theorem A.729 Kármán's spacing ratio

open in the book · appendices/A-long-proofs.tex:35383 · p. 3148

Rests on

depends_on definition A.724 The staggered street ¶
- depends_on corollary A.723 Potential of one infinite row ¶
  - depends_on equation A.1173 eq:app-fluid-vortex-street-single ¶
  - depends_on theorem 8.18 Liouville ¶
    - depends_on proposition 8.10 Fundamental theorem for contours ¶
      - depends_on equation 8.6 eq:cpx-contour-integral ¶
      - depends_on theorem 7.43 Fundamental theorem of calculus, II ¶
      - proves proof ch:06-complex-analysis@proof-5 ¶
    - depends_on theorem 8.17 Derivatives of all orders; Cauchy estimates ¶
      - depends_on lemma 8.9 ML estimate ¶
      - depends_on theorem 8.16 Cauchy integral formula ¶
      - proves proof ch:06-complex-analysis@proof-11 ¶
    - proves proof ch:06-complex-analysis@proof-12 ¶
  - proves proof app:A-long-proofs@proof-423 ¶
depends_on proposition A.728 Criterion for neutrality ¶
- depends_on lemma A.727 Characteristic equation ¶
  - depends_on equation A.1190 eq:app-fluid-vortex-street-BC ¶
  - depends_on equation A.1191 eq:app-fluid-vortex-street-XYPi ¶
  - proves proof app:A-long-proofs@proof-425 ¶
- proves proof app:A-long-proofs@proof-426 ¶
proves proof app:A-long-proofs@proof-427 ¶

Supports

depends_on proposition A.730 The unstaggered street is always unstable ¶

Neighborhood

Every logical edge within two steps of this node.

declared and complete
partly declared
a check failed
not graded
declared in the source
inferred from structure

Edges

type	direction	node	provenance	where
`depends_on`	→	The staggered street	declared	appendices/A-long-proofs.tex:35396
`depends_on`	→	Criterion for neutrality	declared	appendices/A-long-proofs.tex:35396
`depends_on`	←	The unstaggered street is always unstable	declared	appendices/A-long-proofs.tex:35470
`proves`	←	app:A-long-proofs@proof-427	declared	appendices/A-long-proofs.tex:35400