MATH 443 - Assignment #3
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14E
Fix one edge, say e, of the convex (n + 1)-gon. For any particular dissection into quadrilaterals consider the quadrilateral "supported" by edge e. The remaining three sid
MATH 443 Assignment #4
Below are short answers (hints) to assigned questions.
15A
Let k > 1. Consider an unordered partition of n into k parts: n = x1 + +xk , x1 . . . xk 1. If xk = 1 then n 1 = x1 + + xk1 is an unordered partition of n1 into k1 parts. If
MATH 443 - Assignment #5
Below are short answers (hints) to assigned questions.
37A
Let C denote the group of rotations of the cube. Following the description of elements of C in Appendix 1 we find that the cycle index of the action of C on the six faces