Space Theory Research Articles

Application of colour theory and visual merchandising principles in retail spaces

In retail settings, the strategic application of color theory and visual merchandising concepts is essential for influencing customer perception and increasing sales. One of the most obvious visual cues, color has a significant psychological impact on consumers, affecting their mood, perception, and buying habits. Retailers can create aesthetically pleasing spaces that suit their brand identity and client preferences by utilizing color theory concepts like complementary colours, warm versus cold tones, and color harmony. For instance, cool hues like blue and green express serenity and trust, while warm hues like red and yellow are frequently employed to convey a sense of urgency and enthusiasm. The creative placement of goods and displays to maximize consumer interaction and promote sales is known as visual merchandising. The utilization of contrasts, lighting, focal points, and product placement are important guidelines. Together with color theory, these components produce an engaging shopping experience that improves product visibility, makes navigating the store easier, and leads shoppers through it with ease. In addition to drawing in new clients, the strategic use of color psychology and visual merchandising strategies also affects their purchasing habits, increasing sales and building brand loyalty. Retail spaces may be transformed into dynamic, captivating settings that emotionally connect with customers through the use of this comprehensive strategy.

Integrating the disciplines: Applying sociology of third space to contemporary, constructivist career development

The field of career development is grounded in diverse sociological perspectives contributing to addressing the complex interplay between individuals and societal contexts. This paper advocates for the use of a third space theory from cultural sociology traditions to working with marginalised clients and developing culturally sensitive career interventions. Within this theory, the relationship between career counsellor and client is conceptualised as a productive boundary zone of an intercultural dialogue, which occurs in a broader environmental-societal system and supports the use of Systems Theory Framework of career development.

Spatial Modesty: The Everyday Production of Gendered Space in Segregated and Assimilative Organizations

AbstractThis article explores the relations between organizational spatiality, gender and religion‐informed cultural practices. Theoretically grounded in Lefebvre's spatial theory and informed by Islamic feminism, it examines the significance of Islamic spatial modesty in (re)constructing and sustaining gender (in)equalities in financial institutions in Pakistan. The analysis reveals that the work‐space of Pakistani banks is gendered in ways that reflect the practices of purdah (Islamic modesty), while being adjusted and resisted to fit with the cultural practices of the organization, in what we call ‘selective appropriation of spatial modesty’. The article advances gender and organizational space scholarship by critically assessing Lefebvre's theory of space through the lenses of Islamic feminism and offers a cultural‐religious understanding of space theory.

On Some Dynamics in Conceptual Spaces

AbstractIn this text, we consider Gärdenfors’ conceptual spaces that are separable Hilbert spaces. In particular, the results we obtained apply to finite-dimensional Euclidean spaces. Our main contribution can be formulated as a combination of the theory of opinion dynamics with the theory of conceptual spaces. This combination, in turn, leads us to propose a new model for the time evolution of conceptual spaces. To achieve this goal, we propose some extension of the multidimensional opinion dynamics model of Parsegov, Proskurnikov, Tempo and Friedkin to opinions with values in Hilbert spaces.

Research on the Design of Communication Space in Youth Apartments from the Perspective of Interpersonal Communication Theory

This paper explores the intersection of interpersonal communication theory and the living requirements of youth groups, guided by theories of interpersonal communication, communication and space, and resource sharing. By examining relevant case studies, it delves into the design of communication spaces in youth-oriented apartments. The study offers innovative concepts for public activity areas tailored to the needs of contemporary youth, aiming to address the problem of social isolation among young individuals.

Multi-stage MFA for evaluating sustainable waste potential for bioplastics conversion in the circular economy: An examination of UK wastes to produce cellulose nanofibre

The negative environmental effect of petrochemical plastics prompts a shift in commercial interest towards bioplastics. Bioplastics produced from wastes and residues, when compared to primary biomass, reduces costs and emissions. However, these wastes are fed in alternative applications, resisting their use for bioplastics. The transition of wastes from current practices to bioplastics calls for a sustainability assessment, which is a combined examination of the economic, environmental and technical aspects. Material flow analysis (MFA), quantifying the flows of materials within a given system, is often used for waste management. However, MFA, not capturing additional waste characteristics, falls short in evaluating sustainable waste diversion. Therefore, this study suggests a Multi-stage MFA technique, integrating Multi criteria analysis (MCA) with MFA, to link additional information to the material flows, enabling sustainability assessment of waste to bioplastics conversion. To demonstrate the proposed methodology, this paper combines MFA with two particular MCA techniques, Analytic Hierarchy Process and Vector Space Theory, to analyse a UK case study of cellulose nanofibril (CNF) production. The findings indicate that, 11.6 Mt of the 18.04 dry Mt lignocellulosic wastes are sustainable for producing CNF films. However, this amount can change if the criteria or their relative importance in sustainability evaluation changes. The proposed approach is a generic tool for analysing sustainability of wastes to bioplastics conversion under a given geographic region to underpin circular economy.

