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Type of sequence in numerical analysis
Sobol' sequences (also called LPτ sequences or (t, s) sequences in base 2) are a type of quasi-random low-discrepancy sequence. They were first introduced
Sobol_sequence
Type of mathematical sequence
in a sequence of the Sobol' type. For comparison, 10000 elements of a sequence of pseudorandom points are also shown. The low-discrepancy sequence was
Low-discrepancy_sequence
Russian mathematician (1926–2025)
new quasi-random number sequence known as LPτ sequence, or Sobol' sequences. These are now known as digital (t,s)-sequences in base 2, and they can be
Ilya_M._Sobol'
Numerical integration process
low-discrepancy sequence such as the Halton sequence, the Sobol sequence, or the Faure sequence, whereas Monte Carlo uses a pseudorandom sequence. The advantage
Quasi-Monte_Carlo_method
Form of global sensitivity analysis
Variance-based sensitivity analysis (often referred to as the Sobol’ method or Sobol’ indices, after Ilya M. Sobol’) is a form of global sensitivity analysis. Working
Variance-based sensitivity analysis
Variance-based_sensitivity_analysis
Topics referred to by the same term
Sobol, Oklahoma, United States Sobol sequence, a kind of quasi-random sequence All pages with titles containing Sobol Sobel (disambiguation) Sobole (disambiguation)
Sobol
Probabilistic problem-solving algorithm
Quasi-Monte Carlo method – Numerical integration process Sobol sequence – Type of sequence in numerical analysis Temporal difference learning – Computer
Monte_Carlo_method
Study of uncertainty in the output of a mathematical model or system
can often be done with low-discrepancy sequences, such as the Sobol sequence – due to mathematician Ilya M. Sobol or Latin hypercube sampling, although
Sensitivity_analysis
Probabilistic measurement methods
on the use of so-called "quasi-random" methods such as the use of Sobol sequences. The Monte Carlo method encompasses any technique of statistical sampling
Monte Carlo methods in finance
Monte_Carlo_methods_in_finance
lawyer, founder of Fatherland and Liberty. Ilya M. Sobol', 99, Russian mathematician (Sobol sequence, Sobol indices). Ueli Sutter, 78, Swiss Olympic cyclist
Deaths_in_December_2025
{\displaystyle 2^{16})} . The software is the Sobol' Sequence generator SobolSeq65536 which generates Sobol' Sequences satisfying Property A for all dimensions
Quasi-Monte Carlo methods in finance
Quasi-Monte_Carlo_methods_in_finance
In mathematics, he has made important contributions to the field of Sobol sequences; while in Mathematical Finance, he has been influential in the development
Peter_Jaeckel
Computer graphics method
property include Halton and Sobol' sequences. These are predefined (non-random) sequences, but in modern path tracers the sequences are permuted (scrambled)
Path_tracing
Month of 1926
Ilya Sobol, Lithuanian-born Russian mathematician known for variance-based sensitivity analysis (the "Sobol indices") and for the Sobol sequence; in Panevėžys
August_1926
Mortgage loan with an interest rate that changes based on credit markets
various computer simulation methodologies like Monte Carlo method or Sobol sequences. In these techniques, by using an assumed probability distribution
Adjustable-rate_mortgage
Book published in 2007
hypercube sampling and Quasi random sampling with Low-discrepancy Sequences, Sobol sequence specifically. Chapter 3 deals with the method of elementary effects
Global Sensitivity Analysis. The Primer
Global_Sensitivity_Analysis._The_Primer
Tornado outbreak in the central United States
