## 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.

Read more about Sequence.

### Some articles on sequence:

Farey

... In mathematics, the 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 ... 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 these terms) ... A Farey**sequence**is sometimes called a Farey series, which is not strictly correct, because the terms are not summed ...Translation (biology) - Genetic Code

... using sophisticated algorithms, the amino acid

... 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 ... 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**...Typical Set

... theory, the typical set is a set of

... 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 ... of typicality is only concerned with the probability of a**sequence**and not the actual**sequence**itself ... 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 ...Lebesgue's Monotone Convergence Theorem - Theorem

... Let be a pointwise non-decreasing

... Let be a pointwise non-decreasing

**sequence**of -valued Σ–measurable functions, i.e ... k ≥ 1 and every x in 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 ...### More definitions of "sequence":

- (
*verb*): Arrange in a sequence.

- (
*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.

- (
*verb*): Determine the order of constituents in.

Example:*"They sequenced the human genome"*

- (
*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*): The action of following in order.

Example:*"He played the trumps in sequence"*

Synonyms: succession

Main Site Subjects

Related Subjects

Related Phrases

Related Words