A van der Corput sequence is an example of the simplest one-dimensional low-discrepancy sequence over the unit interval; it was first described in 1935...
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sequence p(n) is uniformly distributed modulo 1. This was proven by Weyl and is an application of van der Corput's difference theorem. The sequence log(n)...
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in Oslo. van der Corput inequality van der Corput lemma (harmonic analysis) van der Corput's method van der Corput sequence van der Corput's theorem "Johannes...
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D_{N}^{*}} is the star discrepancy. The Halton sequence is a natural generalization of the van der Corput sequence to higher dimensions. Let s be an arbitrary...
25 KB (4,257 words) - 21:24, 17 April 2025
example of a quasi-random number sequence. They generalize the one-dimensional van der Corput sequences. The Halton sequence is constructed according to a...
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the study of equidistributed sequences, for example in the Weyl equidistribution estimate. Loosely stated, the van der Corput inequality asserts that if...
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Pavlovna Ehrenfest. Despite the prior work of Ehrenfest and Johannes van der Corput on the same problem, Roth was known for boasting that this result "started...
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devise lower bounds in distributed computation. The Van der Corput sequence, a low-discrepancy sequence of numbers in the unit interval, is formed by reinterpreting...
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{\displaystyle n} denotes the length of the input sequence. In the first 16 terms of the binary Van der Corput sequence 0, 8, 4, 12, 2, 10, 6, 14, 1, 9, 5, 13,...
20 KB (2,446 words) - 08:50, 7 October 2024
input is the binary van der Corput sequence 0, 8, 4, 12, 2, 10, 6, 14, 1, 9, 5, 13, 3, 11, 7, 15. The first element of the sequence (0) has no previous...
10 KB (1,347 words) - 11:55, 25 April 2025
three primes. Using Vinogradov's method, Nikolai Chudakov, Johannes van der Corput, and Theodor Estermann showed (1937–1938) that almost all even numbers...
29 KB (3,720 words) - 10:50, 8 May 2025
van der Corput improved Dirichlet's bound to inf θ ≤ 33 / 100 = 0.33 {\displaystyle \inf \theta \leq 33/100=0.33} .: 381 In 1928, van der Corput proved...
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approximate evaluation of the sum. Major advances in the subject were Van der Corput's method (c. 1920), related to the principle of stationary phase, and...
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quotations related to Oscillatory integral. Riemann–Lebesgue lemma van der Corput lemma Oscillatory integral operator Hörmander, Lars (1983), The Analysis...
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Göttingen, math.-phys. Klasse: 155–158. Titchmarsh, E. C. (1932). "On van der Corput's method and the zeta-function of Riemann (III)". The Quarterly Journal...
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sums due to I. M. Vinogradov and N. M. Korobov. By a combination of van der Corput's and Vinogradov's methods, H.-Q. Liu (On Euler's function.Proc. Roy...
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{\displaystyle \eta _{2}} may be taken arbitrarily close to 4/7. Any Van der Corput set is also a Heilbronn set. The powers of 10 are not a Heilbronn set...
4 KB (577 words) - 03:43, 16 November 2022