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open set

   Also found in: Dictionary/thesaurus, Wikipedia 0.03 sec.
open set [′ō·pən ‚set]
(mathematics)
A set included in a topology; equivalently, a set which is a neighborhood of each of its points; a topology on a space is determined by a collection of subsets which are called open.


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Those who remarked in the physiognomy of the Prince a dissolute audacity, mingled with extreme haughtiness and indifference to, the feelings of others could not yet deny to his countenance that sort of comeliness which belongs to an open set of features, well formed by nature, modelled by art to the usual rules of courtesy, yet so far frank and honest, that they seemed as if they disclaimed to conceal the natural workings of the soul.
 
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