Steps in the operation of Mathematica. When you type something like x^2 what Mathematica at first sees is just the string of characters x, ^, 2. But with the usual way that ...

Representations of real intervals. This represents all numbers between -2 and +5. The square of any number between -2 and +5 is always between 0 and 25.

Evaluating sums. Mathematica recognizes this as the power series expansion of e^x. This sum comes out in terms of a Bessel function.

MathLM administers licenses for organizations running multiple instances of Mathematica with a network license. Network licenses have two very important advantages: MathLM is ...

AllowRaggedArrays[True] lets you pass ragged (i.e., non rectangular) arrays to Java. AllowRaggedArrays[False] restores the default behavior.

NETNewDelegate[type, func] creates a new instance of the specified .NET delegate type whose action is to call the named Mathematica function when triggered.

ClickPane[image, func] represents a clickable pane that displays as image and applies func to the x, y coordinates of each click within the pane.ClickPane[image, {{x_min, ...

MapThread[f, {{a_1, a_2, ...}, {b_1, b_2, ...}, ...}] gives {f[a_1, b_1, ...], f[a_2, b_2, ...], ...}. MapThread[f, {expr_1, expr_2, ...}, n] applies f to the parts of the ...

Within a standard interactive session, you can create "subsessions" or dialogs using the Mathematica command Dialog. Dialogs are often useful if you want to interact with ...

If you represent the n^th term in a sequence as a[n], you can use a recurrence equation to specify how it is related to other terms in the sequence. RSolve takes recurrence ...