While he is best known for the Kolmogorov – Arnold – Moser theorem regarding the stability of integrable Hamiltonian systems, he made important contributions in several areas including dynamical systems theory, catastrophe theory, topology, algebraic geometry, classical mechanics and singularity theory, including posing the ADE classification problem, since his first main result — the partial solution of Hilbert's thirteenth problem in 1957 at the age of 19.

While a student of Andrey Kolmogorov at Moscow State University and still a teenager, Arnold showed in 1957 that any continuous function of several variables can be constructed with a finite number of two-variable functions, thereby partially solving Hilbert's thirteenth problem.

While he studied Russian, he also studied computer translation of human languages at the Moscow State University in the Soviet Union in the school of Kolmogorov.

While the Ural – Altaic hypothesis can still be found in encyclopedias, atlases, and similar general references, it has not had any adherents in the linguistics community for decades.

While accompanying Mallowan on countless archaeological trips ( spending up to 3 – 4 months at a time in Syria and Iraq at excavation sites at Ur, Ninevah, Tell Arpachiyah, Chagar Bazar, Tell Brak, and Nimrud ), Christie not only wrote novels and short stories, but also contributed work to the archaeological sites, more specifically to the archaeological restoration and labeling of ancient exhibits which includes tasks such as cleaning and conserving delicate ivory pieces, reconstructing pottery, developing photos from early excavations which later led to taking photographs of the site and its findings, and taking field notes.

While the mechanism is not fully understood, it is likely to involve the production of electron – positron pairs, as ordinary matter gains tremendous energy while falling into a stellar remnant .< ref >

* Egg roll – While native Chinese spring rolls have a thin crispy skin with mushrooms, bamboo, and other vegetables inside, the Westernized version ( specifically the version found in such American Northeast metro areas as Boston and New York ) uses a thick, fried skin stuffed with cabbage and usually bits of meat or seafood ( such as pork or shrimp ), but no egg.

* 2003 – While being towed across the Barents Sea, the de-commissioned Russian submarine K-159 sinks, taking 9 of her crew and 800 kg of spent nuclear fuel with her.

While Zwingli was burning organs in Switzerland – Luther called him a fanatic – the Church of England was burning books of polyphony.

While services in the Temple in Jerusalem included musical instruments ( 2 Chronicles 29: 25 – 27 ), traditional Jewish religious services in the Synagogue, both before and after the destruction of the Temple, did not include musical instruments given the practice of scriptural cantillation.

* 1988: Short Form Music Video of the Year – " Stay For a While "

While controlled clinical trials of atypicals reported that extrapyramidal symptoms occurred in 5 – 15 % of patients, a study of bipolar disorder in a real world clinical setting found a rate of 63 %, questioning the generalizability of the trials.

While some software developers use the term ISO C, others are standards body – neutral and use Standard C.

While it was not the actual " Birthplace of Hip Hop " – the genre developed slowly in several places in the 1970s – it was verified to be the place where one of the pivotal and formative events occurred.

While only one net lane in each direction was added to the north – south I-93, several new east – west lanes were added to untangle the traffic.

While typical sports championship parades have been showered with some 50 tons of confetti and shredded paper, the V-J Day parade on August 14 and August 15, 1945 – marking the end of World War II – was covered with 5, 438 tons of paper, based on estimates provided by the New York City Department of Sanitation.

While diverse life forms prospered in the oceans, the land was comparatively barren – with nothing more complex than a microbial soil crust and a few forms that apparently emerged to browse on the microbial materials.

While this certificate has limited portability – to other corporations, for example – it is the most simple to develop.

While the use of face masks was not unheard-of – Y. A.

While the Rockies struggled to a 68 – 94 record — the second worst record in club history — the club's Triple-A affiliate, the Colorado Springs Sky Sox, went 78 – 65.

While they do sometimes live solitarily, they are more commonly found in groups that average 10 – 20 individuals, with two to four adult males, four to seven adult females and the rest juveniles.

