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One-dimensional low-discrepancy sequence
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
Van_der_Corput_sequence
Dutch mathematician (1890–1975)
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
Johannes_van_der_Corput
Type of number sequence
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)
Equidistributed_sequence
Type of mathematical sequence
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
Low-discrepancy_sequence
Type of numeric sequence used in statistics
example of a quasi-random number sequence. They generalize the one-dimensional van der Corput sequences. The Halton sequence is constructed according to a
Halton_sequence
In mathematics, the van der Corput inequality is a corollary of the Cauchy–Schwarz inequality that is useful in the study of correlations among vectors
Van_der_Corput_inequality
Permutation that reverses binary numbers
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
Bit-reversal_permutation
British mathematician (1925–2015)
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
Klaus_Roth
Computer science problem
{\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,
Longest increasing subsequence
Longest_increasing_subsequence
Even integers as sums of two primes
three primes. Using Vinogradov's method, Nikolai Chudakov, Johannes van der Corput, and Theodor Estermann showed (1937–1938) that almost all even numbers
Goldbach's_conjecture
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
All_nearest_smaller_values
Summatory function of the divisor-counting function
J. van der Corput improved Dirichlet's bound to inf θ ≤ 33 / 100 = 0.33 {\displaystyle \inf \theta \leq 33/100=0.33} . In 1928, van der Corput proved
Divisor_summatory_function
Type of distribution in mathematical analysis
quotations related to Oscillatory integral. Riemann–Lebesgue lemma van der Corput lemma Oscillatory integral operator Hörmander, Lars (1983), The Analysis
Oscillatory_integral
Finite sum formed using the exponential function
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
Exponential_sum
Mathematical conjecture on the Riemann zeta function
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
Lindelöf_hypothesis
Number of integers coprime to and less than n
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
Euler's_totient_function
{\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
Heilbronn_set
VAN DER-CORPUT-SEQUENCE
VAN DER-CORPUT-SEQUENCE
Boy/Male
Dutch American
Equivalent of 'de' in French names. Van was sometimes converted from a surname prefix to a given...
Girl/Female
Dutch
Of. The Dutch equivalent of 'de' in French names. Some early immigrants to America who dropped...
Surname or Lastname
Vietnamese
Vietnamese : unexplained.Dutch (De Van) : metonymic occupational name for a winnower or a maker of winnowing fans, from Middle Dutch van(ne) ‘fan’.English : Western English variant of Fann.Czech (Vaň) : from a pet form of the personal name Václav, Old Czech Vęceslav (see Vacek).Ukrainian : from a short form of the personal name Ivan, Slavic form of John.
Boy/Male
German American
The prefex 'Von' is equivalent of 'Van' in Dutch names and of 'de' in French names.
Boy/Male
Australian, British, English, Latin
Woman Dyer; Right-handed
Boy/Male
American, Australian, British, English, French, Latin
Proud Friend; Short for Names Beginning with Del
Female
English
Short form of English Deborah, DEB means "bee."
Surname or Lastname
English
English : variant spelling of Corp.
Male
English
English unisex short form of longer names beginning with the letter "D." In some cases, it may be of Scottish origin, associated with the River Dee, possibly DEE means "dark water." Compare with strictly feminine Dee.
Girl/Female
English
A masculine or feminine name beginning with Del.
Boy/Male
American, Armenian, British, Christian, Dutch, English, Hindu, Indian, Scandinavian, Tamil, Vietnamese
Traditional Middle Name to Indicate a Boy; Forest; From the Family of; Lives by a Marsh; Cloud; Knowledge
Boy/Male
British, English
Abbreviation of Names Beginning with Jer
Boy/Male
German
Ruler; Form of Derek
Boy/Male
American, Australian, British, English
Short Form of Name Starting with Des
Male
English
 Short form of English Vance, VAN means "lives by a fen/marsh."
Male
Turkish
Turkish name GÖKER means "man of the sky."
Male
Scandinavian
Scandinavian form of Latin Petrus, PER means "rock, stone."
Boy/Male
African, Greek, Hindu, Indian, Italian
Dev
Female
English
Pet form of English Adela, DEL means "noble." Also used as a short form of other longer names beginning with Del-.
Boy/Male
British, English, Latin
Raven; Variant of Corbet; Black-haired; Dark as a Raven
VAN DER-CORPUT-SEQUENCE
VAN DER-CORPUT-SEQUENCE
Boy/Male
Assamese, Hindu, Indian, Sanskrit, Tamil, Telugu, Traditional
Long Life
Boy/Male
Arabic
Right of God; Prayer; Religious Duties
Boy/Male
Muslim
Latch, Door lock
Surname or Lastname
English and Scottish
English and Scottish : variant spelling of Low.German (Löwe) : see Loewe.Jewish (Ashkenazic; Löwe) : ornamental name from German Löwe ‘lion’.Jewish (Ashkenazic) : Germanized form of Levy.
Boy/Male
Muslim
Intellectual, Cerebral
Girl/Female
Tamil
Great, Splendid
Surname or Lastname
English
English : from a pet form of Day.
Boy/Male
Australian, Scottish
Son of the Bald Man
Girl/Female
Australian, Hebrew
Ewe; Female Sheep; Rachel was the Second and Favored Wife of Jacob in the Old Testament
Girl/Female
Welsh
Sign.
VAN DER-CORPUT-SEQUENCE
VAN DER-CORPUT-SEQUENCE
VAN DER-CORPUT-SEQUENCE
VAN DER-CORPUT-SEQUENCE
VAN DER-CORPUT-SEQUENCE
n.
A smooth soft covering resembling or suggesting a carpet.
n.
A dear one; lover; sweetheart.
pl.
of Cornu
v. t.
To wet with dew or as with dew; to bedew; to moisten; as with dew.
v. t.
To debase or render impure by alterations or innovations; to falsify; as, to corrupt language; to corrupt the sacred text.
v. t.
To draw aside from the path of rectitude and duty; as, to corrupt a judge by a bribe.
v. t.
To compute; to count.
n.
A troop of cavalry; -- so called from its being accompanied by a cornet player.
a.
Abounding in errors; not genuine or correct; as, the text of the manuscript is corrupt.
n.
A fan or other contrivance, as a sieve, for winnowing grain.
a.
Changed from a state of uprightness, correctness, truth, etc., to a worse state; vitiated; depraved; debased; perverted; as, corrupt language; corrupt judges.
n. sing. & pl.
A body of men; esp., an organized division of the military establishment; as, the marine corps; the corps of topographical engineers; specifically, an army corps.
n.
An obsolete rude reed instrument (Ger. Zinken), of the oboe family.
pl.
of Cornu Ammonis
v. i.
To live in, or as in, a den.
n.
A native or inhabitant of Corfu, an island in the Mediterranean Sea.
v. t.
To cover with, or as with, a carpet; to spread with carpets; to furnish with a carpet or carpets.
pron. & a.
The form of the objective and the possessive case of the personal pronoun she; as, I saw her with her purse out.
prep.
Through; by means of; through the agency of; by; for; for each; as, per annum; per capita, by heads, or according to individuals; per curiam, by the court; per se, by itself, of itself. Per is also sometimes used with English words.
v. t.
To fan, or to cleanse by fanning; to winnow.