entropy

49 triples

GPTKB property

hasEntropy

Subject	Object
gptkb:Beta_distribution	log B(alpha, beta) - (alpha-1)psi(alpha) - (beta-1)psi(beta) + (alpha+beta-2)psi(alpha+beta)
gptkb:Arcsine_distribution_(when_alpha=beta=0.5)	ln(π/4)
gptkb:Extreme_Value_Type_I_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:normal_distribution	0.5*ln(2πeσ²)
gptkb:Standard_normal_distribution	0.5*ln(2πe)
gptkb:uniform_distribution	ln(b-a)
gptkb:Gaussian_Distribution	0.5*ln(2πeσ^2)
gptkb:Exponential_distribution	1 - ln(lambda)
gptkb:Cauchy_distribution	ln(4πγ)
gptkb:double_exponential_distribution	1 + ln(2b)
gptkb:univariate_normal_distribution	0.5*ln(2πeσ^2)
gptkb:Kerr–Newman_black_hole	gptkb:Bekenstein–Hawking_entropy
gptkb:exponential_distribution_(when_k=1)	1 - ln(λ)
gptkb:Gaussian_distribution	0.5*ln(2πeσ^2)
gptkb:multivariate_normal_distribution	(1/2) ln((2πe)^k \|Σ\|)
gptkb:bernoulli_distribution	-p log p - (1-p) log (1-p)
gptkb:Laplace_distribution	1 + ln(2b)
gptkb:Log-normal_distribution	μ + 0.5 + ln(σ√(2π))
gptkb:Negative_binomial_distribution	Depends on r and p, no simple closed form