Academic literature on the topic 'Abstract convex space'
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Journal articles on the topic "Abstract convex space"
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Park, Sehie. "Remarks on Weakly KKM Maps in Abstract Convex Spaces." International Journal of Mathematics and Mathematical Sciences 2008 (2008): 1–10. http://dx.doi.org/10.1155/2008/423596.
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A KKM space is an abstract convex space satisfying the KKM principle. We obtain variants of the KKM principle for KKM spaces related to weakly KKM maps and indicate some applications of them. These results properly generalize the corresponding ones inG-convex spaces andϕA-spaces(X,D;{ϕA}A∈〈D〉). Consequently, results by Balaj 2004, Liu 1991, and Tang et al. 2007 can be properly generalized and unified.
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Yuan, George Xian-Zhi. "Fixed points of upper semicontinuous mappings in locally G-convex spaces." Bulletin of the Australian Mathematical Society 58, no. 3 (1998): 469–78. http://dx.doi.org/10.1017/s0004972700032457.
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In this paper a new fixed point theorem for upper semicontinuous set-valued mappings with closed acyclic values is established in the setting of an abstract convex structure – called a locally G-convex space, which generalises usual convexity such as locally convex H-spaces, locally convex spaces (locally H-convex spaces), hyperconvex metric spaces and locally convex topological spaces. Our fixed point theorem includes corresponding Fan-Glicksberg type fixed point theorems in locally convex H-spaces, locally convex spaces, hyperconvex metric space and locally convex spaces in the existing literature as special cases.
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Duchoˇn, Miloslav, and Camille Debiève. "Functions with bounded variation in locally convex space." Tatra Mountains Mathematical Publications 49, no. 1 (2011): 89–98. http://dx.doi.org/10.2478/v10127-011-0028-y.
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ABSTRACT The present paper is concerned with some properties of functions with values in locally convex vector space, namely functions having bounded variation and generalizations of some theorems for functions with values in locally convex vector spaces replacing Banach spaces, namely Theorem: If X is a sequentially complete locally convex vector space, then the function x(・) : [a, b] → X having a bounded variation on the interval [a, b] defines a vector-valued measure m on borelian subsets of [a, b] with values in X and with the bounded variation on the borelian subsets of [a, b]; the range of this measure is also a weakly relatively compact set in X. This theorem is an extension of the results from Banach spaces to locally convex spaces.
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Tarafdar, E. "Fixed point theorems in H-spaces and equilibrium points of abstract economies." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 53, no. 2 (1992): 252–60. http://dx.doi.org/10.1017/s1446788700035825.
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AbstractSome fixed point theorems on H-spaces are presented. These theorems are then applied to generalize a theorem of Fan concerning sets with convex sections to H-spaces and to prove the existence of equilibrium points of abstract economics in which the commodity space is an H-space.
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Brooks, J. K., and J. T. Kozinski. "Stochastic Integration in Abstract Spaces." International Journal of Stochastic Analysis 2010 (August 16, 2010): 1–7. http://dx.doi.org/10.1155/2010/217372.
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We establish the existence of a stochastic integral in a nuclear space setting as follows. Let , , and be nuclear spaces which satisfy the following conditions: the spaces are reflexive, complete, bornological spaces such that their strong duals also satisfy these conditions. Assume that there is a continuous bilinear mapping of into . If is an integrable, -valued predictable process and is an -valued square integrable martingale, then there exists a -valued process called the stochastic integral. The Lebesgue space of these integrable processes is studied and convergence theorems are given. Extensions to general locally convex spaces are presented.
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Liao, Chun-Yan, and Xiu-Yun Wu. "L-topological-convex spaces generated by L-convex bases." Open Mathematics 17, no. 1 (2019): 1547–66. http://dx.doi.org/10.1515/math-2019-0133.
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Abstract In this paper, axiomatic definitions of both L-convex bases and L-convex subbases are introduced and their relations with L-convex spaces are studied. Based on this, the notion of L-topological-convex space is introduced as a triple (X, 𝓣, 𝓒), where X is a nonempty set, 𝓒 is an L-convex structure on X and 𝓣 is an L-cotopology on X compatible with 𝓒. It can be characterized by many means.
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Bejenaru, Andreea, and Mihai Postolache. "On a new nonlinear convex structure." AIMS Mathematics 9, no. 1 (2023): 2063–83. http://dx.doi.org/10.3934/math.2024103.
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<abstract><p>In this work we start from near vector spaces, which we endow with some additional properties that allow convex analysis. The seminormed structure used here will also be improved by adding properties such as the null condition and null equality, thus resulting in a new type of space, which is still weaker than the conventional Banach structures: pre-convex regular near-Banach space. On the newly defined structure, we introduce the concept of uniform convexity and analyze several resulting properties. The major outcomes prove a remarkable resemblance to the classical properties resulting from uniform convexity on hyperbolic metric spaces or modular function spaces, including the famous Browder-Göhde fixed point theorem.</p></abstract>
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Moraglio, Alberto, and Dirk Sudholt. "Principled Design and Runtime Analysis of Abstract Convex Evolutionary Search." Evolutionary Computation 25, no. 2 (2017): 205–36. http://dx.doi.org/10.1162/evco_a_00169.
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Geometric crossover is a formal class of crossovers that includes many well-known recombination operators across representations. In previous work, it was shown that all evolutionary algorithms with geometric crossover (but no mutation) do the same form of convex search regardless of the underlying representation, the specific selection mechanism, offspring distribution, search space, and problem at hand. Furthermore, it was suggested that the generalised convex search could perform well on generalised forms of concave and approximately concave fitness landscapes regardless of the underlying space and representation. In this article, we deepen this line of enquiry and study the runtime of generalised convex search on concave fitness landscapes. This is a first step toward linking a geometric theory of representations and runtime analysis in the attempt to (1) set the basis for a more general, unified approach for the runtime analysis of evolutionary algorithms across representations, and (2) identify the essential matching features of evolutionary search behaviour and landscape topography that cause polynomial performance. We present a general runtime result that can be systematically instantiated to specific search spaces and representations and present its specifications to three search spaces. As a corollary, we obtain that the convex search algorithm optimises LeadingOnes in [Formula: see text] fitness evaluations, which is faster than all unbiased unary black box algorithms.
