X-Nico

7 unusual facts about Bernoulli


Christian Goldbach

Goldbach is most noted for his correspondence with Leibniz, Euler, and Bernoulli, especially in his 1742 letter to Euler stating his Goldbach's conjecture.

After finishing his studies he went on long educational voyages from 1710 to 1724 through Europe, visiting other German states, England, Holland, Italy, and France, meeting with many famous mathematicians, such as Gottfried Leibniz, Leonhard Euler, and Nicholas I Bernoulli.

Greatness

To prove this thesis Galton collected data showing that genius clusters in what he termed “Notable Family Lines”, such as those of Bernoulli, Cassini, Darwin, Herschel, and Jussieu in science, or Bach in music.

Position error

In consequence of Bernoulli's principle, the different speeds of the air result in different pressures at different positions on the aircraft's surface.

S-1 Gard

Because of Bernoulli's principle, a decrease in air pressure between a larger object (such as a transit bus or large truck) and a smaller object (such as a pedestrian or cyclist) is created when passing in close proximity, resulting in a force that pulls the smaller object towards the larger object.

Shabestan

The air flow across the vertical shaft opening creates a lower pressure (see Bernoulli effect) and pulls cool air up from the qanat tunnel below the house.

Time-inhomogeneous hidden Bernoulli model

Contrary to HMM, the state transition process in TI-HBM is not a Markov-dependent process, rather it is a generalized Bernoulli (an independent) process.


Brachistochrone curve

Johann Bernoulli posed the problem of the brachistochrone to the readers of Acta Eruditorum in June, 1696.

Eadem mutata resurgo

Bernoulli was referring to the continual appearance of the logarithmic spiral in nature, such as with the curves of the Nautilus shell.

Edward Condon

Condon said he replied: "I believe in Archimedes' Principle, formulated in the third century B.C. I believe in Kepler's laws of planetary motion, discovered in the seventeenth century. I believe in Newton's laws...." and continued with a catalog of scientists from earlier centuries, including the Bernoulli, Fourier, Ampère, Boltzmann, and Maxwell.

John Daugman

He held the Johann Bernoulli Chair of Mathematics and Informatics at the University of Groningen in the Netherlands, and the Toshiba Endowed Chair at the Tokyo Institute of Technology in Japan.

Le Her

Le Her played a role in the development of the mathematical theory of probability with solutions being sought by Bernoulli and de Montmort.

St. Petersburg paradox

Before Daniel Bernoulli published, in 1728, another Swiss mathematician, Gabriel Cramer, had already found parts of this idea (also motivated by the St. Petersburg Paradox) in stating that


see also