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The reprint is devoted to the phenomena associated with exact or approximate axial symmetry in different areas of technical physics and mechanical engineering science. How can the symmetry of the problem be used most efficiently for its analysis? Why is the symmetry broken or why is it still approximately retained? These and other questions are discussed based on systems from different fields of engineering.
Symmetry --- History. --- Aesthetics --- Proportion
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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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In this collection of original essays, twenty-six leading scholars reconsider the long history of proportional systems across numerous periods and places, and from diverse methodological approaches including archival exploration, advanced laser scanning, and more. Prior to the advent of modern structural engineering, architects and builders used proportional systems to imbue their works with a general condition of order that was integral to their intertwined notions of beauty and structural stability. These mostly invisible intellectual frameworks ranged from simple grids and symbolic numbers, to sly manipulations of geometry and numbers that required privileged knowledge and arithmetical calculations to access. 0Since the origins of architectural history, proportional systems have served as objects of belief and modes of iconographical communication. Whether they are capable of fulfilling more tangible functions remains a matter of debate today, for this ancient and diverse belief system continues to infiltrate architectural thinking in subtle and sometimes surprising ways.
Building design --- Architecture --- architectural history --- proportion --- Composition, proportion, etc. --- Philosophy. --- History. --- Proportion (Architecture) --- Architectural design --- Composition (Art) --- Proportion
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Architecture --- Architecture --- Composition, proportion, etc.
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Designing and constructing load-bearing building elements Columns, walls and floors make up the skeleton of nearly every building. This third volume in the series SCALE, Support | Materialise, takes an in-depth look at these load-bearing structures, covering the development and realization of appropriate constructions from idea and design intention all the way to constructional implementation. Following the traditional building methods of massive, cross-wall, and skeleton construction, it points the way toward a material-appropriate constructional approach to these defining structural elements - columns, walls, and floors. Special attention is given to how constructional and technical considerations can be harmonized with spatial and formal commitments. The load-bearing elements are organized, described, and explored in detail from a material as well as a formal and constructional perspective. Their practical implementation is illustrated by a series of international examples. Tragende Bauteile gestalten und konstruieren Wand, Stütze, Decke und Dach formen das Gerippe nahezu jedes Gebäudes. Der dritte Band der Reihe SCALE, Tragen und Materialisieren, befasst sich dezidiert mit diesen tragenden Strukturen. Von der Idee, der Entwurfsabsicht, bis zur konstruktiven Umsetzung wird die Entwicklung und Realisierung angemessener Konstruktionen begleitet. Das Buch folgt dabei den tradierten Bauweisen Massiv-, Schotten- und Skelettbau und weist den Weg zu einem materialgerechten konstruktiven Umgang mit den gestaltprägenden tragenden Bauteilen Wand, Stütze, Decke und Dach. Ein wichtiges Augenmerk liegt darauf, wie im Gestaltungsprozess konstruktiv-technische Überlegungen mit räumlichen und formalen Bindungen in Einklang gebracht werden. Die tragenden Bauteile werden sowohl nach ihrer Materialität als auch formal und konstruktiv geordnet, beschrieben und detailliert. Eine Reihe internationaler Beispiele erläutert die praktische Umsetzung anschaulich.
Architecture --- Structural engineering. --- Engineering, Structural --- Structures, Engineering of --- Engineering --- Proportion (Architecture) --- Architectural design --- Composition (Art) --- Composition, proportion, etc. --- Proportion
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