defined are the relations ≡6 and ≡10 to be certain subsets of Z^2 . Their intersection R = (≡6)∩(≡10) is another subset of Z^2 , so it is also a relation on Z. b) The relation R is equal to ≡m for some natural number m. Then i found out that m is 30... so the question is " Based on your answer to part (b), complete the following statement with a formula for p in terms of m and n, and write down a proof of your statement. Let m and n be positive integers. Then (≡m) ∩ (≡n) = (≡p), where p = .......
defined are the relations ≡6 and ≡10 to be certain subsets of Z^2 . Their intersection R = (≡6)∩(≡10) is another subset of Z^2 , so it is also a relation on Z. b) The relation R is equal to ≡m for some natural number m. Then i found out that m is 30... so the question is " Based on your answer to part (b), complete the following statement with a formula for p in terms of m and n, and write down a proof of your statement. Let m and n be positive integers. Then (≡m) ∩ (≡n) = (≡p), where p = .......
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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a) defined are the relations ≡6 and ≡10 to be certain subsets of Z^2 . Their intersection R = (≡6)∩(≡10) is another subset of Z^2 , so it is also a relation on Z.
b) The relation R is equal to ≡m for some natural number m. Then i found out that m is 30...
so the question is " Based on your answer to part (b), complete the following statement with a formula for p in terms of m and n, and write down a proof of your statement. Let m and n be positive integers. Then (≡m) ∩ (≡n) = (≡p), where p = .......
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