of log(x) without a subscript base should be interpreted as a natural logarithm, also commonly written as ln(x) or loge(x). In mathematics, the gamma function...
90 KB (13,365 words) - 22:20, 23 August 2024
The hybrid log–gamma (HLG) transfer function is a transfer function jointly developed by the BBC and NHK for high dynamic range (HDR) display. It is backward...
41 KB (4,143 words) - 00:17, 21 June 2024
log 2 + ( k − 1 ) ( γ − 2 Ei ( − log 2 ) − log log 2 ) {\displaystyle \nu (k)\geq \log 2+(k-1)(\gamma -2\operatorname {Ei} (-\log 2)-\log \log...
60 KB (8,717 words) - 19:52, 20 August 2024
Euler's constant (redirect from Euler-Mascheroni gamma constant)
letter gamma (γ), defined as the limiting difference between the harmonic series and the natural logarithm, denoted here by log: γ = lim n → ∞ ( − log n...
52 KB (7,665 words) - 16:28, 8 September 2024
Gamma ray logging is a method of measuring naturally occurring gamma radiation to characterize the rock or sediment in a borehole or drill hole. It is...
7 KB (869 words) - 23:12, 4 December 2022
Exponential family (redirect from Log-partition function)
{d}{dx}}\log \Gamma (x).} Then: E [ log | X | ] = ∂ A ( … , η 2 ) ∂ η 2 = ∂ ∂ η 2 [ − ( η 2 + p + 1 2 ) ( p log 2 + log | V | ) + log Γ p ( η...
83 KB (11,136 words) - 13:40, 21 June 2024
_{p}-\alpha _{q})\psi (\alpha _{p})-\log \Gamma (\alpha _{p})+\log \Gamma (\alpha _{q})+\alpha _{q}(\log \beta _{p}-\log \beta _{q})+\alpha _{p}{\frac {\beta...
11 KB (1,621 words) - 19:42, 11 September 2024
A log profile, or logarithmic profile, is a shooting profile, or gamma curve, found on some digital video cameras that gives a wide dynamic and tonal range...
4 KB (485 words) - 08:54, 20 August 2024
out ) d log ( V in ) . {\displaystyle \gamma ={\frac {\mathrm {d} \log(V_{\text{out}})}{\mathrm {d} \log(V_{\text{in}})}}.} That is, gamma can be visualized...
43 KB (5,349 words) - 07:00, 21 April 2024
Gumbel distribution (redirect from Log-Weibull distribution)
and GIG distributions. Theory related to the generalized multivariate log-gamma distribution provides a multivariate version of the Gumbel distribution...
16 KB (2,293 words) - 09:09, 13 July 2024
Barnes G-function (category Gamma and related functions)
double gamma function, is log G ( 1 + z ) = z 2 log ( 2 π ) + ∫ 0 ∞ d t t [ 1 − e − z t 4 sinh 2 t 2 + z 2 2 e − t − z t ] {\displaystyle \log G(1+z)={\frac...
14 KB (2,634 words) - 19:01, 18 August 2024
base 2: log ( y ) = ( γ log ( a ) ) x + log ( λ ) . {\displaystyle \log(y)=(\gamma \log(a))x+\log(\lambda ).} A log–linear (sometimes log–lin) plot...
8 KB (1,133 words) - 21:44, 8 May 2024
∫ 0 1 log ( Q ′ ( p ; γ ) ) d p = log ( 4 π γ ) {\displaystyle H(\gamma )=\int _{0}^{1}\log \,(Q'(p;\gamma ))\,\mathrm {d} p=\log(4\pi \gamma )} The...
45 KB (6,843 words) - 22:08, 3 August 2024
a p-adic analog Gp of log Γ. Overholtzer (1952) had previously given a definition of a different p-adic analogue of the gamma function, but his function...
8 KB (1,418 words) - 01:59, 9 May 2024
proportional to |z| log |z| in the left-half plane). The reciprocal is sometimes used as a starting point for numerical computation of the gamma function, and...
11 KB (1,437 words) - 14:18, 7 August 2024
quantizer (PQ [SMPTE ST 2084]) or hybrid log–gamma (HLG) transfer functions instead of the traditional "gamma" previously used for SDR-TV. It defines various...
