definition A.116 Orthogonal curvilinear coordinates; scale factors

open in the book · appendices/A-long-proofs.tex:6694 · p. 2850

Rests on

depends_on definition A.125 Ellipsoidal coordinates ¶
- depends_on lemma A.126 Cartesian coordinates and scale factors ¶
  - depends_on proposition A.128 The ellipsoidal system separates ¶
    - depends_on proposition A.132 The count ¶
depends_on definition A.118 Simple separation of the Helmholtz equation ¶
- depends_on theorem A.120 Stäckel and Robertson conditions ¶
  - depends_on example A.122 Cartesian ¶
  - depends_on example A.123 Circular cylindrical ¶
  - depends_on example A.124 Spherical ¶
  - depends_on proposition A.128 The ellipsoidal system separates ¶ ↺
depends_on lemma A.117 Laplacian in orthogonal coordinates ¶
- depends_on theorem A.120 Stäckel and Robertson conditions ¶ ↺

Every logical edge within two steps of this node.

type	direction	node	provenance	where
`depends_on`	→	Functions of class $C^{1}$	declared	appendices/A-long-proofs.tex:6707
`depends_on`	→	eq:pde-helmholtz-equation	declared	appendices/A-long-proofs.tex:6707
`depends_on`	←	Ellipsoidal coordinates	declared	appendices/A-long-proofs.tex:7094
`depends_on`	←	Simple separation of the Helmholtz equation	declared	appendices/A-long-proofs.tex:6781
`depends_on`	←	Laplacian in orthogonal coordinates	declared	appendices/A-long-proofs.tex:6719