• 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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  • Niklaus Bernoulli [de] (Nicolaus, 1623–1708), Leon's great-great-grandson, married Margarethe Schönauer. Niklaus had four sons, of whom Johann and Hieronymus...
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  • 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...
    18 KB (1,583 words) - 14:06, 21 August 2024
  • 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...
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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...
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  • 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 Johann II Bernoulli
    Johann II Bernoulli (also known as Jean; 18 May 1710 in Basel – 17 July 1790 in Basel) was the youngest of the three sons of the Swiss mathematician Johann...
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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 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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  • Thumbnail for Jakob II Bernoulli
    Jakob II Bernoulli (17 October 1759 in Basel – 3 July 1789 in Saint Petersburg), younger brother of Johann III Bernoulli, was a Swiss physicist. Having...
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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 (12,938 words) - 18:33, 19 August 2024
  • 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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  • _{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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  • 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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  • 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...
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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...
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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 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 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 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...
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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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  • 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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  • 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 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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  • 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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  • {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...
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  • 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 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 Later life of Isaac Newton
    celebrated problems proposed by Johann Bernoulli and Leibniz deserves mention among his mathematical works. In June 1696 Bernoulli addressed a letter to the...
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