Results 1 to 10 of about 9,462 (13)

Hardy type inequality in variable Lebesgue spaces [PDF]

open access: yes, 2008
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
core   +3 more sources

What visual information is used for stereoscopic depth displacement discrimination? [PDF]

open access: yes, 2012
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
core   +1 more source

Triebel-Lizorkin-Type Spaces with Variable Exponents

open access: yes, 2015
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
core   +1 more source

A Near-Optimal Algorithm for Computing Real Roots of Sparse Polynomials

open access: yes, 2014
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
core   +1 more source

On the Sum of Dilations of a Set [PDF]

open access: yes, 2013
We show that for any relatively prime integers $1\leq ...
Balog, Antal, Shakan, George
core  

Special values of Dirichlet series and zeta integrals [PDF]

open access: yes, 2011
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

open access: yes, 2014
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
core   +1 more source

Quality of Move-Optimal Schedules for Minimizing the Vector Norm of the Workloads [PDF]

open access: yes, 2006
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.
core   +1 more source

Singular sensitivity in a Keller-Segel-fluid system

open access: yes, 2017
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
core   +1 more source

The Electron Propagator in External Electromagnetic Fields in Lower Dimensions

open access: yes, 2009
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
core   +1 more source

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