-in Mathematica Symbol)

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

FindPermutation (Built-in Mathematica Symbol)

FindPermutation[expr] gives a permutation that produces expr by permuting Sort[expr].FindPermutation[expr 1, expr 2] gives a permutation that converts expr_1 to expr_2 for ...

FromContinuedFraction (Built-in Mathematica Symbol)

FromContinuedFraction[list] reconstructs a number from the list of its continued fraction terms.

IntegerString (Built-in Mathematica Symbol)

IntegerString[n] gives a string consisting of the decimal digits in the integer n. IntegerString[n, b] gives a string consisting of the base b digits in the integer n. ...

PrimePi (Built-in Mathematica Symbol)

PrimePi[x] gives the number of primes \[Pi] (x) less than or equal to x.

StateSpaceTransform (Built-in Mathematica Symbol)

StateSpaceTransform[ss, s_1] transforms the StateSpaceModel object ss using the similarity matrix s_1.StateSpaceTransform[ss, {s_1, s_2}] computes the transformation using ...