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Family of Swiss mathematicians and scientists, including Jakob or Jacques (1654-1705), an important developer of ordinary calculus and the calculus of variations. His brother Johann or Jean (1667-1748) developed the calculus of variations. Johann's son Daniel (1700-1782) anticipated the law of conservation of energy, did pioneering work in the molecular theory of gases, and contributed to probability theory and the theory of differential equations.


(French bɛrnuji; German bɛrˈnʊli) or


1. (Biography) Daniel (danjɛl), son of Jean Bernoulli. 1700–82, Swiss mathematician and physicist, who developed an early form of the kinetic theory of gases and stated the principle of conservation of energy in fluid dynamics
2. (Biography) Jacques (ʒɑk) or Jakob (ˈjaːkɔp). 1654–1705, Swiss mathematician, noted for his work on calculus and the theory of probability
3. (Biography) his brother, Jean (ʒɑ̃) or Johann (joˈhan). 1667–1748, Swiss mathematician who developed the calculus of variations


or Ber•nouil•li

(bərˈnu li)

1. Daniel, 1700–82, Swiss physicist and mathematician born in the Netherlands (son of Johann Bernoulli).
2. Jakob or Jacques, 1654–1705, Swiss mathematician and physicist.
3. Johann or Jean (ʒɑ̃) 1667–1748, Swiss mathematician (brother of Jakob Bernoulli).
Ber•noul′li•an, adj.


Family of Swiss mathematicians. Jacques (or Jakob) (1654-1705) was a major developer of calculus and made an important contribution to probability theory. His brother Jean (or Johann) (1667-1748) also developed calculus and contributed to the study of complex numbers and trigonometry. Jean's son Daniel (1700-1782) was one of the first scientists to understand the concept of conservation of energy.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.Bernoulli - Swiss physicist who contributed to hydrodynamics and mathematical physics (1700-1782)
2.Bernoulli - Swiss mathematician (1667-1748)
3.Bernoulli - Swiss mathematician (1654-1705)
References in periodicals archive ?
For the second edition he has corrected errors; clarified some confusion; and added new problems on Bernoulli numbers, metric spaces, and differential equations.
In this informal learning environment there is no set curriculum, there is no instructor and the only change to the learning environment is the addition of AR to the Bernoulli Blower.
The "Flap" is generally used on descent, provides drag to reduce speed and per Bernoulli and/or Newton or some other dead scientist, converts energy into additional lift.
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For describing discrete random variables associated with experiments, an important notion is that of Bernoulli trials.
Many respiratory therapy students and practitioners alike have grappled over such fluid physics models as the law of continuity, Bernoulli principle, and Venturi effect.
Jacob Bernoulli, a 17th century mathematician, had a spiral engraved on his tombstone.
Chapter 21 of the 2009 ASHRAE Handbook--Fundamentals, shows how the Bernoulli equation is used to represent airflow through ducts in real systems.
Greater holding force, less weight: With the new Bernoulli vacuum cups, FIPA offers a solution for gentle handling of food and other delicate product.
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.
Appendices on relative entropy in Bernoulli distributions and relative entropy and ROC curves also are included, as are a glossary and references.
Euler's father wanted him to become a pastor, Bernoulli persuaded him that his son had the potential to be a great mathematician.