Weak index pairs and the Conley index for discrete multivalued dynamical systems. Part II: properties of the index

Motivation to revisit the Conley index theory for discrete multivalued dynamical systems stems from the needs of broader real applications, in particular in sampled dynamics or in combinatorial dynamics. The new construction of the index in [B. Batko and M. Mrozek, {\em SIAM J. Applied Dynamical Systems}, 15(2016), pp. 1143-1162] based on weak index pairs, under the circumstances of the absence of index pairs caused by relaxing the isolation property, seems to be a promising step towards this direction. The present paper is a direct continuation of [B. Batko and M. Mrozek, {\em SIAM J. Applied Dynamical Systems}, 15(2016), pp. 1143-1162] and concerns properties of the index defined therin, namely Wa\.zewski property, the additivity property, the homotopy (continuation) property and the commutativity property. We also present the construction of weak index pairs in an isolating block

Weak index pairs and the Conley index for discrete multivalued dynamical systems

Motivated by the problem of reconstructing dynamics from samples we revisit the Conley index theory for discrete multivalued dynamical systems. We introduce a new, less restrictive definition of the isolating neighbourhood. It turns out that then the main tool for the construction of the index, i.e. the index pair, is no longer useful. In order to overcome this obstacle we use the concept of weak index pairs

Off-shell effects in heavy particle production

Off-shell propagation of nucleons is neglected in one-body transport models of heavy-ion collisions, but it could be significant in processes that are limited by phase space, such as the threshold production of heavy particles. We estimate the relative magnitude of off-shell production to on-shell production of the N$^*$(1535) resonance in heavy ion collisions. In the region where the on-shell production is dominated by a~two-step mechanism with an intermediate $\Delta$, we find that the contribution of off-shell scattering between projectile and target nucleons is indeed small. Beyond the latter contribution, however, correlations in the initial wave function produce off-shell contributions which can exceed those of the on-shell $\Delta$ mechanism.Comment: 8 pages, 1 uuencoded Postscript figur

Changes to immigration policy in Japan : a chance to secure economic growth?

The aim of the article is to analyse changes in the immigration policy of Japan since 2012. The main reasons for undertaking such research are twofold. Firstly, it is the rapid decline in Japanese population. Secondly, it is a complex plan of economic revitalisation published by the government, in which immigration policy is one of the important components. The assumptions made in the article concern the current changes to immigration laws that constitute a substantial yet insufficient step towards transforming the perception of immigrants. The success of this policy is equally dependent on the change of attitude towards immigrants among Japanese people. Hence, the government should introduce certain initiatives aimed at changing this largely negative approach. With regards to methodology, mixed methods have been applied. From a quantitative perspective, statistics published by the Japanese Immigration Bureau and Ministry of Justice have been implemented. As for qualitative methods, official documents and reports as well as changes to the law have been analysed

On Approximate Solutions of Functional Equations in Vector Lattices

We provide a method of approximation of approximate solutions of functional equations in the class of functions acting into a Riesz space (algebra). The main aim of the paper is to provide a general theorem that can act as a tool applicable to a possibly wide class of functional equations. The idea is based on the use of the Spectral Representation Theory for Riesz spaces. The main result will be applied to prove the stability of an alternative Cauchy functional equation F(x+y)+F(x)+F(y)≠0⇒F(x+y)=F(x)+F(y) in Riesz spaces, the Cauchy equation with squares F(x+y)2=(F(x)+F(y))2 in f-algebras, and the quadratic functional equation F(x+y)+F(x-y)=2F(x)+2F(y) in Riesz spaces

How Fear and Anxiety in Response to Countertransference and Somatic Countertransference Impacted the Clinical Decision-Making of a Dance/Movement Therapy Intern

This artistic inquiry self-study explored how fear and anxiety, in response to countertransference and somatic countertransference, impacted the clinical decision-making process of a dance/movement therapy intern. Primary questions surrounding the research included: How did fear and anxiety, in response to countertransference and somatic countertransference, impact the clinical decision-making of myself as a dance/movement therapy intern? Was what I experienced, as a dance/movement therapy intern, both fear and anxiety? How did I physiologically experience and embody fear and anxiety in response to countertransference and somatic countertransference? Data were collected in the form of journal entries and video recorded movement and were analyzed concurrently through the use of creative synthesis. 96 pages

Relation between dynamic analytical capabilities and competitive advantage: theoretical approach

Motivation: The contributory factor to undertake the subject was a research gap regarding the role of dynamic analytical capabilities in building competitive advantage of the organization. The analyzed issue is gaining in importance in an era of increasing requirements for the reinforcement of competitive position of organization, creation of unique resource bundles, ability to access extremely rapidly growing amounts of data, development of business intelligence, big data analysis and even competition analyses. Many scientific papers and case studies have shown that Dynamic analytical capabilities (DAC) of the organization can provide benefits to organizations and create competitive advantage.Aim: The purpose of this paper is to identify dynamic analytical capabilities of the organization as an emerging research area on building a competitive advantage. Also the objective of this paper is to present theoretical model which describes the relationship between the three elements: dynamic analytical capabilities of the organization, analytical maturity and competitive advantage. In order to achieve the defined purpose, the critical literature analysis on dynamic analytical capabilities of the organization, analytical maturity and competitive advantage will be performed. Due to this fact, this paper presents a theoretical study.Results: The article presents the concepts of dynamic analytic capabilities, considering factors that affect it. As a result of literature research, I constructed a theoretical model showing the relationship between the dynamic analytical capabilities and its determinants, analytical maturity and competitive advantage. The results of studies led me to make the statement that the analytical maturity of the organization is a mediator of relationship between dynamic analytical capabilities and competitive advantage of organization