proposition A.725 The street translates rigidly
open in the book ·
appendices/A-long-proofs.tex:35087
· p. 3145
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 ¶
-
depends_on
lemma 8.9
ML estimate
¶
- proves proof ch:06-complex-analysis@proof-12 ¶
-
depends_on
proposition 8.10
Fundamental theorem for contours
¶
- proves proof app:A-long-proofs@proof-423 ¶
-
depends_on
definition A.724
The staggered street
¶
- depends_on corollary A.723 Potential of one infinite row ¶ ↺
- proves proof app:A-long-proofs@proof-424 ¶
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Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
→ | Potential of one infinite row | declared | appendices/A-long-proofs.tex:35098 |
depends_on |
→ | The staggered street | declared | appendices/A-long-proofs.tex:35098 |
proves |
← | app:A-long-proofs@proof-424 | declared | appendices/A-long-proofs.tex:35101 |