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Jacob Bernoulli Scientist

For other family members named Jacob, see Bernoulli family.Jacob Bernoulli (also known as James or Jacques; 6 January 1655 [O.S. 27 December 1654] – 16 August 1705) was one of the many prominent mathematicians in the Bernoulli family. He was an early proponent of Leibnizian calculus and had sided with Leibniz during the Leibniz–Newton calculus controversy. He is known for his numerous contributions to calculus, and along with his brother Johann, was one of the founders of the calculus of variations. 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.

Personal facts

Birth date	January 06, 1655
Birth place	Basel , Old Swiss Confederacy
Date of death	August 16, 1705
Place of death	Basel , Old Swiss Confederacy
Residence	Switzerland
Education	University of Basel
Known for	Bernoulli's inequality Bernoulli number Bernoulli scheme Faulhaber's formula Bernoulli sampling Law of large numbers Bernoulli process Bernoulli trial Bernoulli polynomials Lemniscate of Bernoulli Bernoulli distribution Transfer operator Dyadic transformation Bernoulli differential equation Time-inhomogeneous hidden Bernoulli model

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