Sequence
Sequence
In computing and computer science, finite sequences are usually called strings), words) or lists), with the specific technical term chosen depending on the type of object the sequence enumerates and the different ways to represent the sequence in computer memory. Infinite sequences are called streams).
Sequence
The empty sequence ( ) is included in most notions of sequence. It may be excluded depending on the context.
Examples and notation
A sequence can be thought of as a list of elements with a particular order. Sequences are useful in a number of mathematical disciplines for studying functions), spaces), and other mathematical structures using the convergence properties of sequences. In particular, sequences are the basis for series), which are important in differential equations and analysis). Sequences are also of interest in their own right, and can be studied as patterns or puzzles, such as in the study of prime numbers.
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