Bernoullin.

/bəˈnuːli/

Etymology: < Bernoulli, the name of a Swiss family which in the 17th and 18th centuries contained several eminent mathematicians and scientists.

Applied to various principles, theorems, etc., formulated by members of the Bernoulli family (see quots.). Bernoulli's formula and Bernoulli's theorem in hydrodynamics were proposed by Daniel Bernoulli (1700–1782); Bernoulli's numbers and Bernoulli's theorem in statistics were proposed by Jacob (also known as James) Bernoulli (1654–1705).

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the world > relative properties > number > mathematics > [adjective] > characterized by theories of or approaches to

physico-mathematical1660

analytical1694

Bernoulli1749

analytic1761

Boolean1851

Sturmian1853

Bernoullian1876

Fermatian1887

Grassmannian1894

number-theoretic1899

Cantor1902

Cantorian1912

Tauberian1913

Thiessen1923

intuitionist1926

metamathematical1926

finitist1931

number-theoretical1936

finitistic1937

proof-theoretic1940

formalistic1941

Gödelian1942

constructivist1943

constructivistic1944

game-theoretical1946

game-theoretic1950

finitary1952

perturbation-theoretic1964

perturbation-theoretical1968

constructive1979

the world > relative properties > number > mathematics > [noun] > mathematical enquiry > proposition > theorem > specific theorem

pons asinorum1718

Fermat's theorem1845

Bernoulli's theorem1865

Fermat's last theorem1865

Fourier's theorem1880

remainder theorem1886

Stokes' theorem1893

Jordan('s) (curve) theorem1900

Waring's theorem1920

Gödel's theorem1933

maximin1953

incompleteness theorem1955

Schwarz inequality1955

1749 J. Stirling Differential Method 94 The first series is not extended to those cases in which the first ordinate touches the curve, nor does Bernoulli's series extend to those cases wherein the last ordinate touches the curve.

1842 A. De Morgan Differential & Integral Calculus xiii. 247 The values of U, U′, &c. are called the numbers of Bernoulli; and though they do not follow a visibly regular law, yet the connexion between them is simple.

1842 A. De Morgan Differential & Integral Calculus xiii. 248 The development of tan x by Bernoulli's numbers.

1865 I. Todhunter Math. Theory Probability vii. 71 In the fourth part of the Ars Conjectandi is the enunciation and investigation of what we now call Bernoulli's theorem.

1865 I. Todhunter Math. Theory Probability xi. 226 Let x denote the age expressed in years; let ξ denote the number who survive at that age out of a given number who were born; let s denote the number of these survivors who have not had the small-pox... Daniel Bernoulli's formula then gives the value of s.

1875 Encycl. Brit. I. 114/1 The basis of Bernouilli's [sic] Theory of Pipes.

1920 L. Bairstow Appl. Aerodynamics vi. 281 The simple form of Bernoulli's equation developed in the chapter on fluid motion may be applied separately to the two parts of streamlines which are separated by the actuator disc.

1922 R. Glazebrook Dict. Appl. Physics I. 26/2 Bernoulli's theorem. Along any stream line in a liquid subject only to gravity p + gρz + ½ρv² = constant, p being the pressure at a point at a depth z below the plane of reference, ρ the density, and v the velocity.

Derivatives

Berˈnoullian adj.

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