Results 1 to 10 of about 274,537 (213)
Topological Essence of the Concept “Limit of a Function” in the General Mathematics [PDF]
RA JOURNAL OF APPLIED RESEARCH, 2021 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.
Dung, Cu Thi Kim +2 more
openaire +2 more sources
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.
Toan, Le Trong, Thao, Do Thi Thanh
openaire +2 more sources
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.
openaire +1 more source
An Interview With Albert W. Tucker [PDF]
, 1983 The mathematical career of Albert W. Tucker, Professor Emeritus at Princeton University, spans more than 50 years. Best known today for his work in mathematical programming and the theory of games (e.g., the Kuhn-Tucker theorem, Tucker tableaux, and the ...
Maurer, Stephen B., Tucker, A. W.
core +2 more sources
, 2016 This is a survey article on the theory of fusion systems, a relatively new area of mathematics with connections to local finite group theory, algebraic topology, and modular representation theory.
Aschbacher, Michael, Oliver, Bob
core +1 more source
, 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.
Gomez-Ramirez, Danny A. J. +2 more
openaire +2 more sources
Basic Properties of Metrizable Topological Spaces [PDF]
, 2009 We continue Mizar formalization of general topology according to the book [11] by Engelking. In the article, we present the final theorem of Section 4.1.
Pąk, Karol
core +3 more sources
The T-algebra spectral sequence: Comparisons and applications [PDF]
, 2014 In previous work with Niles Johnson the author constructed a spectral sequence for computing homotopy groups of spaces of maps between structured objects such as G-spaces and E_n-ring spectra.
Noel, Justin
core +1 more source
An Inquiry into the Practice of Proving in Low-Dimensional Topology [PDF]
, 2015 The aim of this article is to investigate specific aspects connected with visualization in the practice of a mathematical subfield: low-dimensional topology. Through a case study, it will be established that visualization can play an epistemic role.
A. Fomenko +17 more
core +1 more source
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
openaire +1 more source