an ω-automaton (or stream automaton) is a variation of a finite automaton that runs on infinite, rather than finite, strings as input. Since ω-automata...
15 KB (2,030 words) - 11:31, 29 February 2024
Ordinal number (redirect from Ω (ordinal number))
these come ω·2 (which is ω+ω), ω·2+1, ω·2+2, and so on, then ω·3, and then later on ω·4. Now the set of ordinals formed in this way (the ω·m+n, where...
47 KB (6,717 words) - 10:52, 24 July 2024
In set theory, Ω-logic is an infinitary logic and deductive system proposed by W. Hugh Woodin (1999) as part of an attempt to generalize the theory of...
6 KB (722 words) - 13:38, 28 March 2023
s = 0. For this transfer function, its gain is G ( ω ) = 2 ζ ω 0 ω ( 2 ω ω 0 ζ ) 2 + ( ω 0 2 − ω 2 ) 2 . {\displaystyle G(\omega )={\frac {2\zeta \omega...
60 KB (7,908 words) - 04:29, 29 July 2024
Alpha and Omega (redirect from Α and Ω)
Alpha (Α or α) and omega (Ω or ω) are the first and last letters of the Greek alphabet, and a title of Christ and God in the Book of Revelation. This pair...
8 KB (982 words) - 23:54, 10 May 2024
First uncountable ordinal (redirect from Ω₁)
first uncountable ordinal, traditionally denoted by ω 1 {\displaystyle \omega _{1}} or sometimes by Ω {\displaystyle \Omega } , is the smallest ordinal...
4 KB (566 words) - 20:31, 11 March 2024
In mathematics, an ω-bounded space is a topological space in which the closure of every countable subset is compact. More generally, if P is some property...
997 bytes (109 words) - 19:02, 4 July 2021
Chaitin's constant (redirect from Chaitin's constant Ω)
encoding programs, it is common to use the letter Ω to refer to them as if there were only one. Because Ω depends on the program encoding used, it is sometimes...
17 KB (2,362 words) - 12:20, 24 April 2024
Angular velocity tensor (section Exponential of Ω)
velocity tensor is a skew-symmetric matrix defined by: Ω = ( 0 − ω z ω y ω z 0 − ω x − ω y ω x 0 ) {\displaystyle \Omega ={\begin{pmatrix}0&-\omega _{z}&\omega...
14 KB (2,523 words) - 15:45, 8 September 2023
Omega-regular language (redirect from Ω-regular language)
The ω-regular languages are a class of ω-languages that generalize the definition of regular languages to infinite words. An ω-language L is ω-regular...
5 KB (603 words) - 16:59, 3 August 2022
Omega (disambiguation) (redirect from Ω (disambiguation))
Look up omega, Omega, Ω, or ω in Wiktionary, the free dictionary. Omega (Ω or ω) is the twenty-fourth and last letter of the Greek alphabet. Omega may...
8 KB (947 words) - 00:58, 20 May 2024
K–omega turbulence model (redirect from K–ω turbulence model)
i ∂ x j , ∂ ( ρ ω ) ∂ t + ∂ ( ρ u j ω ) ∂ x j = α ω k ρ P − β ρ ω 2 + ∂ ∂ x j [ ( μ + σ ω ρ k ω ) ∂ ω ∂ x j ] + ρ σ d ω ∂ k ∂ x j ∂ ω ∂ x j . {\displaystyle...
3 KB (410 words) - 14:44, 8 May 2024
Nominal impedance (redirect from 50 Ω)
most common nominal impedance for loudspeakers is 8 Ω. Also used are 4 Ω and 16 Ω. The once common 16 Ω is now mostly reserved for high frequency compression...
24 KB (3,290 words) - 18:38, 11 July 2024
Omega Centauri (redirect from Ω Cen)
Omega Centauri (ω Cen, NGC 5139, or Caldwell 80) is a globular cluster in the constellation of Centaurus that was first identified as a non-stellar object...
25 KB (2,444 words) - 04:13, 23 July 2024
Eicosanoid (section The ω-3 and ω-6 series)
tissue levels of the ω-6 and ω-3 PUFAs and their corresponding eicosanoid metabolites link directly to the amount of dietary ω-6 versus ω-3 PUFAs consumed...
