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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
Cut vertices and cut edges - did I answer these correctly? A cut edge is an edge that when removed (the vertices stay in place) from a graph creates more components than previously in the graph My Answers 31) The cut vertex is c c There are no cut edges 32) The cut vertices are c c and d d The cut edge is (c, d) (c, d) 33) The cut vertices are b, c, d b, c, d and i i
Finding the spherical coordinates for the edge obtained by cutting a . . . I am searching the spherical coordinates for the circular edge that are obtained when a sphere is cut at a certain position with a plane The sphere has herby a radius r and is focused at the center of a coordinate system The plane cut is performed at a certain x, y, or z position (see an exemplary cut in the linked image)
A cut in directed graph - Mathematics Stack Exchange From Cut (graph theory): Any cut determines a cut-set, the set of edges that have one endpoint in each subset of the partition By the way, nobody cares about the names S S and T T in a cut You can exchange those sets and your cut would still be a cut Therefore it doesn't make sense to talk only about edges from S S to T T but not from T T to S S
Minimum Spanning Tree (MST): Cut property direct proof I'm trying to fully understand the cut property in the concept of minimum spanning trees (MST) in graph theory and graph algorithms It seems that all the literature out there proves this theorem via
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 × 2–√ 1 × 2 It is the intersection of the cube and the plane
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
What is a proper face of a graph? - Mathematics Stack Exchange The paper On the Cutting Edge: Simplified O(n) Planarity by Edge Addition by John Boyer and Wendy Myrvold uses the term quot;proper face quot; I do not know what this term means At a guess, perh