• Thumbnail for Johann Bernoulli
    Johann Bernoulli (also known as Jean in French or John in English; 6 August [O.S. 27 July] 1667 – 1 January 1748) was a Swiss mathematician and was one...
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  • Bernoulli [de] (Nicolaus, 1623–1708), Leon's great-great-grandson, married Margarethe Schönauer. Margarethe and Niklaus had four sons, of whom Johann...
    12 KB (810 words) - 18:55, 11 September 2024
  • Thumbnail for Johann III Bernoulli
    Johann III Bernoulli (also known as Jean; 4 November 1744 in Basel – 13 July 1807 in Berlin), grandson of Johann Bernoulli and son of Johann II Bernoulli...
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  • Thumbnail for Brachistochrone curve
    circular arc. Johann Bernoulli posed the problem of the brachistochrone to the readers of Acta Eruditorum in June, 1696. He said: I, Johann Bernoulli, address...
    37 KB (6,021 words) - 09:33, 2 November 2024
  • Thumbnail for Johann II Bernoulli
    Johann II Bernoulli (also known as Jean; 18 May 1710, Basel – 17 July 1790, Basel) was the youngest of the three sons of the Swiss mathematician Johann...
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  • Thumbnail for Jacob Bernoulli
    completely broken down. The lunar crater Bernoulli is also named after him jointly with his brother Johann. Jacob Bernoulli's first important contributions were...
    19 KB (2,183 words) - 20:47, 17 October 2024
  • Thumbnail for Daniel Bernoulli
    Switzerland. Daniel was the son of Johann Bernoulli (one of the early developers of calculus) and a nephew of Jacob Bernoulli (an early researcher in probability...
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  • Thumbnail for Nicolaus I Bernoulli
    mathematicians in the Bernoulli family. Nicolaus Bernoulli was born on 20 October [O.S. 10 October] 1687 in Basel. He was the son of Nicolaus Bernoulli, painter and...
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  • Thumbnail for Jakob II Bernoulli
    Jakob II Bernoulli (17 October 1759, Basel – 3 July 1789, Saint Petersburg), younger brother of Johann III Bernoulli, was a Swiss physicist. Having finished...
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  • Thumbnail for Nicolaus II Bernoulli
    were his father Johann Bernoulli and one of his brothers, Daniel Bernoulli. He was one of the many prominent mathematicians in the Bernoulli family. Nicolaus...
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  • Bernoulli (1667–1748) Johann II Bernoulli (1710–1790) Johann III Bernoulli (1744–1807), also known as Jean, astronomer Nicolaus I Bernoulli (1687–1759) Nicolaus...
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  • In mathematics, the Bernoulli numbers Bn are a sequence of rational numbers which occur frequently in analysis. The Bernoulli numbers appear in (and can...
    92 KB (12,957 words) - 19:16, 19 October 2024
  • Elisabeth Bernoulli (9 December 1873 – 22 February 1935) was a Swiss campaigner against alcoholism. Bernoulli was born in Basel, Switzerland, the daughter...
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  • _{n=1}^{\infty }(-n)^{-n}\end{alignedat}}} discovered in 1697 by Johann Bernoulli. The numerical values of these constants are approximately 1.291285997...
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  • Heinrich Bullinger Johann Bernhard Fischer von Erlach (1656–1723), Austrian architect Johann Bernoulli (1667–1748), Swiss mathematician Johann Carl Fuhlrott...
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  • Thumbnail for Johann Rudolf Huber
    Württemberg, 1700 Johann Rudolf Rudolf Carl Friedrich Drollinger Daniel Bernoulli self-portrait Wikimedia Commons has media related to Johann Rudolf Huber...
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  • Thumbnail for Leonhard Euler
    mathematics was given by Johann Bernoulli, the younger brother of the deceased Jacob Bernoulli (who had taught Euler's father). Johann Bernoulli and Euler soon...
    103 KB (10,352 words) - 06:14, 6 November 2024
  • Thumbnail for Analyse des Infiniment Petits pour l'Intelligence des Lignes Courbes
    rule. The rule is believed to be the work of Johann Bernoulli, since l'Hôpital, a nobleman, paid Bernoulli a retainer of 300₣ per year to keep him updated...
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  • Thumbnail for Ars Conjectandi
    probability written by Jacob Bernoulli and published in 1713, eight years after his death, by his nephew, Niklaus Bernoulli. The seminal work consolidated...
    31 KB (3,967 words) - 18:40, 26 October 2024
  • Thumbnail for Euler's formula
    work Introductio in analysin infinitorum. Johann Bernoulli had found that 1 1 + x 2 = 1 2 ( 1 1 − i x + 1 1 + i x ) . {\displaystyle {\frac {1}{1+x^{2}}}={\frac...
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  • immediately reported it to the sçavans, ... " The Swiss mathematician Johann Bernoulli studied the phenomenon while teaching at Groningen, the Netherlands...
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  • Thumbnail for Johann Bessler
    natural philosophers of the day, including Gottfried Wilhelm Leibniz, Johann Bernoulli, John Theophilus Desaguliers, and Willem 's Gravesande. The modern...
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  • {p+1}{r}}} is the binomial coefficient "p + 1 choose r", and the Bj are the Bernoulli numbers with the convention that B 1 = + 1 2 {\textstyle B_{1}=+{\frac...
    33 KB (7,943 words) - 07:06, 2 November 2024
  • Thumbnail for Proof that e is irrational
    introduced by Jacob Bernoulli in 1683. More than half a century later, Euler, who had been a student of Jacob's younger brother Johann, proved that e is...
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  • Thumbnail for Hermann Hesse
    realised he could make a living as a writer, Hesse finally married Maria Bernoulli (of the famous family of mathematicians) in 1904, while her father, who...
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  • Thumbnail for L'Hôpital's rule
    mathematician Johann Bernoulli. L'Hôpital's rule states that for functions f and g which are defined on an open interval I and differentiable on I ∖ { c } {\textstyle...
    36 KB (7,123 words) - 06:41, 7 November 2024
  • Thumbnail for Hans Benno Bernoulli
    Benno Bernoulli (17 February 1876 – 12 September 1959) was a Swiss architect and city planner. Bernoulli was born in Basel, the son of Theodor Bernoulli, an...
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  • Thumbnail for Elements of Algebra
    Indeterminate Quantities), Lagrange's Additions, and footnotes by Johann Bernoulli and others. Introductio in analysin infinitorum (1748) Institutiones...
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  • Thumbnail for Van Musschenbroek vacuum pump
    Gerhardt, K. I.; Leibniz, G. W. (1856). "Letter: Bernoulli to Leibniz (8/10-1698)". Leibnizens mathematische Schriften. p. 684. Bernoulli, Johann. (1719)....
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  • Thumbnail for Euler's identity
    Euler's identity (redirect from E^i*pi=-1)
    seen how it [Euler's identity] can easily be deduced from results of Johann Bernoulli and Roger Cotes, but that neither of them seem to have done so. Even...
    15 KB (1,962 words) - 18:01, 17 October 2024