Bernoulli, Jacob

The controversy was far-reaching. The Swiss family Bernoulli - Jacob (1654-1705), John (1667-1748) and Daniel (1700-1782) - fought Leibniz s corner brilliantly and in the process most rigidly defined how his thought would be transferred to use and what the common understanding of the method would be. 

During the time of Newton, Bernoulli family contributed a lot to engineering. Jacob Bernoulli (1655-1705) along with his brother Johann Bernoulli (1667-1748) founded the calculus of variations. With the help of calculus of variations, one can find an integrand function that minimize or maximize an integral. For example, consider the following integral expression (called functional, i.e., function of functions) ... 

Methods of statistical sampling and the Law of Large Numbers were invented in 1703 by Jacob Bernoulli. Abraham de Moivre discovered the concept and structure of normal distribution in 1730. Around the same time Daniel Bemoulh defined the systematic process by which people make choices and decisions. Thomas Bayes, in about 1750, discovered a way to make better-informed decisions by mathematically blending new into old informatiom In 1875, Francis Gallon discovered regression to the mean, and Harry Markowitz demonstrated mathematically why diversification is desirable in 1952. 

First studied by Jacob Bernoulli (1654-1705). First studied by Simeon Poisson (1781-1840). 

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