108,153 research outputs found

    Joshua Davis: Author of Spare Parts

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    Citation: K-State First (2016). Joshua Davis: Author of Spare Parts [Flier]. Manhattan, Kansas: K-State First.Flyer advertising Joshua Davis's author talk at Kansas State University

    Equivariant elliptic cohomology and twisted equivariant k-theory

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    Equivariant elliptic cohomology and twisted equivariant K-theory are both related to the representations of loop groups. After making these relationships precise, we propose a map from twisted equivariant elliptic cohomology to twisted K-theory of the inertia stack using equivariant de Rham models. This proposal agrees with the Freed-Hopkins-Teleman q = 1 map from characters of representations of loop groups to distributions associated to twisted equivariant K-theory classes.Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2021-08-01The student, Dileep Menon, accepted the attached license on 2019-05-24 at 15:54.The student, Dileep Menon, submitted this Dissertation for approval on 2019-05-24 at 16:06.This Dissertation was approved for publication on 2019-05-28 at 10:50.DSpace SAF Submission Ingestion Package generated from Vireo submission #13991 on 2019-11-26 at 13:00:58Made available in DSpace on 2019-11-26T20:49:00Z (GMT). No. of bitstreams: 4 MENON-DISSERTATION-2019.pdf: 528838 bytes, checksum: fbe8f9b0e3bd2fbc0c4e207d94ba6cdd (MD5) thesis-ex.tex: 116427 bytes, checksum: 1eb2193b9661caa6b07eb1f864882e78 (MD5) thesisbib.bib: 7057 bytes, checksum: 2f604815e6b22de4a7bd0bec92caf53a (MD5) LICENSE.txt: 4209 bytes, checksum: ef4b73600b176b70c7c9713536cda315 (MD5) Previous issue date: 2019-05-28Embargo set by: Seth Robbins for item 112889 Lift date: 2021-11-26T20:49:41Z Reason: Author requested U of Illinois access only (OA after 2yrs) in Vireo ETD systemU of I Only Restriction Lifted for Item 112889 on 2021-11-27T10:15:09Z

    M. G. K. Menon (1928–2016)

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    Mambillikalathil Govind Kumar Menon (MGK or Goku to friends) passed away peacefully on 22 November 2016 at his residence in New Delhi, India. He was 88 years old. Menon made pioneering contributions to particle physics and successfully implemented a grand vision for the scientific and technological growth of India

    Steven Johnson Author Talk Poster

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    K-State Book NetworkA poster advertising an author talk by Steven Johnson at Kansas State University on September 3, 2014. Steven Johnson's book "The Ghost Map" was the 2014-2015 common book

    A Nonexistence Result for Abelian Menon Difference Sets Using Perfect Binary Arrays

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    A Menon difference set has the parameters (4N2, 2N2-N, N2-N). In the abelian case it is equivalent to a perfect binary array, which is a multi-dimensional matrix with elements ±1 such that all out-of-phase periodic autocorrelation coefficients are zero. Suppose that the abelian group H×K×Zpα contains a Menon difference set, where p is an odd prime, |K|=pα, and pj≡−1 (mod exp (H)) for some j. Using the viewpoint of perfect binary arrays we prove that K must be cyclic. A corollary is that there exists a Menon difference set in the abelian group H×K×Z3α, where exp (H)=2 or 4 and |K|=3α, if and only if K is cyclic

    A Menon-type identity using Klee's function

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    summary:Menon's identity is a classical identity involving gcd sums and the Euler totient function ϕ\phi . A natural generalization of ϕ\phi is the Klee's function Φs\Phi _s. We derive a Menon-type identity using Klee's function and a generalization of the gcd function. This identity generalizes an identity given by Y. Li and D. Kim (2017)

    Comparisons of Two Integral Inequalities with Hermite-Hadamard-Jensen's Integral Inequality

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    Certain comparisons of Iyengar-Mahajani’s and Kesava Menon’s integral inequalities with Hermite-Hadamard-Jensen’s integral inequalities are considered and some mistakes in the paper [On certain inequalities by Iyengar and Kesava Menon, Octogon Math. Mag. 4 (1996), no. 1, 9–11.] are corrected. Some applications of these inequalities to elementary functions are carried out and several inequalities involving mean values are obtained

    Matrices which commute with Menon operators

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    If A is a nonnegative square matrix and X is a vector, then the Menon operator associated with A, denoted by TA, is defined by (TAX)i = (n/sigma over j=1 (A) ji (n/sigma over k=1 (A) jk (X)k)-1)-1. A close relation 18 known to exist between doubly stochastic matrices and Menon operators. The following problem is investigated: If each of E and F is a matrix, when is ETAF a Menon operator? It is conjectured, but not proven, that if A is a nonnegative square matrix satisfying certain criterion, and each of E and F is a nonnegative matrix such that ETAF is a Menon operator, then each of E and F is the product of a diagonal matrix with positive diagonal and a permutatibn matrix. This conjecture is supported by examples, and also by theorems which show that if A is doubly stochastic and ETA = TAE then either there is a number r such that rE is doubly stochastic or there is a permutation matrix P such that PtEP can be partitijned into a certain block form. A condition is defined on a doubly stochastic matrix which implies that ETA=TAE if and only if there is a number r such that rE is a permutation matrix.Mathematics, Department o

    Selected speeches and writings of M G K Menon

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