Results 291 to 300 of about 349,076 (327)
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2011
The representation of geometrical properties of spatial objects as well as of their structural aspects (topology) is crucial for GIS operations, analyses and visualizations. This chapter introduces the most important geometrical and topological concepts, considering the two dimensional as well as the three dimensional case.
Gerhard Gröger, Betsy George
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The representation of geometrical properties of spatial objects as well as of their structural aspects (topology) is crucial for GIS operations, analyses and visualizations. This chapter introduces the most important geometrical and topological concepts, considering the two dimensional as well as the three dimensional case.
Gerhard Gröger, Betsy George
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2021
This chapter presents a collection of theorems in geometry and topology, proved in the twenty-first, which are at the same time great and easy to understand. The chapter is written for undergraduate and graduate students interested in geometry and topology, as well as for mathematicians working in other areas of mathematics, who would like to learn ...
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This chapter presents a collection of theorems in geometry and topology, proved in the twenty-first, which are at the same time great and easy to understand. The chapter is written for undergraduate and graduate students interested in geometry and topology, as well as for mathematicians working in other areas of mathematics, who would like to learn ...
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1989
This volume presents some of the longstanding research problems of Geometry and Topology. It includes new aspects of mathematical research problems that will be of greatest value to all scientists working within these areas.
George Stratopoulos, George M. Rassias
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This volume presents some of the longstanding research problems of Geometry and Topology. It includes new aspects of mathematical research problems that will be of greatest value to all scientists working within these areas.
George Stratopoulos, George M. Rassias
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Topology and Geometry of Biopolymers
1996This paper is concerned with some simple lattice models of the entanglement complexity of polymers in dilute solution, with special reference to biopolymers such as DNA. We review a number of rigorous results about the asymptotic behaviour of the knot probabihty, the entanglement complexity and the writhe of a lattice polygon (as a model of a ring ...
E. J. Janse van Rensburg +4 more
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Topological projective geometries
Journal of Geometry, 1986There had been various definitions of a topological finite-dimensional projective geometry [\textit{H. Lenz}, Vorlesungen über projektive Geometrie (1965; Zbl 0134.162), \textit{J. Misfeld}, Abh. Math. Sem. Univ. Hamburg 32, 232-263 (1968; Zbl 0164.208), \textit{K. Sörensen}, Math. Z. 109, 239-245 (1969; Zbl 0181.233)].
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1999
We provide here some concrete examples in which it is possible to compute the Seiberg-Witten invariants for some classes of four-manifolds.
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We provide here some concrete examples in which it is possible to compute the Seiberg-Witten invariants for some classes of four-manifolds.
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1981
The earlier chapter of this self-contained text provide a route from first principles through standard linear and quadratic algebra to geometric algebra, with Clifford's geometric algebras taking pride of place. In parallel with this is an account, also from first principles, of the elementary theory of topological spaces and of continuous and ...
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The earlier chapter of this self-contained text provide a route from first principles through standard linear and quadratic algebra to geometric algebra, with Clifford's geometric algebras taking pride of place. In parallel with this is an account, also from first principles, of the elementary theory of topological spaces and of continuous and ...
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Molecular Topology and Geometry
1977Three main topics will be considered in this chapter, each of then corresponding to one of three major computing steps preceeding the calculation and minimisation of molecular potential energy and, therefore, all other calculations under the programming system: (a) analysis of molecular topology, (b) generation of lists of ...
Svetozar R. Niketić, Kjeld Rasmussen
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Exceptional topology of non-Hermitian systems
Reviews of Modern Physics, 2021Emil J Bergholtz +2 more
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