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Stokes' theorem. It is named after Sir George Gabriel Stokes (1819–1903), although the first known statement of the theorem is by William Thomson (Lord Kelvin) and appears in a letter of his to Stokes. The theorem acquired its name from Stokes' habit of including it in the Cambridge prize examinations. In 1854 he asked his students to prove ...
Examples include Hubble's law, which was derived by Georges Lemaître two years before Edwin Hubble; the Pythagorean theorem, which was known to Babylonian mathematicians before Pythagoras; and Halley's Comet, which was observed by astronomers since at least 240 BC (although its official designation is due to the first ever mathematical ...
Bertrand's ballot theorem proved using André's reflection method, which states the probability that the winning candidate in an election stays in the lead throughout the count. It was first published by W. A. Whitworth in 1878, nine years before Joseph Louis François Bertrand ; Désiré André 's proof did not use reflection, though ...
It should only contain pages that are Probability theorems or lists of Probability theorems, as well as subcategories containing those things (themselves set categories). Topics about Probability theorems in general should be placed in relevant topic categories .
In 1961, Jan-Erik Roos published an incorrect theorem about the vanishing of the first derived functor of the inverse limit functor under certain general conditions. [16] However, in 2002, Amnon Neeman constructed a counterexample. [17] Roos showed in 2006 that the theorem holds if one adds the assumption that the category has a set of ...
When we recently wrote about the toughest math problems that have been solved, we mentioned one of the greatest achievements in 20th-century math: the solution to Fermat’s Last Theorem. Sir ...
These non-probabilistic existence theorems follow from probabilistic results: (a) a number chosen at random (uniformly on (0,1)) is normal almost surely (which follows easily from the strong law of large numbers); (b) some probabilistic inequalities behind the strong law. The existence of a normal number follows from (a) immediately.
Bayes' theorem (probability) Bertrand's ballot theorem (probability theory, combinatorics) Burke's theorem (probability theory, queueing theory) Central limit theorem (probability) Clark–Ocone theorem (stochastic processes) Continuous mapping theorem (probability theory) Cramér's theorem (large deviations) (probability)