Reciprocal transformations [1-3] are a useful tool in the study of integrable partial differential equations. Recently, there has been much interest in the equation of Fokas-Fuchssteiner-CamassaHolm (FFCH), originally derived by Fokas and Fuchssteiner [4] in the context of bi-Hamiltonian theory, and subsequently rederived as an equation for shallow water waves by Camassa and Holm [5]. The FFCH ...

The reciprocal class of a Markov path measure is the set of all mixtures of its bridges. We give characterizations of the reciprocal class of a continuous-time Markov random walk on a graph. Our main result is in terms of some reciprocal characteristics whose expression only depends on the jump intensity. We also characterize the reciprocal class by means of Taylor expansions in small time of s...

PURPOSE The aim of this longitudinal three-wave study was to examine (i) reciprocal associations among job demands, work-related perseverative cognition (PC), and sleep quality; (ii) PC as a mediator in-between job demands and sleep quality; and (iii) continuous high job demands in relation to sleep quality and work-related PC over time. METHOD A representative sample of the Swedish working p...

Processes having the same bridges as a given reference Markov process constitute its reciprocal class. In this paper we study the reciprocal class of a continuous time random walk with values in a countable Abelian group, compute explicitly its reciprocal characteristics and present an integral characterization of it. Our main tool is a new iterated version of the celebrated Mecke’s formula fro...

Homo Reciprocans: Survey Evidence on Prevalence, Behavior and Success Experimental evidence has convincingly shown the existence of reciprocal inclinations, i.e., a tendency for people to respond in-kind to hostile or kind actions. Little is known, however, about: (i) the prevalence of reciprocity in the population, (ii) individual determinants of reciprocity, (iii) the correlation between posi...

The reciprocal relationship between mathematics achievement and self-concept is examined in this study to expand the existing knowledge to a cross-cultural setting. Based on analyses of educational data two years before and after Hong Kong’s sovereignty switch in 1997, this investigation shows a weak reciprocal relationship among the eighth-grade students across gender categories. With the intr...

INTRODUCTION The aim of this study was to evaluate the resistance to flexural fatigue of Reciproc R25 (VDW, Munich, Germany), WaveOne Primary (VDW, Munich, Germany), Mtwo (Sweden & Martina, Padova, Italy), and Twisted File (TF; SybronEndo, Orange, CA) instruments used in continuous rotation or in 2 different reciprocating motions. METHODS A total of 180 nickel-titanium files from 4 brands mar...

In this paper, we introduce two different notions of generalized supra soft sets namely supra A--soft sets and supra soft locally closed sets in supra soft topological spaces, which are weak forms of supra open soft sets and discuss their relationships with each other and other supra open soft sets [{it International Journal of Mathematical Trends and Technology} (IJMTT), (2014) Vol. 9 (1):37--...

Heat transfer properties in non-reciprocal systems are discussed. An ideal experiment employing microwave or optical isolators is considered in order to investigate the possibility for a spontaneous transfer of energy between two black-bodies at common temperatures. Under the validity of the adopted assumptions on the examined physical system, the effect appears to be weak but feasible.

In this paper, the new concepts of subcompatibility and subsequential continuity which are respectively weaker than occasionally weak compatibility and reciprocal continuity in intuitionistic Menger space has been applied to prove a common fixed point theorem. We extend the result of [1] from metric space to intuitionistic Menger space. Also we cited examples in support our results.