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Dmitry Konstantinovich Faddeev
Dmitry Konstantinovich Faddeev ( rus, Дми́трий Константи́нович Фадде́ев, , ˈdmʲitrʲɪj kənstɐnʲˈtʲinəvʲɪtɕ fɐˈdʲe(j)ɪf; 30 June 1907 – 20 October 1989) was a Soviet mathematician. Biography Dmitry was born June 30, 1907, about 200 kilometers southwest of Moscow on his father's estate. His father Konstantin Tikhonovich Faddeev was an engineer while his mother was a doctor and appreciator of music who instilled the love for music in Dmitry. Friends found his piano playing entertaining. In 1928 he graduated from Petrograd State University, as it was then called. His teachers included Ivan Matveyevich Vinogradov and Boris Delone, Boris Nicolaevich Delone. In 1930 he married Vera Faddeeva, Vera Nicolaevna Zamyatina (Faddeeva). They had three children, including the mathematical physicist Ludvig Faddeev. Dmitry Faddeev's students included Mark Bashmakov (:ru:Башмаков,_Марк_Иванович, ru), Zenon Borevich, Lyudmyla Nazar ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Piano
A piano is a keyboard instrument that produces sound when its keys are depressed, activating an Action (music), action mechanism where hammers strike String (music), strings. Modern pianos have a row of 88 black and white keys, tuned to a chromatic scale in equal temperament. A musician who specializes in piano is called a pianist. There are two main types of piano: the #Grand, grand piano and the #Upupright piano. The grand piano offers better sound and more precise key control, making it the preferred choice when space and budget allow. The grand piano is also considered a necessity in venues hosting skilled pianists. The upright piano is more commonly used because of its smaller size and lower cost. When a key is depressed, the strings inside are struck by felt-coated wooden hammers. The vibrations are transmitted through a Bridge (instrument), bridge to a Soundboard (music), soundboard that amplifies the sound by Coupling (physics), coupling the Sound, acoustic energy t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Characteristic Polynomial
In linear algebra, the characteristic polynomial of a square matrix is a polynomial which is invariant under matrix similarity and has the eigenvalues as roots. It has the determinant and the trace of the matrix among its coefficients. The characteristic polynomial of an endomorphism of a finite-dimensional vector space is the characteristic polynomial of the matrix of that endomorphism over any basis (that is, the characteristic polynomial does not depend on the choice of a basis). The characteristic equation, also known as the determinantal equation, is the equation obtained by equating the characteristic polynomial to zero. In spectral graph theory, the characteristic polynomial of a graph is the characteristic polynomial of its adjacency matrix. Motivation In linear algebra, eigenvalues and eigenvectors play a fundamental role, since, given a linear transformation, an eigenvector is a vector whose direction is not changed by the transformation, and the correspondi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1989 Deaths
1989 was a turning point in political history with the " Revolutions of 1989" which ended communism in Eastern Bloc of Europe, starting in Poland and Hungary, with experiments in power-sharing coming to a head with the opening of the Berlin Wall in November, the Velvet Revolution in Czechoslovakia and the overthrow of the communist dictatorship in Romania in December; the movement ended in December 1991 with the dissolution of the Soviet Union. Revolutions against communist governments in Eastern Europe mainly succeeded, but the year also saw the suppression by the Chinese government of the 1989 Tiananmen Square protests in Beijing. It was the year of the first Brazilian direct presidential election in 29 years, since the end of the military government in 1985 that ruled the country for more than twenty years, and marked the redemocratization process's final point. F. W. de Klerk was elected as State President of South Africa, and his regime gradually dismantled th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1907 Births
Events January * January 14 – 1907 Kingston earthquake: A 6.5 Mw earthquake in Kingston, Jamaica, kills between 800 and 1,000. February * February 9 – The " Mud March", the first large procession organised by The National Union of Women's Suffrage Societies ( NUWSS), takes place in London. * February 11 – The French warship ''Jean Bart'' sinks off the coast of Morocco. * February 12 – The steamship ''Larchmont'' collides with the ''Harry Hamilton'' in Long Island Sound; 183 lives are lost. * February 16 – SKF, a worldwide mechanical parts manufacturing brand (mainly, bearings and seals), is founded in Gothenburg, Sweden. * February 21 – The English mail steamship ''Berlin'' is wrecked off the Hook of Holland; 142 lives are lost. * February 24 – The Austrian Lloyd steamship ''Imperatrix'', from Trieste to Bombay, is wrecked on Cape of Crete and sinks; 137 lives are lost. March * March ** The steamship ''Congo'' collide ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Russian Academy Of Sciences
The Russian Academy of Sciences (RAS; ''Rossíyskaya akadémiya naúk'') consists of the national academy of Russia; a network of scientific research institutes from across the Russian Federation; and additional scientific and social units such as libraries, publishing units, and hospitals. Peter the Great established the academy (then the St. Petersburg Academy of Sciences) in 1724 with guidance from Gottfried Wilhelm Leibniz, Gottfried Leibniz. From its establishment, the academy benefitted from a slate of foreign scholars as professors; the academy then gained its first clear set of goals from the 1747 Charter. The academy functioned as a university and research center throughout the mid-18th century until the university was dissolved, leaving research as the main pillar of the institution. The rest of the 18th century continuing on through the 19th century consisted of many published academic works from Academy scholars and a few Academy name changes, ending as The Imperial ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Saint Petersburg Mathematical Society