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Blasco, O., V. Tarieladze, and R. Vidal. "K-Convexity and Duality for Almost Summing Operators." Georgian Mathematical Journal 7, no. 2 (2000): 245–68. http://dx.doi.org/10.1515/gmj.2000.245.
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Abstract For a fixed sequence f. = (fn ) of independent identically distributed symmetric random variables with , we introduce the notion of Kf. -convex Banach space and the notions of (fn )-bounding and (fn )-converging operators acting between Banach spaces. It is shown that the dual of the space of (fn )-converging operators between a Hilbert space and a Kf. -convex Banach space admits a precise description in terms of trace duality. The obtained results recover similar formulations for almost summing and γ-Radonifying operators.
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Gabriyelyan, Saak. "The Mackey problem for free locally convex spaces." Forum Mathematicum 30, no. 6 (2018): 1339–44. http://dx.doi.org/10.1515/forum-2018-0067.
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Abstract It is known that the free locally convex space {L(X)} on a space X is metrizable only if X is finite and that {L(X)} is barrelled if and only if X is discrete. We significantly generalize these results by proving that {L(X)} is a Mackey space if and only if X is discrete. Noting that real locally convex spaces which are Mackey groups are always Mackey spaces, but that the converse is false, it is also proved here that {L(X)} is a Mackey group if and only if it is a Mackey space.
Books on the topic "Abstract convex space"
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Litvinov, G. L. (Grigoriĭ Lazarevich), 1944- editor of compilation and Sergeev, S. N., 1981- editor of compilation, eds. Tropical and idempotent mathematics and applications: International Workshop on Tropical and Idempotent Mathematics, August 26-31, 2012, Independent University, Moscow, Russia. American Mathematical Society, 2014.
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Epstein, Charles L., and Rafe Mazzeo. Wright-Fisher Geometry. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691157122.003.0002.
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This chapter introduces the geometric preliminaries needed to analyze generalized Kimura diffusions, with particular emphasis on Wright–Fisher geometry. It begins with a discussion of the natural domains of definition for generalized Kimura diffusions: polyhedra in Euclidean space or, more generally, abstract manifolds with corners. Amongst the convex polyhedra, the chapter distinguishes the subclass of regular convex polyhedra P. P is a regular convex polyhedron if it is convex and if near any corner, P is the intersection of no more than N half-spaces with corresponding normal vectors that are linearly independent. These definitions establish that any regular convex polyhedron is a manifold with corners. The chapter concludes by defining the general class of elliptic Kimura operators on a manifold with corners P and shows that there is a local normal form for any operator L in this class.
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Szocik, Konrad. Feminist Bioethics in Space. Oxford University PressNew York, NY, 2024. http://dx.doi.org/10.1093/9780197691076.001.0001.
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Abstract This book is an example of applying the feminist perspective in philosophy, ethics, and bioethics to the consideration of future human space missions. Feminism is a thought perspective that is rarely present in the reflection on space and space missions. This book focuses on bioethical issues that may arise in future long-term and long-distance space missions. The issues are primarily human enhancement and human reproduction in space. Applying the perspective of feminist bioethics makes it possible to see potential risks that are not usually raised by nonfeminist bioethics. The book points out the consequences of space missions for traditionally marginalized and excluded groups, such as women, nonwhites, people with disabilities, indigenous people, and the sexually nonbinary. In a manner appropriate to feminism, the book discusses ethical and bioethical issues using such explanatory categories as sex and gender, power, oppression, discrimination, domination, and exclusion. The book offers a broad perspective, going beyond bioethical issues to a wider context that includes the global situation in the world. The book offers an intersectional perspective, highlighting the dangers and risks of overlapping different types of oppression and discrimination. While most attention is given to the situation of women and their potential oppression in space, particularly in the context of their reproductive rights, considerable attention is given to other excluded groups, including the disabled. The book aims to sensitize us to the need to recognize in our activities the risks of inequality and exclusion that may be replicated in space.
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Yilmaz, Fatih, María Jesús Santos Sánchez, Araceli Queiruga-Dios, Jesús Martín-Vaquero, and Melek Sofyalioğlu, eds. International Conference on Mathematics and its Applications in Science and Engineering (ICMASE 2020). Ediciones Universidad de Salamanca, 2020. http://dx.doi.org/10.14201/0aq0302.
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This abstract booklet includes the abstracts of the papers that have been presented at International Conference on Mathematics and its Applications in Science and Engineering (ICMASE 2020) which is held in Ankara Hacı Bayram Veli University, Ankara, Turkey between 9-10 July, 2020, via Online because of Covid 19 pandemia. The aim of this conference is to exchange ideas, discuss developments in mathematics, develop collaborations and interact with professionals and researchers from all over the world in with some of the following interesting topics: Functional Analysis, Approximation Theory, Real Analysis, Complex Analysis, Harmonic and non-Harmonic Analysis, Applied Analysis, Numerical Analysis, Geometry, Topology and Algebra, Modern Methods in Summability and Approximation, Operator Theory, Fixed Point Theory and Applications, Sequence Spaces and Matrix Transformation, Modern Methods in Summability and Approximation, Spectral Theory and Diferantial Operators, Boundary Value Problems, Ordinary and Partial Differential Equations, Discontinuous Differential Equations, Convex Analysis and its Applications, Optimization and its Application, Mathematics Education, Application on Variable Exponent Lebesgue Spaces, Applications on Differential Equations and Partial Differential Equations, Fourier Analysis, Wavelet and Harmonic Analysis Methods in Function Spaces, Applications on Computer Engineering, Flow Dynamics. However, the talks are not restricted to these subjects only. I am pleased to tell that this conference is also organized as a final multiplier event of the Rules_Math Project, supported by the EU.
