Corpus definition canonical 2026-05-27T20:53:50+00:00
Corpus v3 · Definition cid001527DEF0297canonicalv1

Spectral Measure

Spectral measure μ_spec assigns weight 1/N to each eigenvalue λ_n. Total measure = 1 (all modes counted). Counting measure on the discrete spectrum.

Payload

Spectral Measure

Spectral measure μ_spec assigns weight 1/N to each eigenvalue λ_n. Total measure = 1 (all modes counted). Counting measure on the discrete spectrum.

Spectral Measure

Summary

Spectral measure μ_spec assigns weight 1/N to each eigenvalue λ_n. Total measure = 1 (all modes counted). Counting measure on the discrete spectrum.

Statement

No manuscript statement was extracted in this pilot run.

Proof / Justification

This item is definitional. No manuscript proof is required.

Source Context

  • Registry source: book-03.jsonl line 215
  • Manuscript source: not matched

Lean / Formalization Notes

  • Formalization: formalized
  • Module: TauLib.BookIII.Doors.SpectralDecomp
  • Name: spectral_measure

Dependencies

  • Canonical: III.D81

Generated by later projection phases.

Generated by later projection phases.

Revision Notes

  • 2026-04-24: Initial pilot migration.

Identifiers

  • Corpus ID cid001527
  • Primary alias DEF0297
  • Type Definition
  • Status canonical
  • Visibility public
  • Version v1

Aliases & legacy IDs

III.D82spectral-measuredef:spectral-measure

Release lines

corpus_v3_workingcorpus_v2

Relations

Appears in (1)

Sources

  • Monograph cid000024Book III, Part 4, Chapter 30 (Wave M3)

Version & History

  • v1 · 2026-05-10 imported from v2 registry

Status disclaimer

A Corpus Item page reports the program's current internal record for this item. It does not imply external verification, scientific consensus, or final proof unless explicitly stated. Read it together with its dependencies, formalization status, and the program's overall stance.

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