Unicode subscripts and superscripts (redirect from ᵠ)
ᴺ ᴻ ᴼ ᴽ ᴾ ᴿ ᵀ ᵁ ᵂ ᵃ ᵄ ᵅ ᵆ ᵇ ᵈ ᵉ ᵊ ᵋ ᵌ ᵍ ᵏ ᵐ ᵑ ᵒ ᵓ ᵖ ᵗ ᵘ ᵚ ᵛ, Greek ᵝ ᵞ ᵟ ᵠ ᵡ, Cyrillic ᵸ, other ᵎ ᵔ ᵕ ᵙ ᵜ. These are intended to indicate secondary articulation...
46 KB (2,768 words) - 09:37, 2 September 2024
Euler's totient function (redirect from Φ(n))
prime to n. It is written using the Greek letter phi as φ ( n ) {\displaystyle \varphi (n)} or ϕ ( n ) {\displaystyle \phi (n)} , and may also be called...
44 KB (6,473 words) - 18:17, 31 July 2024
a linear expression, as in: 3 φ 3 − 5 φ 2 + 4 = 3 ( φ 2 + φ ) − 5 φ 2 + 4 = 3 [ ( φ + 1 ) + φ ] − 5 ( φ + 1 ) + 4 = φ + 2 ≈ 3.618033. {\displaystyle...
114 KB (13,011 words) - 13:06, 19 August 2024
latitude ϕ to the equator is given by (ϕ in radians) m ( ϕ ) = ∫ 0 ϕ M ( ϕ ′ ) d ϕ ′ = a ( 1 − e 2 ) ∫ 0 ϕ ( 1 − e 2 sin 2 ϕ ′ ) − 3 2 d ϕ ′ {\displaystyle...
47 KB (6,184 words) - 22:35, 25 August 2024
cos φ x ^ + sin θ sin φ y ^ + cos θ z ^ , θ ^ = cos θ cos φ x ^ + cos θ sin φ y ^ − sin θ z ^ , φ ^ = − sin φ x ^ + cos φ y ^ {\displaystyle...
42 KB (6,266 words) - 18:39, 18 August 2024
A ϕ ( z ) ( ρ + d ρ ) d ϕ − A ϕ ( z + d z ) ( ρ + d ρ ) d ϕ + A z ( ϕ + d ϕ ) d z − A z ( ϕ ) d z ( ρ + d ρ ) d ϕ d z = − ∂ A ϕ ∂ z + 1 ρ ∂ A z ∂ ϕ {\displaystyle...
34 KB (2,828 words) - 19:08, 26 July 2024
induction on n ≥ 1: φ n + 1 = ( F n φ + F n − 1 ) φ = F n φ 2 + F n − 1 φ = F n ( φ + 1 ) + F n − 1 φ = ( F n + F n − 1 ) φ + F n = F n + 1 φ + F n . {\displaystyle...
86 KB (12,984 words) - 06:50, 1 September 2024
Dynamical system (redirect from Φ-invariant)
2nd projection map) and for any x in X: Φ ( 0 , x ) = x {\displaystyle \Phi (0,x)=x} Φ ( t 2 , Φ ( t 1 , x ) ) = Φ ( t 2 + t 1 , x ) , {\displaystyle \Phi...
52 KB (7,067 words) - 22:55, 8 June 2024
cos φ , sin φ ) + 2 r ˙ φ ˙ ( − sin φ , cos φ ) + r φ ¨ ( − sin φ , cos φ ) − r φ ˙ 2 ( cos φ , sin φ ) = ( r ¨ − r φ ˙ 2 ) r...
48 KB (6,600 words) - 08:37, 23 June 2024
whose growth factor is φ, the golden ratio. That is, a golden spiral gets wider (or further from its origin) by a factor of φ for every quarter turn it...
12 KB (1,373 words) - 06:09, 12 June 2024
when at latitude ϕ), is about 111132.92 − 559.82 cos 2 ϕ + 1.175 cos 4 ϕ − 0.0023 cos 6 ϕ {\displaystyle 111132.92-559.82\,\cos 2\phi +1.175\,\cos...
22 KB (2,491 words) - 18:21, 12 August 2024
the following form: if X is a random variable and φ is a convex function, then φ ( E [ X ] ) ≤ E [ φ ( X ) ] . {\displaystyle \varphi (\operatorname...
29 KB (4,615 words) - 02:06, 2 September 2024
In physics and mathematics, the phase (symbol φ or ϕ) of a wave or other periodic function F {\displaystyle F} of some real variable t {\displaystyle t}...
19 KB (2,909 words) - 00:24, 15 June 2024
δ ′ , φ ⟩ = ⟨ δ ′ , x φ ⟩ = − ⟨ δ , ( x φ ) ′ ⟩ = − ⟨ δ , x ′ φ + x φ ′ ⟩ = − ⟨ δ , x ′ φ ⟩ − ⟨ δ , x φ ′ ⟩ = − x ′ ( 0 ) φ ( 0 ) − x ( 0 ) φ ′ ( 0 )...
