a k-regular sequence is a sequence satisfying linear recurrence equations that reflect the base-k representations of the integers. The class of k-regular...
14 KB (2,353 words) - 19:12, 31 January 2025
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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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...
6 KB (1,016 words) - 14:17, 24 September 2024
/ k {\displaystyle 1/k} ). The existence of a modulus also follows from the principle of countable choice. Regular Cauchy sequences are sequences with...
20 KB (3,225 words) - 01:34, 1 July 2025
automatic sequence (also called a k-automatic sequence or a k-recognizable sequence when one wants to indicate that the base of the numerals used is k) is an...
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base k, and accepting if m = s(n). The class of k-synchronized sequences lies between the classes of k-automatic sequences and k-regular sequences. Let...
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in a k {\displaystyle k} -regular sequence is a linear combination of s m {\displaystyle s_{m}} for some integers m {\displaystyle m} whose base- k {\displaystyle...
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equal to each other. A regular graph with vertices of degree k is called a k‑regular graph or regular graph of degree k. Regular graphs of degree at most...
7 KB (1,017 words) - 07:54, 29 June 2025
Constant-recursive sequence Geometric progression Harmonic progression Holonomic sequence Regular sequence Pseudorandom binary sequence Random sequence Related concepts...
40 KB (6,176 words) - 14:32, 15 July 2025
z ) = ∑ k = 0 ∞ F k z k − ∑ k = 0 ∞ F k z k + 1 − ∑ k = 0 ∞ F k z k + 2 = ∑ k = 0 ∞ F k z k − ∑ k = 1 ∞ F k − 1 z k − ∑ k = 2 ∞ F k − 2 z k = 0 z 0 +...
85 KB (12,946 words) - 22:47, 28 July 2025
A regular expression (shortened as regex or regexp), sometimes referred to as a rational expression, is a sequence of characters that specifies a match...
97 KB (8,871 words) - 07:36, 4 August 2025
461, 463, 467, 491, 523, 541, 547, 557, 577, 587, 593, ... (sequence A000928 in the OEIS) K. L. Jensen (a student of Niels Nielsen) proved in 1915 that...
20 KB (2,781 words) - 07:26, 21 July 2025
subsequence of the infinite sequence of regular numbers, ranging from 60 k {\displaystyle 60^{k}} to 60 k + 1 {\displaystyle 60^{k+1}} . See Gingerich (1965)...
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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...
31 KB (3,060 words) - 07:25, 30 July 2025
Degree (graph theory) (redirect from Degree sequence)
its vertex degrees. A sequence is k {\displaystyle k} -graphic if it is the degree sequence of some simple k {\displaystyle k} -uniform hypergraph. In...
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solution S {\displaystyle S} with a corresponding sequence of regular grid spacings ( h k ) {\displaystyle (h_{k})} that converge to 0 is said to have asymptotic...
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is a list of notable integer sequences with links to their entries in the On-Line Encyclopedia of Integer Sequences. OEIS core sequences Index to OEIS...
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single regular hexagon. However, this notation has two main problems related to ambiguous conformation and uniqueness First, when it comes to k-uniform...
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previous sequence, defined by 0.3333... := lim n → ∞ ∑ k = 1 n 3 10 k {\displaystyle 0.3333...:=\lim _{n\to \infty }\sum _{k=1}^{n}{\frac {3}{10^{k}}}} Finding...
27 KB (4,500 words) - 19:26, 28 July 2025
J. A. (ed.). "Sequence A007267 (Expansion of 16 * (1 + k^2)^4 /(k * k'^2)^2 in powers of q where k is the Jacobian elliptic modulus, k' the complementary...
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(ed.). "Sequence A007530 (Prime quadruples: numbers k such that k, k+2, k+6, k+8 are all prime)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation...
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Stellar classification (redirect from Harvard Spectral Sequence)
under the Morgan–Keenan (MK) system using the letters O, B, A, F, G, K, and M, a sequence from the hottest (O type) to the coolest (M type). Each letter class...
107 KB (11,666 words) - 18:43, 18 July 2025
String (computer science) (redirect from Sequence of symbols)
In computer programming, a string is traditionally a sequence of characters, either as a literal constant or as some kind of variable. The latter may allow...
41 KB (5,027 words) - 16:16, 11 May 2025
In graph theory, a strongly regular graph (SRG) is a regular graph G = (V, E) with v vertices and degree k such that for some given integers λ , μ ≥ 0...
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Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2023-01-09. Grünbaum, Branko; Shepard, Geoffrey (November 1977). "Tilings by Regular Polygons" (PDF)...
29 KB (2,747 words) - 19:53, 14 June 2025
operations: union K ∪ L, intersection K ∩ L, and complement L, hence also relative complement K − L. the regular operations: K ∪ L, concatenation K ∘ L {\displaystyle...
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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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main-sequence star B-type main-sequence star A-type main-sequence star F-type main-sequence star G-type main-sequence star K-type main-sequence star M-type...
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Gysin homomorphism (redirect from Gysin exact sequence)
spectral sequence. Consider a fiber-oriented sphere bundle with total space E, base space M, fiber Sk and projection map π {\displaystyle \pi } : S k ↪ E ⟶...
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Hyperperfect number (redirect from K-Hyperperfect number)
the sequence of k-hyperperfect numbers are 6, 21, 28, 301, 325, 496, 697, ... (sequence A034897 in the OEIS), with the corresponding values of k being...
10 KB (643 words) - 00:21, 30 July 2025