The algebraic surfaces contained by a cubic primal in four dimensions

1933 ◽  
Vol 29 (4) ◽  
pp. 484-486
Author(s):  
J. W. Archbold
Keyword(s):  
Point Of View ◽  
Algebraic Surfaces ◽  
Four Dimensions

1. In this note we investigate, from a new point of view, some properties of cubic primals in [4]. These are enunciated by Fano as follows.

scholarly journals LARGE QUANTUM GRAVITY EFFECTS: CYLINDRICAL WAVES IN FOUR DIMENSIONS

2000 ◽  
Vol 09 (06) ◽  
pp. 669-686 ◽  
Author(s):  
MARÍA E. ANGULO ◽  
GUILLERMO A. MENA MARUGÁN
Keyword(s):  
Quantum Gravity ◽  
Symmetry Axis ◽  
Point Of View ◽  
Three Dimensions ◽  
Asymptotic Region ◽  
Four Dimensions ◽  
Cylindrical Waves ◽  
Significant Difference ◽  
Gravity Effects ◽  
Linearly Polarized

Linearly polarized cylindrical waves in four-dimensional vacuum gravity are mathematically equivalent to rotationally symmetric gravity coupled to a Maxwell (or Klein–Gordon) field in three dimensions. The quantization of this latter system was performed by Ashtekar and Pierri in a recent work. Employing that quantization, we obtain here a complete quantum theory which describes the four-dimensional geometry of the Einstein–Rosen waves. In particular, we construct regularized operators to represent the metric. It is shown that the results achieved by Ashtekar about the existence of important quantum gravity effects in the Einstein–Maxwell system at large distances from the symmetry axis continue to be valid from a four-dimensional point of view. The only significant difference is that, in order to admit an approximate classical description in the asymptotic region, states that are coherent in the Maxwell field need not contain a large number of photons anymore. We also analyze the metric fluctuations on the symmetry axis and argue that they are generally relevant for all of the coherent states.

DataPro

2021 ◽  
pp. 98-108
Author(s):  
Vala Ali Rohani ◽  
Sedigheh Moghavvemi ◽  
Tiago Pinho ◽  
Paulo Caldas
Keyword(s):  
Artificial Intelligence ◽  
Big Data ◽  
Unemployment Rate ◽  
Recommender System ◽  
Social Problems ◽  
National Level ◽  
Point Of View ◽  
Web Based ◽  
Four Dimensions ◽  
Online Portal

Due to the COVID‐19 pandemic, most countries are exposed to unprecedented social problems in the current global situation. According to the official reports, it caused a dramatic increase of 44% in graduates' unemployment rate in Portugal. Moreover, from the human resource point of view, the whole of Europe is expected to face a shortage of 925,000 data professionals by 2025. Given the existing situations, the DataPro aims to propose a national-level reskilling solution in big data to mitigate both social problems of unemployability and the shortage of data professionals in Portugal. DataPro project consists of four dimensions, including an online portal for the hiring companies and unemployed graduates, along with a web-based analytics talent upskilling (ATU) platform empowered by an artificial intelligence recommender system to match the reskilled data professionals and the hiring companies.

scholarly journals Platonic solids generate their four-dimensional analogues

2013 ◽  
Vol 69 (6) ◽  
pp. 592-602 ◽  
Author(s):  
Pierre-Philippe Dechant
Keyword(s):  
Coxeter Groups ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Root Systems ◽  
Point Of View ◽  
Platonic Solids ◽  
Four Dimensions ◽  
Potential Applications ◽  
Regular Convex ◽  
Quasi Crystals

This paper shows how regular convex 4-polytopes – the analogues of the Platonic solids in four dimensions – can be constructed from three-dimensional considerations concerning the Platonic solids alone.Viathe Cartan–Dieudonné theorem, the reflective symmetries of the Platonic solids generate rotations. In a Clifford algebra framework, the space of spinors generating such three-dimensional rotations has a natural four-dimensional Euclidean structure. The spinors arising from the Platonic solids can thus in turn be interpreted as vertices in four-dimensional space, giving a simple construction of the four-dimensional polytopes 16-cell, 24-cell, theF4root system and the 600-cell. In particular, these polytopes have `mysterious' symmetries, that are almost trivial when seen from the three-dimensional spinorial point of view. In fact, all these induced polytopes are also known to be root systems and thus generate rank-4 Coxeter groups, which can be shown to be a general property of the spinor construction. These considerations thus also apply to other root systems such as A_{1}\oplus I_{2}(n) which induces I_{2}(n)\oplus I_{2}(n), explaining the existence of the grand antiprism and the snub 24-cell, as well as their symmetries. These results are discussed in the wider mathematical context of Arnold's trinities and the McKay correspondence. These results are thus a novel link between the geometries of three and four dimensions, with interesting potential applications on both sides of the correspondence, to real three-dimensional systems with polyhedral symmetries such as (quasi)crystals and viruses, as well as four-dimensional geometries arising for instance in Grand Unified Theories and string and M-theory.

