Results 21 to 30 of about 2,716 (196)
In this paper, we use direct and fixed-point techniques to examine the generalised Ulam–Hyers stability results of the general Euler–Lagrange quadratic mapping in non-Archimedean IFN spaces (briefly, non-Archimedean Intuitionistic Fuzzy Normed spaces ...
Kandhasamy Tamilvanan +3 more
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A Generalized Archimedean Property
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Bényi, árpád +2 more
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ON THE ARCHIMEDEAN CHARACTERIZATION OF PARABOLAS [PDF]
Archimedes knew that the area between a parabola and any chord $AB$ on the parabola is four thirds of the area of triangle $ΔABP$ where P is the point on the parabola at which the tangent is parallel to $AB$. We consider whether this property (and similar ones) characterizes parabolas. We present five conditions which are necessary and sufficient for a
Kim, Dong-Soo, Kim, Young Ho
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Non-Archimedean Welch Bounds and Non-Archimedean Zauner Conjecture
Let $\mathbb{K}$ be a non-Archimedean (complete) valued field satisfying \begin{align*} \left|\sum_{j=1}^{n}\lambda_j^2\right|=\max_{1\leq j \leq n}|\lambda_j|^2, \quad \forall \lambda_j \in \mathbb{K}, 1\leq j \leq n, \forall n \in \mathbb{N}. \end{align*} For $d\in \mathbb{N}$, let $\mathbb{K}^d$ be the standard $d$-dimensional non-Archimedean ...
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Condition pseudospectrum in non-Archimedean Banach spaces [PDF]
In this article, we introduce and study the condition pseudospectrum of bounded linear operator pencils on non-Archimedean Banach spaces. We obtain a characterization of the condition pseudospectrum of bounded linear operator pencils on non-Archimedean ...
Jawad Ettayb
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Construction and sampling of Archimedean and nested Archimedean Lévy copulas
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Oliver Grothe, Marius Hofert
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A central problem in machine learning and statistics is to model joint densities of random variables from data. Copulas are joint cumulative distribution functions with uniform marginal distributions and are used to capture interdependencies in isolation from marginals.
Chun Kai Ling +2 more
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Non-Archimedean Sendov’s Conjecture [PDF]
We prove non-archimedean analogue of Sendov's conjecure. We also provide complete list of polynomials over an algebraically closed non-archimedean field $K$ that satisfy the optimal bound in the Sendov's conjecture.
Choi, Daebeom, Lee, Seewoo
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Estimation of Tail Value at Risk for Bivariate Portfolio using Gumbel Copula
Investing in the stock market involves complex risks, especially under extreme and unpredictable conditions. While Value at Risk (VaR) is a widely used risk measure, it has limitations in capturing tail-end risks.
Fransiska Fransiska +2 more
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Nearly Ring Homomorphisms and Nearly Ring Derivations on Non-Archimedean Banach Algebras
We prove the generalized Hyers-Ulam stability of homomorphisms and derivations on non-Archimedean Banach algebras. Moreover, we prove the superstability of homomorphisms on unital non-Archimedean Banach algebras and we investigate the superstability of ...
Madjid Eshaghi Gordji
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