#Emile Borel

Émile Borel and the Infinite Monkey Problem

Émile Borel and the Infinite Monkey Problem

On January 7, 1871, French mathematician Félix Édouard Justin Émile Borel was born. Borel is known for his founding work in the areas of measure theory and probability. In one of his books on probability, he proposed the thought experiment that a monkey hitting keys at random on a typewriter keyboard will – with absolute certainty – eventually type every book in France’s Bibliothèque nationale de France (National Library). This is now…
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Maurice René Fréchet and the Theory of Abstract Spaces

Maurice René Fréchet and the Theory of Abstract Spaces

On September 2, 1878, French mathematician Maurice René Fréchet was born. Fréchet is known chiefly for his contribution to real analysis. He is credited with being the founder of the theory of abstract spaces, which generalized the traditional mathematical definition of space as a locus for the comparison of figures; in Fréchet‘s terms, space is defined as a set of points and the set of relations. He also made several important contributions…
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Henri Léon Lebesgue and the Theory of Integration

Henri Léon Lebesgue and the Theory of Integration

On June 28, 1875, French mathematician Henri Léon Lebesgue was born. He is best known for his theory of integration, which was a generalization of the 17th century concept of integration, i.e. summing the area between an axis and the curve of a function defined for that axis. By extending the work of Camille Jordan and Émile Borel on the Riemann integral, Lebesgue provided a generalization that solved many of the difficulties…
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