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Subbaramiah Minakshisundaram
Subbaramiah Minakshisundaram (12 October 1913, Trichur – 13 August 1968, Kerala) was an Indian mathematician who worked on heat kernel In the mathematical study of heat conduction and diffusion, a heat kernel is the fundamental solution to the heat equation on a specified domain with appropriate boundary conditions. It is also one of the main tools in the study of the spectru ...s and parabolic partial differential equations and introduced the Minakshisundaram–Pleijel zeta function. Publications * References * * * External links S. Minakshisundaram memorial society 1913 births 1968 deaths 20th-century Indian mathematicians Scientists from Kerala {{Asia-mathematician-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Heat Kernel
In the mathematical study of heat conduction and diffusion, a heat kernel is the fundamental solution to the heat equation on a specified domain with appropriate boundary conditions. It is also one of the main tools in the study of the spectrum of the Laplace operator, and is thus of some auxiliary importance throughout mathematical physics. The heat kernel represents the evolution of temperature in a region whose boundary is held fixed at a particular temperature (typically zero), such that an initial unit of heat energy is placed at a point at time ''t'' = 0. ] The most well-known heat kernel is the heat kernel of ''d''-dimensional Euclidean space R''d'', which has the form of a time-varying Gaussian function, :K(t,x,y) = \exp\left(t\Delta\right)(x,y) = \frac e^\qquad(x,y\in\mathbb^d,t>0)\, This solves the heat equation :\frac(t,x,y) = \Delta_x K(t,x,y)\, for all ''t'' > 0 and ''x'',''y'' ∈ R''d'', where Δ is the Laplace operator, with the i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Minakshisundaram–Pleijel Zeta Function
The Minakshisundaram–Pleijel zeta function is a zeta function encoding the eigenvalues of the Laplacian of a compact Riemannian manifold. It was introduced by . The case of a compact region of the plane was treated earlier by . Definition For a compact Riemannian manifold ''M'' of dimension ''N'' with eigenvalues \lambda_1, \lambda_2, \ldots of the Laplace–Beltrami operator \Delta, the zeta function is given for \operatorname(s) sufficiently large by : Z(s) = \mbox(\Delta^) = \sum_^ \vert \lambda_ \vert^. (where if an eigenvalue is zero it is omitted in the sum). The manifold may have a boundary, in which case one has to prescribe suitable boundary conditions, such as Dirichlet or Neumann boundary conditions. More generally one can define : Z(P, Q, s) = \sum_^ \frac for ''P'' and ''Q'' on the manifold, where the f_n are normalized eigenfunctions. This can be analytically continued to a meromorphic function of ''s'' for all complex ''s'', and is holomorphic for P\ne Q. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Canadian Journal Of Mathematics
The ''Canadian Journal of Mathematics'' (french: Journal canadien de mathématiques) is a bimonthly mathematics journal published by the Canadian Mathematical Society. It was established in 1949 by H. S. M. Coxeter and G. de B. Robinson. The current editors-in-chief of the journal are Louigi Addario-Berry and Eyal Goren. The journal publishes articles in all areas of mathematics. See also * Canadian Mathematical Bulletin The ''Canadian Mathematical Bulletin'' (french: Bulletin Canadien de Mathématiques) is a mathematics journal, established in 1958 and published quarterly by the Canadian Mathematical Society. The current editors-in-chief of the journal are Antoni ... References External links * University of Toronto Press academic journals Mathematics journals Publications established in 1949 Bimonthly journals Multilingual journals Cambridge University Press academic journals Academic journals associated with learned and professional societies of Canada ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ramanujan Institute For Advanced Study In Mathematics
Ramanujan Institute for Advanced Study in Mathematics (RIASM) is the Department of Mathematics of University of Madras. This name was adopted in 1967. History The University of Madras was incorporated in 1857 and the Department of Mathematics was an integral part of the university from its beginning. The department developed from its early years to become a centre of research in mathematics with the appointment of R. Vaidyanathaswamy as a Reader in Mathematics in 1927. The seeds of the Ramanujan Institute for Advanced Study in Mathematics were sown when the "Ramanujan Institute of Mathematics" was established by Alagappa Chettiar on 26 January 1950 as a memorial to the mathematician Srinivasa Ramanujan. It was governed by the Asoka Charitable Trust, Karaikudi, and was located at Krishna Vilas, Vepery, Chennai. The Ramanujan Institute of Mathematics was inaugurated by A. Lakshmanaswamy Mudaliar, Vice Chancellor of University of Madras, with T. Vijayaraghavan, a student of G.H. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1913 Births
Events January * January 5 – First Balkan War: Battle of Lemnos – Greek admiral Pavlos Kountouriotis forces the Turkish fleet to retreat to its base within the Dardanelles, from which it will not venture for the rest of the war. * January 13 – Edward Carson founds the (first) Ulster Volunteer Force, by unifying several existing loyalist militias to resist home rule for Ireland. * January 23 – 1913 Ottoman coup d'état: Ismail Enver comes to power. * January – Stalin (whose first article using this name is published this month) travels to Vienna to carry out research. Until he leaves on February 16 the city is home simultaneously to him, Hitler, Trotsky and Tito alongside Berg, Freud and Jung and Ludwig and Paul Wittgenstein. February * February 1 – New York City's Grand Central Terminal, having been rebuilt, reopens as the world's largest railroad station. * February 3 – The 16th Amendment to the United S ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1968 Deaths
The year was highlighted by protests and other unrests that occurred worldwide. Events January–February * January 5 – " Prague Spring": Alexander Dubček is chosen as leader of the Communist Party of Czechoslovakia. * January 10 – John Gorton is sworn in as 19th Prime Minister of Australia, taking over from John McEwen after being elected leader of the Liberal Party the previous day, following the disappearance of Harold Holt. Gorton becomes the only Senator to become Prime Minister, though he immediately transfers to the House of Representatives through the 1968 Higgins by-election in Holt's vacant seat. * January 15 – The 1968 Belice earthquake in Sicily kills 380 and injures around 1,000. * January 21 ** Vietnam War: Battle of Khe Sanh – One of the most publicized and controversial battles of the war begins, ending on April 8. ** 1968 Thule Air Base B-52 crash: A U.S. B-52 Stratofortress crashes in Greenland, discharging 4 nuclear bombs. * ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
