Results 31 to 40 of about 572,993 (300)
A Reverse Hardy–Hilbert’s Inequality Containing Multiple Parameters and One Partial Sum
Mathematics, 2022 In this work, by introducing multiple parameters and utilizing the Euler–Maclaurin summation formula and Abel’s partial summation formula, we first establish a reverse Hardy–Hilbert’s inequality containing one partial sum as the terms of double series ...
Bicheng Yang, Shanhe Wu, Xingshou Huang
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On Riemann wave superpositions obtained from the Euler system [PDF]
Open Communications in Nonlinear Mathematical PhysicsThe paper contains an analysis of the conditions for the existence of elastic versus non-elastic wave superpositions governed by the Euler system in (1+1)-dimensions.
Łukasz Chomienia +1 more
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Relationship between alternating sums of powers of integers and sums of powers of integers [PDF]
Notes on Number Theory and Discrete MathematicsIn this note, we consider the alternating sums of powers of integers. We write alternating sum of powers of integers as the linear combination of sums of powers of integers. As the coefficients, the special value of the Euler polynomial appears.
Minoru Yamamoto
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Euler-type sums involving multiple harmonic sums and binomial coefficients
Open Mathematics, 2021 In this paper, we mainly show that generalized Euler-type sums of multiple harmonic sums with reciprocal binomial coefficients can be expressed in terms of rational linear combinations of products of classical multiple zeta values (MZVs) and multiple ...
Si Xin
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The Impact of Shape on the Perception of Euler Diagrams [PDF]
, 2014 Euler diagrams are often used for visualizing data collected into sets. However, there is a significant lack of guidance regarding graphical choices for Euler diagram layout.
Howse, John +10 more
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Mathematics, 2021 Generally, the continuous and discrete TS fuzzy systems’ control is studied independently. Unlike the discrete systems, stability results for the continuous systems suffer from conservatism because it is still quite difficult to apply non-quadratic ...
Ameni Ellouze +5 more
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A Graph Theoretic Approach to General Euler Diagram Drawing [PDF]
, 2010 Euler diagrams are used in a wide variety of areas for representing information about relationships between collections of objects. Recently, several techniques for automated Euler diagram drawing have been proposed, contributing to the Euler diagram ...
Howse, John +2 more
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A General Method for Drawing Area-Proportional Euler Diagrams [PDF]
, 2011 Area-proportional Euler diagrams have many applications, for example they are often used for visualizing data in medical and biological domains. There have been a number of recent research efforts to automatically draw Euler diagrams when the areas of ...
Howse, John +5 more
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Relationships Between Generalized Bernoulli Numbers and Polynomials and Generalized Euler Numbers and Polynomials [PDF]
, 2002 In this paper, concepts of the generalized Bernoulli and Euler numbers and polynomials are introduced, and some relationships between them are ...
Qi, Feng, Luo, Qiu-Ming
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Journal of Inequalities and Applications, 2019 In this paper, we provide an estimate for approximating the generalized-Euler-constant function γ(z)=∑k=1∞zk−1(1k−lnk+1k) $\gamma (z)=\sum_{k=1}^{\infty }z ^{k-1} (\frac{1}{k}-\ln \frac{k+1}{k} )$ by its partial sum γN−1(z) $\gamma _{N-1}(z)$ when ...
Aimin Xu
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