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Darrigol, Olivier. Relativity Principles and Theories from Galileo to Einstein. Oxford University PressOxford, 2021. http://dx.doi.org/10.1093/oso/9780192849533.001.0001.
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Abstract Motion is always relative to something. Is this thing a concrete body like the earth, is it an abstract space, or is it an imagined frame? Do the laws of physics depend on the choice of reference? Is there a choice for which the laws are simplest? Is this choice unique? Is there a physical cause for the choice made? These questions traverse the history of modern physics from Galileo to Einstein. The answers involved Galilean relativity, Newton’s absolute space, the purely relational concepts of Descartes, Leibniz, and Mach, and many forgotten uses of relativity principles in mechanics, optics, and electrodynamics―until the relativity theories of Poincaré, Einstein, Minkowski, and Laue radically redefined space and time to satisfy universal kinds of relativity. Accordingly, this book retraces the emergence of relativity principles in early modern mechanics, documents their constructive use in eighteenth- and nineteenth-century mechanics, optics, and electrodynamics, and gives a well-rooted account of the genesis of special and general relativity in the early twentieth century. As an exercise in long-term history, it demonstrates the connectivity of issues and approaches across several centuries, despite enormous changes in context and culture. As an account of the genesis of relativity theories, it brings unprecedented clarity and fullness by broadening the spectrum of resources on which the principal actors drew.
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Schiff, Brian. Out of Context. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780199332182.003.0002.
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Chapter 1, “Out of Context,” in A New Narrative for Psychology, argues that one of the main consequences of the overreliance on variable-centered methods is a misinterpretation of the nature of psychological processes. Although variable-centered research seems to argue that we can understand the process outside of the person and outside of the social world as an abstract entity, this is not really possible. Psychological processes are aspects of subjective experience that have meanings specific to a person who is situated in a definite time and space. The chapter reviews the debate on the stability of personality traits over time and argues that it makes no sense to ask if personality changes or stays the same. Personality doesn’t do anything, but variables are characterized as if they have a life of their own. Outside of the context of the person, one misunderstands what personality is and means.
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Lin, Zhongjie. Constructing Utopias. Oxford University PressNew York, NY, 2025. https://doi.org/10.1093/9780197793336.001.0001.
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Abstract Amid its groundbreaking political reforms and the “largest mass migration ever seen in human history,” China created over 3,800 new towns to accommodate its burgeoning urban population and sustain economic growth. Economic marketization, global trade, intercity competition, and the exponentially growing real estate industry have driven tremendous investment in infrastructure and large-scale developments, stimulating continuous urban expansion. Surpassing any urbanization initiatives in history, contemporary Chinese new towns emerged as the national campaign to reimagine Chinese cities while reshaping the global geo-economic landscape. Constructing Utopias examines four decades of Chinese urbanization through the lenses of urbanism and utopianism. After exploring the theoretical foundations and historical precedents of new town development, the book delves into a series of “model new towns” that showcase innovative planning, design, technologies, policies, and China’s broader vision for a modern urban nation. Case studies of the Suzhou Industrial Park, One City, and Nine Towns in Shanghai, prototypical eco-cities, and the notorious “ghost towns” form the core of this book, highlighting fundamental issues in urbanization, including economic vitality, cultural identity, environmental sustainability, and socio-spatial dynamics. The author scrutinizes these new towns not only as grand visions of governments, planners, and developers but also as physical spaces embodying the struggles and aspirations of residents and migrant workers. By examining both the successes and failures of Chinese new town planning and development, this book illuminates the complex interplay between space production and social transformation within the context of neoliberalism and globalization.
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Oyallon-Koloski, Jenny. Storytelling in Motion. Oxford University PressNew York, 2024. http://dx.doi.org/10.1093/oso/9780197602669.001.0001.
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Abstract Storytelling in Motion: Cinematic Choreography and the Film Musical demonstrates how figure movement can serve as a versatile strategy of meaning-making, particularly when filmmakers attend to the relationship between choreographed movement and film style. Using Franco-American film musicals as its main examples, this book analyzes the narrative and stylistic impact of figure movement in cinema and the subtle power of cinematic choreography, those moments when filmmakers deliberately combine the strengths of film style and organized figure movement to convey narrative meaning through motion. Integrating vocabularies and analytical systems from Laban/Bartenieff Movement Studies, film studies, and related fields to parse cinematic figure movement on multiple formal levels, this book uses performative research methods from videographic criticism to show the poetic and oblique connections between films through videographic as well as written chapters. Storytelling in Motion centers the crucial material conditions needed to make figure movement a significant component of narrative filmmaking: time, money, rehearsal space, industrial support, and performers and crew with the necessary embodied and institutional knowledge. The films discussed tell a clear story of how cinematic choreography was used by transnational filmmaking teams to innovate storytelling through figure movement, inspired by their predecessors’ aesthetics while working within differing industrial conditions.
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Cai, Keru. Poverty in Modern Chinese Realism. Oxford University PressOxford, 2025. https://doi.org/10.1093/9780198947080.001.0001.
