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Jacob Bernoulli

File:Jakob_Bernoulli.jpg · Wikimedia Commons · See Wikimedia Commons

EntityQ122392· pop 78· linked from 244 articles

Jacob Bernoulli

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Also known as James Bernoulli

Swiss mathematician (1655-1705)

OverviewAI-generated

Jacob Bernoulli, also known as Jakob Bernoulli, was a person born in 1654 and died in 1705. His literary output includes works such as *Die Streitschriften von Jacob und Johann Bernoulli*, *Werke*, *Iacobi Bernoulli Conamen novi systematis cometarum*, *Positiones mathematicae de rationibvs et proportionibvs*, and *Translations from James Bernoulli*. The Open Library lists 40 works associated with him, while Crossref records five.

His epigraph, "Eadem mutata resurgo," translates to "Changed and yet the same, I rise again." Bernoulli is referenced by 244 other encyclopedia articles.

Synthesized by Vinony from 12 facts across 6 sources: Wikidata, Crossref, Wikiquote, MusicBrainz, Open Library, Vinony graph. Generated from structured data (not the Wikipedia text) and checked against those facts — may still contain errors.

Person · Open Library

Born
1654
Died
1705
Works
40

Top works

  • Die Streitschriften von Jacob und Johann Bernoulli
  • Jacobi Bernoulli Profess. Basil. & utriusque Societ. Reg. Scientiar. Gall. & Pruss. Sodal. mathematici celeberrimi, Ars conjectandi
  • Werke
  • Iacobi Bernoulli Conamen novi systematis cometarum
  • Positiones mathematicae de rationibvs et proportionibvs

via Open Library + Wikidata

Music · MusicBrainz

Type
Person

via MusicBrainz · CC0

Recent publications · Crossref

5 total works indexed

  1. A power primer.

    · 1992 · cited 41,582x

  2. SciPy 1.0: fundamental algorithms for scientific computing in Python

    · 2020 · cited 36,562x

  3. A Coefficient of Agreement for Nominal Scales

    · 1960 · cited 31,970x

  4. A global reference for human genetic variation

    · 2015 · cited 17,797x

  5. Statistical Power Analysis for the Behavioral Sciences

    · 2013 · cited 17,001x

via Crossref · CC0

Quotes

  • “[P]robability as a measurable degree of certainty; necessity and chance; moral versus mathematical expectation; a priori an a posteriori probability; expectation of winning when players are divided according to dexterity; regard of all available arguments, their valuation, and their calculable evaluation; law of large numbers...”
  • “The art of measuring, as precisely as possible, probabilities of things, with the goal that we would be able always to choose or follow in our judgments and actions that course, which will have been determined to be better, more satisfactory, safer or more advantageous.”
  • “Eadem mutata resurgo [Changed and yet the same, I rise again]”
  • “[H]e was soon seconded by two illustrious men, who adopted his method with such ardour, rendered it so completely their own, and made so many elegant applications of it that Leibnitz several times published in the journals, with a disinterestedness worthy of so great a man, that it was as much indebted to them as to himself. ...I am speaking of the two brothers James and John Bernoulli.”

via Wikiquote · CC BY-SA

~11 min read

Encyclopedic overview

Jacob Bernoulli (also known as James in English or Jacques in French; 6 January 1655 [O.S. 27 December 1654] – 16 August 1705) was a Swiss mathematician. He sided with Gottfried Wilhelm Leibniz during the Leibniz–Newton calculus controversy and was an early proponent of Leibnizian calculus, to which he made numerous contributions. A member of the Bernoulli family, he, along with his brother Johann, was one of the founders of the calculus of variations. He also discovered the fundamental mathematical constant e. However, his most important contribution was in the field of probability, where he derived the first version of the law of large numbers in his work Ars Conjectandi.

Biography

Excerpted from Wikipedia’s “Jacob Bernoulli” article, available under the CC BY-SA 4.0 licence.

Gallery (6)

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via Wikidata sitelinks · CC0