Topological meaning in english
1The way in which constituent parts are interrelated or arranged. ‘using distances determined in this manner ignores existing road conditions and topology that can potentially affect travel time and costs’
2Mathematics ‘Euclidean geometry studies Euclidean-space-structure, topology studies topological structures, and so on.’
Pronunciation /tɒpəˈlɒdʒɪk(ə)l/Translate topological into Spanish
n. pl. to·pol·o·gies 1. Topographic study of a given place, especially the history of a region as indicated by its topography. 2. Medicine The anatomical structure of a specific area or part of the body. 3. Mathematics a. The study of certain properties that do not change as geometric figures or spaces undergo continuous deformation. These properties include openness, nearness, connectedness, and continuity. b. The underlying structure that gives rise to such properties for a given figure or space: The topology of a doughnut and a picture frame are equivalent. 4. Computers The arrangement in which the nodes of a network are connected to each other. top′o·log′ic (tŏp′ə-lŏj′ĭk), top′o·log′i·cal (-ĭ-kəl) adj. American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved. Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc. Collins German Dictionary – Complete and Unabridged 7th Edition 2005. © William Collins Sons & Co. Ltd. 1980 © HarperCollins Publishers 1991, 1997, 1999, 2004, 2005, 2007 Want to thank TFD for its existence? Tell a friend about us, add a link to this page, or visit the webmaster's page for free fun content. Link to this page:
Recently scientists have gained insight into the topology of the quantum-mechanical behavior of electrons in some materials, says Fisher, and the discovery of topological phases in the electron states of solids has revealed a ubiquitous influence of topology of the properties of various materials. Summary: TEHRAN (FNA)- A team of researchers has discovered the strongest topological conductor yet, in the form of thin crystal samples that have a spiral-staircase structure. In this position paper, we present a brief overview of the ways topological tools, in particular persistent homology, has been applied to machine learning and data analysis problems. For a Tychonoff space X, we denote by L(X), V(X), F(X), and A(X) the free locally convex space, the free topological vector space, the free topological group, and the free abelian topological group over X, respectively. |