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Branch of mathematics concerned with Möbius strips and Klein bottles
Answer for the clue "Branch of mathematics concerned with Möbius strips and Klein bottles ", 8 letters:
topology
Alternative clues for the word topology
Word definitions for topology in dictionaries
Wikipedia
Word definitions in Wikipedia
In mathematics , topology (from the Greek τόπος, place , and λόγος, study ) is concerned with the properties of space that are preserved under continuous deformations, such as stretching and bending, but not tearing or gluing. This can be studied by considering ...
WordNet
Word definitions in WordNet
n. topographic study of a given place (especially the history of place as indicated by its topography); "Greenland's topology has been shaped by the glaciers of the ice age" the study of anatomy based on regions or divisions of the body and emphasizing ...
The Collaborative International Dictionary
Word definitions in The Collaborative International Dictionary
Topology \To*pol"o*gy\, n. [Gr. ? place + -logy.] The art of, or method for, assisting the memory by associating the thing or subject to be remembered with some place. [R.] 2. a branch of mathematics which studies the properties of geometrical forms which ...
Douglas Harper's Etymology Dictionary
Word definitions in Douglas Harper's Etymology Dictionary
1650s, "study of the locations where plants are found," from topo- , comb. form of Greek topos "place" (see topos ) + -logy . Related: Topological .
Usage examples of topology.
They reshaped them, configuring the topology to enhance mathematical prowess, which took us onto a plateau beyond what the neural modifiers had been capable of doing.
Data-Link Layer specifies the topology such as Ethernet or Token Ring and frames data according to that topology.
It shuts down redundant interfaces and nodes exchange data with each other to inform the STP of loops or topology changes.
Yet while the political landscape was as divided as ever, the underlying topology was quite different.
I hope that you'll keep on the lookout for more detailed topology of the shape of ebooks and help me spot them here in plain sight.
It meant foregoing sea cliffs for seminar rooms, but in the rainy seasons he had done it, sitting in on the group’s afternoon meetings, listening to the presentations and the discussions afterward, studying the scrawled math on the screens and spending his mornings working on Riemann surfaces, Lie algebras, Euler numbers, the topologies of compact six-dimensional spaces, differential geometries, Grassmannian variables, Vlad’s emergence operators, and all the rest of the mathematics necessary to follow what the current generation was talking about.
It meant foregoing sea cliffs for seminar rooms, but in the rainy seasons he had done it, sitting in on the group's afternoon meetings, listening to the presentations and the discussions afterward, studying the scrawled math on the screens and spending his mornings working on Riemann surfaces, Lie algebras, Euler numbers, the topologies of compact six-dimensional spaces, differential geometries, Grassmannian variables, Vlad's emergence operators, and all the rest of the mathematics necessary to follow what the current generation was talking about.
It might be months or years before they advanced to complex variables and algebraic topology and the theory of continuous groups, but you did not need all those for a start on other subjects.
Equations evolved in his patterns: complex variables, differential 1 equations, topology, catastrophe theory, Selenian mystimatics.
It was still at the eighth setting, the peculiar, twisted shape that Nessus had compared to a diagram from differential topology.
They released viruses into the unprotected infostructure, corrupting the carefully controlled top-down network topology, introducing parallel and multiplex paths that made emergent global intelligence unstoppable.
Great spans joined the vistas of topology to the infinitesimal intricacies of differentials, or the plodding styles of number theory to the shifting sands of group analysis.
Mallison that I sold my hardware business, returned to college and majored in cartography and topology.
And when they'd cooled, the shapes into which they'd frozen had just happened to favor topologies close to a certain ten-dimensional total space-one which gave rise to particles like quarks and electrons, and forces like gravity and electromagnetism.
Isolated-point topologies were "spaces" where nothing actually touched anything else.