Geometric structures

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  • Five years after the meeting "Quaternionic Structures in Mathematics and Physics", which took place at the International School for Advanced Studies (SISSA), Trieste, 5-9 September 1994, we felt it was time to have another meeting on the same subject to bring together scientists from both areas. The second Meeting on Quaternionic Structures in Mathematics and Physics was held in Rome, 6-10 September 1999.

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  • The continuous reduction in size of a solid finally leads to a situation where the original solid state properties can be only partially observed or may be even com- pletely lost, as these properties are exclusively the result of the cooperation between an infinite number of building blocks. Further reduction of size finally leads to typical molecular behavior. On the other hand, even here are structural relations to the bulk occasionally detectable....

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  • This is the second in a series of three papers in which we initiate the study of very rough solutions to the initial value problem for the Einstein vacuum equations expressed relative to wave coordinates. By very rough we mean solutions which cannot be constructed by the classical techniques of energy estimates and Sobolev inequalities. In this paper we develop the geometric analysis of the Eikonal equation for microlocalized rough Einstein metrics. This is a crucial step in the derivation of the decay estimates needed in the first paper. ...

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  • Tham khảo sách 'geometrical solutions derived from mechanics by archimedes', khoa học tự nhiên, toán học phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả

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  • Glycosylatedpolyenemacrolide antibiotics, as nystatins and amphotericins, are amphiphilic structures known to exert antifungal activity by disrupting the fungal cell membrane, leading to leakage of cellular materials, and cell death. This membrane disruption is strongly influenced by the presence and the exact nature of the membrane sterols.

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  • This topic reviews the basic mathematics required in this course: A justification for a mathematical framework, the ceiling and floor functions, L’Hôpital’s rule, logarithms, arithmetic and other polynomial series, geometric series, recurrence relations, weighted averages, combinations.

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  • This topic gives an overview of the mathematical technique of a proof by induction: We will describe the inductive principle, look at ten different examples, four examples where the technique is incorrectly applied, well-ordering of the natural numbers, strong induction, geometric problems.

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  • Nonlinear Analysis of Bridge Structures 36.1 36.2 36.3 Introduction Analysis Classification and General Guidelines Classifications • General Guidelines 36 Geometrical Nonlinearity Formulations Two-Dimensional Members • Three-Dimensional Members 36.4 Material Nonlinearity Formulations Structural Concrete • Structural and Reinforcement Steel 36.5 Nonlinear Section Analysis Basic Assumptions and Formulations • Modeling and Solution Procedures • Yield Surface Equations 36.

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  • This chapter provides a brief introduction to the theory of morphological signal processing and its applications toimage analysis andnonlinear filtering. By “morphological signal processing”we mean a broad and coherent collection of theoretical concepts, mathematical tools for signal analysis, nonlinear signal operators, design methodologies, and applications systems that are based on or related to mathematical morphology (MM), a set- and lattice-theoreticmethodology for image analysis. MM aims at quantitatively describing the geometrical structure of image objects.

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  • Classical differential geometry is the approach to geometry that takes full advantage of the introduction of numerical coordinates into a geometric space. This use of coordinates in geometry was the essential insight of Rene Descartes that allowed the invention of analytic geometry and paved the way for modern differential geometry. The basic object in differential geometry (and differential topology) is the smooth manifold. This is a topological space on which a sufficiently nice family of coordinate systems or "charts" is defined.

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  • Tony Smith worked first as a toolmaker and draftsman while studying painting and drawing. After serving as clerk for Frank Lloyd Wright, he managed his own successful independent practice for almost two decades. By 1960, however, he turned to sculpture. Smith preferred mild steel to Cor-Ten steel. Mild steel accommodates itself more readily to welding, resulting in greater unity of the joining planes. Its less wavy texture makes it easier to manipulate into exactly level planes.

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  • Int J Adv Manuf Technol (2007) 34:496–515 DOI 10.1007/s00170-006-0628-x ORIGINAL ARTICLE A scaffolding architecture for conformal cooling design in rapid plastic injection moulding Received: 4 August 2005 / Accepted: 25 March 2006 / Published online: 8 June 2006 # Springer-Verlag London Limited 2006 Abstract Cooling design of plastic injection mould is important because it not only affects part quality but also the injection moulding cycle time. Traditional injection mould cooling layout is based on a conventional machining process.

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  • Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: A geometrical constant and normal normal structure in Banach Spaces

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  • In this paper we study the multifractal structure of Schramm’s SLE curves. We derive the values of the (average) spectrum of harmonic measure and prove Duplantier’s prediction for the multifractal spectrum of SLE curves. The spectrum can also be used to derive estimates of the dimension, Hölder exponent and other geometrical quantities. The SLE curves provide perhaps the only example of sets where the spectrum is non-trivial yet exactly computable.

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  • The three-dimensional crystal structure of recombinant annexin Gh1 fromGossypium hirsutum(cotton fibre) has been determined and refined to the finalR-factor of 0.219 at the resolution of 2.1 A ˚ . This plant annexin consists of the typicalannexin fold and is similar to the previously solved bell pepper annexinAnx24(Ca32), but significant differences are seen when compared to the structure of nonplant annexins.

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  • A superstructure can be thought of as the conduit which carries a roadway over a crossing. Like any other bridge component, the superstructure is comprised of many elements. In the bridge design profession, no other component elicits so much discussion, and even downright controversy, as to the type of elements to be utilized in construction. The structural and geometric complexities of the superstructure component make it one of the most challenging design problems in a bridge engineering project....

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  • One of the greatest challenges to confront an artist is drawing the human figure. Our bodies are infinitely complex yet intimately familiar, giving rise to a subject that is difficult to depict accurately yet judged incessantly. The human figure is almost overwhelmingly complex for the artist to draw. The human figure is an organic structure that defies geometric simplification. It is composed of bones, muscles, and organs, all of which are covered by a flexible layer of skin. The body has many moving parts that make it almost impossible to define as a shape. Within its skeleton are more...

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  • Oilless Guide Elements General Description Oilless Guide Elements with embedded solid lubricants are used in applications of linear or rotary motion in toolmaking, general machine construction and similar engineering uses. The structure of the base material provides closely spaced deposits of solid lubricant – properties and specifications as per table below. The elements satisfy highest demands in terms of load bearing capacity at low sliding speeds, within an extensive temperature band.

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  • CHAPTER 47 ROBOTS AND SMART MACHINES Kenneth J. Waldron, Ph.D. Professor of Mechanical Engineering The Ohio State University 47.1 INTRODUCTION / 47.1 47.2 DESIGN AND FUNCTION / 47.6 47.3 STRUCTURAL DESIGN / 47.8 47.4 ACTUATION AND POWER TRANSMISSION SYSTEMS / 47.12 47.5 SENSING SYSTEMS/47.17 47.6 COMPUTER HARDWARE AND SOFTWARE ORGANIZATION / 47.21 47.7 CONTROLLER DESIGN / 47.26 47.8 GEOMETRIC DESIGN / 47.29 47.9 TOOL DESIGN / 47.39 REFERENCES / 47.39 47.7 INTRODUCTION 47.1.

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  • Sound emission (AE) is one of the most important test non-destructive (NDT) methods of materials, construction and machinery. The sound emission method with most other technical non-destructive testing in two important respects. first of all, the signal source is always located inside the investigated materials / structures. The second important thing is the NDT method to detect geometrical discontinuities, while emission sound motion detection errors.

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