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Phenomenon of instability of integrable Hamiltonian systems
mathematics, Arnold diffusion is the phenomenon of instability of nearly-integrable Hamiltonian systems. The phenomenon is named after Vladimir Arnold who was
Arnold_diffusion
Result in theory of Hamiltonian systems
Kolmogorov–Arnold–Moser theorem and the phenomenon of instability for nearly integrable Hamiltonian systems, sometimes called Arnold diffusion, in the following
Nekhoroshev_estimates
Result in dynamical systems
it does not involve small divisors. Stability of the Solar System Arnold diffusion Ergodic theory Hofstadter's butterfly Nekhoroshev estimates A. N. Kolmogorov
Kolmogorov–Arnold–Moser theorem
Kolmogorov–Arnold–Moser_theorem
Russian mathematician (1937–2010)
Vladimir Igorevich Arnold (or Arnol'd; Russian: Влади́мир И́горевич Арно́льд, IPA: [vlɐˈdʲimʲɪr ˈiɡərʲɪvʲɪtɕ ɐrˈnolʲt]; 12 June 1937 – 3 June 2010) was
Vladimir_Arnold
Arnold, a Russian and Soviet mathematician. Arnold complexity in dynamical systems theory Arnold conjecture Arnold diffusion Arnold invariants Arnold
List of things named after Vladimir Arnold
List_of_things_named_after_Vladimir_Arnold
American mathematician (1942–2017)
revealed in the weak KAM theory of Albert Fathi. He announced a proof of Arnold diffusion for nearly integrable Hamiltonian systems with three degrees of freedom
John_N._Mather
Chinese-American mathematician
original (PDF) on 2018-05-19. Retrieved 2018-07-28. Xia, Z (1994). "Arnold diffusion and oscillatory solutions in the planar three-body problem". Journal
Zhihong_Xia
Soviet physicist (1935–2008)
the famous Arnold diffusion in non-degenerated Hamiltonian systems, that appears only if the number of degrees of freedom exceeds 2, diffusion in the Zaslavsky
George_Zaslavsky
Italian mathematician
Hamiltonian systems and stability questions. He has also done research on Arnold diffusion, spectral theory of the quasiperiodic one-dimensional Schrödinger equation
Luigi_Chierchia
Russian mathematician and mathematical physicist
splitting, averaging in slow-fast systems, chaos in Hamiltonian dynamics, Arnold diffusion, statistical mechanics, and ergodic theory. He has served on the editorial
Dmitrii_Treschev
Doubling map on the unit interval
constrain the behavior of the system as a whole. Phenomena such as Arnold diffusion suggest that the general answer is "not very much". Instead of looking
Dyadic_transformation
dynamics is symplectic. For long term stability, tiny dynamical diffusion (or Arnold diffusion) can lead an initially stable orbit slowly into an unstable
Dynamic aperture (accelerator physics)
Dynamic_aperture_(accelerator_physics)
20th-century Russian physicist
instabilities in many-dimensional Hamiltonian systems (Arnold diffusion and modulational diffusion); the demonstration that the homogeneous models of classical
Boris_Chirikov
Italian mathematician
splittings: tree techniques in the theory of homoclinic splitting and Arnold diffusion for a-priori stable systems, was supervised by Luigi Chierchia. She
Michela_Procesi
Graduate-level textbooks in mathematics
Geometry Peter Scholze, Jared Weinstein 2020-05-26 264 9780691202082 208 Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom Vadim Kaloshin
Annals_of_Mathematics_Studies
French mathematician and economist
author of a seminal article in 1988 on Arnold diffusion, where he proved a long-standing conjecture of Vladimir Arnold on the existence of topologically unstable
Raphael_Douady
Bjerhammar Arno Allan Penzias Arnold Eucken Arnold Flammersfeld Arnold Kosevich Arnold Kramish Arnold Sommerfeld Arnold diffusion Arrayed waveguide grating
Index_of_physics_articles_(A)
American physical chemist (1893–1981)
at Columbia University that developed isotope separation using gaseous diffusion. The method was successfully developed, becoming the sole method used
Harold_Urey
Manhattan Project uranium enrichment facility
diffusion during World War II. It was one of three technologies for uranium enrichment pursued by the Manhattan Project. The liquid thermal diffusion
S-50_(Manhattan_Project)
News website focused on Apple, Inc.
