Search results
Results from the WOW.Com Content Network
Nicolaus Bernoulli was born on 20 October [O.S. 10 October] 1687 in Basel. [1]He was the son of Nicolaus Bernoulli, painter and Alderman 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 theory in law.
It is named after Jacob Bernoulli, a 17th-century Swiss mathematician, who analyzed them in his Ars Conjectandi (1713). [2] The mathematical formalization and advanced formulation of the Bernoulli trial is known as the Bernoulli process. Since a Bernoulli trial has only two possible outcomes, it can be framed as a "yes or no" question. For example:
Nicolaus II Bernoulli, portrait by Johann Rudolf Huber (1723).. Nicolaus II Bernoulli (also spelled as Niklaus or Nikolaus; 6 February 1695 in Basel – 31 July 1726 in Saint Petersburg) was a Swiss mathematician as were his father Johann Bernoulli and one of his brothers, Daniel Bernoulli.
It's time for another fun science experiment at Clark Planetarium. This time we're levitating. Learn what Bernoulli's Principle is with this fun experiment [Video]
The Bernoulli family (/ b ɜːr ˈ n uː l i / bur-NOO-lee; German: [bɛʁˈnʊli]; [a] Swiss Standard German: [bɛrˈnʊli]) of Basel was a patrician family, notable for having produced eight mathematically gifted academics who, among them, contributed substantially to the development of mathematics and physics during the early modern period.
The component Bernoulli variables X i are identically distributed and independent. Prosaically, a Bernoulli process is a repeated coin flipping, possibly with an unfair coin (but with consistent unfairness). Every variable X i in the sequence is associated with a Bernoulli trial or experiment. They all have the same Bernoulli distribution.
The cover page of Ars Conjectandi. Ars Conjectandi (Latin for "The Art of Conjecturing") is a book on combinatorics and mathematical probability written by Jacob Bernoulli and published in 1713, eight years after his death, by his nephew, Niklaus Bernoulli.
Nicolaus Bernoulli described the St. Petersburg paradox (involving infinite expected values) in 1713, prompting two Swiss mathematicians to develop expected utility theory as a solution. Bernoulli's paper was the first formalization of marginal utility, which has broad application in economics in addition to expected utility theory. He used ...