totally ordered set

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noun Mathematics.

a set in which a relation, as “less than or equal to,” holds for all pairs of elements of the set.

Also called chain, linearly ordered set, simply ordered set.

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Based on the Random House Dictionary, © Random House, Inc. 2012.
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Totally ordered set is always a great word to know.

So is analysis. Does it mean:

a system of calculation based on the properties of numbers; the discussion of a problem by algebra consisting of calculus and its higher developments

problem solving defined only for an isolated set of points, using only arithmetic and algebra; not involving calculus

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mathematics
A set with a total ordering.

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