example 20.8 A raindrop

open in the book · parts/03-classical-mechanics/03-exp-projectile-motion.tex:504 · p. 769

example -- no derivation owed by its kind

Rests on

depends_on proposition 20.7 Terminal speed and the approach to it ¶
- depends_on equation 20.10 eq:projectile-drag-eom ¶
- depends_on theorem 9.8 Picard–Lindelöf ¶
  - depends_on definition 9.4 Lipschitz condition ¶
  - depends_on equation 9.3 eq:slt-ode-system ¶
  - depends_on lemma 9.6 Weierstrass $M$-test; uniform limits are continuous ¶
    - depends_on definition 7.20 Continuity at a point ¶
      - depends_on definition 7.16 Limit ¶
      - depends_on equation 7.7 eq:ana-limit-left ¶
      - depends_on equation 7.5 eq:ana-limit-right ¶
    - depends_on proposition 7.47 Comparison; absolute convergence ¶
      - depends_on corollary A.46 Monotone convergence ¶
      - depends_on definition 7.45 Series ¶
      - depends_on theorem 7.8 Cauchy criterion ¶
      - proves proof ch:05-real-analysis@proof-28 ¶
    - proves proof ch:07-odes-sturm-liouville@proof-1 ¶
  - proves proof ch:07-odes-sturm-liouville@proof-2 ¶
- proves proof ch:03-exp-projectile-motion@proof-3 ¶

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type	direction	node	provenance	where
`depends_on`	→	Terminal speed and the approach to it	declared	parts/03-classical-mechanics/03-exp-projectile-motion.tex:520