In commutative algebra, a regular sequence is a sequence of elements of a commutative ring which are as independent as possible, in a precise sense. This...

In mathematics, a Cauchy sequence is a sequence whose elements become arbitrarily close to each other as the sequence progresses. More precisely, given...

Constant-recursive sequence Geometric progression Harmonic progression Holonomic sequence Regular sequence Pseudorandom binary sequence Random sequence Related concepts...

In mathematics the regular paperfolding sequence, also known as the dragon curve sequence, is an infinite sequence of 0s and 1s. It is obtained from the...

k-regular sequence is a sequence satisfying linear recurrence equations that reflect the base-k representations of the integers. The class of k-regular...

which can be represented over any field Regular paperfolding sequence, also known as the dragon curve sequence Regular tree grammar Castelnuovo–Mumford regularity...

can be used to tell when a set of elements of a (local) ring is an M-regular sequence, and hence it can be used to prove basic facts about the depth of a...

An M-sequence may refer to: Regular sequence, which is an important topic in commutative algebra. A maximum length sequence, which is a type of pseudorandom...

A regular expression (shortened as regex or regexp), sometimes referred to as rational expression, is a sequence of characters that specifies a match pattern...

in a regular sequence that appears to be a band. It is a colored band, separated by dark spaces on the two sides and arranged in a regular sequence. In...

alternative scenarios. There are two kinds of sequence diagrams: Sequence Diagram (SD): A regular version of sequence diagram describes how the system operates...

when two ⟨cs⟩ are brought together in a compound word, they form the regular sequence ⟨cscs⟩. ⟨chd⟩ is used for /dʒ/ in Eskayan romanised orthography and...

linear recurrence sequence, linear-recursive sequence, linear-recurrent sequence, or a C-finite sequence. For example, the Fibonacci sequence 0 , 1 , 1 , 2...

parameters for R is a regular sequence on W. Cohen-Macaulayness of Direct Summands Conjecture. If R is a direct summand of a regular ring S as an R-module...

ideal of X ∩ U {\displaystyle X\cap U} is generated by a regular sequence of length r. A regular embedding of codimension one is precisely an effective...

theoretical computer science, an automatic sequence (also called a k-automatic sequence or a k-recognizable sequence when one wants to indicate that the base...

\dots ,x_{n}} is an M-regular sequence, then x 1 j , … , x n j {\displaystyle x_{1}^{j},\dots ,x_{n}^{j}} is also an M-regular sequence for each positive...

three stanzas rhyming ABABCCDDD, with lines that vary in length in a regular sequence. The first stanza demands a variety of impossible feats and the second...

by a regular sequence of k polynomials has a codimension of k, and that its degree is the product of the degrees of the polynomials in the sequence. Every...

significant memory to store the table. The other possibility, since a regular sequence of values is required, is to use a recurrence formula to compute the...

evolved from the layout of Roman and Greek bathhouses and featured a regular sequence of rooms: an undressing room, a cold room, a warm room, and a hot room...

limit, a sequence of regular polygons with an increasing number of sides approximates a circle, if the perimeter or area is fixed, or a regular apeirogon...

m = s(n). The class of k-synchronized sequences lies between the classes of k-automatic sequences and k-regular sequences. Let Σ be an alphabet of k symbols...

Several other sequences at the On-Line Encyclopedia of Integer Sequences have definitions involving 5-smooth numbers. Although the regular numbers appear...

by a furnace tended by slaves. It was also the hottest room in the regular sequence of bathing rooms; after the caldarium, bathers would progress back...

Fibonacci sequence is a sequence in which each element is the sum of the two elements that precede it. Numbers that are part of the Fibonacci sequence are known...

countable cardinal numbers, and is regular. ℵ ω {\displaystyle \aleph _{\omega }} is the next cardinal number after the sequence ℵ 0 {\displaystyle \aleph _{0}}...

regular sequence are more than 3 2 {\displaystyle {\tfrac {3}{2}}} apart and so one may compute natural numbers exceeding any real. For the regular sequences...

generated by a regular sequence of homogeneous polynomials. In particular, the sequence x 1 , … , x n {\displaystyle x_{1},\ldots ,x_{n}} is regular, and the...

resolution is given by the Koszul complex of a regular sequence in a local ring or of a homogeneous regular sequence in a graded algebra finitely generated over...