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Abstract This book shows that early twentieth-century Chinese writers drew upon Russian texts about the socially downtrodden to describe poverty, in a bid to enrich Chinese culture by creating a syncretic new realism. Modern Chinese realist writers turned to the topic of material poverty—peasants suffering from famine, exploited urban laborers, homeless orphans—to convey their sense of textual poverty and national backwardness. The combination of a radically new subject matter and experimentation with diverse literary resources, indigenous and foreign, generated major innovations in narrative technique. Depicting poverty allowed writers to revolutionize the nascent forms of modern Chinese narrative, innovating strategies of representing the nation, the social other, time, and space, while problematizing their deployment of squalor for aesthetic purposes. This book examines why Russian literature, itself long preoccupied with a problem of belatedness vis-à-vis Western Europe, occupied a privileged place for Chinese intellectuals of this era. Comparing Chinese fiction about poverty to Russian intertexts by Gogol, Andreev, Chekhov, Turgenev, and others, the book shows how Chinese writers drew and innovated upon themes (such as madness or human animality) and formal elements (such as metonymy). The book’s multi-scalar approach emphasizing close textual analysis situates modern Chinese realism in the trans-Eurasian axis of world literature.
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Esteban-Salvador, Maria Luisa, ed. The International Conference on Multidisciplinary Per- pectives on Equality and Diversity in Sports (ICMPEDS). 14th to the 16th of july 2021 . Book of abstracts. Universidad de Zaragoza, 2021. http://dx.doi.org/10.26754/uz.978-84-18321-32-0.
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The International Conference on Multidisciplinary Perspectives on Equality and Diversity in Sports (ICMPEDS) is organized by GESPORT with the support of the Erasmus+ Programme of the European Union from the 14th to the 16th of July 2021. The conference is an excellent forum for academics, researchers, practitioners, athletes, man- agers and professionals of federations, associations and sport organizations, and those other- wise involved in sport to share and exchange ideas in different areas of sport related equality worldwide. We will keep you informed by email and post the latest information on this matter on the GESPORT website and social media. Sport and its management continues to be a field where men and masculinity strongly prevail. This conference aims to investigate the complexities attached to the following questions: What does gender openness mean in the context of sport in the 21st century? What persists as gen- der closure in the same context? What are the gender cultures that signify sport continuing to be defined by regimes that resort to a dominant masculinity embodied in a strong and athletic male body? Moreover, and albeit some exceptions, athletes, practitioners, decision and policy makers, and sports spectators are predominantly men. In this sense, gender discrimination and segregation are present in multiple aspects of sport. Some illustrations include: a) male athletes have high salaries, more career opportunities, and get more recognition by society than female athletes; b) management and leadership positions in sports organizations are mainly occupied by men, including in sports traditionally considered as feminine and which have become feminised (e.g. gymnastics and dance); c) masculinised sports and its male athletes have much more attention and recognition from the media than female athletes; d) sports journalism continues to be predominantly produced and managed by men; e) some sports spectatorships cultures are marked by rituals and interactions that resort to masculine tribalism, often leading to aggressive and violent behaviours. Gender discrimination in sport is somehow socially normalised and accepted through a dis- course that essentialises the embodied sexual differences between genders. This gender dis- course legitimises the exclusion of women in some sports modalities and traps female bodies in sociocultural constructions as less able to exercise and engage in sport, or as the second and weaker version of the ideal masculine body. However, there are signs that the context of sport may be changing. The European Union and some national governments have made an effort to promote gender equality and diversity by fostering the adoption of gender equality codes/policies in different modalities and in in- ternational and local sports organizations. These new policies aim to increase female partic- ipation and recognition in sport, their access to leadership positions and involvement in the decision-making in sport structures. Additionally, the number of women practising non-com- petitive sport and as sports spectators have started growing, leading to new representations of sport and challenging the role of women in such a context. Finally, different body constructions and the emergence of alternative embodied femininities and masculinities are also challeng- ing how athletes of both genders experience their bodies and sports practice. Yet, research is scarce about the impact of these changes/challenges in the sports context. This conference will focus on mapping gender relations in sport and its management by taking into account the different modalities, contexts, institutional policies, organizational structures and actors (e.g. athletes, spectators, media professionals, sport decision makers and man- agers). It will treat sport and its management as one avenue where gender segregation and inequality occurs, but also adopt such as a space that presents an opportunity for change and does so as a widely applicable topic whose traits and culture are reflected in organizations and work more broadly. In this sense, the conference is interested in theoretical and empirical research work that may explore, but are not limited to the following issues: • Women representativeness in sports modalities and in sport organizational structures in different countries; • Women and management accounting in sport organizations; • The gender regimes that (re)produce different sports policies, modalities, and institu- tions in sport; • The stories of resistance/conformity of women that already occupy different roles in sport contexts; • The challenges and impact of conventional and new body representations in sports institutions and including athletes of both genders; • The discourses of masculinities in sport and its effect on women and men athletes; • The emergence of nationalism and populist discourses in political and governments states and their impact on the (re)shaping of masculinity and femininity constructions in sport; • The gendered transformations of the spectators’ gaze in what concerns different sports modalities; • The effects of new groups of sports spectators on gender relations in sport; • The discourses in media and its participation in the sports gender (in)equality; • The impact of new technologies, and new practices of training/coaching in the body- work and identities of athletes of both genders.
Book chapters on the topic "Abstract convex space"
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N’Guérékata, Gaston M. "Almost Periodic Functions with Values in a Locally Convex Space." In Almost Periodic and Almost Automorphic Functions in Abstract Spaces. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-73718-4_8.
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N’Guérékata, Gaston M. "Almost Periodic Functions with Values in a Non-locally Convex Space." In Almost Periodic and Almost Automorphic Functions in Abstract Spaces. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-73718-4_9.
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Xiao, Ti-Jun, and Jin Liang. "Laplace transforms and operator families in locally convex spaces." In The Cauchy Problem for Higher Order Abstract Differential Equations. Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/978-3-540-49479-9_1.
