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entropy
URI:
https://gptkb.org/prop/entropy
49
triples
GPTKB property
Alternative names (1)
hasEntropy
Random triples
Subject
Object
gptkb:exponential_distribution
1 - ln(lambda)
gptkb:Bernoulli_random_variable
-p log p - (1-p) log (1-p)
gptkb:Kerr–Newman_black_hole_(with_charge)
gptkb:Bekenstein–Hawking_entropy
gptkb:exponential_distribution_(when_k=1)
1 - ln(λ)
gptkb:Arcsine_distribution_(when_alpha=beta=0.5)
ln(π/4)
gptkb:Normal_Distribution_Function
(1/2)ln(2πeσ^2)
gptkb:Schwarzschild_black_hole_(if_charge_is_zero)
proportional to area
gptkb:Cauchy_distribution
ln(4πγ)
gptkb:multivariate_normal_distribution
(1/2) ln((2πe)^k |Σ|)
gptkb:Gamma_distribution
k + ln(θΓ(k)) + (1-k)ψ(k)
gptkb:Standard_normal_distribution
0.5*ln(2πe)
gptkb:Standard_uniform_distribution
0
gptkb:uniform_distribution
ln(b-a)
gptkb:Negative_binomial_distribution
Depends on r and p, no simple closed form
gptkb:Dirichlet_distribution
function of alpha vector and digamma function
gptkb:Gumbel_distribution
ln(β) + γ + 1
gptkb:beta_distribution
log B(alpha, beta) - (alpha-1)ψ(alpha) - (beta-1)ψ(beta) + (alpha+beta-2)ψ(alpha+beta)
gptkb:Uniform_distribution_(when_alpha=1,_beta=1)
0
gptkb:bernoulli_distribution
-p log p - (1-p) log (1-p)
gptkb:Extreme_Value_Type_I_distribution
ln(β) + γ + 1