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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
20 de abr. de 2024 · A Bernoulli differential equation is an equation of the form y′ + a(x)y = g(x)yν, y ′ + a ( x) y = g ( x) y ν, 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.
17 de abr. de 2024 · Jakob Bernoulli 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 scion of a family of drug merchants, Jakob Bernoulli was compelled to study.
- The Editors of Encyclopaedia Britannica
15 de abr. de 2024 · The calculus of variations may be said to begin with Newton's minimal resistance problem in 1687, followed by the brachistochrone curve problem raised by Johann Bernoulli (1696). It immediately occupied the attention of Jacob Bernoulli and the Marquis de l'Hôpital , but Leonhard Euler first elaborated the subject, beginning in 1733.
Hace 20 horas · But Johann Bernoulli was busy, and flatly refused to give Euler private lessons. Instead he advised him to start reading some more difficult mathematical books and work through them as diligently as he could, and if he came across some obstacle or difficulty, he could visit him every Saturday afternoon.
2 de abr. de 2024 · What exactly is lightning? While many envision lightning as the dramatic bolts connecting clouds to the ground, in reality 90% of significant electric discha...
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