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...
48 KB (6,712 words) - 03:10, 2 November 2024
Alpha and Omega (redirect from Α and Ω)
Alpha (Α, α) and omega (Ω, 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 (985 words) - 09:02, 14 October 2024
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 (7,901 words) - 16:52, 6 November 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 (728 words) - 13:28, 19 September 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
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
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
Eicosanoid (section The ω−3 and ω−6 series)
including humans, are unable to convert ω−6 into ω−3 PUFA. In consequence, tissue levels of the ω−6 and ω−3 PUFAs and their corresponding eicosanoid...
86 KB (9,651 words) - 06:41, 2 November 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)...
8 KB (859 words) - 09:36, 11 October 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 (2,565 words) - 23:18, 2 November 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) - 23:34, 14 October 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 (17,280 words) - 14:54, 2 November 2024
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 (961 words) - 08:54, 3 November 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
Euler angles Ω, i, ω is: x 1 = cos Ω ⋅ cos ω − sin Ω ⋅ cos i ⋅ sin ω ; x 2 = sin Ω ⋅ cos ω + cos Ω ⋅ cos i ⋅ sin ω ; x 3 = sin...
24 KB (3,178 words) - 17:40, 9 November 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) - 14:12, 26 September 2024
Zero-ohm link (redirect from 0 Ω resistor)
which is typically in the range of 10–50 mΩ. However variants with ultra low resistance of under 0.5 mΩ are available. A percentage tolerance would...
4 KB (505 words) - 04:04, 27 July 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
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 several scripts, such as the Latin...
114 KB (8,916 words) - 13:44, 12 November 2024
rewrite as d L d t = Ω × L {\displaystyle {\frac {d\mathbf {L} }{dt}}={\boldsymbol {\Omega }}\times \mathbf {L} } where Ω = − g a k ω z ^ {\displaystyle...
20 KB (3,000 words) - 11:57, 27 October 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) - 14:52, 16 August 2024
ω N 2 Q = ζ ω N = 1 τ {\displaystyle \alpha ={\omega _{\mathrm {N} } \over 2Q}=\zeta \omega _{\mathrm {N} }={1 \over \tau }} and τ = 2 Q ω N = 1 ζ ω N...
33 KB (3,901 words) - 04:09, 17 October 2024
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 (2,387 words) - 20:33, 27 September 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
∑ ω ∈ Ω P ( ω ∣ B ) = 1. {\displaystyle \sum _{\omega \in \Omega }{P(\omega \mid B)}=1.} Substituting 1 and 2 into 3 to select α: 1 = ∑ ω ∈ Ω P ( ω ∣...
33 KB (4,707 words) - 21:09, 15 October 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 (2,450 words) - 11:26, 12 November 2024