bernoulli's theorem

bernoulli's theorem
noun
Usage: usually capitalized B
1. [after Jacques Bernoulli] : a basic principle of statistics: as the number of independent trials of an event of theoretical probability p is indefinitely increased, the observed ratio of actual occurrences of the event to total trials approaches p as a limit — called also law of averages
2. [after Daniel Bernoulli] : a law of hydrodynamics: in a stream of liquid the sum of the elevation head, the pressure head, and the velocity head remains constant along any line of flow provided no work is done by or upon the liquid in the course of its flow and decreases in proportion to the energy lost in viscous flow — see head 14b

* * *

1. Statistics. See law of averages (def. 1).
2. Hydrodynamics. an expression of the conservation of energy in streamline flow, stating that the sum of the ratio of the pressure to the mass density, the product of the gravitational constant and the vertical height, and the square of the velocity divided by 2 are constant.
[1920-25; (in def. 1) named after Jakob BERNOULLI; (in def. 2) named after Daniel BERNOULLI]

Useful english dictionary. 2012.

Игры ⚽ Нужно решить контрольную?

Look at other dictionaries:

  • Bernoulli's theorem — 1. Statistics. See law of averages (def. 1). 2. Hydrodynamics. an expression of the conservation of energy in streamline flow, stating that the sum of the ratio of the pressure to the mass density, the product of the gravitational constant and… …   Universalium

  • Bernoulli's theorem — Title used for the ‘law of large numbers’ in probability theory, proved by Jakob Bernoulli (1654–1705). The theorem provides the best known link between probability and the frequency of occurrence of events in a sequence of trials. It is thus… …   Philosophy dictionary

  • Bernoulli’s theorem — In a steady streamline flow of an ideal liquid, the sum of all energies present remains constant, provided no work is done by the airflow or on it. In other words, in a horizontal flow the sum of kinetic energy and pressure energy is constant or… …   Aviation dictionary

  • Bernoulli's theorem — Bernoul′li s the′orem n. sta • Etymology: 1920–25; after Jakob Bernoulli …   From formal English to slang

  • Bernoulli distribution theorem trial — Ber·noul·li distribution, theorem, trial (bər nooґle) (bār noo eґ) [Jakob Bernoulli, Swiss mathematician, 1654–1705] see under distribution, theorem, and trial …   Medical dictionary

  • bernoulli's Theorem — in stream of liquid, the sum of elevation head, pressure head, and velocity remains constant along any line of flow provided no work is done by or upon liquid on course of its flow; decreases in proportion to energy lost in flow …   Dictionary of automotive terms

  • Bernoulli's principle — n. 〚after BERNOULLI Daniel〛 the statement that an increase in the speed of a fluid produces a decrease in pressure and a decrease in the speed produces an increase in pressure * * * or Bernoulli s theorem Principle that relates pressure, velocity …   Universalium

  • Bernoulli's principle — This article is about Bernoulli s principle and Bernoulli s equation in fluid dynamics. For Bernoulli s Theorem (probability), see Law of large numbers. For an unrelated topic in ordinary differential equations, see Bernoulli differential… …   Wikipedia

  • theorem — theorematic /thee euhr euh mat ik, thear euh /, adj. theorematically, adv. /thee euhr euhm, thear euhm/, n. 1. Math. a theoretical proposition, statement, or formula embodying something to be proved from other propositions or formulas. 2. a rule… …   Universalium

  • Bernoulli, Daniel — ▪ Swiss mathematician born Feb. 8 [Jan. 29, Old Style], 1700, Groningen, Neth. died March 17, 1782, Basel, Switz.       the most distinguished of the second generation of the Bernoulli family of Swiss mathematicians. He investigated not only… …   Universalium

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”