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In this dissertation, we compute the essential p-dimension of the split finite quasi-simple groups of classical Lie type at the defining prime, specifically the quasi-simple groups arising from the general linear and special linear groups, the symplectic groups, and the orthogonal groups. Also, for odd primes l not equal to the defining prime, we compute the essential l-dimension of the finite groups of classical Lie type, specifically the general linear and special linear groups, the symplectic groups, the orthogonal groups, and the unitary groups, and the non-abelian simple factors in their Jordan-Hölder series.

Consider the algebraic function $\Phi_{g,n}$ that assigns to a general $g$-dimensional abelian variety an $n$-torsion point. A question first posed by Kronecker and Klein asks: What is the minimal $d$ such that, after a rational change of variables, the function $\Phi_{g,n}$ can be written as an algebraic function of $d$ variables? Using techniques from the deformation theory of $p$-divisible groups and finite flat group schemes, we answer this question by computing the essential dimension and $p$-dimension of congruence covers of the moduli space of principally polarized abelian varieties. We apply this result to compute the essential $p$-dimension of congruence covers of the moduli space of genus $g$ curves, as well as its hyperelliptic locus, and of certain locally symmetric varieties., Comment: 26 pages. Minor revisions. Comments welcome!

This paper aims to contribute to the construction of multiliteracies pedagogy. We argue that the analysis of focalisation is an essential dimension in multiliteracies pedagogy aimed at promoting th...

This article considers the problem of the idea of participation as an essential dimension of philosophy of education in the context of Karol Wojtyła’s teachings. It proceeds through the concepts of the person and participation. The paper reflects the need for discussion on philosophy of education due to the treatment of individual freedom in an extremely individualistic way. Wojtyła draws on the philosophies of consciousness and the philosophies of being in order to consider the constitution of our ideas in a manner relevant to the education for being together with all people and creatures, with the universe, with the whole world which gives us our own place.

Space—an essential dimension of our life—is analyzable from different viewpoints, which often gives rise to contrasting conceptualizations. Perceptual analyses shed light on the intrinsic anisotropy and deformations of perceived space, raising the issue of which geometry may be able to represent perceptual space. Pictorial drawings and painting have been relevant sources of information about the nature of living and perceived space. Although the geometry of perceptual space is still in its infancy, contributions are beginning to appear. This special issue contributes to the development of the geometry of perceptual space.

Clearly, the smartphone is increasingly playing a greater role in everyday life, thus providing opportunities to evaluate how well the use of the smartphone meets the requirements of undergraduate students in independent learning outside of a classroom setting. This study used the task-technology fit (TTF) model to explore the effectiveness of smartphone usage to interact with learning materials in independent learning outside of classrooms, the need for smartphone support, and the fit of devices to tasks as well as performance. First, the study used interviews, observation, and survey data to identify what are the most important constructs of smartphones that stimulate students to interact with learning materials in independent learning outside of classrooms. Based on the findings from the exploratory study and Task Technology Fit theory, we postulated the Navigation design, Ergonomic design, Content support, and Capacity as the essential dimension of the smartphone construct. Then, we proposed a research model and empirically tested hypotheses with the structural model analysis. The results reveal a significant positive impact of task and technology on TTF for smartphone usage to interact with learning materials in independent learning outside of classrooms; it also confirmed the TTF and performance have a direct effect on actual use.

The author’s basic design concept of an artificial cognitive system is that story generation is an essential dimension of the mind. In this paper, a brief preliminary report on the development of a memory system is presented. The memory system is positioned as a partial system of a cognitive system. Its fundamental roles are to organize a world as a collection of stories and form the forces of generating stories. The memory system is designed as a parallel distributed system. In particular, each memory item—stories, events, concepts, and schemas—corresponds to an internal agent that operates automatically. These memory agents are dynamically organized in a network form through incorporating external simple narrative texts. This organizational process is performed via parallel distributed operations of connection formation and spreading activation among memory agents. The system is implemented in a proof-of-concept fashion. Several preliminary analyses of the system behavior are also presented.

