what are some of his important works?
He wrote a number of papers and a book titled "Ars Conjectandi".
Jacob Bernoulli
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".
where is e used in the real world Apart from its presence in the alphabetic order, it is a mathematical constant approximately equal to 2.71828 how is it associated with trials of bernoulli? With regard to its application in probability theory, it is an example of a Bernoulli trial process. what is this constant otherwise known as? Euler's number what are its optimal planning problems? UNANSWERABLE what more can you tell me about the trial mentioned above? It is a theory of probability and statistics based on the binomial theory where a random experiment can only have two outcomes-success or failure, and the probability of success is the same every time the experiment is carried out. is it named after anyone? Yes, after a 17th century Swiss mathematician named Jacob Bernoulli.
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Jacob Bernoulli [SEP] Introduction
Jacob Bernoulli (also known as James or Jacques; – 16 August 1705) was one of the many prominent mathematicians in the Bernoulli family. He was an early proponent of Leibnizian calculus and sided with Gottfried Wilhelm 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. He also discovered the fundamental mathematical constant . 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".