# What is sequence?

## Sequence

In mathematics, a sequence is an ordered list of objects (or events). Like a set, it contains members (also called elements, or terms). The number of ordered elements (possibly infinite) is called the length of the sequence. Unlike a set, order matters, and exactly the same elements can appear multiple times at different positions in the sequence. A sequence is a discrete function.

### Some articles on sequence:

Farey Sequence
... In mathematics, the Farey sequence of order n is the sequence of completely reduced fractions between 0 and 1 which, when in lowest terms, have denominators less than or equal to n, arranged in order of ... Each Farey sequence starts with the value 0, denoted by the fraction 0⁄1, and ends with the value 1, denoted by the fraction 1⁄1 (although some authors omit ... A Farey sequence is sometimes called a Farey series, which is not strictly correct, because the terms are not summed ...
Lebesgue's Monotone Convergence Theorem - Theorem
... Let be a pointwise non-decreasing sequence of -valued Σ–measurable functions, i.e ... X, Next, set the pointwise limit of the sequence to be f ... If the sequence satisfies the assumptions μ–almost everywhere, one can find a set N ∈ Σ with μ(N) = 0 such that the sequence is non-decreasing for every ...
Y2H - Applications - Zinc Finger Protein Selection
... protein used in the construction of custom DNA-binding domains that bind to a desired DNA sequence ... By using a selection gene with the desired target sequence included in the UAS, and randomising the relevant amino acid sequences to produce a ZFP ... into a 'scaffold' consisting of another two ZFPs of constant sequence ...
Typical Set
... theory, the typical set is a set of sequences whose probability is close to two raised to the negative power of the entropy of their source distribution ... The notion of typicality is only concerned with the probability of a sequence and not the actual sequence itself ... as it provides a theoretical means for compressing data, allowing us to represent any sequence Xn using nH(X) bits on average, and, hence, justifying the use of entropy as a measure of information from a source ...
Translation (biology) - Genetic Code
... only be predicted using sophisticated algorithms, the amino acid sequence, called primary structure, can be determined solely from the nucleic acid sequence with the aid of a translation table ... codon in combination with a downstream hairpin (SElenoCysteine Insertion Sequence, or SECIS) ... There are many computer programs capable of translating a DNA/RNA sequence into a protein sequence ...

### More definitions of "sequence":

• (noun): Serial arrangement in which things follow in logical order or a recurrent pattern.
Example: "The sequence of names was alphabetical"; "he invented a technique to determine the sequence of base pairs in DNA"
• (noun): Film consisting of a succession of related shots that develop a given subject in a movie.
Synonyms: episode
• (noun): Several repetitions of a melodic phrase in different keys.
• (noun): The action of following in order.
Example: "He played the trumps in sequence"
Synonyms: succession
• (verb): Arrange in a sequence.
• (verb): Determine the order of constituents in.
Example: "They sequenced the human genome"

### Famous quotes containing the word sequence:

Reminiscences, even extensive ones, do not always amount to an autobiography.... For autobiography has to do with time, with sequence and what makes up the continuous flow of life. Here, I am talking of a space, of moments and discontinuities. For even if months and years appear here, it is in the form they have in the moment of recollection. This strange form—it may be called fleeting or eternal—is in neither case the stuff that life is made of.
Walter Benjamin (1892–1940)

It isn’t that you subordinate your ideas to the force of the facts in autobiography but that you construct a sequence of stories to bind up the facts with a persuasive hypothesis that unravels your history’s meaning.
Philip Roth (b. 1933)

We have defined a story as a narrative of events arranged in their time-sequence. A plot is also a narrative of events, the emphasis falling on causality. “The king died and then the queen died” is a story. “The king died, and then the queen died of grief” is a plot. The time sequence is preserved, but the sense of causality overshadows it.
—E.M. (Edward Morgan)