positive community around Apple. The site was founded in February 2000 by Arnold Kim and remains a privately owned publication. Kim has been profiled in
MacRumors
1959 film by Joseph L. Mankiewicz
The musical score was composed by Buxton Orr, using themes by Malcolm Arnold. The plot centers on Catherine Holly, a young woman who, at the insistence
Suddenly,_Last_Summer_(film)
American inventor and machinist (1788–1865)
Aza Arnold (October 4, 1788 – 1865) was an American machinist, inventor, millowner, and patent attorney. Born in Smithfield, Rhode Island, he was trained
Aza_Arnold
Random motion of particles suspended in a fluid
the probability distribution of a Brownian particle and the macroscopic diffusion equation. These predictive equations describing Brownian motion were subsequently
Brownian_motion
Arnold Vinnius (4 January 1588 – 1 September 1657) was a Dutch jurist and writer. Vinnius was born in Monster. He attended the University of Leiden from
Arnold_Vinnius
Social behavior and norms of a society
ideas may transfer from one society to another, through diffusion or acculturation. In diffusion, the form of something (though not necessarily its meaning)
Culture
World War II Allied nuclear weapons program
gaseous diffusion plant and the K-25 power plant. The latter provided energy to both the K-25 gaseous diffusion plant and the S-50 thermal diffusion plant
Manhattan_Project
American nuclear materials company
facility for the production of enriched uranium through gaseous diffusion. In gaseous diffusion, isotopes of Uranium-235 could be separated from Uranium-238
Kellex_Corporation
American screenwriter (1873–1943)
Frederic Arnold Kummer Sr. (August 5, 1873 – November 22, 1943) was an American author, playwright and screenwriter. He also used the pseudonym Arnold Fredericks
Frederic_Arnold_Kummer
German mathematician and physicist
supervision of Gustav Tammann, with a dissertation titled Über Diffusion im festen Zustande ("On diffusion in the solid state"). As a student, she was a personal
Iris_Runge
Co-educational private school in Warwickshire, England
school remained in comparative obscurity. Its re-establishment by Thomas Arnold during his time as Headmaster, from 1828 to 1842, was seen as the forerunner
Rugby_School
Measure of water potential across a semi-permeable cell membrane
nor shrinks because there is no concentration gradient to induce the diffusion of large amounts of water across the cell membrane. Water molecules freely
Tonicity
American physicist
an accident at the Philadelphia Naval Yard where a prototype thermal diffusion isotope separation device was being constructed. The priest of the Philadelphia
Arnold_Kramish
Loanword that occurs in several languages, with the same or similar meaning and etymology
Germanistische Linguistik. Band 246), Tübingen: Niemeyer 2003, ISBN 3-484-31246-7. Arnold, Irina Vladimirovna (1986). The English Word (PDF). Moscow. Retrieved 2022-07-22
Internationalism (linguistics)
Internationalism_(linguistics)
convergence as function of mesh density. FEEC is of immediate relevancy for diffusion, elasticity, electromagnetism, Stokes flow. For the important de Rham
Finite element exterior calculus
Finite_element_exterior_calculus
Blackwell, 869-70. Lawson, V.L., "Making Development Geography". London: Hodder Arnold Durkheim E., "Selected Writings".Cambridge: University Press Nagel, T. The
Universalism_in_geography
Island country in Southeast Asia
cuisine, a mix of Chinese and Malay cuisine). In hawker centres, cultural diffusion is exemplified by traditionally Malay hawker stalls also selling Tamil
Singapore
Country in South Asia
commercial problem, for instance). In the following centuries, as there is a diffusion into the West (by intermediary of the Arabs) of the methods and results
India
Partial differential equation
equation is a fundamental partial differential equation and convection–diffusion equation occurring in various areas of applied mathematics, such as fluid
Burgers'_equation
Passage of fluid through the circulatory or lymphatic system to an organ or tissue
tomography. Perfusion can be determined by measuring the total thermal diffusion and then separating it into thermal conductivity and perfusion components
Perfusion
Soviet mathematician (1903–1987)
the context of diffusion and in the forward case) Kolmogorov dimension (upper box dimension) Kolmogorov–Arnold theorem Kolmogorov–Arnold–Moser theorem
Andrey_Kolmogorov
UK atomic bomb development project
reactors and a plutonium processing plant at Windscale, and a gaseous diffusion uranium enrichment facility at Capenhurst, near Chester. The two Windscale
High_Explosive_Research
American fashion designer and television presenter (born 1961)
Messing and Natalie Portman. From 1995 to 1997, Mizrahi also designed a diffusion line, named "IS**C" in an act of "name effacement" intended to prevent
Isaac_Mizrahi
Alleged extra-terrestrial beings
créature de Roswell, etc. Avec ces déclarations de Jimmy Guieu lors de la diffusion en direct de cette émission "Ciel, mon mardi!" par la chaîne de télévision
Grey_alien
Conviction that ethical standards do not apply to oneself
practice of diffusion of responsibility. It occurs in a group of people, where with the increasing number of people, the level of diffusion increases.
