LogP may refer to: Partition coefficient, the name of a ratio in organic and medicinal chemistry. LogP machine, a model for parallel computation. This...

org. Overview of the many logP and other physical property calculators available commercially and on-line. XLOGP3, a simple LogP estimater used by PubChem...

as the pIC50 (or pEC50) of interest minus the LogP of the compound. LiPE = pIC 50 − log ⁡ P {\displaystyle {\ce {LiPE}}={\ce {pIC50}}-\log P} In practice...

The LogP machine is a model for parallel computation. It aims at being more practical than the PRAM model while still allowing for easy analysis of computation...

logp(zw) = logpz + logpw. For z in the domain of expp, we have expp(logp(1+z)) = 1+z and logp(expp(z)) = z. The roots of the Iwasawa logarithm logp(z)...

{X}}}p(x)\log p(x),} where Σ {\displaystyle \Sigma } denotes the sum over the variable's possible values. The choice of base for log {\displaystyle \log }...

The lipophilicity of fluorenol (LogP 2.4) is higher than that of drugs like modafinil (LogP 1.7) and amphetamine (LogP 1.8), suggesting that it may penetrate...

KL ( P ∥ Q ) = ∑ x ∈ X P ( x )   log ⁡ (   P ( x )   Q ( x ) ) . {\displaystyle D_{\text{KL}}(P\parallel Q)=\sum _{x\in {\mathcal {X}}}P(x)\ \log \left({\frac...

The log-likelihood of this is: ℓ ( p 1 , p 2 , … , p m ) = log ⁡ n ! − ∑ i = 1 m log ⁡ x i ! + ∑ i = 1 m x i log ⁡ p i {\displaystyle \ell (p_{1},p_{2}...

spectra. The log-spectral distance between spectra P ( ω ) {\displaystyle P\left(\omega \right)} and P ^ ( ω ) {\displaystyle {\hat {P}}\left(\omega...

p ( X , Y ) ( x , y ) = p X ( x ) ⋅ p Y ( y ) {\displaystyle p_{(X,Y)}(x,y)=p_{X}(x)\cdot p_{Y}(y)} , and therefore: log ⁡ ( p ( X , Y ) ( x , y ) p X...

p + 1 2 ) ( p log ⁡ 2 + log ⁡ | V | ) + p ( p − 1 ) 4 log ⁡ π + ∑ j = 1 p log ⁡ Γ ( η 2 + p + 1 2 + 1 − j 2 ) ] = p log ⁡ 2 + log ⁡ | V | + ∑ j = 1 p...

PMC 1568760. PMID 3905374. Kellogg GE, Abraham DJ (July 2000). "Hydrophobicity: is LogP(o/w) more than the sum of its parts?". European Journal of Medicinal Chemistry...

called "cLogP". As the lipophilicity of ionizable compounds is strongly dependent of pH, the distribution coefficient logD, or a logP vs pH curve may...

A skew-T log-P diagram is one of four thermodynamic diagrams commonly used in weather analysis and forecasting. In 1947, N. Herlofson proposed a modification...

and Leo54 found that blood-brain barrier penetration is optimal when the LogP values are in the range of 1.5-2.7, with the mean value of 2.1. An analysis...

⁡ n − ( log ⁡ log ⁡ n ) 2 − 6 log ⁡ log ⁡ n + 11 2 ( log ⁡ n ) 2 + o ( 1 ( log ⁡ n ) 2 ) . {\displaystyle {\frac {p_{n}}{n}}=\log n+\log \log n-1+{\frac...

+ 1 3 x log ⁡ x log ⁡ log ⁡ log ⁡ x , {\displaystyle \pi (x)>\operatorname {li} (x)+{\frac {1}{3}}{\frac {\sqrt {x}}{\log x}}\log \log \log x,} and that...

In probability theory, a log-normal (or lognormal) distribution is a continuous probability distribution of a random variable whose logarithm is normally...

as unit: H b ( p ) = − p log 2 ⁡ p − ( 1 − p ) log 2 ⁡ ( 1 − p ) . {\displaystyle H_{\mathrm {b} }(p)=-p\log _{2}p-(1-p)\log _{2}(1-p).} The joint entropy...

partition coefficient in non-polar medium, as characterized by experimental logP 5.284 Myristamine oxide – An analogous compound with a C14 tail Birnie, C...

PMID 14554012. Free online calculations of Hydrogen bond donor/acceptor, mass and logP using ChemAxon's Marvin and Calculator Plugins – requires Java Calculation...

log ⁡ ( P ( x 2 | θ ) ) + log ⁡ ( P ( x 3 | θ ) ) + . . . + log ⁡ ( P ( x n | θ ) ) {\displaystyle \log(l(\theta ))=\log(P(x_{1}|\theta ))+\log(P(x_{2}|\theta...

log p ⁡ b ) {\displaystyle (\log _{p}a)/(\log _{p}b)} is either rational or transcendental, where logp is the p-adic logarithm function. The transcendence...

a constant, so we get: log ⁡ p ( X ∣ θ ) = ∑ Z p ( Z ∣ X , θ ( t ) ) log ⁡ p ( X , Z ∣ θ ) − ∑ Z p ( Z ∣ X , θ ( t ) ) log ⁡ p ( Z ∣ X , θ ) = Q ( θ ∣...

is log ⁡ ( p 11 p 00 p 01 p 10 ) = log ⁡ ( p 11 ) + log ⁡ ( p 00 ) − log ⁡ ( p 10 ) − log ⁡ ( p 01 ) . {\displaystyle {\log \left({\frac {p_{11}p...

}(1-p)^{k-1}p\ln \left((1-p)^{k-1}p\right)\\&=-\sum _{k=1}^{\infty }(1-p)^{k-1}p\left[(k-1)\ln(1-p)+\ln p\right]\\&=-\log p+{\frac {1-p}{p}}\log(1-p)\end{aligned}}}...

logarithmic form p K a = − log 10 ⁡ K a = log 10 ⁡ [ HA ] [ A − ] [ H + ] {\displaystyle \mathrm {p} K_{{\ce {a}}}=-\log _{10}K_{\text{a}}=\log _{10}{\frac...

explicitly: H ⁡ ( X ) = − p log 2 ⁡ p − ( 1 − p ) log 2 ⁡ ( 1 − p ) . {\displaystyle \operatorname {H} (X)=-p\log _{2}p-(1-p)\log _{2}(1-p).} Note that the values...

and Leo54 found that blood-brain barrier penetration is optimal when the LogP values are in the range of 1.5-2.7, with the mean value of 2.1. An analysis...