• Thumbnail for Jacob Bernoulli
    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...
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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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  • 2024. Bernoulli differential equation Bernoulli distribution Bernoulli number Bernoulli polynomials Bernoulli process Bernoulli trial Bernoulli's principle...
    12 KB (810 words) - 19:52, 6 January 2025
  • Thumbnail for Brachistochrone curve
    Johann and his brother Jakob Bernoulli derived the same solution, but Johann's derivation was incorrect, and he tried to pass off Jakob's solution as his own...
    37 KB (6,090 words) - 21:52, 19 February 2025
  • Thumbnail for Lemniscate of Bernoulli
    curve of degree 4. This lemniscate was first described in 1694 by Jakob Bernoulli as a modification of an ellipse, which is the locus of points for which...
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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...
    93 KB (13,028 words) - 20:55, 12 March 2025
  • Thumbnail for Nicolaus I Bernoulli
    of Basel. In 1704 he graduated from the University of Basel under Jakob Bernoulli and obtained his PhD five years later (in 1709) with a work on probability...
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  • eventual development of Einstein's theory of special relativity. In 1682, Jakob Bernoulli formulated the theory that the hardness of the bodies depended on the...
    20 KB (2,399 words) - 08:16, 24 February 2025
  • 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...
    16 KB (1,474 words) - 00:39, 7 January 2025
  • 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 (3,965 words) - 21:35, 12 March 2025
  • Thumbnail for Eadem mutata resurgo
    again changed but the same". The phrase was first known to be used by Jakob Bernoulli (1654-1705), a member of the famous Swiss mathematical family. He had...
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  • Thumbnail for Johann II Bernoulli
    himself died in 1790. His two sons, Johann and Jakob, are the last noted mathematicians of the Bernoulli family. • Printed in 1752, in the Recueil des...
    2 KB (222 words) - 18:45, 2 September 2024
  • Thumbnail for Stochastic process
    probability Ars Conjectandi, originally published in Latin in 1713, Jakob Bernoulli used the phrase "Ars Conjectandi sive Stochastice", which has been...
    168 KB (18,658 words) - 12:29, 7 March 2025
  • Bernoulli family of Basel. Bernoulli differential equation Bernoulli distribution Bernoulli number Bernoulli polynomials Bernoulli process Bernoulli Society...
    2 KB (185 words) - 12:24, 25 April 2023
  • Thumbnail for Creutzfeldt–Jakob disease
    Creutzfeldt–Jakob disease (CJD), also known as subacute spongiform encephalopathy or neurocognitive disorder due to prion disease, is a fatal neurodegenerative...
    72 KB (7,740 words) - 06:29, 14 March 2025
  • things named in Jakob Bernoulli's honour: Bernoulli's formula Bernoulli differential equation Bernoulli's inequality Bernoulli numbers Bernoulli polynomials...
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  • Thumbnail for Basel
    The Bernoulli family, which included important 17th- and 18th-century mathematicians such as Jakob Bernoulli, Johann Bernoulli and Daniel Bernoulli, were...
    143 KB (14,185 words) - 22:02, 13 March 2025
  • Thumbnail for Guillaume de l'Hôpital
    his textbook, l'Hôpital generally acknowledged Leibniz, Jakob Bernoulli and Johann Bernoulli as the sources of the results in it. Solutio problematis...
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  • methods based on calculus. It immediately occupied the attention of Jakob Bernoulli but Leonhard Euler first elaborated the subject. His contributions...
    56 KB (6,801 words) - 04:30, 6 March 2025
  • that Jakob Bernoulli had written an unfinished work in probability. The work was intended to re-create the yet unpublished work of Jakob Bernoulli called...
    3 KB (364 words) - 18:37, 26 October 2024
  • Thumbnail for Daniel Bernoulli
    Daniel Bernoulli FRS (/bɜːrˈnuːli/ bur-NOO-lee; Swiss Standard German: [ˈdaːni̯eːl bɛrˈnʊli]; 8 February [O.S. 29 January] 1700 – 27 March 1782) was a...
    18 KB (1,580 words) - 04:51, 17 February 2025
  • probability Ars Conjectandi, originally published in Latin in 1713, Jakob Bernoulli used the phrase "Ars Conjectandi sive Stochastice", which has been...
    28 KB (3,323 words) - 05:19, 1 January 2025
  • Thumbnail for Elastica theory
    very large scale elastic deflections of structures. Euler (1744) and Jakob Bernoulli developed the theory for elastic lines (yielding the solution known...
    2 KB (237 words) - 04:22, 14 May 2023
  • Thumbnail for Mathematical induction
    infinite descent. The induction hypothesis was also employed by the Swiss Jakob Bernoulli, and from then on it became well known. The modern formal treatment...
    47 KB (6,911 words) - 20:17, 17 February 2025
  • Institute of Mathematical Sciences Itai Benjamini Jakob Bernoulli (1654–1705) - Switzerland, known for Bernoulli trials Joseph Louis François Bertrand (1822–1900)...
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  • Thumbnail for Simple suspension bridge
    Leibniz, Christiaan Huygens, and Johann Bernoulli who derived the equation in response to a challenge by Jakob Bernoulli. Their solutions were published in...
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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 Catenary
    Leibniz, Christiaan Huygens, and Johann Bernoulli derived the equation in response to a challenge by Jakob Bernoulli; their solutions were published in the...
    51 KB (6,958 words) - 07:27, 12 March 2025
  • Thumbnail for Jakob Hermann
    de Letterati d'Italia. 2: 447–467. Hermann, Jakob (1710). "Extrait d'une lettre de M. Herman à M. Bernoulli datée de Padoüe le 12. Juillet 1710". Histoire...
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  • Thumbnail for Probability
    (1657) gave the earliest known scientific treatment of the subject. Jakob Bernoulli's Ars Conjectandi (posthumous, 1713) and Abraham de Moivre's Doctrine...
    38 KB (5,110 words) - 20:23, 9 March 2025