Mathematica's symbolic architecture immediately defines a serializable representation for any Mathematica data or program—which can then readily be stored in a file.

DiscreteRiccatiSolve[{a, b}, {q, r}] gives the matrix x that is the stabilizing solution of the discrete algebraic Riccati equation ConjugateTranspose[a].x.a - x - ...

Mathematica immediately allows you to call both standalone programs and individual functions or methods within running programs. Mathematica's architecture allows external ...

Any Mathematica symbol can have both a variety of types of values, and a variety of independently settable attributes that define overall aspects of its behavior.

ArcCoth[z] gives the inverse hyperbolic cotangent coth -1 (z) of the complex number z.

MapIndexed[f, expr] applies f to the elements of expr, giving the part specification of each element as a second argument to f. MapIndexed[f, expr, levelspec] applies f to ...

With careful standardization of argument conventions, Mathematica provides full coverage of elliptic integrals, with arbitrary-precision numerical evaluation for complex ...

The names of built-in functions follow some general guidelines. The main expression or object on which a built-in function acts is usually given as the first argument to the ...

The standard way in which Mathematica works is to take any expression you give as input, evaluate the expression completely, and then return the result. When you are trying ...

SubscriptBox[x, y] is the low-level box representation for x_y in notebook expressions.