1.1) For the permutation w=63B859A7142 compute inv(w),maj(w) (here A = 10, B = 11). Apply stanley's...

1.1) For the permutation w=63B859A7142 compute inv(w),maj(w) (here A = 10, B = 11). Apply stanley's fundamental bijection to get w'. Compute inv(w') and maj(w')

1.2) Describe the bijection between full binary trees (trees where every parent has two children) with n+1 leaves to the Dyck paths of length n.

Expert Solution

1.1) Stanley defines the fundamental bijection. A bijective function is a function between the elements of two sets, where each element of one set is paired with exactly one element of the other set and each element of the other set is paired with exactly one element of the first set.

Colby Messinger answered 2 years ago

Molecular weight data for a polymer is tabulated here. (a) Compute the number-average molecular weight (b)...

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Compute the following: (a) 13^2018 (mod 12) (b) 8^11111 (mod 9) (c) 7^256 (mod 11) (d)...

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Design a combinational circuit with four inputs (A, B, C and D) and four outputs (W, X, Y and Z). When the binary input is less than 10 the binary output is two greater than the input. When the binary input is equal or greater than 10 the binary output

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Given the matrix 7 7 -4 12 -5 A = 9 10 2 6 13 8 11 15 4 1 3. a. Sort each column and store the result in an array B.

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