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Regular sequence information


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 is the algebraic analogue of the geometric notion of a complete intersection.

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Regular sequence

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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...

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Regular paperfolding sequence

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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...

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Sequence

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

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Cauchy sequence

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

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Sequence diagram

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

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Regular expression

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

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Automatic sequence

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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...

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Regular

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

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Regular polygon

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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...

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Koszul complex

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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...

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Spectral band

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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...

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Fibonacci sequence

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Fibonacci sequence is a sequence in which each number is the sum of the two preceding ones. Numbers that are part of the Fibonacci sequence are known...

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Go and Catch a Falling Star

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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...

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10

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Integer Sequences. OEIS Foundation. Retrieved 2016-06-01. Sloane, N. J. A. (ed.). "Sequence A001608 (Perrin sequence (or Ondrej Such sequence))". The...

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Caldarium

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

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Hilbert series and Hilbert polynomial

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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...

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Hammam

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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...

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Trigonometric tables

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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...

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List of Regular Show characters

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These characters appear in the American animated television series Regular Show, created by J. G. Quintel for Cartoon Network. The series revolves around...

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Regular cardinal

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

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5

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Sloane, N. J. A. (ed.). "Sequence A000332 (Figurate numbers based on the 4-dimensional regular convex polytope called the regular 4-simplex, pentachoron...

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Regular dodecahedron

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1.401\,258\,538\cdot a} (sequence A179296 in the OEIS) and the radius of an inscribed sphere (tangent to each of the regular dodecahedron's faces) is...

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Regular prime

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199, ... (sequence A007703 in the OEIS). In 1850, Kummer proved that Fermat's Last Theorem is true for a prime exponent p if p is regular. This focused...

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Regular embedding

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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...

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