Mean Energy eq ratio of integrals
CanonicalEnsemble.meanEnergy_eq_ratio_of_integrals
Plain-language statement
The mean energy can be expressed as a ratio of integrals.
Source project: Physlib
Person-level attribution pending.
Source-pinned research
Search theorem names, mathematical ideas, modules, topics, projects, and role-labelled researchers. Open a result for its complete indexed Lean declaration and source record.
This index contains 591 research declarations. Search 10,000 more complete Mathlib declarations.
591 results
Clear filtersCanonicalEnsemble.meanEnergy_eq_ratio_of_integrals
Plain-language statement
The mean energy can be expressed as a ratio of integrals.
Source project: Physlib
Person-level attribution pending.
CanonicalEnsemble.thermodynamicEntropy_eq_differentialEntropy_sub_correction
Plain-language statement
Fundamental relation between thermodynamic and differential entropy: S_thermo = S_diff - kB * dof * log h.
Source project: Physlib
Person-level attribution pending.
CanonicalEnsemble.thermodynamicEntropy_eq_shannonEntropy
Plain-language statement
In the finite, nonempty case the thermodynamic and Shannon entropies coincide. All semi-classical correction factors vanish (dof = 0, phaseSpaceUnit = 1), so the absolute thermodynamic entropy reduces to the discrete Shannon form.
Source project: Physlib
Person-level attribution pending.
CanonicalEnsemble.twoState_probability_fst
Plain-language statement
Probability of the first state (energy E₀) in closed form.
Source project: Physlib
Person-level attribution pending.
CanonicalEnsemble.twoState_probability_snd
Plain-language statement
Probability of the second state (energy E₁) in closed form.
Source project: Physlib
Person-level attribution pending.
CKMMatrix.rows_linearly_independent
Plain-language statement
The rows of a CKM matrix are linearly independent.
Source project: Physlib
Person-level attribution pending.