The less-than relation, <,on reals is (a) a partial ordering since it is asymmetric and reflexive (b) a partial ordering since it is antisymmetric and reflexive (c) not a partial ordering because it is not asymmetric and not reflexive (d) not a partial ordering because it is not antisymmetric and … In mathematics, a relation is a set of ordered pairs, (x, y), such that x is from a set X, and y is from a set Y, where x is related to y by some property or rule. To learn more, visit our Earning Credit Page. 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Therefore, G is asymmetric, so we know it isn't antisymmetric, because the relation absolutely cannot go both ways. b. Symmetric cryptography uses symmetric-key algorithms for the encryption and decryption of data. just create an account. If (a,b) is in R, the (b,a ) will not be in R. Hence, if element a is related to element b through some rules, then b will not be related to a through that same rule. To understand the contemporary debate about relations we will need tohave some logical and philosophical distinctions in place. Inequality in the information possesses by parties in a contract or the presence of lopsided information causes asymmetric information. R-1 is a subset of R, where R-1 indicates the inverse of R. 3. 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