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Atomic (order theory) - Definition and Overview |
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An atom in a poset P with least element 0, is an element that is minimal among all elements that are unequal to 0.
An atomic poset P with least element 0 is one in which, for every non-zero element x of P, there is an atom a of P with a ≤ x.
Atoms in posets are abstract generalizations of singletons in set theory. Atomicity (the property of being atomic) provides an abstract generalization in the context of order theory of the ability to select an element from a non-empty set.
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Example Usage of theory) |
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NJAndTheAFan: listening to Conspiracy Theory 30 second preview and everytime i listen to it, it still sounds good |
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MarkImpomeni: @mattklewis The prob. with that theory is that by accepting that Dems "must pass something" you also accept the inevitable "improvements." |
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Lil_Karamel_xO: @ceodrew nope...thats not it.. its just..sigh..its a long story...i have a theory..idont feel like explainin it on twitter though lol |
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