def
definition
def or abbrev
entropy
show as:
view Lean formalization →
formal statement (Lean)
85noncomputable def entropy (sys : DiscreteSystem) (T : ℝ) (hT : T > 0) : ℝ :=
proof body
Definition body.
86 k_B * (log (partitionFunction sys T hT) + beta T hT * averageEnergy sys T hT)
87
88/-- Heat capacity C_V = ∂⟨E⟩/∂T. -/
used by (40)
-
cone_bound_export -
cone_entropy_bound -
ConeEntropyFacts -
complementary_explanation -
jcost_ground_state -
before_asymm -
entropy -
initial_state_minimum_entropy -
nonunity_positive_entropy -
unity_unique_minimizer -
c_RS_neg -
blackHoleHorizonStatesCert -
c_RS_band -
N_horizon_pos -
bhMass_nonneg_in_window -
blackHoleInformationCert -
entropy_bound_by_initial_BH_half -
joint_VN_entropy -
joint_VN_entropy_conserved -
joint_VN_entropy_zero -
naive_entropy_sum -
pageEntropy -
page_time_at_half_evap -
S_BH_anti -
S_BH_at_def -
S_radiation_at -
S_radiation_le_S_thermal -
S_R_at_page_eq_S_BH -
S_thermal_at_def -
mass_lt_implies_page_lt