ЧТО ОЗНАЧАЕТ СЛОВО TOPOLOGY
Топология
Топология - это математическое исследование форм и топологических пространств. Это область математики, посвященная свойствам пространства, которые сохраняются при непрерывных деформациях, включая растяжение и изгиб, но не разрывание или склеивание. Сюда входят такие свойства, как связность, непрерывность и граница. Топология развивалась как поле исследования геометрии и теории множеств путем анализа таких понятий, как пространство, измерение и трансформация. Такие идеи восходят к Лейбнице, который в XVII веке предполагал геометрию situs и анализ situs. Термин «топология» был введен Йоханном Бенедиктом в 19 веке, хотя только в первые десятилетия 20-го века идея топологического пространства была разработана. К середине 20-го века топология стала важнейшей отраслью математики. Топология имеет много подполей: ▪ Общая топология устанавливает основополагающие аспекты топологии и исследует свойства топологических пространств и исследует понятия, присущие топологическим пространствам. Он включает точечную топологию, которая является основополагающей топологией, используемой во всех других ветвях.
Значение слова topology в словаре английский языка
Первое определение топологии в словаре - это ветвь математики, связанная с обобщением понятий непрерывности, предела и т. Д. Другое определение топологии - это ветвь геометрии, описывающая свойства фигуры, на которые не влияют непрерывные искажения, такие как растяжение или завязывание Бывшее имя: анализ situs. Топология также является семейством подмножеств заданного множества S, такое, что S - топологическое пространство.
ЦИТАТЫ СО СЛОВОМ «TOPOLOGY»
Известные цитаты и высказывания со словом
topology.
I thought of computers as very low class. I thought of myself as a pure mathematician and was interested in partial differential equations and topology and things like that.
A geometry implies the heterogeneity of locus, namely that there is a locus of the Other. Regarding this locus of the Other, of one sex as Other, as absolute Other, what does the most recent development in topology allow us to posit?
Point set topology is a disease from which the human race will soon recover.
There was a long history of speculation that in quantum gravity, unlike Einstein's classical theory, it might be possible for the topology of spacetime to change.
КНИГИ НА АНГЛИЙСКИЙ ЯЗЫКЕ, ИМЕЮЩЕЕ ОТНОШЕНИЕ К СЛОВУ «TOPOLOGY»
Поиск случаев использования слова
topology в следующих библиографических источниках. Книги, относящиеся к слову
topology, и краткие выдержки из этих книг для получения представления о контексте использования этого слова в литературе на английский языке.
An introductory textbook suitable for use in a course or for self-study, featuring broad coverage of the subject and a readable exposition, with many examples and exercises.
For instance, the set of all half-planes x > no for all real numbers 1100 satisfies
the two conditions for a basis for a topology of the plane. It is easy to see that the
only nonempty open sets of this topology are the plane itself and the elements of
...
John G. Hocking, Gail S. Young,
2012
General topology courses that assume prior background in the fundamentals can start directly with Part II and use the material in Part I for conceptual review. This text is part of the Walter Rudin Student Series in Advanced Mathematics.
After the seminal work of Milnor, Smale, and many others, in the last half of this century, the topological aspects of smooth manifolds, as distinct from the differential geometric aspects, became a subject in its own right.
6
Topology: An Introduction to the Point-set and Algebraic Areas
The text is accessible to students at the advanced undergraduate or graduate level who are conversant with the basics of real analysis or advanced calculus. Problems, with selected solutions. Bibliography. 1975 edition.
7
Topology from the Differentiable Viewpoint
This elegant book by distinguished mathematician John Milnor, provides a clear and succinct introduction to one of the most important subjects in modern mathematics.
8
A Combinatorial Introduction to
Topology
Excellent text covers vector fields, plane homology and the Jordan Curve Theorem, surfaces, homology of complexes, more.
9
Computational
Topology: An Introduction
Combining concepts from topology and algorithms, this book delivers what its title promises: an introduction to the field of computational topology.
Herbert Edelsbrunner, John Harer,
2010
10
Algebraic
Topology: A First Course
This book introduces the important ideas of algebraic topology emphasizing the relation of these ideas with other areas of mathematics.
НОВОСТИ, В КОТОРЫХ ВСТРЕЧАЕТСЯ ТЕРМИН «TOPOLOGY»
Здесь показано, как национальная и международная пресса использует термин
topology в контексте приведенных ниже новостных статей.
Data has a shape
GS: Topology is a very old branch of mathematics. It was developed in the 1700s by mathematicians like Euler. It was originally developed to quantify the ... «O'Reilly Radar, Июл 15»
How Topology Helps Us Understand Big Data
Topology is sometimes called “rubber sheet geometry.” To a topologist, a sphere and a cube are the same thing. Imagine a cube made from flexible material; ... «Lifehacker Australia, Июн 15»
What Is Topology?
Topology is a branch of mathematics that describes mathematical spaces, in particular the properties that stem from a space's shape. Many of the shapes ... «Live Science, Июн 15»
MIT Develops 3D Printed Material with Variable Topology
By combining both hard and soft materials in a single object, researchers have created a material that can change its surface topology on demand. A squeeze ... «Rapid Ready Technology, Июн 15»
Topology looks for the patterns inside big data
Topology is sometimes called "rubber sheet geometry." To a topologist, a sphere and a cube are the same thing. Imagine a cube made from flexible material; ... «Phys.Org, Май 15»
Why your car will be connected to the Internet by 2020
Topology stated that ADAS and IoV products and services will become mainstream in the auto market beginning this year through 2020. By then, ADAS will be in ... «Computerworld, Апр 15»
Cisco Acquires Embrane for SDN Topology Tech
Cisco today announced the acquisition of privately-held Embrane. Financial terms of the deal are not being publicly disclosed. Embrane will not become part of ... «EnterpriseNetworkingPlanet, Апр 15»
Why we see familiar-looking objects in Mars topology
Is she or isn't she, a face on the red planet Mars? Discovered in the thousands of photos transmitted to Earth by the Viking orbiter in the 1970s, the arrival of Mars ... «Phys.Org, Мар 15»
Uber, but for Topological Spaces
The π-Base is a souped-up version of Steen and Seebach's book Counterexamples in Topology that anyone can contribute to. As the name suggests, ... «Scientific American, Мар 15»
Altair's OptiStruct Allows for Topology Optimization and 3D Printing …
“3D printing brings new structural freedom to product design, allowing more complexity in shapes and topology and the efficient production of customized ... «3DPrint.com, Фев 15»