Explain why every permutation in S(n) can be represented by a product of n-1 or fewer cycles of length 2 (transpositions). Represent the permutationσ in problem (1) above as a product of 8 or fewer transpositions. Is σ an even or an odd permuation?
Explain why every permutation in S(n) can be represented by a product of n-1 or fewer cycles of length 2 (transpositions). Represent the permutationσ in problem (1) above as a product of 8 or fewer tr...
Problem 10.3. Consider the following permutation f in the permutation group Sz: f:1-3, 2 H+ 6, 3 - 3, 4 +5,5 2),6 2,7 H 1. Furthermore, it is known that f is odd. (1) Determine f by writing f as a product of disjoint cycles. (2) Determine of). (3) Compute f17 by writing f17 as a product of disjoint cycles. (4) Write f as a product of transpositions. Hint. The fact that f e Sy should narrow it down to...
Let Σ = {0, 1). (a) Give a recursive definition of Σ., the set of strings from the alphabet Σ. (b) Prove that for every n E N there are 2" strings of length n in '. (c) Give a recursive definition of I(s), the length of a string s E Σ For a bitstring s, let O(s) and I(s) be number of zeroes and ones, respectively, that occur in s. So for example if s = 01001, then 0(s)...
please explain why 1010???? and also why c can be represent in that way? please draw table error code 9:07 No SIM For an integer n greater than or equal to 0, a code g that associates it with a 4-bit code word g (n) is obtained as shown on the right, but it is assumed that the following condition is satisfied 10001 2 0011 3 0010 0110 5 0111 6 0101 7 0100 8 1100, 9 1101 . For...
9. Let f be the following permutation in the symmetric group S9, written in two-line notation. 1 2 3 4 5 6 7 8 9 5 9 4 8 2 6 1 3 7 (a) Determine f3121 and explain why your answer is correct. (b) Determine ord(f) (c) Find a permutation p such that p-f 9. Let f be the following permutation in the symmetric group S9, written in two-line notation. 1 2 3 4 5 6 7 8 9...
1.Explain why there is no number that can replace N to make the equation |n| = -1 true.2. List the integers that can replace N to make the statement -|8| < n < -|-5| true.I don't really get what am I supposed to do?
Problem 11. Prove via induction that every integer n 2 can be expressed as a product of prime mumbers. You may use without proof that if n 2 2 is no such that n ab. t prime, then there exists integers a, b2 2 Problem 11. Prove via induction that every integer n 2 can be expressed as a product of prime mumbers. You may use without proof that if n 2 2 is no such that n ab. t...
After each cycle of fatty acid degradation, the product has __ fewer carbon/s. A. 1 B. 2 C. 3 D. 4 In humans, the formation of acetyl-CoA is catalyzed by ___________ during the initial cycles of fatty acid degradation and exclusively by __________ during the degradation of a 4-carbon acyl-CoA. A. enoyl-CoA hydratase; thiolase B. acetyl-CoA acyltransferase 1; acetyl-CoA acyltransferase 2 C. acetyl-CoA acyltransferase 2; acetyl-CoA acyltransferase 1 D. thiolase; enoyl-CoA hydratase
(more questions will be posted today in about 6 hrs from now.) December 8, 2018 WORK ALL PROBLEMS. SHOW WORK & INDICATE REASONING \ 1.) Let σ-(13524)(2376)(4162)(3745). Express σ as a product of disjoint cycles Express σ as a product of 2 cycles. Determine the inverse of σ. Determine the order of ơ. Determine the orbits of ơ 2) Let ф : G H be a homomorphism from group G to group H. Show that G is. one-to-one if and...
Problem 2: Let pı .. .pn E Sn be a permutation, considered in its one-line notation. A descent in p is an index 1 < i S n 1 such that p, > Pi+1. How many permutations in Sn have exactly one descent? Problem 2: Let pı .. .pn E Sn be a permutation, considered in its one-line notation. A descent in p is an index 1 Pi+1. How many permutations in Sn have exactly one descent?
Problem 4 Company ABC has an investment stream, S(n), over 2 years that can be represented as a continuous first degree polynomial function as given in the below figure for year 1 and year 2 (1) If a continuously compounded interest is applied to the instantaneous cash flow investment stream, determine the future worth of the investment at the end of year 6 Investment Stream $1,000 /year Investment Stream, $/year Time, years (2) If the investment stream was abruptly discontinued...
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