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ons The elements of Sn can be given either as 'ordinary' functions as we did in the previous pages or they can be given in cycle notation : EXAMPLE Let de Ss be the permutation 3 Then and We say the cycle notation for a is (1 2) (3 5 4)

ons The elements of Sn can be given either as 'ordinary' functions as we did in the previous pages or they can be given in cycle notation : EXAMPLE Let de Ss be the permutation 3 Then and We say the cycle notation for a is (1 2) (3 5 4)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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can do the excercise in the pic . 

Cycle notation for permutations The elements of Sn can be giuen either as 'ordinay' functions as we did in the previous pages or they can be given in cycle notation : EXAMPLE Let dE Ss be the permutation S 3 Then and We say ১he cgele notation for a is (12) (3 5 4) EXERCISE (worting with Cycle notation ) () Compute d, d, a', a", «', m, d' and d' and write them in cycle notation. (i) Do the computation without using ordinary function notation : e.g. ds dod : (13) • ( = (1)(2) (3 45) Cycle notation is also called disjoint aycle decomposition
Transcribed Image Text:Cycle notation for permutations The elements of Sn can be giuen either as 'ordinay' functions as we did in the previous pages or they can be given in cycle notation : EXAMPLE Let dE Ss be the permutation S 3 Then and We say ১he cgele notation for a is (12) (3 5 4) EXERCISE (worting with Cycle notation ) () Compute d, d, a', a", «', m, d' and d' and write them in cycle notation. (i) Do the computation without using ordinary function notation : e.g. ds dod : (13) • ( = (1)(2) (3 45) Cycle notation is also called disjoint aycle decomposition
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