NumberTheory`AlgebraicNumberFields` (Mathematica Compatibility Information)

Algebraic is now available as the newly added built-in Mathematica kernel function AlgebraicNumber. ToCommonField and ToNumberFieldElement are now available as the newly ...

InverseErfc (Built-in Mathematica Symbol)

InverseErfc[s] gives the inverse complementary error function obtained as the solution for z in s = erfc(z).

ToNumberField (Built-in Mathematica Symbol)

ToNumberField[a, \[Theta]] expresses the algebraic number a in the number field generated by \[Theta]. ToNumberField[{a_1, a_2, ...}, \[Theta]] expresses the a_i in the field ...

EllipticNomeQ (Built-in Mathematica Symbol)

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

Working with Special Functions (Mathematica Tutorial)

Some common operations on special functions. Most special functions have simpler forms when given certain specific arguments. Mathematica will automatically simplify special ...

Apart (Built-in Mathematica Symbol)

Apart[expr] rewrites a rational expression as a sum of terms with minimal denominators. Apart[expr, var] treats all variables other than var as constants.

TrigToExp (Built-in Mathematica Symbol)

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

Elementary Functions (Mathematica Guide)

Using the latest platform-optimized code, Mathematica not only delivers high-efficiency machine-precision evaluation of elementary functions, but also—using a number of ...

Testing and Searching List Elements (Mathematica Tutorial)

Testing and searching for elements of lists. "Getting Pieces of Lists" discusses how to extract pieces of lists based on their positions or indices. Mathematica also has ...

References (Mathematica Tutorial)

[AN96] Adams, L. and J. L. Nazareth. (Eds.) Linear and Nonlinear Conjugate Gradient-Related Methods. SIAM, 1996. [Br02] Brent, R. P. Algorithms for Minimization without ...