Moral_disengagement
British contribution to the WWII atomic bomb project
development of gaseous diffusion technology in New York. Britain also produced the powdered nickel required by the gaseous diffusion process. Another mission
British contribution to the Manhattan Project
British_contribution_to_the_Manhattan_Project
Slow, downward progression of rock and soil down a low grade slope
{\displaystyle k_{d}\,\!} is the diffusion constant, and S {\displaystyle S\,\!} is slope. For steep slopes, diffusional sediment flux is more appropriately
Downhill_creep
British colonial administrator (1828–1859)
William Delafield Arnold (7 April 1828 – 9 April 1859) was a British writer and colonial administrator. English Wikisource has original text related to
William_Delafield_Arnold
Name list
professional basketball player Paul Armentano, American cannabis activist Paul Arnold (disambiguation), several people Paul Aron (born 2004), Estonian racing
Paul_(given_name)
Log burnt on a hearth as a Christmas tradition
Christmas in France, Chicago: World Book, 1996, ISBN 9780716608769, p. 55. Arnold van Gennep, Manuel de folklore français contemporain Part 1: Les cérémonies
Yule_log
Allcott, Hunt; Gentzkow, Matthew; Yu, Chuan (2019-04-01). "Trends in the diffusion of misinformation on social media" (PDF). Research & Politics. 6 (2) 2053168019848554
List of miscellaneous fake news websites
List_of_miscellaneous_fake_news_websites
American inventor, executive, and musician (1943–2015)
Calmes' lifelong fascination with music first showed itself when playing Eddy Arnold songs on the ukulele, before learning guitar at the age of 15. The Calmes
Jack_Calmes
programme". Le site de l'ACID – Association du Cinéma Indépendant pour sa Diffusion. Retrieved 16 April 2024. "Cannes Cinephiles – Selections". Retrieved
2024_Cannes_Film_Festival
German-born British physicist and atomic spy (1911–1988)
only as Camp Y. … Simultaneously, the diffusion method is being tried here in the East. … Should the diffusion method prove successful, it will be used
Klaus_Fuchs
1993 film by Steven Spielberg
engineer Ray Arnold decide to reboot the park's systems. They shut down the power grid and retreat to an emergency bunker while Arnold heads to a maintenance
Jurassic_Park
Speculative historical theories
Three inscribed slate tables found in the United States in the 1870s Diffusion (anthropology) Genetic history of indigenous peoples of the Americas Gwennan
Pre-Columbian transoceanic contact theories
Pre-Columbian_transoceanic_contact_theories
River in Estrie and Chaudière-Appalaches, Quebec, Canada
www.diffusion.transports.gouv.qc.ca (in Canadian French). Retrieved 2017-12-30. "Transport infrastructures - Structure details". www.diffusion.transports
Chaudière_River
British nuclear weapons research during WW2
Britain's own gaseous diffusion plant, a heavy water plant and an atomic reactor in Britain, despite the immense cost. A gaseous diffusion plant to produce
Tube_Alloys
Term in public policy
ideas may transfer from one society to another, through diffusion or acculturation. In diffusion, the form of something (though not necessarily its meaning)
Culture_change
French activist
Jean-Michel Arnold, (April 5, 1938 – September 4, 2019) was General Secretary of the Cinémathèque Française, Vice President of UNESCO's IFTC (International
Jean-Michel_Arnold
English computer scientist (1912–1954)
reacting with each other and diffusing across space, termed a reaction–diffusion system, could account for "the main phenomena of morphogenesis". He used
Alan_Turing
Shockley Semiconductor employees who left to found Fairchild Semiconductor
unexpected. Shockley initially planned to work on the mass production of diffusion bipolar transistors, but then set up a "secret project" on Shockley diodes
Traitorous_eight
to be screened in the ACID (Association du cinéma indépendant pour sa diffusion) section, consisting of six fiction films and three documentaries: (ŒdO)
2026_Cannes_Film_Festival
Circulation of the blood in the smallest blood vessels
