equation 16.45 eq:calcvar-second-variation

open in the book · parts/02-mathematical-methods/14-calculus-of-variations.tex:1481

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depends_on definition 16.53 Jacobi accessory equation; conjugate point ¶
- depends_on proposition 23.53 A caustic point is a conjugate point ¶
- depends_on theorem A.436 Strengthened Jacobi condition and conjugate points ¶
  - depends_on corollary A.445 Displacing the initial point ¶
- depends_on theorem 16.55 Jacobi's necessary condition ¶
  - depends_on proposition 23.53 A caustic point is a conjugate point ¶ ↺
  - depends_on remark 30.54 Other end conditions, and what buckling is variationally ¶
depends_on theorem 16.56 Sufficiency of the second variation ¶
- depends_on corollary 16.65 Sufficiency for a weak minimum ¶
depends_on theorem 16.51 Legendre's necessary condition ¶
- depends_on corollary 16.65 Sufficiency for a weak minimum ¶ ↺
- depends_on theorem 16.55 Jacobi's necessary condition ¶ ↺

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Edges

type	direction	node	provenance	where
`depends_on`	←	Jacobi accessory equation; conjugate point	declared	parts/02-mathematical-methods/14-calculus-of-variations.tex:1600
`depends_on`	←	Sufficiency of the second variation	declared	parts/02-mathematical-methods/14-calculus-of-variations.tex:1670
`depends_on`	←	Legendre's necessary condition	declared	parts/02-mathematical-methods/14-calculus-of-variations.tex:1528