Differential Calculus over Graded Commutative Algebras and Vector Bundles with Inner Structures

In this note we highlight a common origin for many ubiquitous geometric structures, as well as several new ones by using only the functors of differential calculus in A.M Vinogradov's original sense, adapted to special classes of (graded) commutative algebras. Special attention is given to the particularly simple cases of diole and triole algebras and we show the latter environment is the appropriate one to describe calculus in vector bundles in the presence of a vector-valued fiber metric.Comment: 16 page

Deviation from weak Banach–Saks property for countable direct sums

We introduce a seminorm for bounded linear operators between Banach spaces that shows the deviation from the weak Banach–Saks property. We prove that if (Xv) is a sequence of Banach spaces and a Banach sequence lattice E has the Banach–Saks property, then the deviation from the weak Banach–Saks property of an operator of a certain class between direct sums E(Xv) is equal to the supremum of such deviations attained on the coordinates Xv. This is a quantitative version for operators of the result for the Köthe–Bochner sequence spaces E(X) that if E has the Banach–Saks property, then E(X) has the weak Banach–Saks property if and only if so has X

JOB SATISFACTION IN THE CONTEXT OF TEAL ORGANIZATION

In recent years, a significant number of studies has been conducted to definesatisfaction and its impacting factors. This research aims to assess whether the employees of tealorganizations show higher satisfaction than their equivalent in traditional organizations. That could be due to various features like: friendly work environment, value culture, flat organization structure, workers empowerment, relationships, self-management. Each of those on its own is considered to improve work satisfaction and therefore the question is, if in an organization, where all of these factors are accumulated, the work satisfaction is significantly higher? To verify that hypothesis, the pilot research was carried out during a conference dedicated to teal organizations

Differential Calculus in Triole Algebras

This work is the first in a series of papers that, among other things, extends the formalism of diolic differential calculus, wherein a new context for obtaining differential calculus in vector bundles was established. Here we provide a modest but interesting generalization of this formalism to include a class of vector bundles with additional inner structure provided by fiber metrics that we call triole algebras. We discuss the basics of a triolic-linear algebra and study various functors of differential calculus over these algebraic objects. In doing so, we establish a conceptual framework for making sense of calculus on bundles that preserve a vector-valued fiber metric structure.Comment: 36 pages

Own system of intelligent building in comparison with an open - source solution

This article is an attempt to answer the question whether and under what conditions it is beneficial to develop an own intelligent building system, when many free open source systems are available. The publication presents the characteristics of author's own home automation system - sHome, as well as the open-source system - Domoticz, in a configuration that is as close to the functionality of the author's system as possible. The work ends with a comparative analysis of the systems and conclusions from the analysis

Regular matrix methods of summability and real interpolation

We show that the Banach–Saks property with respect to a regular positive matrix method of summability is inherited by the real interpolation spaces from a space forming the interpolation family and possessing this property. The proof refers to the Galvin–Prikry theorem on Ramsey sets. The results apply to several matrix methods of summability, such as Cesaro, Nørlund or Holder methods

Is Content Publishing in BitTorrent Altruistic or Profit-Driven

BitTorrent is the most popular P2P content delivery application where individual users share various type of content with tens of thousands of other users. The growing popularity of BitTorrent is primarily due to the availability of valuable content without any cost for the consumers. However, apart from required resources, publishing (sharing) valuable (and often copyrighted) content has serious legal implications for user who publish the material (or publishers). This raises a question that whether (at least major) content publishers behave in an altruistic fashion or have other incentives such as financial. In this study, we identify the content publishers of more than 55k torrents in 2 major BitTorrent portals and examine their behavior. We demonstrate that a small fraction of publishers are responsible for 66% of published content and 75% of the downloads. Our investigations reveal that these major publishers respond to two different profiles. On one hand, antipiracy agencies and malicious publishers publish a large amount of fake files to protect copyrighted content and spread malware respectively. On the other hand, content publishing in BitTorrent is largely driven by companies with financial incentive. Therefore, if these companies lose their interest or are unable to publish content, BitTorrent traffic/portals may disappear or at least their associated traffic will significantly reduce

Performance of Empirical Research as a Method for Achieving Professional Students’ Competence: a Case Study of Teaching Sales Skills to Future Employees of the Beauty Industry

Introduction and purpose. Didactic methods are evolving, among others, in the direction of engaging students in performance of empirical research gives rise to, in the first place, the students’ active participation in the process of knowledge creation and improves their methodological expertise. This paper presents an outlook on the value of the students’ participation in empirical research as a possibility for developing their professional competence. Material and method. A case study concerning education of the future employees of the cosmetic industry via engagement of students majoring in “cosmetology” (as part of classes forming a part of the “Sales Techniques in Cosmetology” course taught at the University of Physical Education in Kraków) in the preparation and performance of empirical research was presented. In the first place, general information pertaining to the system of educating cosmetologists in Poland and at the university in question was discussed; this offered a background for illustrating the characteristics of the aforementioned subject, with a focus on the module of classes devoted to the preparation and performance of empirical research. In the second place, the process encompassing: (1) students’ engagement in the research preparation, (2) students’ engagement in the performance of research, (3) students’ engagement in the analysis and interpretation of research results and (4) actions taken to utilize the results of research for didactic purposes, was presented. Results and conclusions. Benefits resulting from the proposed formula of teaching the subject were listed, with simultaneous reference to the diversified level of engagement of the lecturer and the students in the performance of individual stages of the research process

NMR Spectroscopy of Human Eye Tissues: A New Insight into Ocular Biochemistry

Background. The human eye is a complex organ whose anatomy and functions has been described very well to date. Unfortunately, the knowledge of the biochemistry and metabolic properties of eye tissues varies. Our objective was to reveal the biochemical differences between main tissue components of human eyes. Methods. Corneas, irises, ciliary bodies, lenses, and retinas were obtained from cadaver globes 0-1/2 hours postmortem of 6 male donors (age: 44–61 years). The metabolic profile of tissues was investigated with HR MAS 1H NMR spectroscopy. Results. A total of 29 metabolites were assigned in the NMR spectra of the eye tissues. Significant differences between tissues were revealed in contents of the most distant eye-tissues, while irises and ciliary bodies showed minimal biochemical differences. ATP, acetate, choline, glutamate, lactate, myoinositol, and taurine were identified as the primary biochemical compounds responsible for differentiation of the eye tissues. Conclusions. In this study we showed for the first time the results of the analysis of the main human eye tissues with NMR spectroscopy. The biochemical contents of the selected tissues seemed to correspond to their primary anatomical and functional attributes, the way of the delivery of the nutrients, and the location of the tissues in the eye