scholarly journals Diseño y validación de una escala para evaluar el funcionamiento de las tutorías en Educación Secundaria

2019 ◽  
Vol 37 (2) ◽  
pp. 525-541 ◽  
Author(s):  
Víctor León Carrascosa ◽  
María José Fernández Díaz
Keyword(s):  
Secondary Education ◽  
Basic Education ◽  
Reliability And Validity ◽  
Point Of View ◽  
Professional Experience ◽  
Theoretical Point ◽  
Psychometric Characteristics ◽  
Four Dimensions ◽  
Different Types ◽  
Discrimination Coefficient

El desarrollo de la función tutorial es clave para la formación integral de los estudiantes. En los últimos años las investigaciones sobre este tema se centran en la educación superior relegando a segundo plano su desarrollo en la educación básica. En este sentido, el presente trabajo tiene como objetivo diseñar y validar un instrumento de medida sobre la valoración de las tutorías en Educación Secundaria Obligatoria y Posobligatoria, fundamentado teóricamente, que reúna las características psicométricas exigidas: fiabilidad, homogeneidad de los ítems y validez. La muestra del estudio está compuesta por 4254 estudiantes de Educación Secundaria Obligatoria y Postobligatoria correspondientes a los diferentes tipos de centros educativos de la Comunidad Autónoma de Madrid (CAM). A raíz de la literatura consultada y la experiencia profesional se consideraron cuatro dimensiones sobre la práctica tutorial donde se analizó la fiabilidad (Alfa de Cronbach total del instrumento: 0.929, y por dimensiones, Funciones con el alumnado: 0.868; Funciones con las familias: 0.649; Desarrollo: 0.797; Evaluación: 0.876), los valores del coeficiente de discriminación de los ítems (datos superiores a 0.2, según Hair et al., 2014) y el Análisis Factorial Confirmatorio (χ2/gl= 0.0254; CFI= 0.940; RMSEA: 0.044; PRATIO=0.894) obteniendo resultados satisfactorios. Por todo ello, el instrumento propuesto contribuye al estudio de las tutorías, tanto desde un punto de vista teórico como por sus características psicométricas relativas a su fiabilidad y validez. De igual modo, el instrumento se constituye como una herramienta de utilidad en el desarrollo de las tutorías, atendiendo las demandas y necesidades de sus estudiantes. The development of the tutorial function development is the key for an integral formation of the students. In recent years, research on this topic has been focused on higher education, relegating to a second place its development in basic education. In this sense, the objective of this work is to design and validate a measuring instrument for the assessment of tutorials in Obligatory and Post-obligatory Secondary Education, supported theoretically, that finds the required psychometric characteristics: reliability, homogeneity of the items and validity. The study sample is made up of 4254 students of Compulsory and Post-compulsory Secondary Education corresponding to different types of educational centers in Autonomous Community of Madrid (CAM). As a result of the literature consulted and the professional experience, four dimensions were considered on the tutorial practice where the reliability was analyzed (Alfa of Cronbach total of the instrument: 0.929, and by dimensions, Functions with the students: 0.868; Functions with the families: 0.649; Development: 0.797; Evaluation: 0.876), the values of the discrimination coefficient of the items (data superior to 0.2, according to Hair et al. 2014) and the Confirmatory Factorial Analysis (χ2/gl= 0.0254; CFI=0.940; RMSEA: 0.044; PRATIO=0.894) obtaining satisfactory results. For all these reasons, the proposed instrument contributes to the study of tutorials, both from a theoretical point of view and because of their psychometric characteristics relative to their reliability and validity. Similarly, the instrument constitutes a useful tool in the development of tutorials, meeting the students’ demands and needs.

The Principle of "Effectiveness" in the Recent Jurisprudence of the European Court of Human Rights: Its Different Dimensions and Its Consistency with Public International Law – No Need for the Concept of Treaty Sui Generis

2010 ◽  
Vol 79 (2) ◽  
pp. 245-277 ◽  
Author(s):  
Daniel Rietiker
Keyword(s):  
Human Rights ◽  
International Law ◽  
Point Of View ◽  
European Convention ◽  
Vienna Convention ◽  
Four Dimensions ◽  
European Court ◽  
Different Dimensions ◽  
International Legal System ◽  
Teleological Interpretation

