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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 ...
It says, "Mathematical formulas and theorems are usually not named after their original discoverers" and was named after Carl Boyer, whose book A History of Mathematics contains many examples of this law. Kennedy observed that "it is perhaps interesting to note that this is probably a rare instance of a law whose statement confirms its own ...
The Reynolds number in fluid mechanics was introduced by George Stokes, but is named after Osborne Reynolds, who popularized its use. Richards equation is attributed to Richards in his 1931 publication, but was earlier introduced by Richardson in 1922 in his book "Weather prediction by numerical process."
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)
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 .
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.
Chapter 14 'The Fundamental Theorems of Probable Inference' gives the main results on the addition, multiplication independence and relevance of conditional probabilities, leading up to an exposition of the 'Inverse principle' (now known as Bayes Rule) incorporating some previously unpublished work from W. E. Johnson correcting some common text ...
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 ...