Postdigital augmented spaces: A conceptual framework

Contemporary augmented spaces are situated in-between digital-analog, material-immaterial, online-offline, and real-virtual binaries. Relatedly, postdigital as a concept suggests that digital technologies are now integrated with almost all aspects of the individual and social atmosphere. Therefore, we should engage digitality through a critical approach by focusing on its intermingled situation. For this reason, reading augmented spaces with a postdigital perspective is essential to understanding and evaluating the potential of digital technologies in the context of the current line of vision. This paper aims to provide a better understanding of contemporary debates on digital technologies in the context of design. For this purpose, the article briefly reviews the definition of augmented space, and later postdigital as a concept is discussed with its fundamental characteristics. In what follows selected projects amongst the 2023 Media Architecture Biennale finalists are studied concerning the postdigital augmented spaces. As an outcome of this research, we suggest a conceptual framework that can be effective for the theory and practice of postdigital augmented spaces.

The security impact of Nigerian fallow tourist attractions on the residents of surrounding communities

Amidst globalisation, tourism industry has emerged as a huge revenue source for different countries across the globe, most especially in the developed world. Nigeria is one of the developing countries that are yet to fully tap their tourism potentials, due to many socio-political factors. Beyond undermining the country’s quest for economic diversification, fallow tourist attractions across the country hypothetically negate internal safety and security, hence the need for empirical researches to inform policy interventions. This study specifically focused on Zuma Rock (in Niger state) to examine the relationship between the rock’s physical surrounding and criminal occurrences, analyse the feeling of safety among the residents of communities surrounding it, and establish the extent of their confidence in the formal agencies of social control. The study utilised area life cycle model to view the place of the rock in relation to other developed tourist sites, which shows it remains at the first stage of tourism development. Further, insight was drawn from defensible space theory to analyse the relationship between the rock’s physical environment and crime. A mixed-methods approach involving quantitative and qualitative data was adopted for the study. A total of 304 respondents across five communities surrounding the rock were randomly selected for questionnaire administration, and additional 80 were judgementally selected for a total of 10 FGD sessions—two in each of the five selected communities. In light of the area life cycle and defensible space framework, the study found that failure to develop a notable tourist attraction breeds crime. It is also found that the study population live in fear due to the prevalence of violent crimes in the rock’s vicinity, and their lack of confidence in formal law enforcement agents. It is therefore recommended that government should prioritise the development of the destination while making effort to strengthen the law enforcement agencies.

Crouching Tiger, Hidden Dragon: A Translation Analysis of Culture Load Words Through the Perspective of Post-Colonialism

Post-colonial translation theory examines translation research from a brand new view. It begins to take into account the factors outside of the text that affect translation. Said’s view reveals the political character of post-colonial translation. Homi K. Bhabha‘s third space theory has attracted wide attention due to its great view and inclusive spirit. The film Crouching Tiger, Hidden Dragon is a representative success of Chinese films in the international film field. The success of the film comes from both the rich Chinese culture and the naturalized translation strategy. Through case analysis, this article finds that in the process of subtitle translation of the Crouching Tiger, Hidden Dragon, the meaning of some cultural loaded words cannot be completely and comprehensively transformed. This is related to the characteristics of subtitle translation and also to the cultural habits of the target groups of the film. The article proposes that such a translation strategy is conducive to Chinese films to find a place in the market, but we can also find a balance between retaining the culture and seizing the market.