Contemporary studies of conflict have adopted approaches that minimize the importance of negotiation during war or treat it as a constant and mechanical activity. This is strongly related to the lack of systematic data that track and illustrate the complex nature of wartime diplomacy. I address these issues by creating and exploring a new daily-level data set of negotiations in all interstate wars from 1816 to the present. I find strong indications that post-1945 wars feature more frequent negotiations and that these negotiations are far less predictive of war termination. Evidence suggests that increased international pressures for peace and stability after World War II, especially emanating from nuclear weapons and international alliances, account for this trend. These original data and insights establish a dynamic research agenda that enables a more policy-relevant study of conflict management, highlights a historical angle to conflict resolution, and speaks to the utility of viewing diplomacy as an essential dimension to understanding war.

O estudo das emoções dos professores tem vindo a ganhar destaque, sendo atualmente reconhecido como uma dimensão essencial do trabalho docente. Contudo, apesar de ter vindo a ganhar relevância na área educacional, verifica-se uma lacuna de instrumentos quantitativos válidos para mensurar as emoções discretas do professor. Este estudo teve como objetivo traduzir para português e adaptar o Teacher Emotion Questionnaire (TEQ) para a cultura brasileira. Foram envolvidos, 51 participantes, dos quais quatro tradutores, sete especialistas, 40 professores, e ainda as pesquisadoras e autora principal do TEQ original. O presente estudo metodológico de adaptação cultural contou com as seguintes etapas: (1) traduções; (2) síntese das versões traduzidas; (3) comitê de especialistas; (4) avaliação pelo público-alvo; (5) tradução reversa; (6) estudo-piloto. As etapas tradução e síntese foram realizadas adequadamente, tendo sido introduzidas algumas alterações após a apreciação pelos especialistas e público-alvo. O estudo piloto mostrou que o instrumento adaptado é de fácil compreensão e preenchimento. Por fim, após alguns ajustes, a adaptação cultural foi aprovada pela autora principal do TEQ original. O presente estudo realizou o primeiro passo para disponibilizar um instrumento confiável e válido sobre as emoções dos professores. O próximo passo será a exploração das propriedades psicométricas do TEQ - Versão brasileira.

The article deals with theoretical issues of development of urban areas. Usually, urban-rural territory is defined as an idea and phenomenon, which expresses the rejection of the antinomy of the city and the village, their too rigid "physical", or landscape and social distribution. So, the city, the countryside and the space between them are considered as one. It should be noted that strong links of different nature - economic, social, political, cultural, recreational, etc. - are formed between the city and the village. In powerful urban-rural formations exist peripheral suburbs, which allows to combine urban life with rural. Urban-rural territory is a space consisting of several components, namely a large city, smaller cities or towns, villages and their environment. It is considered that the transition from the city center to the province occurs through the middle link - the periphery. The most important driving force behind urban-rural areas is the increase due to population migration to cities and vice versa. This is explained by finding opportunities to meet their own needs. In this context, it should be noted that migrations, especially if they are permanent, are determined by the intensity of the urban-rural connections. They are a consequence of the logistics process. Logistic level can be estimated by agglomerative links. So, urban-rural area is not only a system consisting of geographical space and settlements. At first, it is a system of connections that create a supportive framework of interaction between settlements in time and space, which is determined by various factors such as migration, economic balance, financial flows, environment and more.

Time is an essential dimension of our perception of the world and hence an important dimension for the representation of the real and social world in data models. We give an overview of the basics of representing time in data models and representing objects and processes with respect to the temporal dimension. In particular, we discuss basic concepts and novel developments in the areas of representing time, snapshot data models versus temporal versioning of data models, time-related storage of data in databases, temporal data warehouses and databases, schema evolution, and the representation and checking of temporal integrity constraints.

The purpose of this text is to discuss the relationship between soccer and dictatorship through interviews with some Brazilian Olympic soccer players who competed in the 1968 Olympic Games. It is noteworthy that, at that time, the athletes who went to the Olympic Games were amateurs. Through the narratives, we intend to analyze that, under the discourses that they were young and did not understand the political context, there was an essential dimension of the soccer player’s career: the uncertainty. To politically position oneself could generate consequences and difficulties to sign contracts as professional players.

