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Some notable mathematicians include Archimedes of Syracuse, Leonhard Euler, Carl Gauss, Johann Bernoulli, Jacob Bernoulli, Aryabhata, Brahmagupta, Bhaskara II, Nilakantha Somayaji, Omar Khayyám, Muhammad ibn Mūsā al-Khwārizmī, Bernhard Riemann, Gottfried Leibniz, Andrey Kolmogorov, Euclid of Alexandria, Jules Henri Poincaré, Srinivasa Ramanujan, Alexander Grothendieck, David Hilbert, Alan Turing, von Neumann, Kurt Gödel, Joseph-Louis Lagrange, Georg Cantor, William Rowan Hamilton, Carl Jacobi, Évariste Galois, Nikolay Lobachevsky, Rene Descartes, Joseph Fourier, Pierre-Simon Laplace, Alonzo Church, Nikolay Bogolyubov and Pierre de Fermat.
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Some of the more notable ones are:
Some notable historical groups formed along the way include Colgate University's The Colgate 13 ( 1942 ), Dartmouth College's Aires ( 1946 ), Cornell University's Cayuga's Waiters ( 1949 ) and The Hangovers ( 1968 ), the Columbia University Kingsmen ( 1949 ), the Jabberwocks of Brown University ( 1949 ), and the University of Rochester YellowJackets ( 1956 ).
Some of the more notable aerial battles in this period include the Battle of Britain and the Battle of Midway.
Some notable modern examples are Intel's SSE and the PowerPC-related AltiVec ( also known as VMX ).
Some notable collectors were Pope Boniface VIII, Emperor Maximilian of the Holy Roman Empire, Louis XIV of France, Ferdinand I, Henry IV of France and Elector Joachim II of Brandenburg, who started the Berlin Coin Cabinet ( German: Münzkabinett Berlin ).
Some notable Columbia alumni that have gone on to work in film include directors Sidney Lumet ( 12 Angry Men ) and Kathryn Bigelow ( The Hurt Locker ), screenwriters Howard Koch ( Casablanca ) and Joseph L. Mankiewicz ( All About Eve ), and actors James Cagney and Ed Harris.
Some programming languages almost always use curried functions to achieve multiple arguments ; notable examples are ML and Haskell, where in both cases all functions have exactly one argument.
Some notable moments in the rivalry include Washington's victory over Dallas in the 1982 NFC Championship and the latter's 1989 win over the Redskins for their only victory that season.
Some of the notable environmentalists who have been active in lobbying for environmental protection include:
Some notable translations of the Enchiridion include:
Some notable Japanese films are Tokyo Story, Seven Samurai, Ugetsu, Tampopo, In the Realm of the Senses, and Godzilla.
Some of his more notable songs include " The Treaty ", " The Battle of the Kegs ", and " The New Roof, a song for Federal Mechanics ".
Some notable philosophers, such as Alasdair MacIntyre, have theorized freedom in terms of our social interdependence with other people.
Some of the most notable feminist science fiction works have illustrated these themes using utopias to explore a society in which gender differences or gender power imbalances do not exist, or dystopias to explore worlds in which gender inequalities are intensified, thus asserting a need for feminist work to continue.
Some notable operations include: the Chadian – Libyan conflict in 1969 – 72 ( the first time that the Foreign Legion was sent in operations after the Algerian War ), 1978 – 79, and 1983 – 87 ; Kolwezi in what is now the Democratic Republic of the Congo in May 1978 ; Rwanda in 1990 – 94 ; and the Côte d ' Ivoire ( the Ivory Coast ) in 2002 to the present.
Some notable observed features of galaxy structure ( including our own Milky Way ) that astronomers wish to explain with galactic formation theories include ( but are certainly not limited to ) the following:
Some, however, have been notable in their own right, such as Dame Alexandra Hasluck and Lady Casey.
Some of the most notable designers of German-style board games include:
Some of the more notable limitations of the original GLUT library include:
Some of the more notable dishes in Hakka cuisine are listed as follows:
Some notable pre-colonial states and societies in Africa include the Nok culture, Mali Empire, Ashanti Empire, Kingdom of Mapungubwe, Kingdom of Sine, Kingdom of Saloum, Kingdom of Baol, Kingdom of Zimbabwe, Kingdom of Kongo, Ancient Carthage, Numidia, Mauretania, the Aksumite Empire, the Ajuuraan State and the Adal Sultanate.
