The Bernoullis were a family of traders and scholars from Basel

Basel

Basel or Basle In the national languages of Switzerland the city is also known as Bâle , Basilea and Basilea is Switzerland's third most populous city with about 166,000 inhabitants. Located where the Swiss, French and German borders meet, Basel also has suburbs in France and Germany...

, Switzerland

Switzerland

Switzerland name of one of the Swiss cantons. ; ; ; or ), in its full name the Swiss Confederation , is a federal republic consisting of 26 cantons, with Bern as the seat of the federal authorities. The country is situated in Western Europe,Or Central Europe depending on the definition....

. The founder of the family, Leon Bernoulli, immigrated to Basel from Antwerp in Flanders

Flanders

Flanders is the community of the Flemings but also one of the institutions in Belgium, and a geographical region located in parts of present-day Belgium, France and the Netherlands. "Flanders" can also refer to the northern part of Belgium that contains Brussels, Bruges, Ghent and Antwerp...

 in the 16th century, fleeing Spanish oppression.

The Bernoulli family has produced many notable artists and scientists, in particular a number of famous mathematician

Mathematician

A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....

s in the 18th century:

• Jacob Bernoulli (1654–1705; also known as James or Jacques) Mathematician after whom Bernoulli numbers are named.
• Nicolaus Bernoulli (1662–1716) Painter and alderman of Basel.
• Johann Bernoulli
  Johann Bernoulli
  Johann Bernoulli was a Swiss mathematician and was one of the many prominent mathematicians in the Bernoulli family...
  
   (1667–1748; also known as Jean) Swiss mathematician and early adopter of infinitesimal calculus.
• Nicolaus I Bernoulli
  Nicolaus I Bernoulli
  Nicolaus Bernoulli , was a Swiss mathematician and was one of the many prominent mathematicians in the Bernoulli family....
  
   (1687–1759) Swiss mathematician.
• Nicolaus II Bernoulli
  Nicolaus II Bernoulli
  Nicolaus II Bernoulli, a.k.a. Niklaus Bernoulli, Nikolaus Bernoulli, was a Swiss mathematician and was one of the many prominent mathematicians in the Bernoulli family....
  
   (1695–1726) Swiss mathematician; worked on curves, differential equations, and probability.
• Daniel Bernoulli
  Daniel Bernoulli
  Daniel Bernoulli was a Dutch-Swiss mathematician and was one of the many prominent mathematicians in the Bernoulli family. He is particularly remembered for his applications of mathematics to mechanics, especially fluid mechanics, and for his pioneering work in probability and statistics...
  
   (1700–1782) Developer of Bernoulli's principle
  Bernoulli's principle
  In fluid dynamics, Bernoulli's principle states that for an inviscid flow, an increase in the speed of the fluid occurs simultaneously with a decrease in pressure or a decrease in the fluid's potential energy...
  
   and St. Petersburg paradox
  St. Petersburg paradox
  In economics, the St. Petersburg paradox is a paradox related to probability theory and decision theory. It is based on a particular lottery game that leads to a random variable with infinite expected value, i.e., infinite expected payoff, but would nevertheless be considered to be worth only a...
  
  .
• Johann II Bernoulli
  Johann II Bernoulli
  Johann II Bernoulli , the youngest of the three sons of Johann Bernoulli. He studied law and mathematics, and, after travelling in France, was for five years professor of eloquence in the university of his native city...
  
   (1710–1790; also known as Jean) Swiss mathematician and physicist.
• Johann III Bernoulli
  Johann III Bernoulli
  Johann III Bernoulli , grandson of Johann Bernoulli, and son of Johann II Bernoulli. He studied at Basel and at Neuchâtel, and when thirteen years of age took the degree of doctor in philosophy. At nineteen he was appointed astronomer royal of Berlin...
  
   (1744–1807; also known as Jean) Swiss-German astronomer, geographer, and mathematician.
• Jacob II Bernoulli (1759–1789; also known as Jacques) Swiss-Russian physicist and mathematician.

Devices and ideas named for members of the family

• Bernoulli differential equation
  Bernoulli differential equation
  In mathematics, an ordinary differential equation of the formis called a Bernoulli equation when n≠1, 0, which is named after Jakob Bernoulli, who discussed it in 1695...
  
  
• Bernoulli distribution
• Bernoulli number
  Bernoulli number
  In mathematics, the Bernoulli numbers Bn are a sequence of rational numbers with deep connections to number theory. They are closely related to the values of the Riemann zeta function at negative integers....
  
  

• Bernoulli polynomials
  Bernoulli polynomials
  In mathematics, the Bernoulli polynomials occur in the study of many special functions and in particular the Riemann zeta function and the Hurwitz zeta function. This is in large part because they are an Appell sequence, i.e. a Sheffer sequence for the ordinary derivative operator...
  
  
• Bernoulli process
  Bernoulli process
  In probability and statistics, a Bernoulli process 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 component Bernoulli variables Xi are identical and independent...
  
  
• Bernoulli trial
  Bernoulli trial
  In the theory of probability and statistics, a Bernoulli trial is an experiment whose outcome is random and can be either of two possible outcomes, "success" and "failure"....
  
  
• Bernoulli's principle
  Bernoulli's principle
  In fluid dynamics, Bernoulli's principle states that for an inviscid flow, an increase in the speed of the fluid occurs simultaneously with a decrease in pressure or a decrease in the fluid's potential energy...