Browsing Mathematics (Scholarly Articles) by Title

Now showing items 215-228 of 228

    • The Varchenko determinant of a Coxeter arrangement 

      Pfeiffer, Götz; Randriamaro, Hery (De Gruyter, 2018)
      The Varchenko determinant is the determinant of a matrix defined from an arrangement of hyperplanes. Varchenko proved that this determinant has a beautiful factorization. It is, however, not possible to use this factorization ...

    • Vertex algebras according to Isaac Newton 

      Tuite, Michael P. (IOP Publishing, 2017-09-08)
      We give an introduction to vertex algebras using elementary forward difference methods originally due to Isaac Newton.

    • Vertex Operators and Modular Forms 

      Mason, Geoffrey; Tuite, Michael P. (2009)
      The leitmotif of these Notes is the idea of a vertex operator algebra (VOA) and the relationship between VOAs and elliptic functions and modular forms. This is to some extent analogous to the relationship between a finite ...

    • The Virasoro Algebra and Some Exceptional Lie and Finite Groups 

      Tuite, Michael P. (2006)
      We describe a number of relationships between properties of the vacuum Verma module of a Virasoro algebra and the automorphism group of certain vertex operator algebras. These groups include the Deligne exceptional series ...

    • Virasoro Correlation Functions for Vertex Operator Algebras 

      Hurley, Donny; Tuite, Michael P. (2011)
      We consider all genus zero and genus one correlation functions for the Virasoro vacuum descendants of a vertex operator algebra. These are described in terms of explicit generating functions that can be combinatorially ...

    • A wave near the edge of a circular disk 

      Destrade, Michel (2008)
      It is shown that in the Love-Kirchhoff plate theory, an edge wave can travel in a circular thin disk made of an isotropic elastic material. This disk edge wave turns out to be faster than the classic flexural acoustic wave ...

    • A Weibull-count approach for handling under- and overdispersed longitudinal/clustered data structures 

      Luyts, Martial; Molenberghs, Geert; Verbeke, Geert; Matthijs, Koen; Ribeiro Jr, Eduardo E.; Demétrio, Clarice G. B.; Hinde, John (SAGE Publications, 2018-07-30)
      A Weibull-model-based approach is examined to handle under- and overdispersed discrete data in a hierarchical framework. This methodology was first introduced by Nakagawa and Osaki (1975, IEEE Transactions on Reliability, ...

    • Weierstrass's criterion and compact solitary waves 

      Destrade, Michel (American Physical Society, 2007-04-17)
      Weierstrass's theory is a standard qualitative tool for single degree of freedom equations, used in classical mechanics and in many textbooks. In this Brief Report we show how a simple generalization of this tool makes it ...

    • The weighted fusion category algebra and the $q$-Schur algebra for $\rm GL_2(q)$ 

      Park, Sejong (ScienceDirect, 2008-01)
      [no abstract available]

    • Wrinkles and creases in the bending, unbending and eversion of soft sectors 

      Sigaeva, Taisiya; Mangan, Robert; Vergori, Luigi; Destrade, Michel; Sudak, Les (The Royal Society, 2018-03-23)
      We study what is clearly one of the most common modes of deformation found in nature, science and engineering, namely the large elastic bending of curved structures, as well as its inverse, unbending, which can be brought ...

    • Wrinkles in soft dielectric plates 

      Su, Yipin; Conroy Broderick, Hannah; Chen, Weiqiu; Destrade, Michel (Elsevier, 2018-07-04)
      We show that a smooth giant voltage actuation of soft dielectric plates is not easily obtained in practice. In principle one can exploit, through pre-deformation, the snap-through behavior of their loading curve to deliver ...

    • Wrinkles in the opening angle method 

      Destrade, Michel; Lusetti, Irene; Mangan, Robert; Sigaeva, Taisiya (Elsevier, 2017-06-10)
      We investigate the stability of the deformation modeled by the opening angle method, often used to give a measure of residual stresses in arteries and other biological soft tubular structures. Specifically, we study the ...

    • Wrinkling of soft magneto-active plates 

      Wu, Bin; Destrade, Michel (Elsevier, 2020-11-03)
      Coupled magneto-mechanical wrinkling has appeared in many scenarios of engineering and biology. Hence, soft magneto-active (SMA) plates buckle when subject to critical uniform magnetic field normal to their wide surface. ...

    • Zhu reduction for Jacobi n-point functions and applications 

      Tuite, Michael P.; Krauel, Matthew; Bringmann, Kathrin (2017-06-23)
      We establish precise Zhu reduction formulas for Jacobi n-point functions which show the absence of any possible poles arising in these formulas. We then exploit this to produce results concerning the structure of strongly ...