A Note on The Abel Matrix Transformations

Let X = (X, p) be a seminormed complex linear space with zero θ. Natural definitions of convergent sequence, Cauchy sequence, absolutely convergent series, etc., can be given in terms of the seminorm p. Let us write C = C(X) for the set of all convergent sequences for the set of Cauchy sequences; and L∞ for the set of all bounded sequences.

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On the Domain of the Triangle on the Spaces of Null, Convergent, and Bounded Sequences

Abstract and Applied Analysis ◽

10.1155/2013/476363 ◽

2013 ◽

Vol 2013 ◽

pp. 1-9 ◽

Cited By ~ 5

Author(s):

Naim L. Braha ◽

Feyzi Başar

Keyword(s):

Type Theorem ◽

Sequence Spaces ◽

Matrix Transformations ◽

Topological Properties ◽

Inclusion Relations ◽

Bounded Sequences ◽

Convergent Sequences

We introduce the spaces of -null, -convergent, and -bounded sequences. We examine some topological properties of the spaces and give some inclusion relations concerning these sequence spaces. Furthermore, we compute -, -, and -duals of these spaces. Finally, we characterize some classes of matrix transformations from the spaces of -bounded and -convergent sequences to the spaces of bounded, almost convergent, almost null, and convergent sequences and present a Steinhaus type theorem.

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Matrix transformations of strongly convergent sequences into Vσ

Filomat ◽

10.2298/fil1003103m ◽

2010 ◽

Vol 24 (3) ◽

pp. 103-109 ◽

Cited By ~ 1

Author(s):

S.A. Mohiuddine ◽

M. Aiyub

Keyword(s):

Matrix Transformations ◽

Matrix Classes ◽

The Matrix ◽

Bounded Sequences ◽

Convergent Sequences

In this paper, we define the spaces ?(p, s) and ?p (s), where ?(p, s) = {x:1/n? k=1 K-s |xk -?|pk ? 0 for some ?, s ? 0} and if pk = p for each k, we have ?(p, s)=?p(s). We further characterize the matrix classes (?(p, s), V? ), (?p (s), V? ) and (?p (s), V? )reg , where V? denotes the set of bounded sequences all of whose ?-mean are equal.

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Some matrix transformations and almost convergence

Kathmandu University Journal of Science Engineering and Technology ◽

10.3126/kuset.v8i2.7330 ◽

2013 ◽

Vol 8 (2) ◽

pp. 89-92 ◽

Cited By ~ 1

Author(s):

Neyaz Ahmad Sheikh ◽

Ab. Hamid Ganie

Keyword(s):

Sequence Space ◽

Matrix Transformations ◽

Almost Convergence ◽

Infinite Matrices ◽

Engineering And Technology ◽

Bounded Sequences ◽

Convergent Sequences

The sequence space bv(u,p) has been defined and the classes (bv(u,p):l?), (bv(u,p):c),and (bv(u,p):c0) of infinite matrices have been characterized by Ba?ar, Altay and Mursaleen ( see, [2] ). The main purposes of the present paper is to characterize the classes (bv(u,p):ƒ?),(bv(u, p):ƒ), and (bv(u,p):ƒ0), where ƒ?, ƒ, and ƒ0 denotes the spaces of almost bounded sequences, almost convergent sequences and almost convergent null sequences, respectively, with real or complex terms. Kathmandu University Journal of Science, Engineering and Technology Vol. 8, No. II, December, 2012, 89-92 DOI: http://dx.doi.org/10.3126/kuset.v8i2.7330

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OUTDOOR CAMP EFFECTS ON ATHLETES: ORIENTEERING EXAMPLE

Baltic Journal of Sport and Health Sciences ◽

10.33607/bjshs.v1i104.18 ◽

2017 ◽

Vol 1 (104) ◽

pp. 55-64 ◽

Cited By ~ 2

Author(s):

Kadir Yıldız ◽

Pınar Güzel ◽

Fırat Çetinöz ◽

Tolga Beşikçi

Keyword(s):

