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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 ...
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 ...
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)
Sir George Gabriel Stokes, 1st Baronet, (/ s t oʊ k s /; 13 August 1819 – 1 February 1903) was an Irish mathematician and physicist.Born in County Sligo, Ireland, Stokes spent all of his career at the University of Cambridge, where he was the Lucasian Professor of Mathematics from 1849 until his death in 1903.
Cameron–Martin theorem; Campbell's theorem (probability) Central limit theorem; Characterization of probability distributions; Chung–Erdős inequality; Condorcet's jury theorem; Continuous mapping theorem; Contraction principle (large deviations theory) Coupon collector's problem; Cox's theorem; Cramér–Wold theorem; Cramér's theorem ...
In particular, the fundamental theorem of calculus is the special case where the manifold is a line segment, Green’s theorem and Stokes' theorem are the cases of a surface in or , and the divergence theorem is the case of a volume in . [2] Hence, the theorem is sometimes referred to as the fundamental theorem of multivariate calculus.
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.