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单词 topologically
例句 topologically
When an object is stretched or squashed — or otherwise deformed without being broken — and its features stay the same, the object is said to be “topologically protected.” Quantum Physics Can Explain Earth’s Weather 2023-08-24T04:00:00Z
This means that the hairy ball theorem automatically applies to hairy cubes, hairy stuffed animals and hairy baseball bats, which are all topologically equivalent to spheres. Math’s ‘Hairy Ball Theorem’ Has Surprising Implications 2023-08-18T04:00:00Z
Most previous efforts to topologically boost quantum computers have relied on less active control methods, making them more static and less flexible. New Phase of Matter Opens Portal to Extra Time Dimension 2022-07-26T04:00:00Z
Purely topologically, without any physics—those operations are basic algebraic operations. Math in 3-D: Q&A with Abel Prize Winner Dennis Sullivan 2022-04-05T04:00:00Z
Because both the cup and the pastry have a single hole and could be bent and stretched into the same shape without making any cuts or perforations, they are topologically identical. The Art of Mathematics in Chalk 2021-04-26T04:00:00Z
So the strip’s winding number, 1, is a topologically protected feature. Quantum Physics Can Explain Earth’s Weather 2023-08-24T04:00:00Z
The complex layered structure of alternating magnetic and topologically non-trivial regions in this material leads to an intriguing and potentially technologically useful interplay between magnetic and topological order. Magnetic and topological order united in a crystal 2019-12-17T05:00:00Z
What emerges is not a single you, but a topologically intricate version, a hyper you with two or more branches. What happens if your mind lives for ever on the internet? 2019-10-20T04:00:00Z
As a result, the physical qualities are ‘topologically protected’. Strange topological materials are popping up everywhere physicists look 2019-07-02T04:00:00Z
Kosterlitz and Thouless realized that, at low temperatures, a topologically ordered phase existed in which interacting pairs of vortices are thermodynamically stable. David J. Thouless (1934-2019) 2019-05-01T04:00:00Z
In other words, the edge current’s immunity was a topologically protected property created by the twisting interior electrons. Quantum Physics Can Explain Earth’s Weather 2023-08-24T04:00:00Z
The quantum information is thus topologically protected and immune from accidental measurement. Pushing the Boundaries in Quantum Electronics 2018-11-03T04:00:00Z
If you knew nothing about Earth itself, and only had access to latitude and longitude readings, you might wrongly conclude there’s something topologically strange going on at those points. To Test Einstein's Equations, Poke a Black Hole 2018-08-27T04:00:00Z
Roughly speaking, two spaces are topologically equivalent if you can deform one space into the other by stretching and squishing with no tearing or gluing. A Few of My Favorite Spaces: The Loch Ness Monster 2017-11-05T04:00:00Z
And, as in the case of the material, the waves are robust—or, as physicists say, “topologically protected” by the singularities in the abstract space. Waves that drive global weather patterns finally explained, thanks to inspiration from bagel-shaped quantum matter 2017-10-05T04:00:00Z
To confirm that on the largest scale, Earth’s fluids behave like electrons in a topological insulator, the team needed to find topologically twisted waves somewhere farther from the equator. Quantum Physics Can Explain Earth’s Weather 2023-08-24T04:00:00Z
The classification theorem states that all surfaces that satisfy some mild requirements are topologically equivalent to a sphere, a sum of tori, or a sum of projective planes. Emille Davie Lawrence's Favorite Theorem 2017-08-26T04:00:00Z
He came up with the first of what are called homology spheres: spaces that have the same homology as spheres but are not topologically equivalent to spheres. A Few of My Favorite Spaces: The Poincaré Homology Sphere 2017-06-04T04:00:00Z
It’s a little less than satisfying to have to take a theorem’s word for it that these four spaces are really the same topologically, but I think that’s where I am right now. A Few of My Favorite Spaces: The Loch Ness Monster 2017-11-05T04:00:00Z
These 'topologically associating domains', or TADs, are a bit like the carriages on a crowded train. DNA's secret weapon against knots and tangles
The mutations affect a newly discovered design feature of the DNA molecule called topologically associating domains, or TADs. A Family’s Shared Defect Sheds Light on the Human Genome 2017-01-09T05:00:00Z
Because the shapes of the braided paths lead to the qubit superpositions, they would be "topologically protected" from collapse, similar to how a shoelace stays tied even if nudged or bumped. Scientists are close to building a quantum computer that can beat a conventional one 2016-12-01T05:00:00Z
Poincaré used the fundamental group of the homology sphere to show that it was topologically different from a sphere. A Few of My Favorite Spaces: The Poincaré Homology Sphere 2017-06-04T04:00:00Z
It turns out that those four spaces are all topologically equivalent! A Few of My Favorite Spaces: The Loch Ness Monster 2017-11-05T04:00:00Z
Combined with the previously known band insulators, these produce a total of eight topologically distinct phases. [Report] Classification of Interacting Electronic Topological Insulators in Three Dimensions 2014-02-06T19:26:22.476Z
An external magnetic field is used to tune the energy landscape, and the temperature is adjusted to prevent thermally activated switching between topologically distinct states. [Report] Writing and Deleting Single Magnetic Skyrmions 2013-08-09T19:26:41.913Z
Nevertheless, we also observe that many topologically equivalent positions can tolerate variability in amino acid substitutions. Molecular signatures of G-protein-coupled receptors 2013-02-13T18:21:29.900Z
Two spaces are topologically equivalent if you can make one into the other by stretching or squishing, as long as you don’t tear or glue anything. A Few of My Favorite Spaces: The Poincaré Homology Sphere 2017-06-04T04:00:00Z
The central issue is to find the topologically correct model. [Technical Response] Response to Comment on “The Local Structure of Amorphous Silicon” 2012-12-20T21:25:57.750Z
The ordering of the remaining 1634 atoms is not discussed in detail but is stated to be neither topologically crystalline nor that of a true CRN because of ring statistics. [Technical Comment] Comment on “The Local Structure of Amorphous Silicon” 2012-12-20T21:25:50.123Z
The reason why he thought there was a contradiction was that he was assuming that all topologically equivalent spheres would also be smoothly equivalent. Dimension-Cruncher: Exotic Spheres Earn Mathematician John Milnor an Abel Prize 2011-03-24T22:15:00.293Z
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