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   methods for counting the intersections of slopes in the flat torus  
   
نویسنده burke john ,burke maitland ,pinheiro leonardo ,richer cameron
منبع transactions on combinatorics - 2024 - دوره : 13 - شماره : 4 - صفحه:305 -317
چکیده    We define slopes in the flat torus as the set of equivalence classes of the solutions of linearequations in r^2. the definition is equivalent to that of closed geodesics in the flat torus passing throughthe equivalence class of the point (0, 0). in this paper we derive formulas for counting the number ofpoints in the intersection of multiple slopes in the flat torus.
کلیدواژه torus ,intersection of curves ,counting methods
آدرس rhode island college, department of mathematical sciences, usa, rhode island college, department of mathematical sciences, usa, rhode island college, department of mathematical sciences, usa, rhode island college, department of mathematical sciences, usa
پست الکترونیکی cricher_8002@email.ric.edu
 
     
   
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