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 estimator 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 }...

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 a mean value of 2.1. An analysis...

distribution P. Mathematically, it is defined as D KL ( P ∥ Q ) = ∑ x ∈ X P ( x )   log ⁡ (   P ( x )   Q ( x ) ) . {\displaystyle D_{\text{KL}}(P\parallel...

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...

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...

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...

(known as "XLogP" or "ALogP") or by chemical fragment methods (known as "CLogP" and other variations). It has been shown that the logP of compound can...

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

) = ∑ p  is prime p ≤ x log ⁡ p ⌊ log ⁡ x log ⁡ p ⌋ ≤ ∑ p  is prime p ≤ x log ⁡ x = π ( x ) log ⁡ x {\displaystyle \psi (x)=\sum _{\overset {p\leq x}{\...

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...

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}...

+ 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...

log ⁡ log ⁡ p n ⋅ log ⁡ log ⁡ log ⁡ log ⁡ p n log ⁡ log ⁡ log ⁡ p n {\displaystyle \ {p_{n+1}-p_{n}}{>}{\frac {c\cdot \log p_{n}\cdot \log \log p_{n}\cdot...

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...

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...

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...

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

p ) = H ( p , 1 − p ) = − p log ⁡ p − ( 1 − p ) log ⁡ ( 1 − p ) {\displaystyle \mathrm {H} _{\mbox{b}}(p)=\mathrm {H} (p,1-p)=-p\log p-(1-p)\log(1-p)\...

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 ∣...

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...

when expressed in log-space: log ⁡ p ( C k ∣ x ) ∝ log ⁡ ( p ( C k ) ∏ i = 1 n p k i x i ) = log ⁡ p ( C k ) + ∑ i = 1 n x i ⋅ log ⁡ p k i = b + w k ⊤ x...

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...

) := − log ⁡ [ p X ( x ) ] = log ⁡ ( 1 p X ( x ) ) . {\displaystyle \operatorname {I} _{X}(x):=-\log {\left[p_{X}{\left(x\right)}\right]}=\log {\left({\frac...

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