proof ch:05-real-analysis@proof-22

open in the book · parts/02-mathematical-methods/05-real-analysis.tex:745

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proof : ch:05-real-analysis@proof-22prooftheorem 7.38: Taylor's theorem with Lagrange remainder7.38proposition 7.30: Leibniz rule7.30theorem 7.34: Rolle7.34definition 32.57: The Hénon–Heiles Hamiltonian32.57definition 32.12: Linearization32.12lemma A.754: Exact depth expansionA.754lemma A.187: ExponentiationA.187lemma A.138: The flat exponentialA.138lemma A.452: Young and HölderA.452lemma A.212: Second-order flatnessA.212lemma A.209: Uniform third-order remainderA.209phenomenon 28.13: Universality of small oscillations28.13proposition 16.50: The second variation16.50proposition 17.67: Holomorphy17.67proposition 9.88: The model problem, and the error of the composite9.88theorem 7.106: Taylor's theorem in several variables7.106theorem 17.20: Overshoot at a jump17.20

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