A Study of the Liberation of Physical Space in Edgar Allan Poe’s Novels

In Edgar Allan Poe’s novels, deaths often occur at night, in narrow stairwells, and in dark, confined basements, hidden within the thickness of walls or beneath the ruins of collapsed buildings. By integrating Henry Lefebvre’s theories of social space and physical space with the plot of Poe’s stories, this paper conducts a textual analysis to interpret the author’s intentions in choosing specific social spaces. In Poe’s novels, the murderer’s use of space to commit murder and conceal the truth of death is a manifestation of the individual’s struggle for power within the society they inhabit and the deprivation of others’ power, reflecting the alienation of human nature. To counter such alienation, Poe regards the individual body as the subject of social space production in his novels. By focusing on the depiction of “resurrection from the dead” and other magical and romantic elements, and by emphasizing the liberation of bodily sensations—particularly the medium of sound—to reveal the truth of death, it is argued that Poe’s novels demonstrate the purpose of bodily resistance to the alienation of human nature through the liberation of physical space.

Small tensor product distributed active space (STP-DAS) framework for relativistic and non-relativistic multiconfiguration calculations: Scaling from 109 on a laptop to 1012 determinants on a supercomputer

Despite the power and flexibility of configuration interaction (CI) based methods in computational chemistry, their broader application is limited by an exponential increase in both computational and storage requirements, particularly due to the substantial memory needed for excitation lists that are crucial for scalable parallel computing. The objective of this work is to develop a new CI framework, namely, the small tensor product distributed active space (STP-DAS) framework, aimed at drastically reducing memory demands for extensive CI calculations on individual workstations or laptops, while simultaneously enhancing scalability for extensive parallel computing. Moreover, the STP-DAS framework can support various CI-based techniques, such as complete active space (CAS), restricted active space, generalized active space, multireference CI, and multireference perturbation theory, applicable to both relativistic (two- and four-component) and non-relativistic theories, thus extending the utility of CI methods in computational research. We conducted benchmark studies on a supercomputer to evaluate the storage needs, parallel scalability, and communication downtime using a realistic exact-two-component CASCI (X2C-CASCI) approach, covering a range of determinants from 109 to 1012. Additionally, we performed large X2C-CASCI calculations on a single laptop and examined how the STP-DAS partitioning affects performance.

The Lubin–Tate theory of configuration spaces: I

AbstractWe construct a spectral sequence converging to the Lubin–Tate theory, that is, Morava ‐theory, of unordered configuration spaces and identify its ‐page as the homology of a Chevalley–Eilenberg‐like complex for Hecke Lie algebras. Based on this, we compute the ‐theory of the weight summands of iterated loop spaces of spheres (parameterizing the weight operations on ‐algebras), as well as the ‐theory of the configuration spaces of points on a punctured surface. We read off the corresponding Morava ‐theory groups, which appear in a conjecture by Ravenel. Finally, we compute the ‐homology of the space of unordered configurations of particles on a punctured surface.

When Gestures also Argue: Multimodal Viewpoint Shift as a Rhetorical Strategy in American Political Talk Shows

Drawing on Mental Spaces Theory and Conceptual Blending Theory in Cognitive Linguistics, we examine the interaction between speech and co-speech gestures in The Daily Show with Trevor Noah. Statistical analysis shows that viewpoint shift in the self-built multimodal corpus, generally following the pattern: Base Space->News Narrative Space(->Base space)->Source Viewpoint Space(+)(->Base space), is significantly related to the use of verbal markers and gestural types. Moreover, multimodal viewpoint shift in political talk shows can achieve such rhetorical functions as enhancing ironic effects, solidifying and highlighting opposing positions, and simplifying political issues. Since verbal markers and gestures can mobilize the audience’s embodied experience by primarily activating mental images and motor programs, we claim that mental simulation and perspective taking play a pivotal role in the cognitive processing of multimodal viewpoint shifts by promoting viewpoint alignment between the audience and the host.

Landau vs Einstein: mathematics represents the universe

The modern theory of gravity is the Einstein space theory, which is described by mathematical methods of tensor analysis of Riemannian geometry. Einstein built on this basis one of the most successful and amazing theories. Complexity theories often lead to the extraction of foundations and, as is customary in theory, to obtaining meaningless results. Now the entire intellectual power of numerous researchers is directed at alternative theories, often based on erroneous ideas about Einstein's theory. An example of this is the catastrophic error in the definition of the coordinate transformation in the top manual on theoretical physics by L. D. Landau and E. M. Lifshitz.

