postulate A.795 Matching, quoted
open in the book ·
appendices/A-long-proofs.tex:38926
· p. 3185
- ground object -- no derivation owed
Rests on
- depends_on equation 31.32 eq:fluid-ns ¶
-
depends_on
theorem 9.72
Connection formulae
¶
-
depends_on
corollary 9.62
The semiclassical wave
¶
- depends_on equation 9.62 eq:slt-wkb-ansatz ¶
- depends_on equation 9.61 eq:slt-wkb-kappa ¶
-
depends_on
proposition 9.61
Eikonal and transport equations
¶
- depends_on equation 9.64 eq:slt-wkb-series ¶
-
depends_on
proposition 9.60
Exact Riccati form
¶
- depends_on equation 9.62 eq:slt-wkb-ansatz ¶ ↺
- depends_on equation 9.60 eq:slt-wkb-normal-form ¶
- proves proof ch:07-odes-sturm-liouville@proof-30 ¶
- proves proof ch:07-odes-sturm-liouville@proof-31 ¶
- proves proof ch:07-odes-sturm-liouville@proof-32 ¶
- depends_on equation 9.79 eq:slt-wkb-airy-ai ¶
- depends_on equation 9.80 eq:slt-wkb-airy-bi ¶
- depends_on equation 9.76 eq:slt-wkb-airy-equation ¶
- depends_on equation 9.74 eq:slt-wkb-airy-scale ¶
- proves proof ch:07-odes-sturm-liouville@proof-37 ¶
-
depends_on
corollary 9.62
The semiclassical wave
¶
Supports
- depends_on corollary A.799 The impressed pressure gradient ¶
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 |
→ | eq:fluid-ns | declared | appendices/A-long-proofs.tex:38939 |
depends_on |
→ | Connection formulae | declared | appendices/A-long-proofs.tex:38939 |
depends_on |
← | The impressed pressure gradient | declared | appendices/A-long-proofs.tex:39173 |