Qualitative Research ◽

Data Analysis ◽

Outdoor Education ◽

Study Group ◽

Analysis Method ◽

Data Collection Tool ◽

Main Research ◽

Interview Technique ◽

Content Analysis Method ◽

Research Questions

Background. In this research, we aimed to investigate the effects of outdoor camps on orienteering athletes. Methods. The study group consisted of 74 athletes (44 males and 30 females, aged 11.94 ± 1.32 years) who participated in Bolu outdoor camp on the 3 rd –13 th of August, 2015. Interview technique, which is one of the qualitative research methods, was used as data collection tool and content analysis method was used for data analysis. Results. Demographic factors were interpreted after the analysis of the obtained data and three main research questions were discussed under the topics of the views of athletes about the concept of Orienteering which is an outdoor sport, themes and codes regarding the purpose of Orienteering by the students who participated in the outdoor camp, and themes and codes about the outcomes of Orienteering for the students who participated in outdoor camps. Conclusion. It is suggested that a policy must be developed within the Ministry of Youth and Sport and Sport Federations in order to disseminate more deliberate and more comprehensive outdoor education among young people and measures should be taken to provide extensive participation.

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ENGINEERING STUDENT ATTAINMENT AND ENGAGEMENT THROUGHOUT THE DESIGN PROCESS

Proceedings of the Design Society ◽

10.1017/pds.2021.137 ◽

2021 ◽

Vol 1 ◽

pp. 1373-1382

Author(s):

Avril Thomson ◽

Hilary Grierson

Keyword(s):

Design Process ◽

Engineering Students ◽

Project Work ◽

Design Engineering ◽

Engineering Student ◽

Online Questionnaire ◽

Main Research ◽

Research Questions ◽

Design Students ◽

Major Project

AbstractThe paper reports on a study that aims to gain an understanding of how senior engineering design students engage and attain throughout the various stages of the design process during a major design project. Following a literature review it sets out to answer 3 main research questionsQ1. Do students engage more with certain stages of the design process during major project work?;Q2. Do students attain better during certain phases of the design process during major project ?Q3. Is there a difference in this attainment between year groups of the same degree programme ?The methodology adopted employs an analysis of marks and an online questionnaire to collect data. Patterns and trends in how senior BEng and MEng Product Design Engineering students engage and attain within the design process are presented, identified and discussed and in turn used to inform reflection on the research questions set.

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Shear Behavior of a Reinforced Concrete Frame Retrofitted with a Hinged Steel Damping System

Sustainability ◽

10.3390/su122410360 ◽

2020 ◽

Vol 12 (24) ◽

pp. 10360

Author(s):

Hyun-Do Yun ◽

Sun-Woong Kim ◽

Wan-Shin Park ◽

Sun-Woo Kim

Keyword(s):

Reinforced Concrete ◽

Shear Behavior ◽

Seismic Retrofitting ◽

Reinforced Concrete Frame ◽

Main Research ◽

Torsion Spring ◽

Concrete Frame ◽

Energy Dissipation Capacity ◽

Research Questions ◽

Torsion Springs

The purpose of this study was to experimentally evaluate the effect of a hinged steel damping system on the shear behavior of a nonductile reinforced concrete frame with an opening. For the experimental test, a total of three full-scale reinforced concrete frame specimens were planned, based on the “no retrofitting” (NR) specimens with non-seismic details. The main research questions were whether the hinged steel damping system is reinforced and whether torsion springs are installed in the hinged steel damping system. From the results of the experiment, the hinged steel damping system (DR specimen) was found to be effective in seismic retrofitting, while isolating the opening of the reinforced concrete (RC) frame, and the torsion spring installed at the hinged connection (DSR specimen) was evaluated to be effective in controlling the amount of deformation of the upper and lower dampers. The strength, stiffness, and energy dissipation capacity of the DSR specimen were slightly improved compared to the DR specimen, and it was confirmed that stress redistribution was induced by the rotational stiffness of the torsion spring installed in the hinge connection between the upper and lower frames.

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Online or Offline Services for Urban Neighbourhoods?