no more than a six-hour gap between individual tornadoes. An outbreak sequence, prior to (after) the start of modern records in 1950, is defined as a
Tornado outbreak of April 2–3, 1956
Tornado_outbreak_of_April_2–3,_1956
Cyrillic letter
orthographically equivalent; one may compare the alphabet from Spiridon Sobol’s abecedarium of 1631, which has ѡ where Ivan Fedorov has ѻ. Иеромонах Алипий
Ot_(Cyrillic)
British children's television series
appeared in the form of sequences on Shining Time Station, during the program's run from 1989 to 1995 on PBS. The sequences of the series later aired
Thomas_&_Friends
Calculation of complex statistical distributions
Traub, Joseph (1996). "Beating Monte Carlo" (PDF). Risk. 9 (6): 63–65. Sobol, Ilya M (1998). "On Quasi-Monte Carlo Integrations". Mathematics and Computers
Markov_chain_Monte_Carlo
Sorceress in Arthurian legend
Revisited) has her in Broceliande after having imprisoned Merlin. Donald J. Sobol's post-Arthurian novel Greta the Strong (1970) telling of a farmer girl's
Lady_of_the_Lake
Gene known for its role in breast cancer
doi:10.1016/S1471-4914(02)02434-6. PMID 12470990. Gonçalves A, Viens P, Sobol H, Maraninchi D, Bertucci F (2005). "[Molecular alterations in breast cancer:
BRCA2
Italian researcher (born 1953)
1 1-17. Toshimitsu HOMMA and Andrea SALTELLI, 2005, Use of Sobol's Quasirandom Sequence Generator for Integration of Modified Uncertainty Importance
Andrea_Saltelli
American actor and screenwriter (born 1936)
aired in 1973 on Canada's CTV television network. He filmed a few FMV sequences for a re-released copy of the game Star Trek Starfleet Academy for PCs
Walter_Koenig
2024 death of a Russian opposition leader
Tolokonnikova and Lucy Shtein, as well as opposition politician Lyubov Sobol and former Russian state media journalist Marina Ovsyannikova, was prevented
Death and funeral of Alexei Navalny
Death_and_funeral_of_Alexei_Navalny
Horror and science fiction franchise
portrays the ghostly apparition of the character during a hallucination sequence in The Ghost of Frankenstein (1942). West portrayed the character in Van
Universal_Monsters
Medical condition
(PDF). interACT. January 23, 2017. Faye S, Balzary C, Wyman E, Jawara, Sobol S, Shelley N (2017). "Hanne Gaby Odiele". Dazed. No. 250. Archived from
Androgen insensitivity syndrome
Androgen_insensitivity_syndrome
French actor
accused of involved his defiance for not putting on their uniform. Joshua Sobol, the playwright, composed the play in his native Israel during the ongoing
JB_Blanc
Unfortunate Events Lemony Snicket 1999–2006 13 Encyclopedia Brown Donald J. Sobol 1963–2012 29 Goosebumps R. L. Stine 1992–1997 62 Tales to Give You Goosebumps
List of children's book series
List_of_children's_book_series
Amusement park in Bristol, Connecticut
Attraction Permanently". courant.com. 6 July 2017. Retrieved 2019-10-14. Sobol, Evan (2024-01-22). "Lake Compounce to remove some attractions". WFSB. Retrieved
Lake_Compounce
Enzyme that cleaves double-stranded RNA (dsRNA) into short dsRNA fragments
PMID 23222681. Chiosea S, Jelezcova E, Chandran U, Acquafondata M, McHale T, Sobol RW, et al. (Nov 2006). "Up-regulation of dicer, a component of the MicroRNA
Dicer
4th episode of the 5th season of Stargate Atlantis
Sobol was cast. Sobol was the alternate commander of the Daedalus, rather than Colonel Caldwell (Mitch Pileggi). By the time the episode aired, Sobol
The_Daedalus_Variations
Attack on Russian politician
preparing an exposé shortly before he became violently ill, Navalny ally Lyubov Sobol stated "I can't reveal all the details, but Navalny was on a work trip.
