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Extensions of Some Parametric Families of D(16)-Triples [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2007
Let n be an integer. A set of m positive integers is called a D(n)-m-tuple if the product of any two of them increased by n is a perfect square. In this paper, we consider extensions of some parametric families of D(16)-triples. We prove that if {k−4,k+4,
Alan Filipin
doaj   +2 more sources

Novel extensions of k-harmonically convex functions and their applications in information science. [PDF]

open access: yesPLoS ONE
Convex analysis theory has found extensive applications in optimization, information science, and economics, leading to numerous generalizations of convex functions.
Asfand Fahad   +3 more
doaj   +2 more sources

Quantitative inheritance properties for simultaneous approximation by tensor product operators II: Applications

open access: yesJournal of Numerical Analysis and Approximation Theory, 2021
We summarize several general results concerning quantitative inheritance properties for simultaneous approximation by tensor product operators and apply these to various situations.
Laura Beutel, Heiner Gonska
doaj   +7 more sources

Parameterized Linear Temporal Logics Meet Costs: Still not Costlier than LTL [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2015
We continue the investigation of parameterized extensions of Linear Temporal Logic (LTL) that retain the attractive algorithmic properties of LTL: a polynomial space model checking algorithm and a doubly-exponential time algorithm for solving games. Alur
Martin Zimmermann
doaj   +1 more source

Symplectic Geometry Aspects of the Parametrically-Dependent Kardar–Parisi–Zhang Equation of Spin Glasses Theory, Its Integrability and Related Thermodynamic Stability

open access: yesEntropy, 2023
A thermodynamically unstable spin glass growth model described by means of the parametrically-dependent Kardar–Parisi–Zhang equation is analyzed within the symplectic geometry-based gradient–holonomic and optimal control motivated algorithms.
Anatolij K. Prykarpatski   +2 more
doaj   +1 more source

L-systems in Geometric Modeling [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2010
We show that parametric context-sensitive L-systems with affine geometry interpretation provide a succinct description of some of the most fundamental algorithms of geometric modeling of curves.
Przemyslaw Prusinkiewicz   +2 more
doaj   +1 more source

Choice modelling with Gaussian processes in the social sciences: A case study of neighbourhood choice in Stockholm. [PDF]

open access: yesPLoS ONE, 2018
We present a non-parametric extension of the conditional logit model, using Gaussian process priors. The conditional logit model is used in quantitative social science for inferring interaction effects between personal features and choice characteristics
Richard P Mann   +3 more
doaj   +1 more source

Generalized parabolic Marcinkiewicz integrals associated with polynomial compound curves with rough kernels

open access: yesDemonstratio Mathematica, 2020
In this article, we study the generalized parabolic parametric Marcinkiewicz integral operators ℳΩ,h,Φ,λ(r){ {\mathcal M} }_{{\Omega },h,{\Phi },\lambda }^{(r)} related to polynomial compound curves.
Ali Mohammed, Katatbeh Qutaibeh
doaj   +1 more source

Unimodality of Parametric Linear Programming Solutions and Efficient Quantile Estimation

open access: yesAppliedMath, 2023
For linear optimization problems with a parametric objective, so-called parametric linear programs (PLP), we show that the optimal decision values are, under few technical restrictions, unimodal functions of the parameter, at least in the two-degrees-of ...
Sara Mollaeivaneghi   +2 more
doaj   +1 more source

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