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* Every open set E is inner regular:
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Every and open
Every night they all went to Mama and Papa Albright's, and sat on the open front porch, where they could get the breeze.
When coming to Kubla Khan, he pointed out: " instead of being content to have written finely under the influence of laudanum, recommends ' Kubla-Khan ' to his readers, not as a poem, but as ' a psychological curiosity ' ... Every lover of books, scholar or not, who knows what it is to have his quarto open against a loaf at his tea ... ought to be in possession of Mr. Coleridge's poems, if it is only for ' Christabel ', ' Kubla Khan ', and the ' Ancient Mariner '.
Every judgment contained the reasons behind the decision and the judges assenting ; if there was a dissenting judge, he was allowed to deliver his own judgment, with all judgments read in open court before the agents of the parties to the dispute.
Every day, doors seem to open, and every day, we interact, perhaps more than ever before, with the world outside.
Every open subgroup H is also closed, since the complement of H is the open set given by the union of open sets gH for g in G
Every map that is injective, continuous and either open or closed is an embedding ; however there are also embeddings which are neither open nor closed.
Every year, Eton employs a ' Director-in-Residence ', an external professional director on a one-year contract who normally directs one house play and the Lower Boy play ( a school play open solely to the first two year groups ), as well as teaching Drama and Theatre Studies to most year groups.
Every microwave oven sold has a protective interlock so that it cannot be run when the door is open or improperly latched.
Every Tuesday and Saturday mornings in the summer near the old train station a farmers ' market is open, where farmers sell their fresh goods.
Every week of the Michaelmas and Lent terms, and twice in Easter term, Churchill is host to Pav, a music event unusual for Cambridge events in that it is free and open to all university members.
Every mRNA consists of three parts-5 ' untranslated region ( 5 ' UTR ), protein-coding region or open reading frame ( ORF ) and 3 ' untranslated region ( 3 ' UTR ).
Every smooth manifold defined in this way has a natural diffeology, for which the plots correspond to the smooth maps from open subsets of R < sup > n </ sup > to the manifold.
Every summer, operas, music and drama are performed in the open air at the Freilichtbühne during the month-long Wetzlar Festival (" Wetzlarer Festspiele ").
Every year there is a famous cross-country ski race called the Engadin Skimarathon from Maloja, across the frozen lakes and over the open meadows and ending in S-chanf.
Every and set
Every such subset has a smallest element, so to specify our choice function we can simply say that it maps each set to the least element of that set.
** Zorn's lemma: Every non-empty partially ordered set in which every chain ( i. e. totally ordered subset ) has an upper bound contains at least one maximal element.
The restricted principle " Every partially ordered set has a maximal totally ordered subset " is also equivalent to AC over ZF.
* Every continuous functor on a small-complete category which satisfies the appropriate solution set condition has a left-adjoint ( the Freyd adjoint functor theorem ).
* Every continuous map from a compact space to a Hausdorff space is closed and proper ( i. e., the pre-image of a compact set is compact.
Every subset A of the vector space is contained within a smallest convex set ( called the convex hull of A ), namely the intersection of all convex sets containing A.
Every corporation, whether financial or union, as well as every division of the administration, were set up as branches of the party, the CEOs, Union leaders, and division directors being sworn-in as section presidents of the party.
Every DNS zone must be assigned a set of authoritative name servers that are installed in NS records in the parent zone, and should be installed ( to be authoritative records ) as self-referential NS records on the authoritative name servers.
Group actions / representations: Every group G can be considered as a category with a single object whose morphisms are the elements of G. A functor from G to Set is then nothing but a group action of G on a particular set, i. e. a G-set.
# " Personality " Argument: this argument is based on a quote from Hegel: " Every man has the right to turn his will upon a thing or make the thing an object of his will, that is to say, to set aside the mere thing and recreate it as his own ".
Every atom across this plane has an individual set of emission cones .</ p > < p > Drawing the billions of overlapping cones is impossible, so this is a simplified diagram showing the extents of all the emission cones combined.
* Every preorder can be given a topology, the Alexandrov topology ; and indeed, every preorder on a set is in one-to-one correspondence with an Alexandrov topology on that set.
Every binary relation R on a set S can be extended to a preorder on S by taking the transitive closure and reflexive closure, R < sup >+=</ sup >.
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