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(b) Showing your working, compute (5), Þ(23) and ¤(115).

(b) Showing your working, compute (5), Þ(23) and ¤(115).

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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(b) Showing your working, compute ¤(5), D(23) and ¤(115). (c) Let n = pq where p and q are two distinct primes. Recall that the Chinese Remainder Theorem states that there exists a one-to-one correspondence F between Zn and Z, x Z, such that F([0]n) = ([0]p, [0],) and F(1),) = ([1)p, [1]q). Give the function F for the case where n = 119, p = 7, q = 17 and compute the values F([25]119) and F-1([0]7, [1]17). Show your working!
Transcribed Image Text:(b) Showing your working, compute ¤(5), D(23) and ¤(115). (c) Let n = pq where p and q are two distinct primes. Recall that the Chinese Remainder Theorem states that there exists a one-to-one correspondence F between Zn and Z, x Z, such that F([0]n) = ([0]p, [0],) and F(1),) = ([1)p, [1]q). Give the function F for the case where n = 119, p = 7, q = 17 and compute the values F([25]119) and F-1([0]7, [1]17). Show your working!
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