While conducting a program of observations designed to uncover near-Earth objects, the Shoemakers and Levy discovered Comet Shoemaker – Levy 9 on the night of March 24, 1993 in a photograph taken with the Schmidt telescope at the Palomar Observatory in California.

While this was never a likely outcome, Smirnov was successful at securing the cooperation of a locally stationed Red Army unit ; as the conflict grew increasingly violent at the end of 1991 and into 1992, Red Army leaders and enlisted men, often themselves from Transnistria, gave moral support, weapons and ammunition to PMR separatists.

While rooted in rather different theories, these two traditions have been characterised by a constant reference to experimental research to test hypotheses, both at clinical and basic level.

While it may seem like a break time or a dance, the chamada is actually both a trap and a test, as the caller is just watching to see if the opponent will let his guard down so she can perform a takedown or a strike.

While the Browns ' on-field play in 1956 was uninspiring, off-the-field drama developed after a Cleveland-based inventor named George Sarles let Brown test a helmet with a radio transmitter inside.

While no earthquake or tsunami followed the test, the opposition grew when the U. S. announced they would detonate a bomb five times more powerful than the first one.

While small test programs existed since the development of programmable computers, the tradition of using the phrase " Hello, world!

While at the station the officer also asks the defendant to perform certain psycho-physical tests such as the walk and turn, one leg stand or finger to nose test.

While Burma's presence in ASEAN was seen as a test of the organisation's philosophy of constructive engagement, the presence of Burma in ASEAN however has started to be seen as an embarrassment to the organisation, because of Burma's human rights record and lack of democracy.

While some few pathogens are heat resistant, modern equipment is readily able to test and identify bacteria in milk being processed.

While the panel was not broken as a result of the test, the impact was enough to permanently deform a seal.

While India continued to state that the test was for peaceful purposes, it was shown opposition from many corners.

While these primarily test the riders endurance abilities, the ability to sprint effectively is also required in the Madison, Points Race and Scratch Race.

While it's true that the initial problems in the design may be tested by only five users, when the method is properly applied, the parts of the design that worked in that initial test will go on to be tested by 50 to 100 people.

While under the emperor's patronage, Josephus wrote that after the Roman Legio X Fretensis, accompanied by Vespasian, destroyed Jericho on 21 June 68, Vespasian took a group of Jews who could not swim ( possibly Essenes from Qumran ), fettered them, and threw them into the Dead Sea to test the sea's legendary buoyancy.

While sailing groups organize the most active and popular competitive yachting, other boating events are also held world-wide: speed motor boat racing ; competitive canoeing, kayaking, and rowing ; and navigational contests ( generally a test of celestial and landmark-based navigation skills where GPS and other electronic navigation equipment is disallowed ) are among the events which are organized around the world.

While the catalase test alone cannot identify a particular organism, combined with other tests, such as antibiotic resistance, it can aid identification.

:; Debugging: While writing an application, a programmer will recompile and test often, and so compilation must be fast.

While early ornithology was principally concerned with descriptions and distributions of species, ornithologists today seek answers to very specific questions, often using birds as models to test hypotheses or predictions based on theories.

While he was working on The Informer he was asked to test for a production being shot on a neighbouring stage.

* May 17, 1984: Des Moines, Iowa While students in a French class at Southeast Polk High School were taking a test in the hallway, a 17 year old boy shot and killed a 16 year old female student before firing a single shot into his own head, killing himself.

While this reasoning error often can produce a relatively good approximation of the correct hypothesis probability value, it can lead to a completely wrong result and wrong conclusion in case the base rate is very low and the reliability of the test is not perfect.

* While the power is on, in-circuit test, where physical measurements ( i. e. voltage, frequency ) can be done.

* While the power is on, functional test, just checking if the PCB does what it had been designed to do.

While all games are designed to test the performer's improvisational skill, some also test other skills, such as singing or doing impressions.