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17 de abr. de 2024 · Daniel Bernoulli was the most distinguished of the second generation of the Bernoulli family of Swiss mathematicians. He investigated not only mathematics but also such fields as medicine, biology, physiology, mechanics, physics, astronomy, and oceanography.
- The Editors of Encyclopaedia Britannica
17 de abr. de 2024 · Jakob Bernoulli (born January 6, 1655 [December 27, 1654, Old Style], Basel, Switzerland—died August 16, 1705, Basel) was the first of the Bernoulli family of Swiss mathematicians. He introduced the first principles of the calculus of variation. Bernoulli numbers, a concept that he developed, were named for him.
- The Editors of Encyclopaedia Britannica
17 de abr. de 2024 · Johann Bernoulli (born August 6 [July 27, Old Style], 1667, Basel, Switzerland—died January 1, 1748, Basel) was a major member of the Bernoulli family of Swiss mathematicians. He investigated the then new mathematical calculus , which he applied to the measurement of curves, to differential equations, and to mechanical problems.
- The Editors of Encyclopaedia Britannica
25 de abr. de 2024 · Historical Tidbits. 9.3. Bernoulli, Johan (1667-1748) Johann Bernoulli was one of the pioneers in the field of calculus and helped apply the new tool to real problems. His life was one of the most controversial of any mathematician. He was a member of the world's most successful mathematical family, the Bernoullis.
Hace 4 días · 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.
29 de abr. de 2024 · 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
7 de dic. de 2021 · A Bessel equation is a special case of a confluent hypergeometric equation. The Bessel function of the first kind of order ν: where Γ(z) = ∫∞0xz − 1e − xdx is the gamma function. There are two Bessel functions of the second kind of order ν: one is called the Weber function: Yν(x) = cosνπJν(x) − J − ν(x) sinνπ.
