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Quadratic Extensions

open access: yesFormalized Mathematics, 2021
Summary In this article we further develop field theory [6], [7], [12] in Mizar [1], [2], [3]: we deal with quadratic polynomials and quadratic extensions [5], [4]. First we introduce quadratic polynomials, their discriminants and prove the midnight formula. Then we show that - in case the discriminant of
Schwarzweller, Christoph   +1 more
openaire   +4 more sources

Convex hull of two quadratic or a conic quadratic and a quadratic inequality [PDF]

open access: yesMathematical Programming, 2016
This paper contributes to extending the development of strong valid inequalities to mixed integer conic quadratic programming. The analyis is based on results on the convex hull of open sets defined by two strict non-homogenuous quadratic inequalities in the reference [\textit{U. Yildiran}, IMA J. Math. Control Inf. 26, No.
Modaresi, Sina   +1 more
openaire   +5 more sources

Quadratic and Quasi-Quadratic Functionals [PDF]

open access: yesProceedings of the American Mathematical Society, 1993
In this note we show how Jordan ∗ {\ast }
openaire   +1 more source

Quadratic Auto-Step Least Mean Square Equalization for High-Data-Rate IR-UWB Wireless Communication Systems

open access: yesIEEE Access, 2022
High-data-rate impulse radio ultra-wideband (IR-UWB) wireless communication system suffers from serious intersymbol interference (ISI) issues in an indoor multipath environment.
Gang Wang, Min Lin, Qianyun Liu
doaj   +1 more source

Analysis of fractional hybrid differential equations with impulses in partially ordered Banach algebras

open access: yesNonlinear Analysis, 2021
In this paper, we investigate a class of fractional hybrid differential equations with impulses, which can be seen as nonlinear differential equations with a quadratic perturbation of second type and a linear perturbation in partially ordered Banach ...
Jin You, Zhenlai Han
doaj   +1 more source

Note on the quadratic character of a quadratic unit [PDF]

open access: yesPacific Journal of Mathematics, 1981
1Φ Introduction* Let m be a positive squarefree integer, and let em denote the fundamental integral unit of the real quadratic field Q(λ/m), so that em = T + £Λ/m with positive integers T and U. Throughout, it is assumed that em has norm — 1, so that m = 1, 5 or 2(mod8), and all odd primes q dividing m satisfy q == I(mod4).
Buell, Duncan A.   +2 more
openaire   +3 more sources

When Flexible Forms Are Asked to Flex Too Much

open access: yesJournal of Agricultural and Resource Economics, 1994
Taylor series-based flexible forms cannot be interpreted as Taylor series approximations unless all data used in estimation lie in a region of convergence.
Paul J. Driscoll
doaj   +1 more source

Quadratic boosting

open access: yesPattern Recognition, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pham, T.V., Smeulders, A.W.M.
openaire   +6 more sources

A New Non Quadratic Algorithm for Solving Non-Linear Optimization Problems [PDF]

open access: yesKirkuk Journal of Science, 2011
This paper proposes a new algorithm for non-linear optimization to modify and develop the conjugate gradient (CG) methods and to obtain a strong global convergence. This algorithm is derived and evaluated numerically against the standard (P/R and H/S)-CG
Adham A. Ali
doaj   +1 more source

Identical equations for multiplicative functions [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
We examine identical equations for multiplicative functions and certain special cases, such as totients and quadratics. We confine ourselves to identical equations expressing the value f(mn) (or the value f(m)f(n)) nontrivially in terms of the values f(m/
Pentti Haukkanen
doaj   +1 more source

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