remark A.768 Two conventions for the wavenumber

open in the book · appendices/A-long-proofs.tex:37427 · p. 3169

remark -- no derivation owed by its kind

Rests on

depends_on equation 31.68 eq:fluid-racrit ¶
depends_on theorem A.767 Marginal stability of the conducting state ¶
- depends_on phenomenon 31.78 Convective onset at a computed threshold ¶
  - depends_on definition 31.51 The other similarity groups ¶
    - depends_on phenomenon 31.49 Dynamical similarity ¶
      - depends_on theorem 31.37 The Navier–Stokes equations ¶
      - proves proof ch:14-fluid-dynamics@proof-24 ¶
    - depends_on theorem D.2 Buckingham's $\Pi$ theorem ¶
      - depends_on equation D.3 eq:E-kernel-condition ¶
      - proves proof app:E-dimensionless@proof-1 ¶
  - depends_on theorem 31.37 The Navier–Stokes equations ¶ ↺
  - proves proof ch:14-fluid-dynamics@proof-39 ¶
- depends_on proposition A.766 Nondimensionalisation ¶
  - depends_on definition 31.51 The other similarity groups ¶ ↺
  - depends_on proposition A.765 The roll equations ¶
    - depends_on definition A.763 Two-dimensional rolls ¶
      - depends_on equation 31.11 eq:fluid-incompressible ¶
      - depends_on proposition A.761 The Boussinesq equations ¶
    - depends_on proposition A.761 The Boussinesq equations ¶ ↺
    - proves proof app:A-long-proofs@proof-444 ¶
  - proves proof app:A-long-proofs@proof-445 ¶
- proves proof app:A-long-proofs@proof-446 ¶

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type	direction	node	provenance	where
`depends_on`	→	eq:fluid-racrit	declared	appendices/A-long-proofs.tex:37442
`depends_on`	→	Marginal stability of the conducting state	declared	appendices/A-long-proofs.tex:37442