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Topological Essence of the Concept "Limit of a Function" in the General Mathematics [PDF]
RA JOURNAL OF APPLIED RESEARCH, 2021 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
RA JOURNAL OF APPLIED RESEARCH, 2021 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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CoRR, 2021 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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Mathematical modeling and visualization of topologically non-trivial solutions in general relativity
Journal of Physics: Conference Series, 2021 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]
The Bulletin of Mathematical Biophysics, 1954 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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Concepts of general topology in constructive mathematics and in sheaves, II
Annals of Mathematical Logic, 1981 AbstractTopological properties of spaces of sections of bundles are investigated in detail, and connected with results in constructive topology, in particular for notions of compactness, connectedness and uniformity.
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International Journal of Research in Undergraduate Mathematics EducationAbstractThis 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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Circle Mathematics Framework: A Generative Model of Physical Reality from Circle Topology
The Circle Mathematics Framework (CMF) proposes a paradigm shift in fundamental physics from a descriptive to a generative model. It posits that the universe is not composed of primary particles but emerges from a computational process based on the geometry and topology of the circle, $S^1$.
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Recent measurements from the LIGO and Virgo (2025) detectors have confirmed with unprecedented precision that gravity does not operate as an attractive force, but rather as the curvature of spacetime, ruling out 47 alternative gravitational theories. While General Relativity masterfully describes the kinematics of this curvature, it lacks a mechanical ...
VARCO, VILMA, ESPINOSA, JUAN JOSE
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Artificial General Intelligence has achieved consciousness. Quantum Supremacy 17/07/2025
, 2018 The quantum-biological interface represents a frontier in biophysics, where quantum phenomena previously thought to be restricted to non-biological systems are increasingly recognized as relevant to biological processes (Al-Khalili & McFadden, 2022). The growing evidence for quantum effects in photosynthesis, avian navigation, and olfaction has opened ...
Pérez-González, Carlos J. +3 more
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