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Every search problem has a corresponding decision problem, namely

from
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## Some Related Sentences

Every and search

"

__Every__time we walk along**a**beach some ancient urge disturbs us so that we find ourselves shedding shoes and garments or scavenging among seaweed and whitened timbers like the homesick refugees of**a**long war ... Mostly the animals understand their roles**,**but man**,**by comparison**,**seems troubled by**a**message that**,**it is often said**,**he cannot quite remember or**has**gotten wrong ... Bereft of instinct**,**he must__search__continually for meanings ... Man was**a**reader before he became**a**writer**,****a**reader of what Coleridge once called the mighty alphabet of the universe.__Every__

__search__result shows

**a**histogram traffic chart of the messages matching the query

**,**and also the top matching lists and senders.

Every and problem

*

__Every__finitely generated group with**a**recursively enumerable presentation and insoluble word__problem__is**a**subgroup of**a**finitely presented group with insoluble word__problem____Every__three years the College also holds

**a**ball

**,**usually off site due to the

__problem__of securing the college's perimeter sufficiently for insurance purposes. The most recent off-site ball was held was February 9

**,**2008 at Heythrop Park.

__Every__closed 3-manifold

**has**

**a**prime decomposition: this means it is the connected sum of prime three-manifolds ( this decomposition is essentially unique except for

**a**small

__problem__in the case of non-orientable manifolds ).

*

__Every__positive integer can be written as the sum of 73 or fewer sixth powers ( see Waring's__problem__).__Every__linear program

**has**

**a**dual

__problem__with the same optimal solution

**,**but the variables in the dual

__problem__correspond to constraints in the primal

__problem__and vice versa.

__Every__positive integer can be expressed as the sum of at most 19 fourth powers ; every sufficiently large integer can be expressed as the sum of at most 16 fourth powers ( see Waring's

__problem__).

__Every__graph ( that is connected and not

**a**tree )

**has**multiple spanning trees

**,**so we once again have an example where the

__problem__itself allows multiple possible outcomes

**,**and the algorithm chosen can arrive at any one of them

**,**but will never arrive at something else.

__Every__non-trivial

__problem__in L is complete under log-space reductions so weaker reductions are required to identify meaningful notions of L-completeness

**,**the most common being first-order reductions.

#

__Every__solution to**a**wicked__problem__is**a**" one-shot operation "; because there is no opportunity to learn by trial and error**,**every attempt counts significantly.
Russell L. Ackoff wrote about complex problems as messes: "

__Every____problem__interacts with other problems and is therefore part of**a**set of interrelated problems**,****a**system of problems ….

Every and has

__Every__woman

__has__had the experience of saying no when she meant yes

**,**and saying yes when she meant no.

__Every__detail in his interpretation

__has__been beautifully thought out

**,**and of these I would especially cite the delicious laendler touch the pianist brings to the fifth variation ( an obvious indication that he is playing with Viennese musicians )

**,**and the gossamer shading throughout.

__Every__family of Riviera Presbyterian Church

__has__been asked to read the Bible and pray together daily during National Christian Family Week and to undertake one project in which all members of the family participate.

__Every__community

**,**if it is alive

__has__

**a**spirit

**,**and that spirit is the center of its unity and identity.

__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.
** Tukey's lemma:

__Every__non-empty collection of finite character__has__**a**maximal element with respect to inclusion.
*

__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__unit of length

__has__

**a**

**corresponding**unit of area

**,**

**namely**the area of

**a**square with the given side length.

__Every__field

__has__an algebraic extension which is algebraically closed ( called its algebraic closure ), but proving this in general requires some form of the axiom of choice.

__Every__ATM cell

__has__an 8-or 12-bit Virtual Path Identifier ( VPI ) and 16-bit Virtual Channel Identifier ( VCI ) pair defined in its header.

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