| 单词 | hyperbolic geometry |
| 例句 | With “Point of Infinity,” too, he says he’s interested in the play of presence and absence, or “the presence of immateriality” suggested by its hyperbolic geometry. A New Hiroshi Sugimoto Sculpture in San Francisco Reaches for Infinity 2023-06-09T04:00:00Z Two initially parallel rays of light will diverge, and this is referred to as hyperbolic geometry. Astronomy 2016-10-13T00:00:00Z The result was a “saddle”-shaped surface—a hallmark of a field called hyperbolic geometry, which obeys different rules from the geometry most people learn in school. Unraveling the Mathematics of Smell 2018-12-01T05:00:00Z She became a full professor at Stanford University in California in 2008, by which time she was considered a leader in the fields of hyperbolic geometry, topology and dynamics. Maryam Mirzakhani (1977-2017) : Nature : Nature Research 2017-09-05T04:00:00Z A surface with one hold naturally admits flat geometry, and a surface with many holes naturally admits hyperbolic geometry. Emille Davie Lawrence's Favorite Theorem 2017-08-26T04:00:00Z Mirzakhani worked on a variety of problems related to hyperbolic geometry, which describes surfaces that are curved like a Pringles potato chip or the curly ends of a leaf of kale. Mathematics World Mourns Maryam Mirzakhani, Only Woman to Win Fields Medal 2017-07-17T04:00:00Z “Mirzakhani specialized in theoretical mathematics that read like a foreign language by those outside of mathematics: moduli spaces, Teichmüller theory, hyperbolic geometry, Ergodic theory and symplectic geometry,” the Stanford press announcement said. Maryam Mirzakhani, first woman to win mathematics' Fields medal, dies at 40 2017-07-15T04:00:00Z “Mirzakhani specialized in theoretical mathematics that read like a foreign language by those outside of mathematics: moduli spaces, Teichmüller theory, hyperbolic geometry, Ergodic theory and symplectic geometry,” according to the Stanford press announcement. Maryam Mirzakhani, first woman to win Fields Medal, dies 2017-07-15T04:00:00Z Two main possibilities then arise: one is spherical geometry, in which parallel lines can eventually touch, in the way that Earth’s meridians cross at the poles; the other is hyperbolic geometry, in which they diverge. Mathematicians create warped worlds in virtual reality 2017-03-20T04:00:00Z Broadly, Farris starts with symmetries of curves, moves to symmetries in the Euclidean plane, and ends by exploring analogous symmetries in spherical and hyperbolic geometry. Impossible Wallpaper and Mystery Curves: Exploring Symmetry in Mathematics and Art 2015-09-14T04:00:00Z Among her other findings is a surprising link between hyperbolic geometry — the geometry of saddle shapes — and string theory. 365 days: Nature's 10 In hyperbolic geometry, there is a largest triangle. Chasing the Parallel Postulate 2014-02-28T13:30:16Z On Twitter, I joked about giving a hyperbolic talk about geometry instead of a talk about hyperbolic geometry. Hyperbolic Quotes about Hyperbolic Geometry 2014-02-12T15:21:00Z When I finally get a chance, I think working on one of the projects from her book will improve both my crochet skills and my understanding of hyperbolic geometry. A Cuddly, Crocheted Klein Quartic Curve 2013-11-17T20:15:00.357Z In hyperbolic geometry, the shortest path, or “geodesic,” between two points is the path that travels through the fewest possible fishes to get from one point to the other. Getting into Shapes: From Hyperbolic Geometry to Cube Complexes 2012-12-26T17:45:00.337Z Many of those properties of Euclidean parallels, which do not hold for Lobatchewsky’s parallels in hyperbolic geometry, do hold for Clifford’s parallels in elliptic geometry. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z But as I mentioned in my recent post on hyperbolic geometry, one of the postulates, the parallel postulate, is not like the others. Chasing the Parallel Postulate 2014-02-28T13:30:16Z A talk about hyperbolic geometry is different from hyperbolic talk about geometry: “OMGosh, geometry is the coolest & it will cure cancer!” Hyperbolic Quotes about Hyperbolic Geometry 2014-02-12T15:21:00Z She includes instructions for the simple crochet pattern, but the 149-page text is a math book at heart and spends much more space on the intricacies of hyperbolic geometry. 2009-11-24T05:00:00Z Roughly speaking, hyperbolic geometry is what you get if you declare that all the fish in Figure 3 are the same size. Getting into Shapes: From Hyperbolic Geometry to Cube Complexes 2012-12-26T17:45:00.337Z Thus as in hyperbolic geometry the theory of similarity does not hold, and the elements of a triangle are determined when its three angles are given. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z In hyperbolic geometry, for example, the angles of a triangle uniquely determine the lengths of its sides. Chasing the Parallel Postulate 2014-02-28T13:30:16Z While I was preparing for my talk, I encountered several hyperbolic quotes from the early history of hyperbolic geometry. Hyperbolic Quotes about Hyperbolic Geometry 2014-02-12T15:21:00Z From these and a few other remarks it appears that Gauss possessed the foundations of hyperbolic geometry, which he was probably the first to regard as perhaps true. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z |
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