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What is cutting edge maths? - Mathematics Stack Exchange My maths teacher always keeps telling me about this 'cutting edge maths' that is going on in the world, amazing maths research, etc A lot of the google searches I've done for 'Cutting Edge Mathematics' hasn't returned much useful information, so I've taken to mathematics stack exchange
Finding the spherical coordinates for the edge obtained by cutting a . . . What I am now interested in is finding the parametrization of the cutting edge, however not as parametrization of a circle, but instead in spherical coordinates of the sphere This means I want to find the coordinates of every point on the cut, expressed in the spherical coordinate system
Cut vertices and cut edges - did I answer these correctly? Problem Find the cut vertices and cut edges for the following graphs My understanding of the definitions: A cut vertex is a vertex that when removed (with its boundary edges) from a graph creates
Cutting a cube with a plane - Mathematics Stack Exchange That would be the same as just cutting a square with a line What the questions asks for, is the shape of the two new internal faces that appears after the cut For example, if you cut along an edge to the opposite edge, you would get a rectangle of dimensions $1\times\sqrt2$ It is the intersection of the cube and the plane I speak Danish by
number theory - Undergraduate roadmap for Langlands program and its . . . This is like a person who is just learning to count asking for a roadmap to integral calculus Focus on completing the core graduate material in analysis, geometry, and algebra -- the cutting-edge stuff will come in due time
Slicing edges out of a high dimensional polytope. The original cone was $123$ and after cutting it it became $12p3$ because $12$ is a valid edge, so are $2p, p3, 31$ In 4D our plane generates 3 new edges, we know that it intersects the planes $2,3,4$
Cutting a pie into n equal pieces with fewest straight cuts Can the n 2 bound ever be beaten? For instance, it is possible to cut a pie into 7 pieces with 3 cuts, but impossible for these pieces to be equal Any thoughts on whether the n 2 bound can be beaten to create equi-area peices? Note: the cuts need not go from one edge of the circle to another