One essential dimension of Toegye’s thought is the concept of principle (i/li) in relation to Neo-Confucian metaphysics and ethics. This chapter discusses this key topic and concludes that Toegye developed an inspiring, original interpretation that enriches and vitalizes the inner moral and religious depth of Zhu Xi Neo-Confucianism (Seongnihak) in Korea.

Education must guide students’ emotional development, not only to improve their skills and help them achieve their maximum performance, but to establish the foundations of a more cooperative and compassionate society. Achieving the Sustainable Development Goals, therefore, implies focusing on emotional aspects as well as financial, social, environmental, and scientific objectives. In this line, the goal of this study is to show how emotional intelligence, which is an essential dimension in the development and management of emotional competences required to build sustainable societies, plays a key role in optimising student’s academic performance in the classroom through compassion and academic commitment. The research model was tested with a questionnaire addressed to 550 students from four higher education institutions and one secondary school. The results of a structural equation analysis confirmed the study hypotheses. Emotional intelligence was shown to be positively related to compassion and higher levels of commitment, which, consequently, led to better academic performance. This finding will encourage interest in developing emotional intelligence, not only for its long-term value in training healthy citizens, but also for its short-term results in the classroom.

Resumen En el presente artículo se expone la crítica de Marx a la igualdad como dimensión fundamental de la ciudadanía moderna. Para ello, se enlaza la temprana crítica marxiana a “la esfera celestial” ciudadana con el modo en que se articulan los procesos de producción y circulación en la configuración de las sociedades modernas según la lógica mercantil y la lógica del capital. Según nuestra tesis, la economía política de Marx nos ofrece elementos para entender mejor, y de manera más integral, su crítica temprana, en particular acerca de la relación entre lo público y lo privado, y sobre el lugar de la igualdad ciudadana en la sociedad capitalista. Abstract This paper sets forth Marx’s critique of equality as an essential dimension of modern citizenship. For this purpose, the paper traces a link between the early Marxian critique to the citizen “celestial sphere” with the ways in which production and circulation processes are articulated to set up modern societies, according to the commercial logic and the logic of capital. According to our thesis, Marx’s political economy provides some elements to better understand, and in a more comprehensive way, his early criticism, particularly about the relationship between the public and the private, and about the place of the citizen equality in the capitalist society.

Globally, the manufacturing industry is gearing up for the next level of industrial revolution, and it is called smart manufacturing or Industry 4.0. This chapter aims to discuss various aspects of performability for next-generation manufacturing systems. “Intelligence” is identified as an essential dimension of performability for such systems. Various elements of this new dimension are discussed, and the associated technologies are mapped. New business models that utilize the performability of the next-generation manufacturing systems are presented. Finally, a new philosophy, namely, “Manufacturing by Mass,” is built to capitalize the full potential of intelligent factories.

In this note we give simplified proofs of rectifiability of RCD(K,N) spaces as metric measure spaces and lower semicontinuity of the essential dimension, via -splitting maps. The arguments are inspired by the Cheeger-Colding theory for Ricci limits and rely on the second order differential calculus developed by Gigli and on the convergence and stability results by Ambrosio-Honda. peerReviewed

There is a growing literature on the healing effects of buildings designed for healthcare, but publications that insist on this spiritual and healing dimension in church architecture are rare. Contemporary ecclesial buildings are often rightly criticized for their cold and soulless emptiness. However, through the analysis of four emblematic case studies, this article aims to lay bare an essential dimension of architecture that is often overlooked, a multisensory and synaesthetic dimension that engages our body even before we become aware of it. Hence, this article builds upon the recurrent plea of spatial theorists, philosophers, and architects for synaesthetic space as a reaction to a dominant ocularcentric environment. Surprisingly, contemporary church architecture seems rather propitious to deploy this inherently religious dimension that is at once healing and spiritual in a new sense, which is especially needed nowadays.

This study investigates the varying effect of performance feedback on performance, depending on the task context. Specifically, we analyze the state of completion (of a product or process) as an essential dimension of the task context. Using a laboratory experiment, we predict and find that performance is lower under completion than under non-completion. Further, we predict and find that the effect of performance feedback on performance differs depending on the state of completion. Specifically, performance feedback increases performance under completion. However, on average, performance feedback is ineffective for non-completion. Our results extend research on the interplay between feedback and contextual factors within firms by providing initial evidence of the impact of the state of completion. In addition, our study has important implications for performance feedback design choices.

