proposition A.87 The isothermal system

open in the book · appendices/A-long-proofs.tex:5406 · p. 2836

Rests on

depends_on equation 10.11 eq:pde-two-variable-matrix ¶
depends_on proposition A.86 The complex characteristic equation ¶
- depends_on equation 10.8 eq:pde-characteristic-condition ¶
- depends_on equation 10.12 eq:pde-two-variable-coefficients ¶
- proves proof app:A-long-proofs@proof-58 ¶
proves proof app:A-long-proofs@proof-59 ¶

Supports

depends_on proposition A.89 Beltrami form ¶
- depends_on lemma A.90 Affine normalization ¶
  - depends_on lemma A.91 Smallness after rescaling ¶

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:pde-two-variable-matrix	declared	appendices/A-long-proofs.tex:5424
`depends_on`	→	The complex characteristic equation	declared	appendices/A-long-proofs.tex:5424
`depends_on`	←	Beltrami form	declared	appendices/A-long-proofs.tex:5523
`proves`	←	app:A-long-proofs@proof-59	declared	appendices/A-long-proofs.tex:5428