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Total Relation: Binary Relation, Mathematics, Mathematical Notation, Reflexive Relation, Partially Ordered Set -

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2026-03-15
137,01 € 195,73 €

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High Quality Content by WIKIPEDIA articles! In mathematics, a binary relation R over a set X is total if for all a and b in X, a is related to b or b is related to a (or both). For example, "is less than or equal to" is a total relation over the set of real numbers, because for two numbers either the first is less than or equal to the second, or the second is less than or equal to the first. On the other ha ... Pilns apraksts

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High Quality Content by WIKIPEDIA articles! In mathematics, a binary relation R over a set X is total if for all a and b in X, a is related to b or b is related to a (or both). For example, "is less than or equal to" is a total relation over the set of real numbers, because for two numbers either the first is less than or equal to the second, or the second is less than or equal to the first. On the other hand, "is less than" is not a total relation, since one can pick two equal numbers, and then neither the first is less than the second, nor is the second less than the first. (But note that "is less than" is a weak order which gives rise to a total order, namely "is less than or equal to". The relationship between strict orders and weak orders is discussed at partially ordered set.) The relation "is a proper subset of" is also not total. Total relations are sometimes said to have comparability.

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Izdevējs OmniScriptum
Izlaides gads 2026
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EAN 9786131161537
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137,01 € 195,73 €