We use a recent advance in birational geometry to prove new lower bounds on the essential dimension of some finite groups.

Essential dimension of a family of complex manifolds is the dimension of the image of its base in the Kuranishi space of the fiber. We prove that any family of hyperkahler manifolds over a compact simply connected base has essential dimension not greater than 1 . A similar result about families of complex tori is also obtained.

Suppose $G$ is a finite group and $p$ is either a prime number or $0$. For $p$ positive, we say that $G$ is weakly tame at $p$ if $G$ has no non-trivial normal $p$-subgroups. By convention we say that every finite group is weakly tame at $0$. Now suppose that $G$ is a finite group which is weakly tame at the residue characteristic of a discrete valuation ring $R$. Our main result shows that the essential dimension of $G$ over the fraction field $K$ of $R$ is at least as large as the essential dimension of $G$ over the residue field $k$. We also prove a more general statement of this type for a class of ��tale gerbes over $R$. As a corollary, we show that, if $G$ is weakly tame at $p$ and $k$ is any field of characteristic $p >0$ containing the algebraic closure of $\mathbb{F}_p$, then the essential dimension of $G$ over $k$ is less than or equal to the essential dimension of $G$ over any characteristic $0$ field. A conjecture of A. Ledet asserts that the essential dimension, $\mathrm{ed}_k(\mathbb{Z}/p^n\mathbb{Z})$, of the cyclic group of order $p^n$ over a field $k$ is equal to $n$ whenever $k$ is a field of characteristic $p$. We show that this conjecture implies that $\mathrm{ed}_{\mathbb{C}}(G) \geq n$ for any finite group $G$ which is weakly tame at $p$ and contains an element of order $p^n$. To the best of our knowledge, an unconditional proof of the last inequality is out of the reach of all presently known techniques., 16 pages. Corrected some minor mistakes, improved the exposition, and added some additional examples. To appear in Documenta Mathematica

Interest in essential dimension problems has been growing over the past decade. In part, it is because the idea of essential dimension captures quite elegantly the problem of parametrizing a wide range of algebraic objects. But perhaps more, it is because the study of essential dimension requires most of the algebraic arsenal. What began as a problem in Galois cohomology and representation theory now has connections to versal torsors, stacks, motives, birational geometry, and invariant theory. This exposition will focus on just a small bit of this theory: algebraic tori and how they can be used to help us calculate the essential p-dimension for PGLn.

In this thesis we study the essential dimension of the first Galois cohomology functors of finite groups. Following the result by N. A. Karpenko and A. S. Merkurjev about the essential dimension of finite p-groups over a field containing a primitive p-th root of unity, we compute the essential dimension of finite cyclic groups and finite abelian groups over a field containing all primitive p-th roots of unity for all prime divisors p of the order of the group. For the computation of the upper bound of the essential dimension we apply the techniques about affine group schemes, and for the lower bound we make use of the tools of canonical dimension and fibered categories. We also compute the essential dimension of small groups over the field of rational numbers to illustrate the behavior of essential dimension when the base field does not contain all relevant primitive roots of unity.

The task of identifying similar regions within and between cities is an important aspect of urban data science as well as applied domains such as real estate, tourism, and urban planning. Regional similarity is typically assessed through comparing socio-demographic variables, resource availability, or urban infrastructure. An essential dimension, often overlooked for this task, is the spatiotemporal mobility patterns of people within a city. In this work we present a novel approach to identifying regional similarity based on human mobility as proxied through micromobility trips. We use a dataset consisting of e-scooter trip origins and destinations for two major European cities that differ in population size and urban structure. Three dimensions of these data are used in modeling the spatial and temporal variability in movement between regions in cities, allowing us to compare regions through a mobility lens. The result is a parameterized similarity model and interactive web platform for comparing regions across different urban environments. The application of this model suggests that human mobility patterns are a quantifiable, unique, and appropriate characteristic through which to measure urban similarity.