Results 11 to 20 of about 13,394,361 (202)
Binary positive semidefinite matrices and associated integer polytopes [PDF]
, 2012 We consider the positive semidefinite (psd) matrices with binary entries, along with the corresponding integer polytopes.We begin by establishing some basic properties of these matrices and polytopes.
Sorensen, M M, Letchford, A N
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Binary quadratic forms: modern developments [PDF]
In this work, we offer a historical stroll through the vast topic of binary quadratic forms. We begin with a quick review of their history and then an overview of contemporary algebraic developments on the subject.Dedicated to Athanase Papadopoulos for ...
Zeytin, Ayberk
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Invariants of binary forms [PDF]
, 2014 We work over the field of complex numbers. Consider the set V_n of binary forms of degree n, i.e., homogeneous polynomials of degree n in two variables. An invariant of V_n is a polynomial in the coefficients of a form in V_n whose value does not change ...
Popoviciu Draisma, Mihaela Ileana
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Cubic residues and binary quadratic forms [PDF]
, 2007 Let p>3 be a prime, u,v,d∈Z, gcd(u,v)=1, p∤u2−dv2 and (−3dp)=1, where (ap) is the Legendre symbol. In the paper we mainly determine the value of (u−vdu+vd)(p−(p3))/3(mod p) by expressing p in terms of appropriate binary quadratic forms.
Sun, Zhi-Hong
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Observer‐Based Adaptive Event‐Triggered Tracking Control for Fuzzy TS Systems With Premise Mismatch
International Journal of Adaptive Control and Signal Processing, EarlyView.This paper presents an adaptive logistic event‐triggered observer‐based tracking controller for Takagi‐Sugeno fuzzy systems under constrained inputs and network delays. Leveraging a hybrid LMI and Secretary Bird Optimization approach, this strategy significantly minimizes communication overhead and computational burden while ensuring optimal reference ...
Oussama Djadane +3 more
wiley +1 more source
Binary quadratic forms and genus theory [PDF]
, 2013 The study of binary quadratic forms arose as a natural generalization of questions about the integers posed by the ancient Greeks. A major milestone of understanding occurred with the publication of Gauss's Disquisitiones Arithmeticae in 1801 in which ...
NC DOCKS at The University of North Carolina at Greensboro +1 more
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dynoGP: Deep Gaussian Processes for Dynamic System Identification
International Journal of Adaptive Control and Signal Processing, EarlyView.This work introduces a novel class of deep models for system identification, dynamical deep Gaussian processes, which combine the strengths of data‐driven methods, such as those based on neural network architectures, with the ability to output a probability distribution for uncertainty representation.
Alessio Benavoli +3 more
wiley +1 more source
An algebraic approach to the Siegel-Weil average for binary quadratic forms [PDF]
, 2019 In this talk, we will consider the celebrated results of Siegel and Weil about the number of representations by the genus of a given positivedefinite integral quadratic form.
Kane, BR
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Quaternions and binary quadratic forms
, 1971 Methods are discussed for studying binary quadratic forms by use of quaternions derived from the ternary quadratic form f = x 2 − y z f = {x^2} - yz .
Bart Rice
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Advanced Engineering Materials, Volume 27, Issue 6, March 2025.The stability criteria affecting the formation of high‐entropy alloys, particularly focusing in supersaturated solid solutions produced by mechanical alloying, are analyzed. Criteria based on Hume–Rothery rules are distinguished from those derived from thermodynamic relations. The formers are generally applicable to mechanically alloyed samples.
Javier S. Blázquez +5 more
wiley +1 more source