## represents the sequence of arguments supplied to a pure function. ## n represents the sequence of arguments supplied to a pure function, starting with the ...

Ratios[list] gives the successive ratios of elements in list. Ratios[list, n] gives the n\[Null]^th iterated ratios of list. Ratios[list, {n_1, n_2, ...}] gives the ...

x*y*z, x*y*z, or x y z represents a product of terms.

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 ...

UniformDistribution[{min, max}] represents a continuous uniform statistical distribution giving values between min and max. UniformDistribution[] represents a uniform ...

Map[f, expr] or f /@ expr applies f to each element on the first level in expr. Map[f, expr, levelspec] applies f to parts of expr specified by levelspec.

You can define the derivative in Mathematica of a function f of one argument simply by an assignment like f'[x_]=fp[x]. This defines the derivative of f(x) to be fp(x). In ...

Mathematica allows you not only to export graphics and sounds, but also to import them. With Import you can read graphics and sounds in a wide variety of formats, and bring ...

Mathematica usually keeps the elements of a list in exactly the order you originally entered them. If you want to treat a Mathematica list like a mathematical set, however, ...

You can tell a lot about what "type" of expression something is by looking at its head. Thus, for example, an integer has head Integer, while a list has head List. In a ...