Question
Let n21. For each me(1,..,n), define omeS2n as follows. For each ke(1,..2m), define m(k)=(k+1)/2 if k is odd, and om(k)=m+k/2 if k is even.
Let n21. For each me(1,..,n), define omeS2n as follows. For each ke(1,..2m), define m(k)=(k+1)/2 if k is odd, and om(k)=m+k/2 if k is even. 1. Determine inv(on), i.e. determine all inversions of n, and prove a closed formula for linv(on)). 2. For m22, express m as a product of an m-cycle and m-1.
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College Algebra Graphs and Models
Authors: Marvin L. Bittinger, Judith A. Beecher, David J. Ellenbogen, Judith A. Penna
5th edition
321845404, 978-0321791009, 321791002, 978-0321783950, 321783956, 978-0321845405
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