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N’Guérékata, Gaston M. "Almost Periodic Solutions of the Differential Equation in Locally Convex Spaces." In Almost Periodic and Almost Automorphic Functions in Abstract Spaces. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-73718-4_11.
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García, Marcos Diez, and Alberto Moraglio. "A Unifying View on Recombination Spaces and Abstract Convex Evolutionary Search." In Evolutionary Computation in Combinatorial Optimization. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-16711-0_12.
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N’Guerekata, Gaston M. "Almost Periodic Solutions of the Equation x′ = Ax + f in Locally Convex Spaces." In Almost Automorphic and Almost Periodic Functions in Abstract Spaces. Springer US, 2001. http://dx.doi.org/10.1007/978-1-4757-4482-8_7.
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Liu, Mengman, Chuhua Ding, and Hui Wang. "An Exploration on the Form Design of Movable Structures Based on Uniform Convex Polyhedral Expansion." In Computational Design and Robotic Fabrication. Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-99-8405-3_7.
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Abstract5 kinds of regular polyhedra and 13 kinds of semi-regular polyhedra are taken as the main research objects in this paper to explore the form design method of polyhedral expansion through the rotation of polygon. Firstly, the expandable range of uniform convex polyhedra is defined and divided into two types of expansion. Then three solutions are proposed, namely, discarding polygonal faces, constructing rigid-foldable origami mechanisms and constructing scissor-like elements, so that the prior unexpandable uniform convex polyhedron can be expanded. These methods extend the range of expandable uniform convex polyhedron, and can provide new form design ideas for frontier fields such as movable furniture (toys), movable art installations, 3D kinetic facades and space architecture.
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Wang, Yaying, and Jiahui Dou. "Emotional Analysis and Application of Business Space Based on Digital Design." In Proceeding of 2021 International Conference on Wireless Communications, Networking and Applications. Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-2456-9_55.
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AbstractAs social science and technology progressing, people pay more attention to themselves. Jewelry, whether as a daily design or exquisite art, deeply carries individual feeling. Commercial space design, as an important embodiment of tolerance and foil, could show its value and meet people's emotional needs. Based on jewelry store design, this paper studies the emotional design contained in digital commercial space to enrich the emotional experience in space design. Through the construction and design of jewelry store space, it can better convey the value and emotion of goods, and apply emotional elements to the layout, color and form of digital commercial space, so as to build a digital commercial space full of emotion and design [1].
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Reitz, Talitta. "Back to the Drawing Board: Creative Mapping Methods for Inclusion and Connection." In Co-Creativity and Engaged Scholarship. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-84248-2_11.
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AbstractThe most well-known representation of the globe, the Mercator Projection, often provokes surprise for its considerable distortions: despite appearances, Greenland is almost five times smaller than Canada, and Russia is, in fact, approximately half the size it appears. Since the oldest civilizations, maps have relied on shifting knowledges to become more accurate and efficient, a process accelerated with science and technological development. But the unrealistic proportions of the Mercator map point to a critical reflection: maps show no absolute truths, nor are they neutral. Maps tell stories; they represent ideas as much as spaces, and exactitude is no synonym for neutrality. On the contrary, mapping is a cultural and political act. In the 1990s, geographers started to defy the power relationships of mapmaking with critical cartography. This critique, strongly supported by activists, opened new debates and representational possibilities in which scientific principles started to matter less than social and environmental justice, political participation, and storytelling. Within this framework, this chapter reflects on two alternative mapping methods used in the humanities and social sciences: social cartography and deep mapping. Each section introduces origins, theoretical frameworks, reception, and applications. Because these methods aim to rectify the abuse of power often enabled by scientific mapping, they use non-prescriptive mapmaking to legitimize neglected perspectives. Social Cartography is intrinsically participatory and uses mapping as a collaborative and critical practice. It challenges the role of traditional cartography in socio-political spheres, creating opportunities for new narratives and communities to be heard and understood. Deep maps represent abstract characteristics of a place. They can transcend the boundaries of bi-dimensional and pictorial representation, and consequently, reach different publics. The method is flexible, combining literature and immersive experiences to convey personal or subjective qualities of a place. Other expressions of deep mapping include audio and performative documentations. Social cartography and deep mapping operate against traditional mapmaking by reinforcing the notion that non-institutionalized maps are just as valid in guiding public actions and projects. As participatory practices within communities, these methods promote dialogue, empowerment, and transformation. Therefore, they are indispensable in ensuring democratic research and decision-making.
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Webster, Roger. "Convex polytopes." In Convexity. Oxford University PressOxford, 1994. http://dx.doi.org/10.1093/oso/9780198531470.003.0002.
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Abstract The concept of a convex set is a simple one. A set in space is convex if whenever it contains two points, it also contains the line segment joining them. Elementary geometry abounds in convex sets: ellipses, triangles, parallelograms, balls, halfspaces, and cubes are convex. An annulus, a crescent, and the vertex set of a cube are examples of nonconvex sets. Convex and non-convex sets are illustrated in Fig. 2.1.
Conference papers on the topic "Abstract convex space"
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Assarian, Arezoo. "Advancing Spacecraft Resilience: Cutting-Edge Strategies for Mitigating Radar Frequency Exposure." In CONFERENCE 2025. AMPP, 2025. https://doi.org/10.5006/c2025-00406.
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Abstract As the strategic significance of space operations intensifies, the need for advanced protection against radar frequency (RF) radiation on spacecraft surfaces has become paramount. This article focuses on the latest developments in protective coatings specifically designed to enhance spacecraft resilience to RF exposure. It examines the role of radar-absorbing materials (RAM) and advanced conductive coatings in minimizing radar detection and safeguarding critical systems. These coatings convert or reflect radar energy, thereby reducing the radar cross-section and mitigating potential RF-induced damage. The discussion extends to the integration of these coatings with stealth-oriented geometric designs, providing a comprehensive approach to reducing a spacecraft's visibility and vulnerability in contested environments. By exploring these specialized coating technologies, the article underscores their critical importance in the next generation of spacecraft, ensuring both operational security and the longevity of space assets in increasingly hostile domains.