capillaries, which branch out to increase the swap area, minimize the diffusion distance as well as maximize the surface area and the exchange time. Approximately
Microcirculation
American television sitcom (2007–2019)
Mark Hamill made guest appearances. In the episode "The Ornithophobia Diffusion", when there is a delay in watching Star Wars on Blu-ray, Howard complains
The_Big_Bang_Theory
Uranium enrichment facility in Cheshire, England
it was chosen by the Ministry of Supply as the location for a gaseous diffusion enrichment plant for the UK's nuclear weapons programme. It first produced
Capenhurst_nuclear_site
Width of the beam of light emitted by a light
field angle are specific kinds of what has been termed angle of diffusion or diffusion angle. IES does not define the term beam centerline, but it does
Beam_angle
Kumarasamy (12 January 2016). "Dissecting the influence of Neolithic demic diffusion on Indian Y-chromosome pool through J2-M172 haplogroup". Scientific Reports
Demographics_of_Tunisia
Gaseous diffusion through body tissue at constant total pressure
In physiology, isobaric counterdiffusion (ICD) is the diffusion of different gases into and out of tissues while under a constant ambient pressure, after
Isobaric_counterdiffusion
German-born theoretical physicist (1879–1955)
and 1904 was mainly concerned with the effect of finite atomic size on diffusion phenomena. Einstein returned to the problem of thermodynamic fluctuations
Albert_Einstein
American civil rights activist (1925–1965)
1233. Terrill 2004, pp. 15–16. Bishku-Aykul, Jeffrey Howard (2020). "The diffusion of Malcolm X as a political symbol among Turkish islamists". Boğaziçi
Malcolm_X
Archbishop of Canterbury from 1162 to 1170
tragedy The martyrdom of Thomas Becket in Santa Maria de Terrassa and the diffusion of its cult in the Iberian Peninsula. Anem Editors. ISBN 978-84-122385-7-0
Thomas_Becket
Western music created during the Middle Ages
(such as the increasingly international style developing through the diffusion of Franco-Flemish musicians throughout Europe, and in terms of texture
Medieval_music
Former air-cooled graphite-moderated nuclear reactors
gaseous diffusion process through work done not just in the United States, but in Britain as well, where ICI had designed a gaseous diffusion production
Windscale_Piles
Mixture or metallic solid solution composed of two or more elements
steel production (solid-liquid), mixing the elements via solid-state diffusion. By adding another element to a metal, differences in the size of the
Alloy
Ratio of inertial to viscous forces acting on a liquid
fluid mechanics. The Reynolds number measures the ratio of advection and diffusion effects on structures in the velocity field, and is therefore closely
Reynolds_number
1982 film by Tobe Hooper
and Las Vegas spots and fish tanks of water to give different kind of diffusion to the beams coming out and four large wind machines... We wanted the
Poltergeist_(1982_film)
1954 U.S. thermonuclear weapon test in the Marshall Islands
encased within the weapon-grade plutonium inner capsule prevented DT gas diffusion into the plutonium, a technique first tested in Greenhouse Item. The assembled
Castle_Bravo
Physics and Astronomy. 12 March 2017. Grant, Oliver (December 1998). "The Diffusion Of The Herringbone Parlour* A Case Study In The History Of Agricultural
List of British innovations and discoveries
List_of_British_innovations_and_discoveries
King of Macedon from 336 to 323 BC
Through his conquests, he built a legacy that includes the cultural diffusion and syncretism, which gave rise to Greco-Buddhism and Hellenistic Judaism
Alexander_the_Great
Founding Father, U.S. president from 1801 to 1809
Hemings slaves in his will. During his presidency, Jefferson allowed the diffusion of slavery into the Louisiana Territory hoping to prevent slave uprisings
Thomas_Jefferson
List of biographical dictionaries and encyclopedias
Académie royale des sciences, des lettres et des beaux-arts de Belgique: Diffusion, P. Mardaga, 1988–2005. Delzenne, Yves-William, Jean Houyoux. Le nouveau
Bibliography of encyclopedias: general biographies
Bibliography_of_encyclopedias:_general_biographies
