Results 1 to 10 of about 9,462 (13)
Hardy type inequality in variable Lebesgue spaces [PDF]
We prove that in variable exponent spaces $L^{p(\cdot)}(\Omega)$, where $p(\cdot)$ satisfies the log-condition and $\Omega$ is a bounded domain in $\mathbf R^n$ with the property that $\mathbf R^n \backslash \bar{\Omega}$ has the cone property, the ...
Rafeiro, Humberto, Samko, Stefan
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What visual information is used for stereoscopic depth displacement discrimination? [PDF]
There are two ways to detect a displacement in stereoscopic depth, namely by monitoring the change in disparity over time (CDOT) or by monitoring the inter-ocular velocity difference (IOVD).
Harris, Julie, Nefs, Harold
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Triebel-Lizorkin-Type Spaces with Variable Exponents
In this article, the authors first introduce the Triebel-Lizorkin-type space $F_{p(\cdot),q(\cdot)}^{s(\cdot),\phi}(\mathbb R^n)$ with variable exponents, and establish its $\varphi$-transform characterization in the sense of Frazier and Jawerth, which ...
Yang, Dachun, Yuan, Wen, Zhuo, Ciqiang
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A Near-Optimal Algorithm for Computing Real Roots of Sparse Polynomials
Let $p\in\mathbb{Z}[x]$ be an arbitrary polynomial of degree $n$ with $k$ non-zero integer coefficients of absolute value less than $2^\tau$. In this paper, we answer the open question whether the real roots of $p$ can be computed with a number of ...
Sagraloff, Michael
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On the Sum of Dilations of a Set [PDF]
We show that for any relatively prime integers $1\leq ...
Balog, Antal, Shakan, George
core
Special values of Dirichlet series and zeta integrals [PDF]
For $f$ and $g$ polynomials in $p$ variables, we relate the special value at a non-positive integer $s=-N$, obtained by analytic continuation of the Dirichlet series $$ \zeta(s;f,g)=\sum_{k_1=0}^\infty ... \sum_{k_p=0}^\infty g(k_1,...,k_p)f(k_1,...,k_p)^
Friedman, Eduardo, Pereira, Aldo
core
Formalization of Complex Vectors in Higher-Order Logic
Complex vector analysis is widely used to analyze continuous systems in many disciplines, including physics and engineering. In this paper, we present a higher-order-logic formalization of the complex vector space to facilitate conducting this analysis ...
H. Herencia-Zapana +4 more
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Quality of Move-Optimal Schedules for Minimizing the Vector Norm of the Workloads [PDF]
We study the problem of minimizing the vector norm $||\cdot||_p$ of the workloads. We examine move-optimal assignments and prove a performance guarantee of $\frac{2^p-1}{p} \cdot \left(\frac{p-1}{2^p-2}\right)^{\frac{p-1}{p}},$ for any integer $p>1 ...
Brueggemann, T., Hurink, J.L.
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Singular sensitivity in a Keller-Segel-fluid system
In bounded smooth domains $\Omega\subset\mathbb{R}^N$, $N\in\{2,3\}$, considering the chemotaxis--fluid system \[ \begin{cases} \begin{split} & n_t + u\cdot \nabla n &= \Delta n - \chi \nabla \cdot(\frac{n}{c}\nabla c) &\\ & c_t + u\cdot \nabla c ...
Black, Tobias +2 more
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The Electron Propagator in External Electromagnetic Fields in Lower Dimensions
We study the electron propagator in quantum electrodynamics in lower dimensions. In the case of free electrons, it is well known that the propagator in momentum space takes the simple form $S_F(p)=1/(\gamma\cdot p-m)$.
Murguia, Gabriela +3 more
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