Global solutions for bi-harmonic inhomogeneous non-linear Schrödinger equations in Lebesgue spaces

This paper studies the inhomogeneous bi-harmonic nonlinear Schrödinger equation iu˙+Δ2u±|x|−τ|u|p−1u=0,\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$ \\mbox{i}\\dot{u} +\\Delta ^{2} u\\pm |x|^{-\ au}|u|^{p-1}u=0, $$\\end{document} where u:=u(t,x):R×RN→C\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$u:=u(t,x):\\mathbb{R}\ imes \\mathbb{R}^{N}\ o \\mathbb{C}$\\end{document}, τ>0\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$\ au >0$\\end{document} and p>1\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$p>1$\\end{document}. One proves the existence of global solutions with datum in Lebesgue space Lϱ(RN)\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$L^{\\varrho}(\\mathbb{R}^{N})$\\end{document}, for a certain 1<ϱ<2\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$1<\\varrho <2$\\end{document}. This work complements the known global well-posedness result in the mass-sub-critical regime, namely 1<p<1+8−2τN\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$1< p<1+\\frac{8-2\ au}{N}$\\end{document} and with finite mass. This work aims to develop a local theory in non-Hilbert Lebesgue spaces. Moreover, one complements the local solution to a global one under some suitable assumptions on the parameters. To this end, one uses a Strichartz-type estimate based on Lϱ\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$L^{\\varrho}$\\end{document}. Moreover, one breaks down the data into two parts: the first is in L2\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$L^{2}$\\end{document}, and the second has a small Strichrtz norm under the free bi-harmonic Schrödinger propagator. Then, one uses a standard fix point argument coupled with Strichartz estimates. First, one resolves the above problem in L2\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$L^{2}$\\end{document} and then takes the considered equation with a perturbed source term. The local solution is complemented by a global one with induction. Since the free associated kernel ei⋅Δ2\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$e^{\\mbox{i}\\cdot \\Delta ^{2}}$\\end{document} is unitary in L2\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$L^{2}$\\end{document}, the Schrödinger equations seem more adapted to be mathematically studied in functional spaces based on L2\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$L^{2}$\\end{document}, such as the Sobolev spaces Ws,2(RN)\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$W^{s,2}(\\mathbb{R}^{N})$\\end{document}. The main novelty here is investigating the above inhomogeneous bi-harmonic nonlinear Schrödinger problem in some Lebesgue spaces different from L2\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$L^{2}$\\end{document}. One essential challenge is overcoming the lack of conservation laws, namely the mass and the energy, representing standard tools in the Schrödinger context. The second technical difficulty is the presence of an inhomogeneous source term, namely the singular decaying term |x|−τ\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$|x|^{-\ au}$\\end{document}, which causes some serious complications. In order to deal with the inhomogeneous term, one uses Lorentz spaces with the property |x|−τ∈LNτ,∞\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$|x|^{-\ au}\\in L^{\\frac {N}{\ au},\\infty}$\\end{document}.

Basic Mathematical form Of Nature of Space And Dimension of Observable Universe and Beyond

In this innovative research I have advanced the theory of space with definition of space, definition of types of space, and introduced energy-mass transformation, gravity and gravitation force. With this advance research, finally I have defined basic mathematical form of “Nature of space and Dimension of Observable Universe and beyond”.As we know the universe is defined as all space-time and their contents. However, several questions still remain open regarding higher dimension, singularity, gravity collapse at horizon of black hole, unified gravity, theory of everything, dark matter, dark energy, existence of observable universe and beyond, question for mathematical form of everything, question for matter itself, and question for the space itself. These open questions have driven this scientific research of “Basic Mathematical form Of Nature of Space and Dimension of Observable Universe and beyond”. My research findings indicate that the space itself is the entity with having physical properties. The space can be described by physical structure and its transformation. The space has two fundamental properties of energy and mass, and space can be described by energy- mass transformation. From these energy-mass transformation and physical structure transformation, I have defined the gravity, gravitation force and basicmathematical form of“Nature of space and Dimension of Observable Universe and beyond”. This basic mathematical form covers scope of higher dimension, unified gravity, singularity, horizon of black hole, and nature of space of observable universe and beyond. Several research have been conductedfor look into nature of space,space-time, gravity, unified gravity, higher dimensions, unified mathematical formof everything by Minkowski space,Higgs field, Aether medium, Newton’s law of universal gravitation, Electromagnetism, Planck constant,General relativity,Standard Model,Loop Quantum Gravity, Super symmetry, Super gravity, String theory and M-Theory. Despite these research, the questions still remain open for unified nature and for unified mathematical form of “Nature of space and Dimension of Observable Universe and beyond”. By researching the existence of matter, I found the existence of space was just accepted as the void, empty, and space-time background framework. My research reflects “Dimension of Observable Universe and beyond”encompasses all existence of observable universe and beyond it. The advance definition of space, definition of type of space, space transformation and energy-mass transformation perfectly describe existence of entire space &amp; universe and its nature at very fundamental level. This very fundamental nature is presented in basic mathematical form. It is the most accurate foundation to answer those open questions. It is the novelty in astrophysics and foundation of entire existence.

