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  1. 4 days ago · Archimedes’ principle, physical law of buoyancy stating that any body submerged in fluid (gas or liquid) at rest is acted upon by an upward, or buoyant, force, the magnitude of which is equal to the weight of the fluid displaced by the body. Learn more in this article.

    • Displacement

      Displacement, in mechanics, distance moved by a particle or...

    • Fluid Mechanics

      fluid mechanics, science concerned with the response of...

    • Students

      The same safe and trusted content for explorers of all ages....

    • Specific Gravity

      specific gravity, ratio of the density of a substance to...

  2. 5 days ago · Daniel Bernoulli (1700--1782) is generally credited with being the first to introduce the concept of Bessels functions in 1732 (Saint Petersburg). He used the function of zero order J 0 ( x ) as a solution to the problem of an oscillating chain suspended at one end.

  3. 3 days ago · Example 3: The following problem was solved by Daniel Bernoulli (1700–1782) in 1732 and involved the first use of a Bessel function. Small transverse displacements from equilibrium were assumed. The problem was discussed further by Leonhard Euler in 1781.

  4. 1 day ago · He also constructed interpolation, introduced the Seki-Bernoulli number independent of the Bernoulli number (Daniel Bernoulli, 1700–82) to find the sum of powers formula, completed a general method for solving simultaneous congruence equations in number theory, and invented the acceleration method equivalent to today’s Aitken’s delta ...

  5. 2 days ago · L'Hôpital's rule (/ ˌ l oʊ p iː ˈ t ɑː l /, loh-pee-TAHL) or L'Hospital's rule, also known as Bernoulli's rule, is a mathematical theorem that allows evaluating limits of indeterminate forms using derivatives. Application (or repeated application) of the rule often converts an indeterminate form to an expression that can be easily ...

  6. 5 days ago · The ideal gas law is easily extended to mixtures by letting n represent the total number of moles of all species present in volume V. That is, if there are n1 moles of species 1, n2 moles of species 2, etc., in the mixture, then n = n1 + n2 + · · · and v = V / n as before.

  7. 5 days ago · TOPICS. Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics Foundations of Mathematics Geometry History and Terminology Number Theory Probability and Statistics Recreational Mathematics Topology Alphabetical Index New in MathWorld