pith. machine review for the scientific record. sign in
def definition def or abbrev

partitionFunction

show as:
view Lean formalization →

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

generate prose now

formal statement (Lean)

  55noncomputable def partitionFunction (sys : DiscreteSystem) (T : ℝ) (hT : T > 0) : ℝ :=

proof body

Definition body.

  56  ∑ i : Fin sys.numLevels, (sys.degeneracy i : ℝ) * exp (-beta T hT * sys.energy i)
  57
  58/-- **THEOREM**: Partition function is always positive. -/

used by (27)

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

depends on (12)

Lean names referenced from this declaration's body.