The fractional weak discrepancy wdF (P ) of a poset P = (V,≺) was introduced in [5] as the minimum nonnegative k for which there exists a function f : V → R satisfying (i) if a ≺ b then f(a)+1 ≤ f(b) and (ii) if a ‖ b then |f(a) − f(b)| ≤ k. In this paper we generalize results in [6, 7] on the range of wdF for semiorders to the larger class of split semiorders. In particular, we prove that for ...

The fractional weak discrepancy wdF (P ) of a poset P = (V,≺) was introduced in [6] as the minimum nonnegative k for which there exists a function f : V → R satisfying (i) if a ≺ b then f(a)+1 ≤ f(b) and (ii) if a ‖ b then |f(a) − f(b)| ≤ k. In this paper we generalize results in [7, 8] on the range of the wdF function for semiorders (interval orders with no induced 3+ 1) to interval orders wit...

We used a previously developed simulation model of a plant cell wall and its enzymatic degradation to compare the abilities of two hemicelluloses, glucuronoarabinoxylan (GAX) and xyloglucan (XG), to protect cellulose microfibrils (CMFs) from attack by cellulose-degrading enzymes. Additionally, we investigated the effect of XG abundance on the degradation rate of CMFs in the presence of the same...

MAPSec has recently been introduced as a security protocol for mobile telecommunication networks in the midst of numerous threats and vulnerabilities. Our initial study reveals that MAPSec can only provide protection coverage to a minor portion of the total network vulnerabilities. Motivated by this discovery, we have devised a toolkit—Cellular Network Vulnerability Assessment Toolkit for Evalu...

Wittgenstein as Davidson on Metaphor In Wittgensten und die Metaphor, eds. Arnswald, Kertscher, and Kross, Parerga Verlag, Berlin, 2004, as “Wittgenstein mit Davidson uber Metaphor,” (German translation) pp. 195-220. This essay has five parts: First, I explain some fundamental agreements between Davidson and Wittgenstein. I argue that Donald Davidson’s views and Wittgenstein’s views in the Inve...

Collective matrix factorization (CMF) is a popular technique to improve the overall factorization quality of multiple matrices presuming they share the same latent factor. However, it suffers from performance degeneration when this assumption fails, an effect called negative transfer (n.t.). Although the effect is widely admitted, its theoretical nature remains a mystery to date. This paper pre...

    Background: Tobacco consumption is still considered as the first preventable cause of death in the world. In order to influence tobacco policy process, researchers and policymakers must use frameworks of policy-making to understand the process to provide them insights for influence the process. This systematic review aims to review the application of policy analysis framework...

In this paper, we show that every selective groupoid induced by a fuzzy subset is a pogroupoid, and we discuss several properties in quasi ordered sets by introducing the notion of a framework.

routing in ad-hoc networks, specifically intelligent-based ones, is a highly interested research topic in recent years. most of them are simulation-based study. large percentages have not even mentioned some of the fundamental parameters. this strictly reduces their validity and reliability. on the other hand, there is not a comprehensive framework to classify routing algorithms in wireless sen...