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Shen, Yan, and Jami J. Shah. "Feature Recognition by Volume Decomposition Using Half-Space Partitioning." In ASME 1994 Design Technical Conferences collocated with the ASME 1994 International Computers in Engineering Conference and Exhibition and the ASME 1994 8th Annual Database Symposium. American Society of Mechanical Engineers, 1994. http://dx.doi.org/10.1115/detc1994-0100.
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Abstract A volume decomposition method called minimum convex decomposition by half space partitioning has been developed to recognize machining features from the boundary representation of the solid model. First, the total volume to be removed by machining is obtained by subtracting the part from the stock. This volume is decomposed into minimum convex cells by half space partitioning at every concave edge. A method called maximum convex cell composition is developed to generate all alternative volume decompositions. The composing sub volumes are classified based on degree of freedom analysis. This paper focuses on the first part of our system, i.e., the volume decomposition. The other part of the work will be submitted for publication at a leter date.
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Abdel-Malek, Karim A., and Burton Paul. "Interference Detection of Non-Convex Solids for Manipulators." In ASME 1994 Design Technical Conferences collocated with the ASME 1994 International Computers in Engineering Conference and Exhibition and the ASME 1994 8th Annual Database Symposium. American Society of Mechanical Engineers, 1994. http://dx.doi.org/10.1115/detc1994-0374.
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Abstract When performing a computer simulation on analytical study of robot motions it is possible to unwittingly require a part of the robot (e.g. the hand) to interpenetrate (i.e. to interfere with) another part (e.g. an arm). It is therefore important to be able to predict in advance whether self interference or collision of any type occurs. This problem arises in fields of interest other than robotics, e.g. computer aided design and computer graphics. In this report, we have developed a computational method which predicts interference of moving objects in space. The method works for non-convex solids and multiply-connected solids (solids containing holes). The method checks the boundaries of surfaces enveloping solids for interference. Every pair of surfaces (one on each body) are examined for points of intersection. Points of interest are then studied to determine whether any two solids do interfere. The theory is developed for planar, ruled, and double curved surfaces.
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Kimura, Kei, and Kazuhisa Makino. "Linear Satisfiability Preserving Assignments (Extended Abstract)." In Twenty-Seventh International Joint Conference on Artificial Intelligence {IJCAI-18}. International Joint Conferences on Artificial Intelligence Organization, 2018. http://dx.doi.org/10.24963/ijcai.2018/797.
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In this paper, we study several classes of satisfiability preserving assignments to the constraint satisfaction problem. In particular, we consider fixable, autark and satisfying assignments. Since it is in general NP-hard to find a nontrivial (i.e., nonempty) satisfiability preserving assignment, we introduce linear satisfiability preserving assignments, which are defined by polyhedral cones in an associated vector space. The vector space is obtained by the identification, introduced by Kullmann, of assignments with real vectors. We consider arbitrary polyhedral cones, where only restricted classes of cones for autark assignments are considered in the literature. We reveal that cones in certain classes are maximal as a convex subset of the set of the associated vectors, which can be regarded as extensions of Kullmann's results for autark assignments of CNFs. As algorithmic results, we present a pseudo-polynomial time algorithm that computes a linear fixable assignment for a given integer linear system, which implies the well known pseudo-polynomial solvability for integer linear systems such as two-variable-per-inequality, Horn and q-Horn systems.
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Pillai, Priya P., Edward Burnell, Xiqing Wang, and Maria C. Yang. "Early-Stage Uncertainty: Effects of Robust Convex Optimization on Design Exploration." In ASME 2020 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/detc2020-22626.
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Abstract Engineers design for an inherently uncertain world. In the early stages of design processes, they commonly account for such uncertainty either by manually choosing a specific worst-case and multiplying uncertain parameters with safety factors or by using Monte Carlo simulations to estimate the probabilistic boundaries in which their design is feasible. The safety factors of this first practice are determined by industry and organizational standards, providing a limited account of uncertainty; the second practice is time intensive, requiring the development of separate testing infrastructure. In theory, robust optimization provides an alternative, allowing set based conceptualizations of uncertainty to be represented during model development as optimizable design parameters. How these theoretical benefits translate to design practice has not previously been studied. In this work, we analyzed present use of geometric programs as design models in the aerospace industry to determine the current state-of-the-art, then conducted a human-subjects experiment to investigate how various mathematical representations of uncertainty affect design space exploration. We found that robust optimization led to far more efficient explorations of possible designs with only small differences in an experimental participant’s understanding of their model. Specifically, the Pareto frontier of a typical participant using robust optimization left less performance “on the table” across various levels of risk than the very best frontiers of participants using industry-standard practices.
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Chen, Shiang-Fong, James H. Oliver, and David Fernandez-Baca. "A Fast Algorithm for Planning Collision-Free Paths With Rotations." In ASME 1997 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/detc97/dac-4002.
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Abstract Motion planning is a major problem in robotics. The objective is to plan a collision-free path for a robot moving through a workspace populated with obstacles. In this paper, we present a fast and practical algorithm for moving a convex polygonal robot among a set of polygonal obstacles with translations and rotations. The running time is O(c((n + k)N + nlogn)), where c is a parameter controlling the precision of the results, n is the total number of obstacle vertices, k is the number of intersections of configuration space obstacles, and N is the number of obstacles, decomposed into convex objects. This work builds upon the slabbing method proposed by Ahrikencheikh et al. (1994), which finds an optimal motion for a point among a set of non-overlapping obstacles. Here, we extend the slabbing method to the motion planning of a convex polygonal robot with translations and rotations, which also allows overlapping configuration space obstacles. This algorithm has been fully implemented and the experimental results show that it is more robust and faster than other approaches.
