def definition def or abbrev

`averageEnergy`

No prose has been written for this declaration yet. The Lean source and graph data below render without it.

formal statement (Lean)

 199noncomputable def averageEnergy (sys : System) (beta : ℝ) : ℝ :=

Definition body.

 200  (sys.levels.map (fun l => l.energy * boltzmannFactor l beta)).sum / partitionFunction sys beta
 201
 202/-- Entropy S = kβ⟨E⟩ + k ln Z. -/

From the project-wide theorem graph. These declarations reference this one in their body.

entropy in IndisputableMonolith.Thermodynamics.BoltzmannDistribution decl_use
entropy_nonneg_of_Z_ge_one in IndisputableMonolith.Thermodynamics.BoltzmannDistribution decl_use
free_energy_identity in IndisputableMonolith.Thermodynamics.BoltzmannDistribution decl_use
averageEnergy in IndisputableMonolith.Thermodynamics.PartitionFunction decl_use
entropy in IndisputableMonolith.Thermodynamics.PartitionFunction decl_use
heatCapacity in IndisputableMonolith.Thermodynamics.PartitionFunction decl_use

Lean names referenced from this declaration's body.

boltzmannFactor in IndisputableMonolith.Chemistry.ActivationEnergy decl_use
boltzmannFactor in IndisputableMonolith.Chemistry.EnzymeCatalysis decl_use
E in IndisputableMonolith.Foundation.SpectralEmergence decl_use
boltzmannFactor in IndisputableMonolith.Information.ShannonEntropy decl_use
Z in IndisputableMonolith.Masses.Anchor decl_use
map in IndisputableMonolith.Measurement.RSNative.Core decl_use
Z in IndisputableMonolith.Physics.AnchorPolicyCertified decl_use
S in IndisputableMonolith.Relativity.ILG.Action decl_use
beta in IndisputableMonolith.Relativity.ILG.PPN decl_use
boltzmannFactor in IndisputableMonolith.Thermodynamics.BoltzmannDistribution decl_use
partitionFunction in IndisputableMonolith.Thermodynamics.BoltzmannDistribution decl_use
System in IndisputableMonolith.Thermodynamics.BoltzmannDistribution decl_use
partitionFunction in IndisputableMonolith.Thermodynamics.HelmholtzReal decl_use
partitionFunction in IndisputableMonolith.Thermodynamics.JCostThermoBridge decl_use
averageEnergy in IndisputableMonolith.Thermodynamics.PartitionFunction decl_use
beta in IndisputableMonolith.Thermodynamics.PartitionFunction decl_use
partitionFunction in IndisputableMonolith.Thermodynamics.PartitionFunction decl_use