Some of the fastest CPU upgrade modules featured the IBM SLC / DLC family ( notable for its 16 kB L1 cache ), or even the Intel 486 itself.
Some notable portrayals include:
Some of the statement's more notable supporters are Rabbi Marc Angel, co-founder of The Rabbinic Fellowship ; Rabbi Shlomo Riskin, founder of Lincoln Square Synagogue, Efrat, and Ohr Torah Stone Institutions ; and Rabbi Avi Weiss, head of the Hebrew Institute of Riverdale, founder of Yeshivat Chovevei Torah and Yeshivat Maharat, and co-founder of The Rabbinic Fellowship.
Some of the other notable alumni and former teachers of the university are:
Some and mathematicians
Some mathematicians, especially in set theory, do not consider the sets and to be part of the relation, and therefore define a binary relation as being a subset of x, that is, just the graph.
Some of the mathematicians who were involved in the selection and presentation of the seven problems were Atiyah, Bombieri, Connes, Deligne, Fefferman, Milnor, Mumford, Wiles, and Witten.
Some even continue to this day to remain a challenge for mathematicians.
Some of the top mathematicians who were or are now permanent professors at the IHÉS include
Some prominent female mathematicians are Hypatia of Alexandria ( ca.
: Some of you may have met mathematicians and wondered how they got that way.
Some of these mathematicians were influential in arranging the Elements, that Euclid later published.
Some of the greatest physicists have also been creative mathematicians.
Some mathematicians, such as Carl Boyer, hold that Zeno's paradoxes are simply mathematical problems, for which modern calculus provides a mathematical solution.
Some mathematicians, therefore, do not recognize blackboard bold as a separate style from bold: Jean-Pierre Serre, for example, has publicly inveighed against the use of " blackboard bold " anywhere other than on a blackboard, and uses double-struck letters when writing bold on the blackboard, whereas his published works consistently use ordinary bold for the same symbols.
Some mathematicians hold opinions that amount to more nuanced versions of Platonism.
Some mathematicians independently made the related hypothesis ( sometimes incorrectly called the Chinese Hypothesis ) that p is a prime if and only if.
Some mathematicians as late as the sixteenth century continued to view halving as a separate operation, and it often continues to be treated separately in modern computer programming.
Some theories tend to focus on mathematical practice, and aim to describe and analyze the actual working of mathematicians as a social group.
Formally, Minkowski space is a four-dimensional real vector space equipped with a nondegenerate, symmetric bilinear form with signature < tt >(−,+,+,+)</ tt > ( Some may also prefer the alternative signature < tt >(+,−,−,−)</ tt >; in general, mathematicians and general relativists prefer the former while particle physicists tend to use the latter.
Some sources imply that the symbol was first used by Arabic mathematicians.
Some working mathematicians have espoused mathematical realism as they see themselves experiencing naturally-occurring objects.
Some mathematicians and scientists are critical of using closed source mathematical software such as Mathematica for mathematical proofs, because these do not provide transparency, and thus are not verifiable.
Some mathematicians define the Hessian as the determinant of the above matrix.
On 21 November 1930 the declaration of the “ initiative group ” of the Moscow Mathematical Society which consisted of former Luzin's students Lazar Lyusternik and Lev Shnirelman along with Alexander Gelfond and Lev Pontryagin claimed that “ there appeared active counter-revolutionaries among mathematicians .” Some of these mathematicians were pointed out, including the advisor of Luzin, Dmitri Egorov.
Some mathematicians and historians have wrongfully claimed that Lobachevsky in his studies in non-Euclidean geometry was influenced by Gauss, which is untrue-Gauss himself appreciated Lobachevsky's published works very highly, but they never had personal correspondence between them prior to the publication.
Some jokes are based on stereotypes of mathematicians tending to think in complicated, abstract terms, causing them to lose touch with the " real world ".
Some mathematicians objected to his methods of analysis founded on the infinitesimal calculus.
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