New DNA sequencing technology implemented in the GS 20 sequencer reduces cost and time in exchange for lower accuracy. DNA sequencing errors negatively impact downstream applications and therefore accurate base calls and error probabilities are invaluable to researchers. This paper applies a graphical model to the base calling problem in context of the GS 20 sequencer. This model integrates sig...

A class domination coloring (also called cd-Coloring or dominated coloring) of a graph is proper in which every color contained the neighborhood some vertex. The minimum number colors required for any cd-coloring G, denoted by χcd(G), chromatic (cd-chromatic number) G. In this work, we consider two problems associated with context exact exponential-time algorithms and parameterized complexity. ...

electrocardiographic (ecg) parameters and cardiac rhythms have been evaluated and published in different breeds of beef and dairy cattle but there is limited information regarding these parameters in healthy sheep. this study is aimed to investigate the ecg parameters in balouchi sheep. the ecg parameters including the amplitudes of p, q, r, s and t waves, duration of p, qrs and t waves and p-r...

In Rough Set Theory, dependency in the knowledge base is an important aspect when drawing inferences about the world. Rough set (inexact set) is defined by using a fixed binary relation (equivalence relation, tolerance relation, similarity relation, etc) to analyze vague, imprecise, inexact problems, which satisfy many interesting properties. The neighborhood based rough set theory is an extens...

For a compact monotonically normal space X we prove: (1) X has a dense set of points with a well-ordered neighborhood base (and so X is co-absolute with a compact orderable space); (2) each point of X has a well-ordered neighborhood πbase (answering a question of Arhangel’skii); (3) X is hereditarily paracompact iff X has countable tightness. In the process we introduce weak-tightness, a notion...

We determine all integers n such that n2 has at most three base-q digits for q ∈ {2, 3, 4, 5, 8, 16}. More generally, we show that all solutions to equations of the shape Y 2 = t + M · q + N · q, where q is an odd prime, n > m > 0 and t2, |M |, N < q, either arise from “obvious” polynomial families or satisfy m ≤ 3. Our arguments rely upon Padé approximants to the binomial function, considered ...

It was discovered some years ago that there exist non-integer real numbers q > 1 for which only one sequence (ci) of integers 0 ≤ ci < q satisfies the equality P ∞ i=1 ciq −i = 1. The set of such “univoque numbers” has a rich topological structure, and its study revealed a number of unexpected connections with measure theory, fractals, ergodic theory and Diophantine approximation. In this paper...

In some spatial applications the objects of interest are fields, caused by spatially distributed sources, and one of the central questions is to find neighborhood relations between these fields. The motivating example for this paper is a cellular network: base transceiver stations transmit signals with continuous distribution, the signal strength, in an urban environment. In order to avoid inte...

Wireless sensor networks (WSNs) typically exploit a single base station for collecting data and coordinating activities. However, decentralized architectures are rapidly emerging, as witnessed by wireless sensor and actuator networks (WSANs), and in general by solutions involving multiple data sinks, heterogeneous nodes, and in-network coordination. These settings demand new programming abstrac...

This article provides a comprehensive review of research on the effects of neighborhood residence on child and adolescent well-being. The first section reviews key methodological issues. The following section considers links between neighborhood characteristics and child outcomes and suggests the importance of high socioeconomic status (SES) for achievement and low SES and residential instabili...