Bernoulli can refer to:

People

Bernoulli family The Bernoulli family ( ; ; ) of Basel was a Patrician (post-Roman Europe), patrician family, notable for having produced eight mathematically gifted academics who, among them, contributed substantially to the development of mathematics and physic ...

of 17th and 18th century Swiss mathematicians: **

Daniel Bernoulli Daniel Bernoulli ( ; ; – 27 March 1782) was a Swiss people, Swiss-France, French mathematician and physicist and was one of the many prominent mathematicians in the Bernoulli family from Basel. He is particularly remembered for his applicati ...

(1700–1782), developer of

Bernoulli's principle Bernoulli's principle is a key concept in fluid dynamics that relates pressure, speed and height. For example, for a fluid flowing horizontally Bernoulli's principle states that an increase in the speed occurs simultaneously with a decrease i ...

Jacob Bernoulli Jacob Bernoulli (also known as James in English or Jacques in French; – 16 August 1705) was a Swiss mathematician. He sided with Gottfried Wilhelm Leibniz during the Leibniz–Newton calculus controversy and was an early proponent of Leibniz ...

(1654–1705), also known as Jacques, after whom Bernoulli numbers are named ** Jacob II Bernoulli (1759–1789) **

Johann Bernoulli Johann Bernoulli (also known as Jean in French or John in English; – 1 January 1748) was a Swiss people, Swiss mathematician and was one of the many prominent mathematicians in the Bernoulli family. He is known for his contributions to infin ...

(1667–1748) **

Johann II Bernoulli Johann II Bernoulli (also known as Jean; 18 May 1710, Basel – 17 July 1790, Basel) was the youngest of the three sons of the Swiss mathematician Johann Bernoulli. He studied law and mathematics, and, after travelling in France, was for five y ...

(1710–1790) **

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, was a Swiss mathematician, philosopher, astronomer and geographer, known around the ...

(1744–1807), also known as Jean, astronomer **

Nicolaus I Bernoulli Nicolaus Bernoulli (also spelled Nicolas or Nikolas; in Basel – 29 November 1759 in Basel) was a Swiss mathematician and was one of the many prominent mathematicians in the Bernoulli family. Biography Nicolaus Bernoulli was born on in Base ...

(1687–1759) **

Nicolaus II Bernoulli 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. He was one of the ...

(1695–1726) * Elisabeth Bernoulli (1873–1935), Swiss temperance campaigner *

Hans Benno Bernoulli Hans Benno Bernoulli (17 February 1876 – 12 September 1959) was a Swiss architect and city planner. Family Bernoulli was born in Basel, the son of Theodor Bernoulli, an office clerk. He was descended from the Bernoulli family of mathema ...

(1876–1959), Swiss architect *

Ludwig Bernoully Ludwig Bernoully (23 May 1873 – 13 January 1928) was a German architect. Most of his buildings were constructed in and around Frankfurt am Main, the city where he was born and where he died, suddenly. He was a scion of a distinguished family ...

(1873–1928), German architect

Mathematics

Bernoulli differential equation In mathematics, an ordinary differential equation is called a Bernoulli differential equation if it is of the form : y'+ P(x)y = Q(x)y^n, where n is a real number. Some authors allow any real n, whereas others require that n not be 0 or 1. The e ...

Bernoulli distribution In probability theory and statistics, the Bernoulli distribution, named after Swiss mathematician Jacob Bernoulli, is the discrete probability distribution of a random variable which takes the value 1 with probability p and the value 0 with pro ...

and Bernoulli random variable *

Bernoulli's inequality In mathematics, Bernoulli's inequality (named after Jacob Bernoulli) is an inequality that approximates exponentiations of 1+x. It is often employed in real analysis. It has several useful variants: Integer exponent * Case 1: (1 + x)^r \geq 1 ...

* Bernoulli's triangle *

Bernoulli number In mathematics, the Bernoulli numbers are a sequence of rational numbers which occur frequently in analysis. The Bernoulli numbers appear in (and can be defined by) the Taylor series expansions of the tangent and hyperbolic tangent function ...

Bernoulli polynomials In mathematics, the Bernoulli polynomials, named after Jacob Bernoulli, combine the Bernoulli numbers and binomial coefficients. They are used for series expansion of functions, and with the Euler–MacLaurin formula. These polynomials occur ...

Bernoulli process In probability and statistics, a Bernoulli process (named after Jacob Bernoulli) is a finite or infinite sequence of binary random variables, so it is a discrete-time stochastic process that takes only two values, canonically 0 and 1. The ...

Bernoulli trial In the theory of probability and statistics, a Bernoulli trial (or binomial trial) is a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is ...

Lemniscate of Bernoulli In geometry, the lemniscate of Bernoulli is a plane curve defined from two given points and , known as foci, at distance from each other as the locus of points so that . The curve has a shape similar to the numeral 8 and to the ∞ symbol. I ...

* ''Bernoulli'', a journal published by the

Bernoulli Society for Mathematical Statistics and Probability The Bernoulli Society is a professional association that aims to further the progress of probability and mathematical statistics, founded as part of the International Statistical Institute in 1975. It is named after the Bernoulli family of mathemat ...

Science

2034 Bernoulli 2034 Bernoulli (), provisional designation , is a stony asteroid from the inner regions of the asteroid belt, approximately 9 kilometers in diameter. The asteroid was discovered on 5 March 1973, by Swiss astronomer Paul Wild at Zimmerwald Obse ...

, minor planet *

, or Bernoulli effect in fluid dynamics *

Bernoulli (crater) Bernoulli is a lunar impact crater that is located in the northeast part of the Moon. It lies to the south of the crater Messala, and east of Geminus. It was named by the IAU in 1985. This formation is nearly circular with several slight out ...

, lunar crater *

Euler–Bernoulli beam theory Euler–Bernoulli beam theory (also known as engineer's beam theory or classical beam theory) is a simplification of the linear elasticity, linear theory of elasticity which provides a means of calculating the load-carrying and Deflection (engine ...

, model of a bending beam

Other

Bernoulli Box The Bernoulli Box (or simply Bernoulli, named after Bernoulli's principle) is a high-capacity (at the time of release) removable disk storage system that was Iomega's first widely known product. It was first released in 1982. Overview The orig ...

, a removable disk storage system based on the Bernoulli effect * Bernard Bernoulli, a character in the 1987 video game ''

Maniac Mansion ''Maniac Mansion'' is a 1987 graphic adventure video game developed and published by Lucasfilm Games. It follows teenage protagonist Dave Miller as he attempts to rescue his girlfriend Sandy Pantz from a mad scientist, whose mind has been ensl ...

'' *

Francesco Bernoulli ''Cars (franchise), Cars'' is a media franchise including the 2006 film ''Cars (film), Cars'', the 2011 film ''Cars 2'', the 2017 film ''Cars 3'', the 2022 series ''Cars on the Road'', the 2013 film ''Planes (film), Planes'', and the 2014 film ''P ...

, a character in the 2011 animated film ''Cars 2'' {{disambig, surname