In this paper, we introduce a class of $J$-quasipolar rings. Let $R$ be a ring with identity. An element $a$ of a ring $R$ is called {it weakly $J$-quasipolar} if there exists $p^2 = pin comm^2(a)$ such that $a + p$ or $a-p$ are contained in $J(R)$ and the ring $R$ is called {it weakly $J$-quasipolar} if every element of $R$ is weakly $J$-quasipolar. We give many characterizations and investiga...

2. J. Kilner, R. Orr, J.A. Shelly (eds.), The Changing Face of Health Care (Grand Rapids: Eerdmans/London: Paternoster, 1998). 3. N.P. Wolterstorff, 'The Role of Religion in Decision and Discussion of Political Issues', in: R. Audi and N.P. Wolterstorff, Religion in the Public Square (Lanham: Rowman & Littlefield, 1997), 67-120. 4. J.A. Shelly, 'Working Toward Shalom: The Core of Nursing Practi...

I count the number of combinatorial choice rules that satisfy certain properties: Kelso–Crawford substitutability, and independence of irrelevant alternatives. The results are important for two-sided matching theory, where agents are modeled by combinatorial choice rules with these properties. The rules are a small, and asymptotically vanishing, fraction of all choice rules. But they are still ...

http://dx.doi.org/10.1016/j.jhydrol.2016.01.027 0022-1694/ 2016 Elsevier B.V. All rights reserved. ⇑ Corresponding author at: Department of Civil and Environmental Engineering, University of California, Irvine, USA. E-mail addresses: [email protected] (M. Sadegh), [email protected] (J.A. Vrugt), [email protected] (H.V. Gupta), [email protected] (C. Xu). M. Sadegh , J.A. Vrugt a,b,⇑, H.V. Gupta...

Acknowledgements. This work was supported by the Australian Research Council 10 (ARC) Centre of Excellence in Vision Science (CE0561903) and Centre of 11 Excellence for Integrative Brain Function (CE140100007). The authors thank Prof. 12 J.A. Movshon (Centre for Neural Science, New York University) in whose lab the 13 recordings were performed. The authors also thank Dr Luke Hallum and Dr Adam ...

Throughout this paper, k denotes a field of characteristic 0. We write E8 for the split simple algebraic group with Killing-Cartan type E8. The Galois cohomology set H (k, E8) classifies simple algebraic groups of type E8 over k. One of the goals of the theory of algebraic groups over arbitrary fields is to understand the groups of type E8, equivalently, understand the set H(k, E8). The main to...