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1

Multiplication operators on the Banach algebra of bounded Φ-variation functions on compact subsets of ℂ

Bracamonte Mireya, Ereú Jurancy, Marchan Luz

Demonstratio Mathematica

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2022

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Vol. 55, nr 1

760--771

EN

Let AΦ(K) be the Banach algebra of bounded Φ -variation functions defined on a compact set K in the complex plane, h a function defined on K, and Mh a multiplication operator induced by h. In this article, we determine the conditions that h must satisfy for Mh to be an operator that has closed range, finite rank or is compact. We also characterize the conditions that h must satisfy for Mh to be a Fredholm operator.

2

Open innovation in the context of organisational strategy

Walecka-Jankowska Katarzyna, Zimmer Joanna

Engineering Management in Production and Services

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2019

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Vol. 11, no. 3

86--95

EN

The paper aims to analyse the relationship between different types of corporate strategy and open innovation in the contexts of the age, size and the operational range of enterprises. The research targeted companies in Poland that were surveyed from January to April, using traditional and electronic forms of a questionnaire. The questionnaire was developed based on a 5-point Likert scale. The level of “openness” of innovation processes in an enterprise was determined according to a 3-point scale, namely, a closed innovator, a hybrid or semi-open innovator, and an open innovator. The strategy implemented by an enterprise was classed into main three types used to achieve a competitive advantage, i.e. cost leadership, differentiation or diversification. There is a strong correlation between open innovations, the cost leadership strategy and the differentiation strategy (negative correlation). The relationship between the age, size and the range of a company and the opening of innovative processes was also observed. The research aims to fill the knowledge gap existing in the literature regarding the links between a particular type of strategy and the opening of innovation processes.

3

Quantum (q, h)-Bézier surfaces based on bivariate (q, h)-blossoming

Jegdić Ilija, Simeonov Plamen, Zafiris Vasilis

Demonstratio Mathematica

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2019

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Vol. 52, nr 1

451--466

EN

We introduce the (q, h)-blossom of bivariate polynomials, and we define the bivariate (q, h)-Bernstein polynomials and (q, h)-Bézier surfaces on rectangular domains using the tensor product. Usingthe (q, h)-blossom, we construct recursive evaluation algorithms for (q, h)-Bézier surfaces and we derive adual functional property, a Marsden identity, and a number of other properties for bivariate (q, h)-Bernsteinpolynomials and (q, h)-Bézier surfaces. We develop a subdivision algorithm for (q, h)-Bézier surfaces witha geometric rate of convergence. Recursive evaluation algorithms for quantum (q, h)-partial derivatives ofbivariate polynomials are also derived.

4

Zarządzanie różnorodnością – stan i perspektywy rozwoju

Skrzypek E.

Problemy Jakości

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2018

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R. 50, nr 10

4--11

PL

Celem artykułu jest wskazanie na istotę i znaczenie zarządzania różnorodnością w organizacji, dokonanie przeglądu definicji i rozumienia koncepcji zarządzania różnorodnością. Ponadto pokazanie stanu badań nad zarządzaniem różnorodnością w kraju i za granicą. Realizacji celów postawionych przed artykułem służy jego struktura, która obejmuje pokazanie istoty i znaczenia zarządzania różnorodnością, odniesienie się do zarządzania różnorodnością jako koncepcji zarządzania oraz pokazanie stanu badań nad zarządzaniem różnorodnością. Metodą badawczą wykorzystaną w pracy jest analiza dostępnej literatury oraz wnioskowanie. W wyniku przeprowadzonych analiz wskazano na potrzebę kontynuowania prac nad zarządzaniem różnorodnością i modelowych rozwiązań w tym obszarze. Wnioski sformułowane w pracy dotyczą przydatności zarządzania różnorodnością w procesie doskonalenia zarządzania i wskazują, że zarządzanie różnorodnością wpisuje się w proces poszukiwania nowych, bardziej efektywnych narzędzi radzenia sobie z niepewnością otoczenia. Wymaga ono wiedzy, nowych kompetencji, które umożliwią wyzwolenie synergii różnorodności. Zarządzanie wiedzą ułatwia pozyskiwanie i rozwój oraz utrzymywanie najzdolniejszych pracowników, wpływa na kształtowanie się większej dojrzałości menedżerskiej. Każdy z wymiarów różnicowania stanowi szansę i wyzwanie dla zarządzających organizacjami.

