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1. Let A = {1,2, 3,..., n}
(a) How many relations on A are both symmetric and anti-symmetric?
(b) If R is a relation on A that is anti-symmetric, what is the maximum number of ordered pairs that can be in R?
(c) How many anti-symmetric relations on A have the maximum size that you determined in part (b)?
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If e were rational, then e = n/m for some positive integers m, n. So then 1/e = m/n. But the series expansion for 1/e is 1/e = 1 - 1/1! + 1/2! - 1/3! + ... Call the first n v
R is called as a transitive relation if (a, b) € R, (b, c) € R → (a, c) € R In other terms if a belongs to b, b belongs to c, then a belongs to c. Transitivity be uns
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a part of a line with two end points.
Forecast Errors Differences among actual results and predictions may arise from many reasons. They may arise from random influences, usual sampling errors, option of the wrong
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