AbstractThe recent past has shown an ever-growing fragmentation of the international legal system where lawyers and judges are facing more and more the phenomenon of the same legal question being discussed in different fora. This is particularly the case in the field of human rights that entails the dispersal of responsibilities for interpretation of numerous instruments among various different judicial and quasi-judicial bodies, of both universal and regional nature. In order to secure coherence and legal certainty in the system, it is important to respect a set of principles and rules of general international law, in particular Articles 31–33 of the 1969 Vienna Convention of the Law of Treaties (VCLT). The first goal of this article is to analyse whether the Court applies the rules of the VCLT to the interpretation of the European Convention on Human Rights (ECHR). Secondly, assuming that the VCLT fully applies, it will be analysed whether Article 31(1) VCLT is flexible enough to allow nevertheless some leeway for the development of specificities, especially as a result of the particular nature of the ECHR. Thirdly, it will be shown that the Court has indeed developed a set of specific methods of interpretation, aiming to render the rights enshrined in the ECHR effective. From the author's point of view, they can all be regarded as sub-forms (or partial aspects) of the teleological interpretation. He distinguishes between four dimensions of the principle of "effectiveness".

On the Orthogonal Groups in Four Dimensions

1931 ◽  
Vol 27 (1) ◽  
pp. 37-48 ◽  
Author(s):  
G. de B. Robinson
Keyword(s):  
Point Of View ◽  
Linear Groups ◽  
Group Property ◽  
Orthogonal Groups ◽  
Four Dimensions

Configurations of points in higher space have been known and studied for some time. In what follows we shall classify those configurations of points lying on the hyper-sphere in [4] which may be said to possess the group property. In this classification we shall seek to enumerate only those configurations which are essentially different from this point of view, in order to bring out any geometrical differences which might throw light on the fundamental problems of the theory of linear groups.

scholarly journals درجة توافر الكفايات المهنية لدى أعضاء هيئة التدريس بجامعة غزة من وجهة نظر طلبتهم

2020 ◽  
Vol 7 (1) ◽  
pp. 69-108
Keyword(s):  
Computer Science ◽  
Undergraduate Students ◽  
Mass Communication ◽  
Point Of View ◽  
High Rate ◽  
Professional Competencies ◽  
Teaching Staff ◽  
Four Dimensions ◽  
Five Disciplines ◽  
Descriptive Method

هدفت الدراسة إلى تعرف درجة توافر الكفايات المهنية لدى أعضاء هيئة التدريس بجامعة غزة من وجهة نظر طلبتهم، واتبعت الدراسة المنهج الوصفي التحليلي، واعتمدت استبانة مكونة من (58 فقرة) موزعة على أربعة مجالات: الكفايات التدريسية، والكفايات التكنولوجية، والكفايات التقويمية، والكفايات الإنسانية. وللحصول على نتائج الدراسة استهدفت الدراسة طلبة جامعة غزة من الكليات الخمس: علوم الحاسوب وتكنولوجيا المعلومات، وعلوم الاتصال واللغات، والعلوم الإدارية والمالية، والقانون، والتربية. وبلغت عينة الدراسة (97) طالبا وطالبة، وأظهرت استجابات عينة الدراسة أن درجة توافر الكفايات المهنية لدى أعضاء هيئة التدريس بجامعة غزة من وجهة نظر طلبتهم كانت عالية (وزن نسبي=72.56%)، وكانت درجة توافر الكفايات لمجالات الدراسة الأربع على الترتيب: الكفايات الإنسانية (وزن نسبي= 74.37%)، والكفايات التقويمية (وزن نسبي= 74.08%)، والكفايات التدريسية (وزن نسبي= 73.40%)، والكفايات التكنولوجية (وزن نسبي= 68.51%)، وجميعها عالية ؛ وأظهرت الدراسة وجود فروق ذات دلالة إحصائية لاستجابة الطلبة على درجة توافر الكفايات المهنية تُعزى لمتغير الجنس لصالح الطلبة الذكور، ووجود فروق ذات دلالة إحصائية تُعزى لمتغير الكلية لصالح كلية علوم الحاسوب وتكنولوجيا المعلومات، وأوصت الدراسة بزيادة الاهتمام بتطوير الكفايات المهنية لأعضاء هيئة التدريس، والوصول بها إلى درجات متميزة، وتنظيم ورش عمل تدريبية لأعضاء هيئة التدريس في أساليب التدريس والتقويم. The study aimed to identify to which degree the professional competencies are available among the teaching staff of Gaza University from the students’ point of view. The study used the analytical-descriptive method. The study used a questionnaire consisting of 58 items; these items were categorized into four main dimensions: Teaching Competences, Technology Competences, Evaluation Competences and Human Competencies. The study targeted the students of Gaza University in the five disciplines: Computer Science and Information Technology, Mass Communication and Languages, Business and Financial Sciences, Law, and Education. The sample of the study consisted of 97 undergraduate students. Findings of the study showed that: the availability of professional competencies among the teaching staff of Gaza University was rated “high” (rate= 72.56%) depending on the responses of students. Rates were also “high” in each of the four dimensions: Teaching Competences Dimension (rate= 74.37%), Technology Competences Dimension (rate= 74.08%), Evaluation Competences Dimension (rate= 73.40%), and Human Competencies Dimension (rate= 68.51%). Besides, the study reported statistically significant differences among the responses related to Gender (in favor of Males) and significant differences related to faculty (in favor of faculty of Computer Science). The study recommended paying more attention to the development of professional competencies of teaching staff in addition to conducting training workshops in teaching and evaluation methods.