Poisoning_of_Alexei_Navalny
variance-relationship between input and output distribution, such as the Sobol index. With sensitivity analysis, the system complexity can be reduced and
Kimeme
Mammalian protein found in Homo sapiens
(4): 500–9. doi:10.1002/ana.23831. PMID 23401021. S2CID 13908127. Klar J, Sobol M, Melberg A, Mäbert K, Ameur A, Johansson AC, et al. (April 2013). "Welander
TIA1
Sigismondi† – The Runaways Jim Field Smith† – She's Out of My League Jonathan Sobol† – A Beginner's Guide to Endings Scott Stewart† – Legion Massy Tadjedin –
List_of_directorial_debuts
Polish and Soviet composer (1919–1996)
sang. Soon a record came out and I bought it. Music by Weinberg, lyrics by Sobol [ru] The bass, a soloist with the Kiev Philharmonic Orchestra, Mikhail Ryba [ru]
Mieczysław_Weinberg
Musical theater in Vienna, Austria
auditorium as cats in order to be able to comply with the distance rules. The sequence as well as the choreography had to be adapted and changed – these changes
Ronacher
Process of oxidative damage of deoxyribonucleic acid
doi:10.1089/ars.2013.5529. PMC 3960848. PMID 23901781. Li J, Braganza A, Sobol RW (2013). "Base excision repair facilitates a functional relationship between
DNA_oxidation
Animated TV series
Gioachino Rossini's William Tell Overture for the show's memorable opening sequence. Along with the Halas and Batchelor animators, the background department
The Lone Ranger (1966 TV series)
The_Lone_Ranger_(1966_TV_series)
Type of genomic structure
genomic sequences in Drosophila". Genome Research. 13 (6A): 1133–1145. doi:10.1101/gr.907603. PMC 403641. PMID 12799349. Cohen S, Agmon N, Sobol O, Segal
Extrachromosomal_circular_DNA
Chemical compound
doi:10.1089/ars.2013.5529. PMC 3960848. PMID 23901781. Li J, Braganza A, Sobol RW (2013). "Base excision repair facilitates a functional relationship between
8-Oxo-2'-deoxyguanosine
DNA located outside the chromosomes of a cell
1371/journal.pone.0006126. PMC 2699479. PMID 19568438. Cohen S, Agmon N, Sobol O, Segal D (March 2010). "Extrachromosomal circles of satellite repeats
Extrachromosomal_DNA
Protein-coding gene in the species Homo sapiens
685–98. doi:10.1089/hum.2005.16.685. PMC 1387050. PMID 15960600. Dvory-Sobol H, Sagiv E, Liberman E, Kazanov D, Arber N (January 2007). "Suppression
P53 upregulated modulator of apoptosis
P53_upregulated_modulator_of_apoptosis
appointed on the plaintiffs' side included Steve Berman of Hagens Berman Sobol Shapiro (on the personal injury and wrongful death committee) and Elizabeth
2009–2011 Toyota vehicle recalls
2009–2011_Toyota_vehicle_recalls
MRI sequence simulation technique
echo sequences at 1.5 and 3 T". Magnetic Resonance in Medicine. 55 (4): 826–835. doi:10.1002/mrm.20816. ISSN 0740-3194. Retrieved 2026-01-21. Sobol, Wlad
Extended_phase_graph
Rispal, 62, French actor. Dora Oake Russell, 73, Canadian writer. Louis Sobol, 89, American journalist. Brian Aherne, 83, English actor (Juarez), heart
Deaths_in_February_1986
Protein-coding gene in humans
PMC 3377385. PMID 22500800. Lebrun C, Olschwang S, Jeannin S, Vandenbos F, Sobol H, Frenay M (2007). "Turcot syndrome confirmed with molecular analysis"
MLH1
Ukrainian indie rock band
11 April 2015. "Watch this Ukrainian Band's Animated Music Video Live Sequenced Through 14 Apple Devices". Billboard. 24 September 2014. Retrieved 13
Brunettes_Shoot_Blondes
Hypothesis that aging is caused by accumulated DNA damage
doi:10.1371/journal.pgen.1000266. PMC 2580033. PMID 19023407. Almeida KH, Sobol RW (2007). "A unified view of base excision repair: lesion-dependent protein
DNA_damage_theory_of_aging
1947 film by Alfred E. Green
Girl Guest appearances by Broadway columnists: Abel Green as Himself Louie Sobol as Himself Earl Wilson as Himself According to a report in the Hollywood
Copacabana_(1947_film)
Jagmohan Singh, 88, Indian Olympic hurdler (1960), heart attack. Paul Sobol, 94, Belgian Holocaust survivor and educator. Sheldon Solow, 92, American
Deaths_in_November_2020
Rapid transit system in Kharkiv, Ukraine
12 December 1962, at a session of the Supreme Soviet of the USSR, Mykola Sobol [uk; ru], the First Secretary of the Kharkiv Regional Committee of the Communist
Kharkiv_Metro
