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The present reprint provides some theoretical results (and their applications) in the fields of mathematical analysis and functional analysis, in which the concept of symmetry plays an essential role. More specifically, various problems are investigated in areas, such as: optimization problems, polynomial approximation on unbounded subsets, moment problems, variational inequalities, evolutionary problems, dynamical systems, generalized convexity, partial differential equations, and special spaces of self-adjoint operators. With various examples and applications to complement and substantiate the mathematical developments, the present reprint is a valuable guide for researchers, engineers, and students in the field of mathematics, operations research, optimal control science, artificial intelligence, management science, and economics.

Symmetry. --- Symmetry (Art) --- Form (Aesthetics) --- Proportion (Art) --- Aesthetics --- Proportion

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"This book addresses typology of Late Antique and Byzantine art and architecture in eight wide-ranging contributions from an international group of scholars. A dialogue between type and its ultimate source, archetype, surpasses issues of formalism and conventional chronological narratives to suggest a more nuanced approach to typology as a systematic and systemic classification of types in the visual landscape of the pagans, Jews, and Christians. Set against the contemporaneous cultural context, select examples of Mediterranean material culture confirm the great importance of type-and-archetype constructs for theoretical discourse on architecture and visual arts. Contributors are Anna Adashinskaya, Jelena Anđelković Grašar, Jelena Bogdanović, Čedomila Marinković, Marina Mihaljević, Ljubomir Milanović, Cecilia Olovsdotter, and Ida Sinkević"--

Art, Byzantine --- Architecture, Byzantine. --- Architecture --- Art, Byzantine --- Architecture, Byzantine --- Themes, motives. --- Composition, proportion, etc. --- Historiography. --- Historiography.

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This book explains how nature's patterns - the markings on animals, windblown ripples of sand, the forms of water in motion - are woven by self-organization, through simple, local interactions between their component parts.

Pattern formation (Biology) --- Symmetry. --- Symmetry --- Biology --- Health & Biological Sciences --- Biophysics --- Aesthetics --- Proportion --- Biological pattern formation --- Developmental biology --- Geometry in nature.

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Information society. --- Space (Architecture) --- Architecture and space --- Negative space (Architecture) --- Space and architectural mass --- Space in architecture --- Architecture --- City planning --- Sociology --- Information superhighway --- Composition, proportion, etc.

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14 prominent analytic philosophers engage with philosophical puzzles raised by conceptual art: What kind of art is conceptual art? What follows from the fact that conceptual art does not aim to have aesthetic value? What knowledge or understanding can we gain from conceptual art? How ought we to appreciate conceptual art?

Aesthetics. --- Art and philosophy. --- Art --- Conceptual art. --- Art, Conceptual --- Concept art --- Language art (Fine arts) --- Possible art --- Post-object art --- Art, Modern --- Performance art --- Earthworks (Art) --- Sky art --- Beautiful, The --- Beauty --- Aesthetics --- Art and philosophy --- Philosophy and art --- Philosophy --- Esthetics --- Taste (Aesthetics) --- Criticism --- Literature --- Proportion --- Symmetry --- Philosophy. --- Analysis, interpretation, appreciation --- Psychology --- Radio broadcasting Aesthetics