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Thompson, Lonny L. "Implementation of Non-Reflecting Boundaries in a Space-Time Finite Element Method for Structural Acoustics." In ASME 1997 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/detc97/vib-3841.
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Abstract This paper examines the development and implementation of second-order accurate non-reflecting boundary conditions in a time-discontinuous Galerkin finite element method for structural acoustics in unbounded domains. The formulation is based on a multi-field space-time variational equation for both the acoustic fluid and elastic solid together with their interaction. This approach to the modeling of the temporal variables allows for the consistent use of high-order accurate adaptive solution strategies for unstructured finite elements in both time and space. An important feature of the method is the incorporation of temporal jump operators which allow for discretizations that are discontinuous in time. Two alternative approaches are examined for implementing non-reflecting boundaries within a time-discontinuous Galerkin finite element method; direct implementation of the exterior acoustic impedance through a weighted variational equation in time and space, and indirectly through a decomposition into two equations involving an auxiliary variable defined on the non-reflecting boundary. The idea for the indirect approach was originally developed in (Kallivokas, 1991) in the context of a standard semi-discrete formulation. Extensions to general convex boundaries are also discussed — numerical results are presented for acoustic scattering from an elongated structure using a first-order accurate boundary condition applied to an elliptical absorbing boundary.
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Yannoulakis, Nicholas J., and Richard A. Wysk. "Robot Path Planning by Means of Binary Algebra." In ASME 1991 International Computers in Engineering Conference and Exposition. American Society of Mechanical Engineers, 1991. http://dx.doi.org/10.1115/cie1991-0158.
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Abstract The issues of robot path planning and collision avoidance have been addressed extensively in literature. This paper examines these problems for a specific domain: that of a rectangular gripper moving in a two-dimensional space of iso-oriented rectangular obstacles. The free space is represented by a set of binary strings. These strings are manipulated through Boolean algebra to yield the largest convex areas in which the gripper can move without colliding with any obstacles. The largest convex areas then become the nodes of two networks (one for each of the orthogonal orientations of the gripper), the arcs of which indicate the possible gripper paths and roll locations. Based on these networks, a search procedure can produce the shortest path from a start to a target position. This algorithm is easy to implement on a PC and will go from a workspace representation to robot control commands.
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Teng, Yong, Susan Carlson-Skalak, and Eric Maslen. "Magnetic Bearing Design Using Genetic Algorithms." In ASME 1999 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/detc99/dac-8610.
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Abstract A magnetic bearing system is a coupled, nonlinear, high-dimensional system. The relationship among the design parameters, design constraints and the optimization goals is not obvious. Solving this type of design problem within a reasonable time frame is a challenge for any optimization method. This research investigated the simultaneous optimization of the magnetic bearing configuration and bearing locations. A multistage genetic algorithm was developed to search through a discrete and non-convex solution space. Because the genetic algorithm can search through a much larger solution space than any engineer can do, innovative designs different from those using traditional methods can be found.
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Wen, Manhong, and Kwun-Lon Ting. "From NURBS to C-NURBS: II — C-NURBS Surfaces and C-Bezier Triangles." In ASME 1999 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/detc99/cie-9107.
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Abstract This paper develops c-NURBS surfaces and c-Bezier triangles. The projection from 6D homogenous space to 3D vector space developed in previous papers [12, 13] is applied to surfaces. As a result, a c-NURBS surface can be constructed using bicubic patches to interpolate the given control points with the de Boor-Cox algorithm. Based on this, c-NURBS surfaces have the properties of independent weight modification, super-convexity, strong c-convex hull, and hidden degrees and control points. A c-Bezier triangle can be constructed using cubic patches to interpolate the given control points with the de Casteljau algorithm. Based on this, the c-Bezier triangle has the properties of independent weight modification, super-convexity, and hidden degrees and control points. These properties provide great convenience for shape control and modification operations.
Reports on the topic "Abstract convex space"
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Thorpert, Petra, Tuva A. N. Indrevoll, Maartje Frencken, et al. Sketching as a Key Tool in Promoting Creative Thinking and Aesthetic Solutions. Faculty of Landscape Architecture, Horticulture and Crop Production Science, Swedish University of Agricultural Sciences, 2025. https://doi.org/10.54612/a.2qq4vievo6.
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This factsheet is the product of the students’ work with Procedural Theory in the course Urban Landscape Design during the spring term of 2025. The aim of the assignment is to reflect on and communicate urban landscape design working processes, by studies of sketching processes and creative thinking. The procedural theory or design process is a step-by-step procedure and exploratory method that applies a problem-solving approach to landscape design. According to Murphy (2016), a clearly defined design problem increases the likelihood of a successful resolution, where information intake and knowledge-based thinking during the design process is a critical part in achieving a successful design outcome (Bursic and Altman, 1997; Murphy, 2016). This factsheet shows some examples of the design process, and focuses mainly on reflecting on and describing the role and importance of sketching as an investigative and communicative tool that permeates the students' attempts to describe selected aspects of the design process. In this context, the design process facilitates testing, evaluation and clarification of the creative development (Hoffman 2019). The students' suggestions regarding the design flow underline, to some extent, the sketch as a crucial tool in the search for design and aesthetic solutions. The course Urban Landscape Design (LK0400) is an independent bachelor’s level course focusing on design of urban green spaces, offered at the Swedish University of Agricultural Sciences, and run by the Department of Landscape Architecture, Planning and Management (LTV faculty). The following abstracts and poster presentations present the students’ thoughts and reflections through visualisations and descriptive text, and show attempts to verbalise the design process steps/phases. The assumptions made and described in this factsheet are based on literature studies of procedural theory, as well as on the students’ previous experiences of the design process, and through individual and group reflections and discussions.