Phonetic process
Sound Change in Progress: a study of phonological change and lexical diffusion, with reference to glottalization and r-loss in the speech of some Exeter
Glottalization
Unit of length
"Weights & Measures, Standard". The Penny Cyclopædia of the Society for the Diffusion of Useful Knowledge. London, UK: Charles Knight & Co. p. 436. Judson,
Inch
Condition involving social and behavioral differences
likely to also be diagnosed, an effect the authors attributed to social diffusion of information about autism rather than a true rise in underlying prevalence;
Autism
Ancient Egyptian board game
Elizabeth (2015). "Game of Hounds and Jackals". In Oppenheim, Adela; Arnold, Dorothea; Arnold, Dieter; Yamamoto, Kei (eds.). Ancient Egypt Transformed, The Middle
Hounds_and_jackals
2001 French film
Arnold Barkus Ivan Martin Cinematography Laurent Brunet Edited by Tom Donahue Music by Vincent Segal Jean-Pierre Sluys Distributed by MK2 Diffusion Release
I_Am_Josh_Polonski's_Brother
artistic terminology, light refers to the point or center of luminous diffusion within a painting, or the illuminated areas in relation to the shadows
Light_in_painting
film) and reduces the incidence of diffuse radiation on it. The first diffusion radiation grid was developed in 1913 by Gustav Peter Bucky (1880-1963)
History of radiation protection
History_of_radiation_protection
Role of the Byzantine Empire in the Crusades
in 962, but the Holy Roman Empire remained politically fractured. The diffusion of authority in the West, amid endemic violence and instability, contributed
Byzantium in the Crusading movement
Byzantium_in_the_Crusading_movement
Distributed data store for digital transactions
word, blockchain, by 2016. According to Accenture, an application of the diffusion of innovations theory suggests that blockchains attained a 13.5% adoption
Blockchain
Tropical, edible, staple fruit
on the eve of Islam. The spread of Islam was followed by far-reaching diffusion. There are numerous references to it in Islamic texts (such as poems and
Banana
Overview of genetic research on Pleistocene epoch archaic and early modern humans"
history around the southeastern Mongolian Plateau traces Neolithic cultural diffusions in northern East Asia". The Innovation. 7 (1) 101186. doi:10.1016/j.xinn
Genetic history of Pleistocene humans
Genetic_history_of_Pleistocene_humans
Problem setup in machine learning
arXiv:1808.00136. Bibcode:2018arXiv180800136F. Wittmann, Bruce J.; Yue, Yisong; Arnold, Frances H. (2021). "Informed training set design enables efficient machine
Zero-shot_learning
Icelandic singer (born 1965)
was released in Iceland in December 1977. During her teens, after the diffusion of punk rock music in Iceland, Björk formed the all-girl punk band Spit
Björk
Body formed to establish Britain's nuclear policy
of nuclear reactors to produce plutonium at Windscale, and a gaseous diffusion plant to produce uranium-235 at Capenhurst. It took decisions on the administrative
Gen_75_Committee
independence from Spain in 1640, the Exhibition became a vehicle for the diffusion and legitimisation of the dictatorship's ideology and values in which
History_of_Lisbon
Branch of natural philosophy
complexity and obscurity of alchemical literature, and the 18th-century diffusion of remaining alchemical practitioners into the area of chemistry, the
Alchemy
Gowing & Arnold 1974b, pp. 194–196. Gowing & Arnold 1974a, p. 41. Gowing & Arnold 1974b, pp. 370–371. Gowing & Arnold 1974b, p. 386. Gowing & Arnold 1974b
Nuclear weapons of the United Kingdom
Nuclear_weapons_of_the_United_Kingdom
First printed editions of a manuscript
tradition de l'enseignement grammatical: étude sur l'Ars Donati et sa diffusion (IV. – IX. siècle) et édition critique (in French). Paris, FR: Centre
List of editiones principes in Latin
List_of_editiones_principes_in_Latin
One-piece stereo loudspeaker
system within a single 9-foot-wide (2.7 m) housing. It is based on a diffusion principle developed by Richard Ranger as consultant to JBL. Launched in
JBL_Paragon
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