Overview of the electronic medium's effects on large groups of consumers
New York: Simon & Schuster. ISBN 0-7432-0304-6. Gortmaker SL, Must A, Sobol AM, Peterson K, Colditz GA, Dietz WH (April 1996). "Television viewing as
Social_aspects_of_television
Movement of whole mitochondria between cells
Goodwin, J.; Bajzikova, M.; Kovarova, J.; Peterka, M.; Yan, B.; Pesdar, E.A; Sobol, M.; Filimonenko, A.; Stuart, S.; Vondrusova, M.; Kluckova, K.; Sachaphibulkij
Horizontal transfer of mitochondria
Horizontal_transfer_of_mitochondria
Software for working with quantitative decision models
distributions are sampled using either Latin hypercube, Monte Carlo, or Sobol sampling, then the samples are propagated through the computations to the
Analytica_(software)
Protein
doi:10.1385/1-59259-939-7:195. ISBN 978-1-58829-418-0. PMID 16000863. Sobol PT, Mossman KL (January 2006). "ICP0 prevents RNase L-independent rRNA cleavage
HHV infected cell polypeptide 0
HHV_infected_cell_polypeptide_0
Protein-coding gene in the species Homo sapiens
"Entrez Gene: NTHL1 nth endonuclease III-like 1 (E. coli)". Li J, Braganza A, Sobol RW (2013). "Base excision repair facilitates a functional relationship between
NTHL1
Classification of the plant genus Allium
Regel (Syn. Allium leucocephalum Turcz. ex Vved., Allium schischkinii K.Sobol.) Allium koreanum H.J.Choi & B.U.Oh Allium lineare L. Type Allium pseudostrictum
Taxonomy_of_Allium
kruid – een kleine kroniek. André Rogerie wrote Vivre c'est vaincre. Paul Sobol wrote Je me souviens d'Auschwitz – De l'étoile de shérif à la croix de vie
The Holocaust in the arts and popular culture
The_Holocaust_in_the_arts_and_popular_culture
81, British historian. André Simon, 92, French racing driver. Donald J. Sobol, 87, American writer (Encyclopedia Brown), gastric lymphoma. Sir Saxon Tate
Deaths_in_July_2012
journalist and publisher who co-founded MediaNews Group (born 1913) Donald J. Sobol, soldier and author (born 1924) Marvin Traub, businessman and author (born
2012_in_the_United_States
(942): 569–570. JSTOR 910014. Martin 1991, p. 7. "Forum: Dr. Mordechai Sobol's program for the Parashat Bereshit". Behadrei Haredim (in Hebrew and English)
British_Symphony_Orchestra
Protein-coding gene in the species Homo sapiens
77–85. doi:10.1016/s0378-5955(98)00059-8. PMID 9667433. S2CID 41009921. Sobol SE, Teng X, Crenshaw E, III. Abnormal Mesenchymal Differentiation in the
POU3F4
Protein found in humans
1002/pd.202. PMID 11810641. S2CID 8297098. Aguilella C, Dubourg C, Attia-Sobol J, Vigneron J, Blayau M, Pasquier L, Lazaro L, Odent S, David V (2003).
Homeobox_protein_TGIF1
American microbiologist
2020. Retrieved 2020-12-01.[permanent dead link] Shaw, K J; Berg, C M; Sobol, T J (1980). "Salmonella typhimurium mutants defective in acetohydroxy acid
Karen_Joy_Shaw
RNA family
PMC 3547033. PMID 23342147. Langevin SM, Stone RA, Bunker CH, Grandis JR, Sobol RW, Taioli E (May 2010). "MicroRNA-137 promoter methylation in oral rinses
MiR-137
SOBOL SEQUENCE
SOBOL SEQUENCE
Surname or Lastname
English
English : from a medieval male personal name (from Latin Hilarius, a derivative of hilaris ‘cheerful’, ‘glad’, from Greek hilaros ‘propitious’, ‘joyful’). The Latin name was chosen by many early Christians to express their joy and hope of salvation, and was borne by several saints, including a 4th-century bishop of Poitiers noted for his vigorous resistance to the Arian heresy, and a 5th-century bishop of Arles. Largely due to veneration of the first of these, the name became popular in France in the forms Hilari and Hilaire, and was brought to England by the Norman conquerors.English : from the much rarer female personal name Eulalie (from Latin Eulalia, from Greek eulalos ‘eloquent’, literally well-speaking, chosen by early Christians as a reference to the gift of tongues), likewise introduced into England by the Normans. A St. Eulalia was crucified at Barcelona in the reign of the Emperor Diocletian and became the patron of that city. In England the name underwent dissimilation of the sequence -l-l- to -l-r- and the unfamiliar initial vowel was also mutilated, so that eventually the name was considered as no more than a feminine form of Hilary (of which the initial aspirate was in any case variable).