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Bacharach, Eran, and Sagar Goyal. Generation of Avian Pneumovirus Modified Clones for the Development of Attenuated Vaccines. United States Department of Agriculture, 2008. http://dx.doi.org/10.32747/2008.7696541.bard.
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Abstract (one page maximum, single spaced), include: List the original objectives, as defined in the approved proposal, and any revisions made at the beginning or during the course of project: The main goal described in our original proposal has been the development of a molecular infectious clone of the avian metapneumovirus subtype B (aMPV-B) and the modification of this clone to create mutated viruses for the development of attenuated vaccines. The Achievements and Appendix/Part I sections of this report describes the accomplishments in creating such a molecular clone. These sections also contain the results of a longitudinal study that we made in Israel, demonstrating the infiltration of field strains of aMPV into vaccinated flocks and emphasizing the need for the development of better vaccines. We also describe our unexpected findings regarding the ability of aMPV to establish persistent infection in cell cultures. Although this direction of research was not described in the original proposal we feel that it is highly important for the understanding of aMPV pathogenesis. For example, this direction has provided us with evidence showing that aMPV replication can augment influenza replication. Moreover, we observed that viruses that were produced from chronically-infected cells show reduced ciliostasis. Accordingly, we carried vaccination trials using such viruses. In the original grant proposal we also offered that the American lab will clone and express immunomodulators in the context of an aMPV -based replicon that the Israeli lab has generated. However, as we reported in our annual reports, further analysis of this replicon by the Israeli lab has revealed that the level of expression achieved by this vehicle is relatively poor; thus, the American lab has focused on sequencing the genomes of different aMPV-C isolates that differ in their virulence (including vaccine strains). Achievements and Appendix/Part II sections of this report include the summary of this effort. Background to the topic: The aMPVs belong to the paramyxoviridae family and cause mild to severe respiratory tract diseases mainly in turkeys and also in chickens. Four aMPV subgroups, A, B, C and D, have been characterized; in Israel aMPV-A and B are the common subtypes while in the USA type C is the prevalent one. Although vaccine strains do exist for aMPVs, they do not always provide full protection against virulent strains and the vaccines themselves may induce disease to some extent. Improved vaccines against aMPV are needed, to achieve better protection of the poultry industry against this pathogen. Major conclusions, solutions, achievements: We isolated aMPV-B from a diseased flock and accomplished the sequencing and cloning of its full-genome. In addition, we cloned the four genes encoding the viral replicase. These should serve as the platform for generation of modified aMPV-Bs from molecular clones. We also identified aMPVs that are attenuated in respect to their ciliostatic activity and accordingly showed the potential of such viruses as vaccine strains. For aMPV-C, the different mutations scattered along the genome of different isolates with varied virulence have been determined. Implications, both scientific and agricultural: The newly identified pattern of mutations in attenuated strains will allow better understanding of the pathogenicity of aMPV and the generation of aMPV molecular clones, together with isolation of strains with attenuated ciliostatic activity should generate improved vaccine strains Abstract (one page maximum, single spaced), include: List the original objectives, as defined in the approved proposal, and any revisions made at the beginning or during the course of project: The main goal described in our original proposal has been the development of a molecular infectious clone of the avian metapneumovirus subtype B (aMPV-B) and the modification of this clone to create mutated viruses for the development of attenuated vaccines. The Achievements and Appendix/Part I sections of this report describes the accomplishments in creating such a molecular clone. These sections also contain the results of a longitudinal study that we made in Israel, demonstrating the infiltration of field strains of aMPV into vaccinated flocks and emphasizing the need for the development of better vaccines. We also describe our unexpected findings regarding the ability of aMPV to establish persistent infection in cell cultures. Although this direction of research was not described in the original proposal we feel that it is highly important for the understanding of aMPV pathogenesis. For example, this direction has provided us with evidence showing that aMPV replication can augment influenza replication. Moreover, we observed that viruses that were produced from chronically-infected cells show reduced ciliostasis. Accordingly, we carried vaccination trials using such viruses. In the original grant proposal we also offered that the American lab will clone and express immunomodulators in the context of an aMPV -based replicon that the Israeli lab has generated. However, as we reported in our annual reports, further analysis of this replicon by the Israeli lab has revealed that the level of expression achieved by this vehicle is relatively poor; thus, the American lab has focused on sequencing the genomes of different aMPV-C isolates that differ in their virulence (including vaccine strains). Achievements and Appendix/Part II sections of this report include the summary of this effort. Background to the topic: The aMPVs belong to the paramyxoviridae family and cause mild to severe respiratory tract diseases mainly in turkeys and also in chickens. Four aMPV subgroups, A, B, C and D, have been characterized; in Israel aMPV-A and B are the common subtypes while in the USA type C is the prevalent one. Although vaccine strains do exist for aMPVs, they do not always provide full protection against virulent strains and the vaccines themselves may induce disease to some extent. Improved vaccines against aMPV are needed, to achieve better protection of the poultry industry against this pathogen. Major conclusions, solutions, achievements: We isolated aMPV-B from a diseased flock and accomplished the sequencing and cloning of its full-genome. In addition, we cloned the four genes encoding the viral replicase. These should serve as the platform for generation of modified aMPV-Bs from molecular clones. We also identified aMPVs that are attenuated in respect to their ciliostatic activity and accordingly showed the potential of such viruses as vaccine strains. For aMPV-C, the different mutations scattered along the genome of different isolates with varied virulence have been determined. Implications, both scientific and agricultural: The newly identified pattern of mutations in attenuated strains will allow better understanding of the pathogenicity of aMPV and the generation of aMPV molecular clones, together with isolation of strains with attenuated ciliostatic activity should generate improved vaccine strains.