Results 31 to 40 of about 434,965 (273)
Yang-Mills theories and quadratic forms [PDF]
, 2015 We show that the Hamiltonian of (N=1;d=10) super Yang-Mills can be expressed as a quadratic form in a very similar manner to that of the (N=4;d=4) theory.
Ananth, Sudarshan +2 more
core +2 more sources
Heights and quadratic forms: on Cassels' theorem and its generalizations [PDF]
, 2012 In this survey paper, we discuss the classical Cassels' theorem on existence of small-height zeros of quadratic forms over Q and its many extensions, to different fields and rings, as well as to more general situations, such as existence of totally ...
Fukshansky, Lenny
core +2 more sources
Group and round quadratic forms
, 2017 We offer some elementary characterisations of group and round quadratic forms. These characterisations are applied to establish new (and recover existing) characterisations of Pfister forms. We establish "going-up" results for group and anisotropic round
O'Shea, James
core +1 more source
A note on concentration for polynomials in the Ising model [PDF]
, 2018 We present precise multilevel exponential concentration inequalities for polynomials in Ising models satisfying the Dobrushin condition. The estimates have the same form as two-sided tail estimates for polynomials in Gaussian variables due to Lata{\l}a ...
Adamczak, Radosław +3 more
core +3 more sources
Representations of an integer by some quaternary and octonary quadratic forms
, 2017 In this paper we consider certain quaternary quadratic forms and octonary quadratic forms and by using the theory of modular forms, we find formulae for the number of representations of a positive integer by these quadratic forms.Comment: 20 pages, 4 ...
A Alaca +28 more
core +1 more source
State Space Modeling with Non-Negativity Constraints Using Quadratic Forms
Mathematics, 2021 State space model representation is widely used for the estimation of nonobservable (hidden) random variables when noisy observations of the associated stochastic process are available.
Ourania Theodosiadou, George Tsaklidis
doaj +1 more source
Rings and ideals parametrized by binary n-ic forms [PDF]
, 2010 The association of algebraic objects to forms has had many important applications in number theory. Gauss, over two centuries ago, studied quadratic rings and ideals associated to binary quadratic forms, and found that ideal classes of quadratic rings ...
Wood, Melanie Matchett
core +1 more source
Revstat Statistical Journal, 2013 This paper provides an accessible methodology for approximating the distribution of a general linear combination of non-central chi-square random variables. Attention is focused on the main application of the results, namely the distribution of positive
Hyung-Tae Ha
doaj +1 more source
On certain relations among the generating functions for certain quadratic forms [PDF]
Notes on Number Theory and Discrete MathematicsThe object of this article is to establish the relation between the generating function of the quadratic form 2m²+2mn+3n² and the generating functions for the quadratic forms m²+mn+n², m²+mn+2n², m²+mn+4n² and 2m²+mn+2n².
K. R. Vasuki, P. Nagendra
doaj +1 more source
Intersecting semi-disks and the synergy of three quadratic forms
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this paper, we study the Diophantine equation x2 = n2 + mn + np + 2mp with m, n, p, and x being natural numbers. This equation arises from a geometry problem and it leads to representations of primes by each of the three quadratic forms: a2 + b2, a2 +
Ionaşcu Andrew D.
doaj +1 more source