Mastering the Game: How Level Structure and Game Elements Shape Competency Acquisition

Understanding the dynamics of level structure and game elements in digital educational games is paramount to fostering competency acquisition. How levels are organized within a game, along with the use of various game elements, has a significant impact on the learning outcomes and skill development of individuals. Through the strategic design and implementation of these components, educational games can effectively engage learners and facilitate the acquisition of competencies in multiple domains. In addition to structure, the integration of gamification elements can have a profound impact on learner engagement and sustainable skill acquisition. Therefore, a key element for the success of a serious game is to create appropriate personalization and a balanced relationship between learning and gaming experience. As a result, a mini-game called "Basketball Physics Challenge" has been designed to be integrated into an intelligent, adaptive physical learning game centered around force and motion as part of an ongoing research project. By playing the game "Basketball Physics Challenge", players will apply their understanding of basic physics principles in a realistic, interactive, and virtual setting. An experimental design was used to test the mini-game, in which a gamified and a non-gamified version were used and compared. 20 participants completed the experiment, and their learning progress was meticulously tracked. Using competency-based knowledge space theory, the mini-game facilitated in-game competency assessment, enabled monitoring of learning progress, tailored learning experiences, and provided individualized formative feedback. The pilot was used to develop and implement a competency model that will be the subject of future in-depth studies. The results indicated that the gamified version of the game led to slightly higher engagement and performance levels compared to the non-gamified version, although the difference in learning outcomes between the two versions was not statistically significant. The analysis also showed that an optimal number of levels and a balanced integration of game elements are crucial for maintaining engagement without causing cognitive overload. Furthermore, the order in which the game versions were presented affected player performance, with initial exposure to gamification leading to better outcomes. These findings provide valuable information for the design of educational games and their effectiveness in skill acquisition. This research supports the development of powerful educational technologies that enhance learning through a coherent level structure and meaningful use of game elements that effectively promote learner engagement.

Crowding the face-space: The attractor field hypothesis and within-person variability

ABSTRACT Face space theory suggests that faces that are similar to others (i.e., typical faces) are represented in denser regions in face space than distinctive faces. Accordingly, typical face representations can be activated by the same input, leading to mistakenly identifying a person as someone else. A modification of this theory can also accommodate the opposite error in which two images of the same person are mistaken for different people, which results from intolerance to within-person variability. In two experiments, we tested two predictions of the modified theory: (1) greater tolerance of within-person variability should be observed for distinctive faces and (2) the same conditions that increase tolerance to within-person variability should facilitate differentiation of two similar-looking identities. The results support the first of these predictions, but not the second. The findings are interpreted in the context of attention to differences vs. commonalities when learning to distinguish faces from similar-looking others.

Towards field theory of multiple D0-branes. Hamiltonian mechanics and quantization of simplest 3D prototype of multiple D0-brane system

Recently we have constructed a completely supersymmetric nonlinear action possessing the properties expected from multiple D0-brane system. Its quantization should result in an interesting supersymmetric field theory in the (super)space with additional matrix coordinates which can provide an important insights in the study of String Theory. As a first stage toward this aim, in this paper we construct the Hamiltonian mechanics and perform covariant quantization of the simplest three dimensional counterpart of the ten dimensional multiple D0-brane model. We obtain a supersymmetric system of equations in a (super)spacetime enlarged by bosonic and fermionic matrix coordinates which appears as a result of such quantization and discuss some of its properties.

Newton and the genesis of Leibniz’s theory of space

Abstract The paper in [1] provides a history of Gottfried Leibniz’s ideas about space. Contrary to standard readings, Leibniz did not develop a relational theory of space until 1688 when he read Isaac Newton’s Principia and realised that he had to respond to the theory of absolute space with a new, powerful and rich alternative theory. The paper details Leibniz’s theories of space prior to the relational theory and their philosophical sources. It discusses Leibniz’s theory in relation to his theories of time, motion and geometry. Finally, it shows the role of Newton in the genesis of Leibniz’s relational theory.