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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
When you randomly shuffle a deck of cards, what is the probability that . . . The situation is not the same as in the birthday paradox The birthday paradox works because the two identical birthdays may appear between any two of the persons However, in your experiment, you demand that you are one of the two persons involved in the same card deck A situation analogous to the birthday paradox would be given by the question "what is the chance that over the last 600
difference between minimal and minimum edge cuts. A minimum edge cut is an edge cut such that there is no other edge cut containing fewer edges A minimum edge cut is always minimal, but a minimal edge cut is not always minimum [bold face mine] A minimal (and therefore minimum) edge cut will always yield two connected components Figure 1 1 shows the original graph
Mathematics Stack Exchange Q A for people studying math at any level and professionals in related fields
geometry - Compass-and-straightedge construction of the square root of . . . That said, you don't necessary have to append on a segment with the number who's square root you want to find, at least in special cases For example, suppose you want to find the square root of 5 Construct a right triangle with side lengths 1 and 2 This can be done with straight edge and compass
an optimisation problem folding paper - Mathematics Stack Exchange A standard $8 5$ inches by $11$ inches piece of paper is folded so that one corner touches the opposite long side and the crease runs from the adjacent short side to the other long side, as shown i
How to find the line that splits the area into two equal parts? Let R R be the region bounded by the graphs of y = cos(πx2) y = cos (π x 2) and y =x2 − 1 y = x 2 − 1 The line y = k y = k splits the region R R into two equal parts Find the value of k k First find the area