scholarly journals Clustered Social Representation of Active Methodologies in Engineering Courses a case study at Goiás State, Brazil

2019 ◽  
Vol 6 ◽  
pp. 129-138
Author(s):  
Leonardo Guerra de Rezende Guedes ◽  
João Pedro Aguiar Dos Santos
Keyword(s):  
Learning Style ◽  
Qualitative Evaluation ◽  
Social Representation ◽  
Point Of View ◽  
Four Dimensions ◽  
Psychosocial Profile ◽  
Group Activities ◽  
Catholic University ◽  
The Social

         This work aims to identify changes and trends that favor the students' learning style and autonomy, through a qualitative evaluation of the social representation of students in the development of individual and group activities. Questionnaire application and interviews were carried out at both the Pontifical Catholic University of Goiás (PUC Goiás) and the Federal University of Goiás (UFG). The questionnaire is based on a 7-point Likert scale, which evaluates 13 items in four dimensions. After answering, each item is analyzed by the k-means clustering method, which groups the data unsupervised according to the levels of similarity of each item. With the result, we can point out what are the aspects that determine the skills and psychosocial profile of students, from this, it will be possible to make changes in the methodology applied to benefit the learning process of students, favoring multidisciplinary skills, the courage to face the students. challenges creatively, the ease of adapting to change, working as a team, valuing and understanding one's point of view - with commitment and ethics.

Seven Compact Essays on Color

2019 ◽  
Vol 29 (4) ◽  
pp. 131-209
Keyword(s):  
Hip Hop ◽  
Smart City ◽  
Point Of View ◽  
Hip Hop Culture ◽  
Four Dimensions ◽  
The Enlightenment ◽  
Physical Experiments ◽  
Logical Geometry ◽  
The Relationship

The article is a group effort consisting of an introduction and seven compact essays. It is focused on the problem of color from the perspective of current philosophical discussions on the role of the Enlightenment and the relationship between light and dark. The introduction by Michael Kurtov presents a roadmap for navigating through the seven essays by referring to a schema of “color knowledge” which has four dimensions: luminosity, resolution, saturation, and hue. Each of the texts in the article (the introduction and seven essays) deals mostly with one of “color knowledge”, which are formed by combining three color dimensions. Roman Mikhailov explores the plastic-dynamic correlates of colors and the chromaticity of the text understood broadly both as the text of nature and as an abstract symbolic complex. Eugene Kuchinov offers a “haptic criticism of the Enlightenment,” which is an analysis of color phenomena from the point of view of the skin (not the eye): on the basis of the logic of sensation, color is “viewed” beyond the light, beyond the optics. Yoel Regev develops a hermeneutics of color applied to the Torah: color is interpreted as a deception which is opposed to another deception belonging to a “true enlightenment.” Michael Kurtov addresses a revision of Goethe’s theory of color based on new physical experiments and on the logical geometry of color and then arrives at a critique of contemporary chromo-ideology. Nataliya Tyshkevich reveals the modern political meaning of coloring in the context of the recent “renaissance of modernist aesthetics” in which dealing with form is replaced by dealing with surfaces. Gray Violet describes color and darkness as political functions that turn into each other in the middle of a non-place in the “smart city.” The final piece by Nikita Sazonov elaborates the procedure of colorization by examining noncolor - a resource beyond the colored and the uncolored, most readily manifested in the printed character as well as in modern hip-hop culture.

The Role of Compliance and Conformance in Software Engineering

2015 ◽  
pp. 333-360
Author(s):  
José C. Delgado
Keyword(s):  
Software Engineering ◽  
Point Of View ◽  
Four Dimensions ◽  
Software Artifacts ◽  
Insight Into

One of the most fundamental aspects of software engineering is the ability of software artifacts, namely programs, to interact and to produce applications that are more complex. This is known as interoperability, but, in most cases, it is dealt with at the syntactic level only. This chapter analyzes the interoperability problem from the point of view of abstract software artifacts and proposes a multidimensional framework that not only structures the description of these artifacts but also provides insight into the details of the interaction between them. The framework has four dimensions (lifecycle, concreteness level, concerns, and version). To support and characterize the interaction between artifacts, this chapter uses the concepts of compliance and conformance, which can establish partial interoperability between the artifacts. This reduces coupling while still allowing the required interoperability, which increases adaptability and changeability according to metrics that are proposed and contributes to a sustainable interoperability.

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