general transformation
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Author(s):  
Musa Midila Ahmed

Purpose: The general increase in popularity of information and communication technology (ICT) leads to its integration into the education systems worldwide. Nowadays, educational institutions uses relevant ICT tools to create, read, store, update, and communicate information as well as enrich educational management decisions. Furthermore, ICT serves as an important instrument for teaching and learning communications in educational system especially with the evolution of flipped classroom and blended learning to complimenting the normal classroom. This study is to identify the instructional role of ICT in the education system in the lockdown for the COVID-19 pandemic globally. Design/Methodology/Approach: The study covers novel approaches in the use of ICT for instruction, its role in educational access and quality of education as well as learners’ academic achievement in the lockdown period for COVID-19 pandemic Findings/Result: The use of ICT in education systems and its integration in instructional services results in agile, effective, efficient, and flexible learning. The use of this technology enhances accessibility and quality of education in the COVID-19 lockdown period. ICT eliminates the traditional face-to-face instructions by creating virtual learning environment whereby educators and learners interact at their comforts in a seamless manner. Courses can be taken online at less cost far cheaper than the traditional physical learning environment. Also, ICT promotes learners’ motivation as well as enhances learners’ engagement in learning activities ultimately facilitates the shift to the desired learner-centred method. Therefore, when ICT is appropriately utilized in educational systems, it serves as an instrument for enhancing the quality of education and the general transformation of educational systems for enhanced students’ academic achievement. Originality/Value: A flexible and efficient interaction among educational stakeholders; educational administrators, parents, educators and learners is a critical factor for enhancing learners’ academic achievement in the COVID-19 lockdown. In conclusion, this study recommends further empirical studies on the impact of ICT on learners’ academic achievement during the COVID-19 lockdown. Paper Type: Conceptual Research.


Axioms ◽  
2021 ◽  
Vol 10 (4) ◽  
pp. 318
Author(s):  
Junesang Choi ◽  
Gradimir V. Milovanović ◽  
Arjun K. Rathie

By employing two well-known Euler’s transformations for the hypergeometric function 2F1, Liu and Wang established numerous general transformation and reduction formulas for the Kampé de Fériet function and deduced many new summation formulas for the Kampé de Fériet function with the aid of classical summation theorems for the 2F1 due to Kummer, Gauss and Bailey. Here, by making a fundamental use of the above-mentioned reduction formulas, we aim to establish 32 general summation formulas for the Kampé de Fériet function with the help of generalizations of the above-referred summation formulas for the 2F1 due to Kummer, Gauss and Bailey. Relevant connections of some particular cases of our main identities, among numerous ones, with those known formulas are explicitly indicated.


Aschkenas ◽  
2021 ◽  
Vol 31 (2) ◽  
pp. 325-344
Author(s):  
Robert Jütte

Abstract Studies in cultural, religious and social history reveal that hair has diverse socio-religious and symbolic value in Jewish society and tradition. The focus of previous studies has, however, lied on issues such as specific hairstyle or the halakhic justifications for religious wig-wearing The present paper sets out to illuminate a related yet uncharted topic: the social and economic history of the wig trade in which Jews played an important role. The focus is on the eighteenth and nineteenth centuries, a period marked by great tensions within the Jewish community. It was these tensions that turned the question of wig-wearing and the dynamics of supply into an issue that reflected the general transformation that Jewish society was undergoing in this period. Hair fashion is, of course, not necessarily a matter of only halakhic interest, and indeed the history of the trade with human hair also reveals new aspects of the economic history of Jews.


2021 ◽  
Vol 118 (34) ◽  
pp. e2111144118 ◽  
Author(s):  
Kevin Patrick Griffin ◽  
Lin Fu ◽  
Parviz Moin

In this work, a transformation, which maps the mean velocity profiles of compressible wall-bounded turbulent flows to the incompressible law of the wall, is proposed. Unlike existing approaches, the proposed transformation successfully collapses, without specific tuning, numerical simulation data from fully developed channel and pipe flows, and boundary layers with or without heat transfer. In all these cases, the transformation is successful across the entire inner layer of the boundary layer (including the viscous sublayer, buffer layer, and logarithmic layer), recovers the asymptotically exact near-wall behavior in the viscous sublayer, and is consistent with the near balance of turbulence production and dissipation in the logarithmic region of the boundary layer. The performance of the transformation is verified for compressible wall-bounded flows with edge Mach numbers ranging from 0 to 15 and friction Reynolds numbers ranging from 200 to 2,000. Based on physical arguments, we show that such a general transformation exists for compressible wall-bounded turbulence regardless of the wall thermal condition.