EN

The aim of the article is to signal the essence and importance of managing diversity in the organization. Definitions and understandings of the concept of diversity management are reviewed. The current state of research on diversity management at home and abroad is presented. Achieving the goals set before the article is based on its structure, which includes showing the essence and significance of managing diversity, referring to the management of diversity as a management concept and showing the state of research on diversity management. The research method used in the article is the analysis of available literature and logical inference. As a result of the conducted analyses, the need for continuing work on diversity management and model solutions in this area is evident. Conclusions formulated in the work concern the usefulness of diversity management in the process of management improvement and indicate that diversity management is part of the process of searching for new, more effective tools for dealing with uncertainty. Managing diversity requires knowledge and new competences that will enable the synergy of diversity to be unleashed. Knowledge management facilitates acquisition, development and maintenance of the most talented employees and influences the development of greater managerial maturity. Each of the dimensions of diversity proves a chance and a challenge for the managers of organizations.

5

Optimization of differentiation time of mesenchymal-stem-cell to tenocyte under a cyclic stretching with a microgrooved culture membrane and selected measurement cells

Morita Y., Yamashita T., Toku Y., Yu Y.

Acta of Bioengineering and Biomechanics

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2018

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Vol. 20, no. 1

3--10

EN

There is a need for efficient stem cell-to-tenocyte differentiation techniques for tendon tissue engineering. More than 1 week is required for tenogenic differentiation with chemical stimuli, including co-culturing. Research has begun to examine the utility of mechanical stimuli, which reduces the differentiation time to several days. However, the precise length of time required to differentiate human bone marrow-derived mesenchymal stem cells (hBMSCs) into tenocytes has not been clarified. Understanding the precise time required is important for future tissue engineering projects. Therefore, in this study, a method was developed to more precisely determine the length of time required to differentiate hBMSCs into tenocytes with cyclic stretching stimulus. Methods: First, it had to be determined how stretching stimulation affected the cells. Microgrooved culture membranes were used to suppress cell orientation behavior. Then, only cells oriented parallel to the microgrooves were selected and evaluated for protein synthesis levels for differentiation. Results: The results revealed that growing cells on the microgrooved membrane and selecting optimally-oriented cells for measurement improved the accuracy of the differentiation evaluation, and that hBMSCs differentiated into tenocytes in approximately 10 h. Conclusions: The differentiation time corresponded to the time required for cellular cytoskeleton reorganization and cellular morphology alterations. This suggests that cells, when subjected to mechanical stimulus, secrete mRNAs and proteins for both cytoskeleton reorganization and differentiation.

6

Comparison of Early Evolutions of Mimas and Enceladus

Czechowski L., Witek P.

Acta Geophysica

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2015

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Vol. 63, no. 3

900--921

EN

Thermal history of Mimas and Enceladus is investigated from the beginning of accretion to 400 Myr. The numerical model of convection combined with the parameterized theory is used. The following heat sources are included: short lived and long lived radioactive isotopes, accretion, serpentinization, and phase changes. The heat transfer processes are: conduction, solid state convection, and liquid state convection. We find that temperature of Mimas’ interior was significantly lower than that of Enceladus. If Mimas accreted 1.8 Myr after CAI then the internal melting and differentiation did not occur at all. Comparison of thermal models of Mimas and Enceladus indicates that conditions favorable for the start of tidal heating lasted for a short time (~107 yr) in Mimas and for ~108 yr in Enceladus. This could explain the Mimas-Enceladus paradox. In fact, in view of the chronology based on cometary impact rate, one cannot discard a possibility that also Mimas was for some time active and it has the interior differentiated on porous core and icy mantle.

7

Routines in the process of organizational evolution

Stańczyk-Hugiet E.

Management

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2014

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Vol. 18, no. 2

73--87

EN

The purpose of this article is to outline the cognitive model of organizational evolution taking into account the routines. Organizational evolution requires explanation and understanding of the mechanisms of development: variation, selection and retention. It is necessary also to define the object of evolution. The research results show that organizational routines constitute that object. As for the research purposes, it is important to determine the types of organizational routines. The logic of Nelson and Winter presents that routines appear as operating, generic, and search ones. As a result of the findings in the article, a cognitive model of organizational evolution has been proposed, in which organizational routines are the objects that affect the pattern of organization’s behavior and consequently its effectiveness, which in evolutionary terms is manifested by organization’s survival.

