Results 11 to 20 of about 12,703,457 (252)
AbstractThis paper aims at defining and exploring design principles in a distance technological setting for an educational activity for mathematics undergraduate students, devoted to the construction of basic concepts in general topology, the promotion of problem-solving processes, the development of metacognitive aspects, and, in general, the ...
Giovannina Albano +2 more
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Shape theory and mathematical design of a general geometric kernel through regular stratified objects [PDF]
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This dissertation focuses on the mathematical design of a unified shape kernel for geometric computing, with possible applications to computer aided design (
Gomes, Abel Joao Padrao
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Topological Essence of the Concept "Limit of a Function" in the General Mathematics [PDF]
ABSTRACT: The limit of a function is one of the most important concepts in high school mathematics. But unfortunately, not many students understand the essence of this concept. They had to accept it. This paper presents the topological essence of a limit of a function and discusses methods for teaching this concept in general education in Viet Nam.
Cu Thi Kim Dung +2 more
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Topological Essence of the Concept "Limit of a Numerical Sequence" in the General Mathematics
ABSTRACT: High school mathematics includes a number of extremely important concepts, including the concept of the limit of the number sequence. However, most students when learning it do not understand it with certainty, but only accept it to apply it to solve exercises.
Le Trong Toan, Do Thi Thanh Thao
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The new computational paradigm of conceptual computation has been introduced in the research program of Artificial Mathematical Intelligence. We provide the explicit artificial generation (or conceptual computation) for the fundamental mathematical notion of topological groups.
Danny A. J. Gomez-Ramirez +2 more
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Cellular structures in Topology [PDF]
This book describes the construction and the properties of CW-complexes. These spaces are important because firstly they are the correct framework for homotopy theory, and secondly most spaces that arise in pure mathematics are of this type.
Renzo Piccinini +4 more
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Topology change and context dependence [PDF]
The nonclassical features of quantum mechanics are reproduced using models constructed with a classical theory-general relativity. The inability to define complete initial data consistently and independently of future measurements, nonlocality, and the ...
Hadley, Mark J.
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The largest topological ring of functions endowed with the m-topology [PDF]
[EN] The purpose of this article is to identify the largest subring of the ring of all real valued functions on a Tychonoff space X, which forms a topological ring endowed with the m-topology.The second author acknowledges the support of NBHM Research ...
Jindal, Varun, Chauhan, Tarun Kumar
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Mathematical modeling and visualization of topologically non-trivial solutions in general relativity
Abstract In general relativity, there is a class of solutions that currently do not have observed analogues, but on which the theory is shaped, giving an understanding what is fundamentally possible within its framework. Such solutions include wormholes, tunnels that connect distant regions in spacetime.
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Topology and life: In search of general mathematical principles in biology and sociology [PDF]
Mathematical biology has hitherto emphasized the quantitative, metric aspects of the physical manifestations of life, but has neglected the relational or positional aspects, which are of paramount importance in biology. Although, for example, the processes of locomotion, ingestion, and digestion in a human are much more complex than in a protozoan, the
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