The Saint Petersburg Mathematical Society () is a mathematical society run by Saint Petersburg mathematicians. Historical notes The St. Petersburg Mathematical Society was founded in 1890 and was the third founded mathematical society in Russia after those of Moscow (1867) and Khar'kov (1879)... Its founder and first president was Vasily Imshenetskii, who also had founded earlier the Khar'kov Mathematical Society. The Society was dissolved and subsequently revived twice, each time changing its name, sometime in between 1905 and 1917, the society ceased to function and by 1917 it had completely dissolved, perhaps due to the social agitations that destroyed many existing Russian scientific institutions. It was re-established by the initiative of Alexander Vasilyev in 1921 as the Petrograd Physical and Mathematical Society (subsequently called the Leningrad Physical and Mathematical Society). In 1930, the self-dissolution of the society was due to political reasons. Before the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Russian Mathematical Surveys
''Uspekhi Matematicheskikh Nauk'' () is a Russian mathematical journal, published by the Russian Academy of Sciences and Moscow Mathematical Society and translated into English as ''Russian Mathematical Surveys''. ''Uspekhi Matematicheskikh Nauk'' was founded in 1936, with Lazar Lyusternik as its editor-in-chief. Initially, it appeared irregularly, with issues devoted to specific topics within mathematics together with non-research articles about the work of different mathematical institutes in Russia and abroad. Its third issue, in 1937, was devoted to attacks on Nikolai Luzin, but in an anniversary issue 24 years later this politicization of the journal was downplayed. After a hiatus for World War II, the journal began publishing on a regular schedule in 1946. Its translation, ''Russian Mathematical Surveys'', began in 1960 and since 1997 has been published jointly by the London Mathematical Society, Turpion Ltd, and the Russian Academy of Sciences. Archives of the Russian orig ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Faddeev–LeVerrier Algorithm
In mathematics (linear algebra), the Faddeev–LeVerrier algorithm is a recursive method to calculate the coefficients of the characteristic polynomial p_A(\lambda)=\det (\lambda I_n - A) of a square matrix, , named after Dmitry Konstantinovich Faddeev and Urbain Le Verrier. Calculation of this polynomial yields the eigenvalues of as its roots; as a matrix polynomial in the matrix itself, it vanishes by the Cayley–Hamilton theorem. Computing the characteristic polynomial directly from the definition of the determinant is computationally cumbersome insofar as it introduces a new symbolic quantity \lambda; by contrast, the Faddeev-Le Verrier algorithm works directly with coefficients of matrix A. The algorithm has been independently rediscovered several times in different forms. It was first published in 1840 by Urbain Le Verrier, subsequently redeveloped by P. Horst, Jean-Marie Souriau, in its present form here by Faddeev and Sominsky, and further by J. S. Frame, and others ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Soviet Student Olympiads
Soviet Student Olympiad was an annual set of contests for students in the USSR. There were two separate multi-round competitions every year: for higher education (universities) and general education (starting from 7th to 10th/11th grade). Both competitions had several rounds, and winners from lower rounds would go to the next round. Not only individual members, but teams were awarded too. The main difference between two Olympiads was that the school one had separate threads for every grade, while the university one was for all students. Contest format Both Olympiads had the same format of the contests. Students would come in teams representing their location, e.g. schools or republics. Each contest could have 2-3 parts. For instance, the Republican round of University Olympiads on physics could have three parts: theory, lab and computer modeling. All students were given the same set of problems to solve. They would work on solutions strictly individually - no teamwork was allowe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Exercise
A mathematical exercise is a routine application of algebra or other mathematics to a stated challenge. Mathematics teachers assign mathematical exercises to develop the skills of their students. Early exercises deal with addition, subtraction, multiplication, and division of integers. Extensive courses of exercises in school extend such arithmetic to rational numbers. Various approaches to geometry have based exercises on relations of angles, segments, and triangles. The topic of trigonometry gains many of its exercises from the trigonometric identities. In college mathematics exercises often depend on functions of a real variable or application of theorems. The standard exercises of calculus involve finding derivatives and integrals of specified functions. Usually instructors prepare students with worked examples: the exercise is stated, then a model answer is provided. Often several worked examples are demonstrated before students are prepared to attempt exercises on their ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