8 KB (825 words) - 10:38, 9 September 2024
as ψ p ( a ) = ∂ log Γ p ( a ) ∂ a = ∑ i = 1 p ψ ( a + ( 1 − i ) / 2 ) , {\displaystyle \psi _{p}(a)={\frac {\partial \log \Gamma _{p}(a)}{\partial...
5 KB (958 words) - 12:47, 25 May 2022
Transfer functions in imaging (section Gamma)
Creators | What is S-Log?". helpguide.sony.net. Retrieved 2021-02-02. "Canon Log Gamma". Canon Europe. Retrieved 2021-02-02. "Log C". www.arri.com. Retrieved...
7 KB (652 words) - 22:49, 8 December 2023
Clausen function (redirect from Log sine integral)
z)=2\pi \log \left({\frac {G(1-z)}{G(z)}}\right)-2\pi \log \Gamma (z)+2\pi z\log {\big (}\Gamma (z)\Gamma (1-z){\big )}} Some special values for higher order...
31 KB (6,497 words) - 16:57, 15 May 2024
{\displaystyle \gamma } and the special activity coefficients γ i {\displaystyle \gamma _{i}} is: 248 log ( γ ) = ∑ i = 1 s ν i log ( γ i ) . {\displaystyle...
42 KB (7,541 words) - 23:33, 11 August 2024
∫ 0 1 log Γ q ( x ) d x = 1 2 log ( 1 − q ) − ζ ( 2 ) log q + log ( q ; q ) ∞ ( 0 < q < 1 ) . {\displaystyle \int _{0}^{1}\log \Gamma _{q}(x)dx={\frac...
10 KB (2,097 words) - 02:47, 4 January 2024
defined in terms of the gamma function as θ ( t ) = arg ( Γ ( 1 4 + i t 2 ) ) − log π 2 t {\displaystyle \theta (t)=\arg \left(\Gamma \left({\frac {1}{4}}+{\frac...
10 KB (1,522 words) - 21:36, 26 July 2024
The gamma ray log, measuring the natural radioactivity, was introduced by Well Surveys Inc. in 1939, and the WSI neutron log came in 1941. The gamma ray...
32 KB (4,114 words) - 13:42, 16 February 2024
Wishart distribution (section Log-expectation)
is the multivariate digamma function (the derivative of the log of the multivariate gamma function). The following variance computation could be of help...
27 KB (4,173 words) - 09:02, 14 August 2024
1 2 π log | z − x | + γ ( z , x ) , {\displaystyle G(z,x)=-{\frac {1}{2\pi }}\log |z-x|+\gamma (z,x),} where γ ( z , x ) {\displaystyle \gamma (z,x)}...
13 KB (1,978 words) - 01:52, 10 April 2024
colour bar pattern named Colour Bars for Use in the Production of Hybrid Log Gamma (HDR) UHDTV, designed for HDR broadcasts, taking into account the extended...
12 KB (1,149 words) - 23:20, 13 September 2024
Fisher–Tippett, extreme value, or log-Weibull distribution Fisher's z-distribution The skewed generalized t distribution The gamma-difference distribution, which...
22 KB (2,609 words) - 12:49, 10 February 2024
In probability theory and statistics, the generalized multivariate log-gamma (G-MVLG) distribution is a multivariate distribution introduced by Demirhan...
5 KB (1,019 words) - 20:02, 9 December 2016
Likelihood function (redirect from Log-likelihood)
{L}}(\alpha ,\beta \mid x)=\alpha \log \beta -\log \Gamma (\alpha )+(\alpha -1)\log x-\beta x.\,} To maximize the log-likelihood, we first take the partial derivative...
64 KB (8,534 words) - 19:57, 20 July 2024
)^{-1}\left(-\lambda \log \mathrm {B} ({\boldsymbol {\alpha }})+\sum _{i=1}^{K}\log \Gamma (\lambda (\alpha _{i}-1)+1)-\log \Gamma (\lambda (\alpha _{0}-K)+K)\right)}...
41 KB (6,539 words) - 11:38, 8 August 2024