PL

Celem artykułu jest zarysowanie modelu poznania organizacyjnej ewolucji uwzględniającego rutyny. Organizacyjna ewolucja wymaga wyjaśnienia i zrozumienia mechanizmów rozwoju, czyli różnicowania, selekcji i retencji. Koniecznym jest także określenie obiektu ewolucji. Z badań wynika, że tym obiektem są organizacyjne rutyny. Dla badań ważne jest ustalenie rodzajów rutyn organizacyjnych. Z logiki Nelsona i Wintera wynika, że rutyny przejawiają się jako rutyny operacyjne, rodzajowe i tzw. search. W efekcie ustaleń poczynionych w artykule zaproponowano model poznania organizacyjnej ewolucji, w którym rutyny organizacyjne są obiektami wpływającymi na wzorzec zachowania organizacji, a tym samym jej efektywność, która w ujęciu ewolucyjnym przejawia się przetrwaniem organizacji.

8

Wpływ poli(ε-kaprolaktonu) na ekspresję i aktywność fosfatazy alkalicznej w ludzkich komórkach osteogennych

Leszczyńska J., Wójtowicz J., Olkowski R., Komasa J., Ulański P., Lewandowska-Szumieł M.

Engineering of Biomaterials

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2011

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Vol. 14, no. 103

13--16

PL

Poli(ε-kaprolakton) jest materiałem wykorzystywanym jako rusztowanie dla komórek w inżynierii tkankowej kości. Na podstawie danych z literatury oraz naszych własnych badań nad reakcją komórek osteogennych na bezpośredni kontakt z poli(ε-kaprolaktonem) można przypuszczać, iż materiał ten może wpływać na poziom markerów różnicowania komórek w kierunku osteoblastów. Celem niniejszej pracy było zbadanie wpływu poli(ε-kaprolaktonu) na ekspresję oraz aktywność wczesnego markera procesu różnicowania komórek osteogennych, jakim jest fosfataza zasadowa. Przy użyciu reakcji łańcuchowej polimerazy DNA z analizą ilości produktu w czasie rzeczywistym (real-time PCR) analizowano ekspresję genu fosfatazy zasadowej natomiast aktywność enzymu oznaczono kolorymetrycznym testem firmy Sigma. Otrzymane wyniki wskazują, iż kontakt ludzkich osteoblastów z powierzchnią poli(ε-kaprolaktonu) powoduje podwyższoną ekspresję genu fosfatazy zasadowej oraz podwyższoną aktywność tego enzymu. Fosfataza zasadowa nie jest specyficznym markerem osteoblastów, jednakże jej podwyższony poziom towarzyszy wczesnym etapom różnicowania w kierunku fenotypu komórek osteogennych. Uzyskane wyniki uzasadniają podjęcie dalszych badań nad możliwym wpływem poli(ε-kaprolaktonu) na różnicowanie osteoblastów.

EN

Poly(ε-caprolactone) is a material used as a scaffold for cells in bone tissue engineering. On the basis of data from literature as well as own research it was concluded that this material can influence the levels of markers of cell differentiation towards osteoblasts. The aim of this paper was to investigate the effect of poly(ε-caprolactone) on the expression and the activity of the early marker of the cell osteogenic differentiation process – alkaline phosphatase (ALP). Using the quantitative real time polymerase chain reaction (real-time PCR) gene expression of the alkaline phosphatase was analyzed; however, the activity of the enzyme was determined with colorimetric assay from the Sigma company. The obtained results indicated that the contact of human osteoblasts with the surface of poly(ε-caprolactone) causes an increased gene expression of alkaline phosphatase and an increased activity of this enzyme. Although a high level of ALP does not prove the PCL influence on the osteogenic differentiation of cells into mature osteoblasts, because this enzyme is a non-specific marker of the differentiation process. The obtained results justify undertaking further studies on the possible impact of poly(ε-caprolactone) on osteoblast differentiation.