remark 30.5 Where the hypothesis fails, and how one can tell

open in the book · parts/03-classical-mechanics/13-continuum-elasticity.tex:143 · p. 1008

remark -- no derivation owed by its kind

Rests on

depends_on definition 30.2 Representative volume element; continuum field ¶
- depends_on definition 7.97 Partial derivative; gradient ¶
  - depends_on definition 7.26 Derivative of a function at a point ¶
    - depends_on definition 7.16 Limit ¶
      - depends_on definition 7.2 Absolute value ¶
      - depends_on definition 7.9 Real function ¶
    - depends_on definition 7.9 Real function ¶ ↺
  - depends_on definition 5.15 Basis ¶
    - depends_on definition 5.12 Subspace generated by a set of vectors ¶
      - depends_on definition 5.5 Linear combination ¶
      - depends_on definition 5.7 Vector subspace ¶
      - proves proof ch:03-linear-algebra-representations@proof-3 ¶
    - depends_on definition 5.14 Linear independence ¶
      - depends_on definition 5.5 Linear combination ¶ ↺
depends_on equation 30.1 eq:elast-scale-separation ¶

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type	direction	node	provenance	where
`depends_on`	→	Representative volume element; continuum field	declared	parts/03-classical-mechanics/13-continuum-elasticity.tex:174
`depends_on`	→	eq:elast-scale-separation	declared	parts/03-classical-mechanics/13-continuum-elasticity.tex:174