definition A.724 The staggered street

open in the book · appendices/A-long-proofs.tex:35072 · p. 3145

ground object -- no derivation owed

Rests on

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 ¶
      - depends_on definition 7.41 Antiderivative ¶
      - depends_on theorem 7.42 Fundamental theorem of calculus, I ¶
      - proves proof ch:05-real-analysis@proof-25 ¶
    - 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 equation 8.6 eq:cpx-contour-integral ¶ ↺
      - proves proof ch:06-complex-analysis@proof-4 ¶
    - depends_on theorem 8.16 Cauchy integral formula ¶
      - depends_on corollary 8.15 Deformation of contours ¶
      - depends_on lemma 8.11 The fundamental $2\pi\ii$ ¶
      - depends_on lemma 8.9 ML estimate ¶ ↺
      - proves proof ch:06-complex-analysis@proof-10 ¶
    - proves proof ch:06-complex-analysis@proof-11 ¶
  - proves proof ch:06-complex-analysis@proof-12 ¶
- proves proof app:A-long-proofs@proof-423 ¶

Supports

depends_on proposition A.725 The street translates rigidly ¶
depends_on theorem A.729 Kármán's spacing ratio ¶
- 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`	→	Potential of one infinite row	declared	appendices/A-long-proofs.tex:35084
`depends_on`	←	The street translates rigidly	declared	appendices/A-long-proofs.tex:35098
`depends_on`	←	Kármán's spacing ratio	declared	appendices/A-long-proofs.tex:35396