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entropy
URI:
https://gptkb.org/prop/entropy
49
triples
GPTKB property
Alternative names (1)
hasEntropy
Random triples
Subject
Object
gptkb:Bernoulli_random_variable
-p log p - (1-p) log (1-p)
gptkb:Negative_binomial_distribution
Depends on r and p, no simple closed form
gptkb:Normal_Distribution
0.5*ln(2πeσ^2)
gptkb:exponential_distribution
1 - ln(lambda)
gptkb:normal_distribution_(precision_parameter)
(1/2) * log(2πe/τ)
gptkb:Beta_distribution
log B(alpha, beta) - (alpha-1)psi(alpha) - (beta-1)psi(beta) + (alpha+beta-2)psi(alpha+beta)
gptkb:Normal_distribution
0.5*ln(2πeσ^2)
gptkb:Dirichlet_distribution
function of alpha vector and digamma function
gptkb:Standard_Normal_Distribution
0.5*ln(2πe)
gptkb:standard_multivariate_normal_distribution
(n/2)(1+ln(2π))
gptkb:bernoulli_distribution
-p log p - (1-p) log (1-p)
gptkb:Bernoulli_distribution
-p log(p) - (1-p) log(1-p)
gptkb:exponential_distribution_(when_k=1)
1 - ln(λ)
gptkb:Chi-squared_distribution
Depends on k, involves digamma and gamma functions
gptkb:Normal_distribution_(standard_parameterization)
0.5*ln(2πeσ^2)
gptkb:Schwarzschild_black_hole_(if_charge_is_zero)
proportional to area
gptkb:Kerr–Newman_black_hole
gptkb:Bekenstein–Hawking_entropy
gptkb:Gumbel_distribution
ln(β) + γ + 1
gptkb:Categorical_distribution
-Σ p_i log p_i
gptkb:Gamma_distribution
k + ln(θΓ(k)) + (1-k)ψ(k)
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