2021 ◽  
Author(s):  
Amicia Lee ◽  
Holger Stünitz ◽  
Mathieu Soret ◽  
Matheus Battisti

Unaltered mafic rocks consist of mechanically strong minerals (e.g. pyroxene, plagioclase and garnet) that can be deformed by crystal plastic mechanisms only at high temperatures (>800°C). Yet, many mafic rocks do show extensive deformation by non-brittle mechanisms when they have been subjected to lower temperature conditions. In such cases, the deformation typically is assisted by mineral reactions. Here we show that dissolution-precipitation creep (as a type of diffusion creep) plays a major role in deformation of gabbro lenses at upper amphibolite facies conditions. The Kågen gabbro exposed on south Arnøya is comprised of almost undeformed gabbro lenses with sheared margins wrapping around them. The shearing has taken place at temperatures of 690 ± 25 °C and pressures of 1.0 to 1.1 GPa. This contribution analyses the evolution of the microstructures and fabric of the low strain gabbro to high strain margins. Microstructural and crystallographic preferred orientation (CPO) data indicate that dissolution-precipitation creep is the dominant deformation mechanism, where dissolution of the gabbro took place in reacting phases of clinopyroxene and plagioclase, and precipitation took place in the form of new minerals: new plagioclase and clinopyroxene (with different composition), amphibole, and garnet. Amphibole shows a strong CPO that is primarily controlled by its preferential growth in the stretching direction. Synchronous deformation and mineral reactions of clinopyroxene suggest that mafic rocks can become mechanically weak during a general transformation weakening process, i.e. the interaction of mineral reaction and deformation by diffusion creep. The weakening is directly connected to a fluid-assisted transformation process that facilitates diffusion creep deformation of strong minerals at far lower stresses and temperatures than dislocation creep. Initially strong lithologies can become weak, provided that reactions can proceed during deformation; the transformation process itself is an important weakening mechanism in mafic (and other) rocks, facilitating deformation at low differential stresses and low stress exponents.


Author(s):  
Helen W. J. Zhang

Since the study by Jacobi and Hecke, Hecke-type identities have received a lot of attention. In this paper, we obtain a general transformation formula for [Formula: see text]-series. Based on this formula, we derive a new [Formula: see text]-formula in this paper, which clearly includes infinitely many [Formula: see text]-identities. Other identities of Andrews and Liu and new identities for Hecke-type series are also discussed. As applications, we utilize some of these Hecke-type identities to establish families of inequalities for several partition functions.


2021 ◽  
Vol 11 (16) ◽  
pp. 7205
Author(s):  
Nataliia Nastasiienko ◽  
Tetiana Kulik ◽  
Borys Palianytsia ◽  
Julia Laskin ◽  
Tetiana Cherniavska ◽  
...  

Understanding the mechanisms of thermal transformations of model lignin compounds (MLC) over nanoscale catalysts is important for improving the technologic processes occurring in the pyrolytic conversion of lignocellulose biomass into biofuels and value-added chemicals. Herein, we investigate catalytic pyrolysis of MLC (pyrocatechol (P), guaiacol (G), ferulic (FA), and vanillic acids (VA)) over nanoceria using FT-IR spectroscopy, temperature-programmed desorption mass spectrometry (TPD MS), and thermogravimetric analysis (DTG/DTA/TG). FT-IR spectroscopic studies indicate that the active groups of aromatic rings of P, G, VA, and FA as well as carboxylate groups of VA and FA are involved in the interaction with nanoceria surface. We explore the general transformation mechanisms of different surface complexes and identify their decomposition products. We demonstrate that decomposition of carboxylate acid complexes occurs by decarboxylation. When FA is used as a precursor, this reaction generates 4-vinylguaiacol. Complexes of VA and FA formed through both active groups of the aromatic ring and decompose on the CeO2 surface to generate hydroxybenzene. The formation of alkylated products accompanies catalytic pyrolysis of acids due to processes of transalkylation on the surface.


2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Bartosz Regula ◽  
Ryuji Takagi

AbstractQuantum channels underlie the dynamics of quantum systems, but in many practical settings it is the channels themselves that require processing. We establish universal limitations on the processing of both quantum states and channels, expressed in the form of no-go theorems and quantitative bounds for the manipulation of general quantum channel resources under the most general transformation protocols. Focusing on the class of distillation tasks — which can be understood either as the purification of noisy channels into unitary ones, or the extraction of state-based resources from channels — we develop fundamental restrictions on the error incurred in such transformations, and comprehensive lower bounds for the overhead of any distillation protocol. In the asymptotic setting, our results yield broadly applicable bounds for rates of distillation. We demonstrate our results through applications to fault-tolerant quantum computation, where we obtain state-of-the-art lower bounds for the overhead cost of magic state distillation, as well as to quantum communication, where we recover a number of strong converse bounds for quantum channel capacity.


2021 ◽  
pp. 462-476
Author(s):  
D. V. Shchukin ◽  
O. G. Nekrylova

The state policy of the Soviet government in relation to the system of public education in the initial period of the formation of the Soviet state is considered. The relevance of the study is due to the content and organizational side of the transformations of the Soviet power in the field of public education in the 1920s, which is today of substantive interest for modern education from the applied standpoint of pedagogical practices and innovations in terms of their effectiveness and professional suitability. The authors focus on the general nature of managerial experiments that took place in the school system in the 1920s in the context of the general transformation of the country. A detailed analysis of the organizational foundations of the reform of the education system was carried out, the structure of educational institutions of the period under review was studied, its graphical diagram was built, an overview of the content and overview of school education was made. The novelty of the research lies in the presented subject analysis of the content of curricula and school programs of the 1920s, the construction of a consistent line of reforms in education implemented by the Soviet government in the context of their further effectiveness and historical results. Conclusions are made about the content side of these transformations within the framework of a complex of pedagogical ideas and new practices in education.


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