Girl/Female
Tamil
Anuloma | அநà¯à®²à¯‹à®®à®¾
Sequence
Anuloma | அநà¯à®²à¯‹à®®à®¾
Girl/Female
Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Telugu
Sequence
Boy/Male
Indian, Sanskrit
Order; Sequence
Boy/Male
Indian, Sikh
Music; In-sequence
SOBOL SEQUENCE
SOBOL SEQUENCE
Boy/Male
Indian, Punjabi, Sikh
Transcending the World
Boy/Male
Hindu
A cavalier, A Hindu month, Medical God
Girl/Female
Scottish American
From the dales; the valley meadows. Name of a Texas city.
Girl/Female
Hindu, Indian
Another Name of Yellama Devi
Boy/Male
Basque Hebrew
Laughs.
Female
Arthurian
, soul.
Boy/Male
Tamil
Yugender | யà¯à®‚கேநà¯à®¤à®°
Boy/Male
Christian & English(British/American/Australian)
Like the Bear
Girl/Female
Biblical
Searching out.
Boy/Male
Hindu
One with few desires
SOBOL SEQUENCE
SOBOL SEQUENCE
SOBOL SEQUENCE
SOBOL SEQUENCE
SOBOL SEQUENCE
n.
That which follows or succeeds as an effect; sequel; consequence; result.
n.
Simple succession, or the coming after in time, without asserting or implying causative energy; as, the reactions of chemical agents may be conceived as merely invariable sequences.
n.
A melodic phrase or passage successively repeated one tone higher; a rosalia.
n.
All five cards, of a hand, in consecutive order as to value, but not necessarily of the same suit; when of one suit, it is called a sequence flush.
n.
The quality or state of succession in a series; sequence.
a.
Advancing with haste or speed; speedy in progression; in quick sequence; as, rapid growth; rapid improvement; rapid recurrence; rapid succession.
n.
A hymn introduced in the Mass on certain festival days, and recited or sung immediately before the gospel, and after the gradual or introit, whence the name.
n.
Three or more cards of the same suit in immediately consecutive order of value; as, ace, king, and queen; or knave, ten, nine, and eight.
a.
Having or observing logical sequence; logically consistent and rigorous; consecutive in development or transition of thought.
superl.
Composed of cards which constitute a regular sequence, as the ace, king, queen, jack, and ten-spot; as, a straight hand; a straight flush.
n.
A sequence of three playing cards of the same suit. Tierce of ace, king, queen, is called tierce-major.
n.
A form of melody in which a phrase or passage is successively repeated, each time a step or half step higher; a melodic sequence.
n.
The act of succeeding, or following after; a following of things in order of time or place, or a series of things so following; sequence; as, a succession of good crops; a succession of disasters.
n.
A number of things or events standing or succeeding in order, and connected by a like relation; sequence; order; course; a succession of things; as, a continuous series of calamitous events.
n.
The state of being sequent; succession; order of following; arrangement.
n.
A hand of five cards in consecutive order as to value; a sequence. When they are of one suit, it is calles straight flush.
n.
In evolution, a deviation from the typical sequence in the formation of organs or parts.
n.
That which follows as a result; a sequence.
n.
Any succession of chords (or harmonic phrase) rising or falling by the regular diatonic degrees in the same scale; a succession of similar harmonic steps.
n.
The doctrine of philosophical necessity; the doctrine that results follow by invariable sequence from causes, and esp. that the will is not free, but that human actions and choices result inevitably from motives; deteminism.