Results 81 to 90 of about 616,982 (218)
Journal of Multi-Criteria Decision Analysis, Volume 32, Issue 3, December 2025.ABSTRACT In proton therapy treatment planning, the aim is to ensure tumour control while sparing the various surrounding risk structures. The biological effect of the irradiation depends on both physical dose and linear energy transfer (LET). In order to include LET alongside physical dose in plan creation, we propose to formulate the proton treatment ...
Mara Schubert, Katrin Teichert
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THE INEQUALITIES OF HELDER AND MINKOVSKY AND THEIR GENERALIZATIONS
Фізико-математична освітаFormulation of the Problem. A large amount of mathematical literature is devoted to classical inequalities. Helder's inequalities, a special case of which is the Cauchy-Buniakovsky inequality, as well as Minkowski's, which is a polygon inequality in a ...
Yuriy Bokhonov
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Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract We study convergence problems for the intermediate long wave (ILW) equation, with the depth parameter δ>0$\delta > 0$, in the deep‐water limit (δ→∞$\delta \rightarrow \infty$) and the shallow‐water limit (δ→0$\delta \rightarrow 0$) from a statistical point of view.
Guopeng Li, Tadahiro Oh, Guangqu Zheng
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Parameter Estimation in Nonlinear AR-GARCH Models [PDF]
This paper develops an asymptotic estimation theory for nonlinear autoregressive models with conditionally heteroskedastic errors. We consider a functional coefficient autoregression of order p (AR(p)) with the conditional variance specified as a general
Mika Meitz, Pentti Saikkonen
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Explicit height estimates for CM curves of genus 2
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract In this paper, we make explicit the constants of Habegger and Pazuki's work from 2017 on bounding the discriminant of cyclic Galois CM fields corresponding to genus 2 curves with CM and potentially good reduction outside a predefined set of primes. We also simplify some of the arguments.
Linda Frey +2 more
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Nonlinear AnalysisThe main aim of this article is to design a novel framework to study a generalized fractional integral operator that unifies two existing fractional integral operators.
Supriya Kumar Paul +2 more
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Recursive Relations for the S‐matrix of Liouville Theory
Fortschritte der Physik, Volume 73, Issue 11, November 2025.Abstract The relation between the vertex operators of the in and out fields in Liouville theory is analyzed. This is used to derive equations for the S‐matrix, from which a recursive relation for the normal symbol of the S‐matrix for discrete center‐of‐mass momenta is obtained.
George Jorjadze +2 more
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Novel notions of symmetric Hahn calculus and related inequalities
Journal of Inequalities and ApplicationsIn this manuscript, we demonstrate a graphical comparison analysis of the classical, quantum, and symmetric quantum derivatives for any continuous function, evaluated at z = 1 $\mathfrak{z}=1$ and q = 0.5 $\mathtt{q}=0.5$ .
Saad Ihsan Butt +4 more
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Indagationes Mathematicae, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
ChangJian, Z, Cheung, WS
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Risk Analysis, Volume 45, Issue 11, Page 3797-3818, November 2025.ABSTRACT In absence of sufficient data, structured expert judgment is a suitable method to estimate uncertain quantities. While such methods are well established for individual variables, eliciting their dependence in a structured manner is a less explored field of research.
Guus Rongen +3 more
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