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3 days ago · 4.3.2 Daniel Bernoulli’s version of the paradox. Daniel Bernoulli mentions the correspondence with Nicolaus II and presents the problem in these terms: “Peter tosses a coin and continues to do so until it should land ‘heads’ when it comes to the ground.
1 day ago · Page ID. Bernoulli's equation was developed by 18th-century Swiss physicist Daniel Bernoulli. Given fluid flow in a pipe that varies in elevation, the equation relates the velocity, pressure, and elevation as the fluid flows through the pipe. It states. P ρg + v2 2g + y = constant, (52.3.1) (52.3.1) P ρ g + v 2 2 g + y = constant,
4 days ago · A fundamental result in analytical mechanics is D'Alembert's principle, introduced in 1708 by Jacques Bernoulli to understand static equilibrium, and developed by D'Alembert in 1743 to solve dynamical problems.
4 days ago · A Bernoulli differential equation is an equation of the form \( y' + a(x)\,y = g(x)\,y^{\nu} , \) where a(x) are g(x) are given functions, and the constant ν is assumed to be any real number other than 0 or 1. Bernoulli equations have no singular solutions.
2 days ago · Bernoulli's formula for sums of powers is the most useful and generalizable formulation to date. The coefficients in Bernoulli's formula are now called Bernoulli numbers, following a suggestion of Abraham de Moivre.
4 days ago · Uranus is the seventh planet from the Sun. It is a gaseous cyan -coloured ice giant. Most of the planet is made of water, ammonia, and methane in a supercritical phase of matter, which astronomy calls "ice" or volatiles. The planet's atmosphere has a complex layered cloud structure and has the lowest minimum temperature (49 K (−224 °C; − ...
2 days ago · Nikolaus Bernoulli hatte 1713 das nachgelassene Manuskript Ars conjectandi über Wahrscheinlichkeitsrechnung seines Onkels Jakob Bernoulli herausgegeben und darüber auch einen Briefwechsel mit Montmort geführt, dem Verfasser des ersten (auf Jakob Bernoulli beruhenden) Lehrbuchs der Wahrscheinlichkeitsrechnung, in dessen zweiter Auflage 1713 ...
