Bernoulli can refer to:

People

Bernoulli family The Bernoulli family () 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. ...

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

Daniel Bernoulli Daniel Bernoulli FRS (; – 27 March 1782) was a Swiss mathematician and physicist and was one of the many prominent mathematicians in the Bernoulli family from Basel. He is particularly remembered for his applications of mathematics to mechan ...

(1700–1782), developer of

Bernoulli's principle In fluid dynamics, Bernoulli's principle states that an increase in the speed of a fluid occurs simultaneously with a decrease in static pressure or a decrease in the fluid's potential energy. The principle is named after the Swiss mathematici ...

Jacob Bernoulli 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 Le ...

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

Jacob II Bernoulli Jakob II Bernoulli (17 October 1759, in Basel – 3 July 1789, in Saint Petersburg), younger brother of Johann III Bernoulli, was a Swiss physicist. Biography Having finished his literary studies, he was, according to custom, sent to Neuchâtel t ...

(1759–1789) **

Johann Bernoulli Johann Bernoulli (also known as Jean or John; – 1 January 1748) was a Swiss mathematician and was one of the many prominent mathematicians in the Bernoulli family. He is known for his contributions to infinitesimal calculus and educating L ...

(1667–1748) **

Johann II Bernoulli Johann II Bernoulli (18 May 1710, in Basel – 17 July 1790, in Basel; also known as Jean) 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 fiv ...

(1710–1790) **

Johann III Bernoulli Johann III Bernoulli (also known as Jean; 4 November 1744, Basel – 13 July 1807, Berlin), grandson of Johann Bernoulli and son of Johann II Bernoulli, was known around the world as a child prodigy. Biography He studied at Basel and at Neu ...

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

Nicolaus I Bernoulli Nicolaus Bernoulli (also spelled Nicolas or Nikolas; 21 October 1687, Basel – 29 November 1759, Basel) was a Swiss people, Swiss mathematician and was one of the many prominent mathematicians in the Bernoulli family. Biography He was the son of ...

(1687–1759) **

Nicolaus II Bernoulli Nicolaus II Bernoulli, a.k.a. Niklaus Bernoulli, Nikolaus Bernoulli (6 February 1695, Basel, Old Swiss Confederacy, Switzerland – 31 July 1726, Saint Petersburg, St. Petersburg, Imperial Russia, Russia) was a Switzerland, Swiss mathematician as ...

(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 mathemat ...

(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,James Victor Uspensky: ''Introduction to Mathematical Probability'', McGraw-Hill, New York 1937, page 45 is the discrete probabil ...

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: * (1 + x)^r \geq 1 + r ...

Bernoulli's triangle Bernoulli's triangle is an array of partial sums of the binomial coefficients. For any non-negative integer ''n'' and for any integer ''k'' included between 0 and ''n'', the component in row ''n'' and column ''k'' is given by: : \sum_^k , i.e ...

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 functions, ...

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 in ...

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. Th ...

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 c ...

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 ...

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 Observ ...

, 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. This formation is nearly circular with several slight outward bulges around the perimeter. Th ...

, 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 theory of elasticity which provides a means of calculating the load-carrying and deflection characteristics of beams. ...

, model of a bending beam

Other

Bernoulli Box The Bernoulli Box (or simply Bernoulli, named after Daniel Bernoulli) is a high-capacity (for the time) removable floppy disk storage system that is Iomega's first widely known product. It was released in 1982. Overview The drive spins a PET fi ...

, 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 ensla ...

'' *

Francesco Bernoulli ''Cars'' is a media franchise including the 2006 film ''Cars'', the 2011 film ''Cars 2'', the 2017 film ''Cars 3'', the 2013 film '' Planes'' and the 2014 film '' Planes: Fire & Rescue''. Characters in the fictional universe include: Piston Cu ...

, a character in the 2011 animated film ''

Cars 2 ''Cars 2'' is a 2011 American computer-animated Spy film, spy comedy film produced by Pixar, Pixar Animation Studios for Walt Disney Pictures. It is the sequel to ''Cars (film), Cars'' (2006), the second film in the Cars (franchise), ''Cars'' f ...

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