82 KB (9,517 words) - 16:23, 9 April 2024
In physics, angular frequency (symbol ω), also called angular speed and angular rate, is a scalar measure of the angle rate (the angle per unit time)...
9 KB (864 words) - 16:50, 26 June 2024
In physics, angular velocity (symbol ω or ω → {\displaystyle {\vec {\omega }}} , the lowercase Greek letter omega), also known as angular frequency vector...
17 KB (2,525 words) - 13:28, 21 June 2024
inside Ω, it decreases in value as x approaches the boundary of Ω where the signed distance function is zero, and it takes negative values outside of Ω. However...
11 KB (1,359 words) - 07:47, 15 July 2024
In mathematical logic, an ω-consistent (or omega-consistent, also called numerically segregative) theory is a theory (collection of sentences) that is...
13 KB (1,941 words) - 12:31, 30 January 2024
number, with the same units as resistance, for which the SI unit is the ohm (Ω). Its symbol is usually Z, and it may be represented by writing its magnitude...
32 KB (5,061 words) - 10:03, 13 June 2024
Omega language (redirect from Ω-language)
infinite-length sequence (specifically, an ω-length sequence) of symbols, and an ω-language is a set of infinite words. Here, ω refers to the first infinite ordinal...
5 KB (758 words) - 17:39, 18 March 2024
Κ κ, Λ λ, Μ μ, Ν ν, Ξ ξ, Ο ο, Π π, Ρ ρ, Σ σ/ς, Τ τ, Υ υ, Φ φ, Χ χ, Ψ ψ, Ω ω. The Greek alphabet is the ancestor of the Latin and Cyrillic scripts. Like...
104 KB (8,219 words) - 22:59, 24 July 2024
equation gives − ω 2 A e i ( ω τ + φ ) + 2 ζ i ω A e i ( ω τ + φ ) + A e i ( ω τ + φ ) = ( − ω 2 A + 2 ζ i ω A + A ) e i ( ω τ + φ ) = e i ω τ . {\displaystyle...
33 KB (4,575 words) - 12:29, 22 July 2024
Δ r i × ( ω × ( ω × Δ r i ) ) + ω × ( ( ω × Δ r i ) × Δ r i ) + ( ω × Δ r i ) × ( Δ r i × ω ) = Δ r i × ( ω × ( ω × Δ r i ) ) + ω × ( ( ω × Δ r i ) ×...
91 KB (17,259 words) - 17:34, 4 July 2024
Symplectic matrix (section The matrix Ω)
identity matrix. The matrix Ω {\displaystyle \Omega } has determinant + 1 {\displaystyle +1} and its inverse is Ω − 1 = Ω T = − Ω {\displaystyle \Omega ^{-1}=\Omega...
15 KB (2,320 words) - 19:05, 6 June 2024
thus;[citation needed] Ω R {\displaystyle \Omega _{R}} became Ω + {\displaystyle \Omega _{+}} and Ω L {\displaystyle \Omega _{L}} became Ω − {\displaystyle...
65 KB (8,289 words) - 19:11, 10 July 2024
C 1 e ω 1 t + C 2 e − ω 1 t ) , {\displaystyle x(t)=e^{-\beta t}\left(C_{1}e^{\omega _{1}t}+C_{2}e^{-\omega _{1}t}\right),} where ω 1 = β 2 − ω 0 2 {\textstyle...
21 KB (3,037 words) - 06:24, 21 June 2024
= ∑ ω ∈ A p ( ω ) δ ω ( E ) , {\displaystyle P(X\in E)=\sum _{\omega \in A}p(\omega )\delta _{\omega }(E),} or in short, P X = ∑ ω ∈ A p ( ω ) δ ω . {\displaystyle...
47 KB (6,403 words) - 22:15, 28 July 2024
Ω ) ≥ lim inf n → ∞ ∫ Ω u n ( x ) div ϕ d x ≥ ∫ Ω lim n → ∞ u n ( x ) div ϕ d x = ∫ Ω u ( x ) div ϕ d x ∀ ϕ ∈ C c 1 ( Ω , R n ) , ‖ ϕ ‖ L ∞ ( Ω )...
62 KB (8,506 words) - 04:34, 19 July 2024