94 KB (13,997 words) - 19:44, 27 August 2024
φ φ ^ + ∂ f ∂ z z ^ ∇ ⋅ A = 1 ρ ∂ ∂ ρ ( ρ A ρ ) + 1 ρ ∂ A φ ∂ φ + ∂ A z ∂ z ∇ × A = ( 1 ρ ∂ A z ∂ φ − ∂ A φ ∂ z ) ρ ^ + ( ∂ A ρ ∂ z − ∂ A z ∂ ρ ) φ ^...
18 KB (2,136 words) - 02:44, 23 May 2024
Phi (disambiguation) (redirect from Φ (disambiguation))
the free dictionary. Phi (Φ, φ, or ϕ) is the 21st letter of the Greek alphabet. Phi or PHI may also refer to: Golden ratio (φ) Phi coefficient, a measure...
3 KB (389 words) - 16:18, 19 March 2024
connectives, is this single clause: ϕ ::= a 1 , a 2 , … | ¬ ϕ | ϕ & ψ | ϕ ∨ ψ | ϕ → ψ | ϕ ↔ ψ {\displaystyle \phi ::=a_{1},a_{2}...
111 KB (11,054 words) - 07:19, 29 August 2024
\varphi .\end{aligned}}} J F ( r , φ ) = [ ∂ x ∂ r ∂ x ∂ φ ∂ y ∂ r ∂ y ∂ φ ] = [ cos φ − r sin φ sin φ r cos φ ] {\displaystyle \mathbf {J} _{\mathbf...
25 KB (3,593 words) - 19:18, 22 August 2024
spiral r = a φ n {\displaystyle r=a\varphi ^{n}\;} the length is L = ∫ φ 1 φ 2 n 2 r 2 φ 2 + r 2 d φ = a ∫ φ 1 φ 2 φ n − 1 n 2 + φ 2 d φ . {\displaystyle...
34 KB (4,541 words) - 02:03, 20 July 2024
function φ {\textstyle \varphi } whose value depends only on the distance between the input and some fixed point, either the origin, so that φ ( x ) = φ ^ (...
17 KB (1,738 words) - 20:12, 12 June 2024
w_{n}\right)\in H,} φ ( w ) = φ 1 w 1 + ⋯ + φ n w n = [ φ 1 , … , φ n ] [ w 1 ⋮ w n ] = [ φ 1 ¯ ⋮ φ n ¯ ] ¯ T w → = f φ → ¯ T w → = ⟨ f φ ∣ w ⟩ , {\displaystyle...
75 KB (12,630 words) - 11:15, 13 July 2024
cos ( φ 1 ) cos ( φ 2 ) + sin ( φ 1 ) sin ( φ 2 ) = sin ( φ 2 ) sin ( φ 1 ) + cos ( φ 2 ) cos ( φ 1 ) − cos ( φ 2 ) cos ( φ 1 ) + cos...
18 KB (2,539 words) - 13:56, 18 July 2024
Route 0 (group) (redirect from Route φ)
Route 0 (ルート・ヨン, Rūto Yon, stylized route φ) was a Japanese-Korean idol girl group formed by R & C Ltd. in 2002. The group consists of Marina Takahashi...
6 KB (372 words) - 05:48, 21 May 2024
Golden ratio base (redirect from Base φ)
√5/2 ≈ 1.61803399 symbolized by the Greek letter φ) as its base. It is sometimes referred to as base-φ, golden mean base, phi-base, or, colloquially, phinary...
15 KB (1,987 words) - 22:20, 11 September 2023
φ 1 − sin φ ] = R ln [ 1 + sin φ cos φ ] = R ln ( sec φ + tan φ ) = R tanh − 1 ( sin φ ) = R sinh − 1 ( tan φ ) = R sgn ( φ )...
48 KB (6,709 words) - 01:26, 1 September 2024
Φ ( 0 ) ( x 0 ) = 1 2 π ∫ − ∞ x 0 e − t 2 / 2 d t Φ ( 1 ) ( x 0 ) = 1 2 π e − x 0 2 / 2 Φ ( n ) ( x 0 ) = − ( x 0 Φ ( n − 1 ) ( x 0 ) + ( n − 2 ) Φ (...
149 KB (22,414 words) - 15:09, 2 September 2024
Var ( X ∣ a < X < b ) = σ 2 [ 1 − β φ ( β ) − α φ ( α ) Φ ( β ) − Φ ( α ) − ( φ ( β ) − φ ( α ) Φ ( β ) − Φ ( α ) ) 2 ] {\displaystyle \operatorname...
19 KB (2,251 words) - 04:38, 6 April 2024
⋅ | x ) [ ln p θ ( x , z ) q ϕ ( z | x ) ] = E ϵ [ ∇ ϕ ln p θ ( x , μ ϕ ( x ) + L ϕ ( x ) ϵ ) q ϕ ( μ ϕ ( x ) + L ϕ ( x ) ϵ | x ) ] {\displaystyle...
21 KB (3,166 words) - 09:21, 1 July 2024
ϕ F | e − i H T | ϕ I ⟩ = ∫ d ϕ 1 ∫ d ϕ 2 ⋯ ∫ d ϕ N − 1 ⟨ ϕ F | e − i H T / N | ϕ N − 1 ⟩ ⋯ ⟨ ϕ 2 | e − i H T / N | ϕ 1 ⟩ ⟨ ϕ 1 | e − i H T / N | ϕ I...
106 KB (14,897 words) - 17:13, 18 August 2024