equation 7.131 eq:ana-nabla-sph-grad

open in the book · parts/02-mathematical-methods/05-real-analysis.tex:3921

Rests on

No declared or derived dependency edges point away from this node yet.

depends_on definition A.715 Stokes stream function ¶
- depends_on lemma A.716 The creeping-flow equation for $\psi$ ¶
  - depends_on lemma A.717 The radial solution ¶
    - depends_on theorem A.718 Stokes' drag law with its coefficient ¶
depends_on example 7.130 The two Jacobians this treatise uses ¶
- depends_on lemma A.518 The excised ball ¶
  - depends_on proposition A.521 Every derivative passes onto $g$ ¶
    - depends_on proposition A.524 Rate of decay ¶
    - depends_on proposition A.522 The Newtonian potential inverts the Laplacian ¶
      - depends_on theorem A.523 Helmholtz decomposition: existence ¶
  - depends_on proposition A.519 The convolution exists ¶
    - depends_on proposition A.524 Rate of decay ¶ ↺

Every logical edge within two steps of this node.

type	direction	node	provenance	where
`depends_on`	←	Stokes stream function	declared	appendices/A-long-proofs.tex:34611
`depends_on`	←	The two Jacobians this treatise uses	declared	parts/02-mathematical-methods/05-real-analysis.tex:4322