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Euler 1748 — Introductio in analysin infinitorum (E101-E102)
chain
L. Euler (1748). Introductio in analysin infinitorum (E101-E102). Lausanne, 1748. Canonical: https://scholarlycommons.pacific.edu/euler-works/101/. Free copy: https://scholarlycommons.pacific.edu/euler-works/101/. License as found: public domain (the author died more than a century ago, or the work was published before 1930). What it gave the chain: e, and the exponential and the logarithm as inverse functions: the table-logarithm of Napier and the hyperbola-logarithm of Saint-Vincent are one function.
source
card id
card_chain_euler_1748
address
WIT.codex.FCT/introductio-in-analysin-infinitorum-e101-e102/REF.WITNESSED@l-euler
adjoining cards
- builds on → Briggs 1624 — Arithmetica logarithmica — e, and the exponential and the logarithm as inverse functions: the table-logarithm of Napi
- builds on → Mercator 1668 — Logarithmotechnia — e, and the exponential and the logarithm as inverse functions: the table-logarithm of Napi
- enables → Boltzmann 1877 — Über die Beziehung zwischen dem zweiten Hauptsatze der mechanischen Wärmetheorie und der Wahrscheinlichkeitsrechnung — entropy as the logarithm of the number of microstates, S = k log W
- enables → Gell-Mann 1954 — Quantum electrodynamics at small distances — the renormalization group: a coupling that runs with the logarithm of the scale
- enables → Kármán 1930 — Mechanische Ähnlichkeit und Turbulenz — the law of the wall: the turbulent velocity profile is logarithmic in the distance from th
- enables → Deligne 1971 — Théorie de Hodge, II — mixed Hodge structures on the complement of a divisor, built on forms with logarithmic pol
- enables → Weil 1929 — L'arithmétique sur les courbes algébriques — Mordell's theorem for every abelian variety, by heights - the logarithm of the size of a p
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