International Journal of E-Planning Research ◽

10.4018/ijepr.2019010104 ◽

2019 ◽

Vol 8 (1) ◽

pp. 50-67

Author(s):

Lukasz Damurski ◽

Jacek Pluta ◽

Jerzy Ładysz ◽

Magdalena Mayer-Wydra

Keyword(s):

Virtual Environments ◽

Local Scale ◽

Research Model ◽

Central Places ◽

Main Research ◽

Services Sector ◽

Urban Neighbourhoods ◽

Research Problems ◽

Research Questions ◽

Strong Competition

Services originally developed as natural concentrations of human activity, reflecting the Christallerian hierarchy of central places. Today, those natural mechanisms are challenged by strong competition from online facilities. More and more services are offered by the internet and this affects the traditional ‘bricks-and-mortar' urban development. In this article, the main research problems of the inter-relatedness of real and virtual environments are defined in the context of urban neighbourhood service centres. The process of conversion from offline services into online ones is treated as a canvas for building a comprehensive research model for studying the development of the contemporary urban services sector in the local scale. Particular research questions and hypotheses are formulated and followed by a set of methods for further empirical research.

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Identification Elements Symmetry in Teaching Informatics in Czech Secondary School during the Covid-19 Outbreak from the Perspective of Students

Symmetry ◽

10.3390/sym12111768 ◽

2020 ◽

Vol 12 (11) ◽

pp. 1768

Author(s):

R. Nemec ◽

A. Jahodova Berkova ◽

S. Hubalovsky

Keyword(s):

Distance Education ◽

Secondary School ◽

The Self ◽

The Czech Republic ◽

Main Research ◽

Face To Face ◽

Classical State ◽

Anonymous Questionnaire ◽

Research Questions ◽

Students Attitudes

This article describes the research results aimed at distance education during the Covid-19 pandemic and closing schools and its symmetry with the classical state in terms of time, difficulty, and the mental and physical condition of students. An important aspect is therefore to maintain the symmetry of attitudes to teaching in face-to-face form and distance form. In terms of the eight-year gymnasium in the Czech Republic, students’ attitudes to the teaching subject informatics were investigated. The main research questions in our study dealt with whether students felt equally balanced regarding the amount of tasks and time taken for home preparation during the Covid-19 outbreak compared with the time before the quarantine and their condition (both mental and physical) during the Covid-19 outbreak. The research was conducted using an anonymous questionnaire, which was answered by 110 out of 180 students. According to the results, it is evident that students felt that during the distance education, there are more tasks compared to face-to-face ones. Students also claimed to spend more time learning at distance education than at school. On the other hand, they agreed that the self-education schedule is suitable for them. In terms of the questionnaire, their condition (both mental and physical) was also evaluated, which was slightly above the average.

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Chemotherapy-Related Differences in Cognitive Functioning and Their Biological Predictors in Patients with Multiple Myeloma

Brain Sciences ◽

10.3390/brainsci11091166 ◽

2021 ◽

Vol 11 (9) ◽

pp. 1166

Author(s):

Magdalena Bury-Kamińska ◽

Aneta Szudy-Szczyrek ◽

Aleksandra Nowaczyńska ◽

Olga Jankowska-Łęcka ◽

Marek Hus ◽

...

Keyword(s):

Multiple Myeloma ◽

Cognitive Functioning ◽

Cognitive Processes ◽

Elisa Test ◽

Cognitive State ◽

Biological Factors ◽

Main Research ◽

Tnf Α ◽

Treatment Stage ◽

Research Questions

The paper presents a study on the changes in cognitive functioning in patients undergoing chemotherapy with diagnosed multiple myeloma (MM). The aim of the study was to answer the following two main research questions: Does the treatment stage differentiate the functioning of cognitive processes in patients with diagnosed MM and to what extent? Is it possible to treat biological factors (TNF-α, IL-6, IL-10, and BDNF) as predictors of patients’ cognitive functioning? The patients were examined twice, before the treatment and after 4–6 cycles of chemotherapy. Selected neuropsychological research methods as well as experimental and clinical trials were employed to diagnose the patients’ general cognitive state, attention, memory, and executive functions. The level of biological factors was assessed with the ELISA test. The results show that the patients’ cognitive functioning was worse before the treatment than during the cytostatic therapy. It was also possible to predict the cognitive state of patients suffering from multiple myeloma based on a selected biological parameter (neurotrophin BDNF).

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