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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
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
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
Why can algebraic geometry be applied into theoretical physics? As I progressed in math graduate school specializing in number theory and algebraic geometry, it was astounding to discover a certain class of researchers who were doing very serious and nontrivial cutting-edge stuff connecting algebraic geometry and mathematical physics
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
Calculating angles for wood joinery - Mathematics Stack Exchange After the boards are tilted up, B cannot have been cut at 45° if the faces are the join Also, the cut edge is no longer 90° from the face (like the other 3 edges on each board) How do I calculate B and C given an angle A? Essentially, the cut faces need to be parallel to the Z-axis
combinatorics - A visual solution to the cube cutting problem . . . Finally, Oscar Lanzi's comment comes in very handy: you'll find that the three cutting planes have a line of common intersection At this point you have all the edges of all the pieces, and you should then be able to see the six tetrahedra Furthermore, you can compute all the edge lengths