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* Every subset of may be covered by a finite set of positive orthants, whose apexes all belong to

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## Some Related Sentences

Every and subset

__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__

__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__separable metric space is isometric

**to**

**a**

__subset__

**of**the ( non-separable ) Banach space l < sup >∞</ sup >

**of**

**all**bounded real sequences with the supremum norm ; this is known as the Fréchet embedding.

*****

__Every__separable metric space is isometric

**to**

**a**

__subset__

**of**C (), the separable Banach space

**of**continuous functions → R

**,**with the supremum norm.

__Every__element s

**,**except

**a**possible greatest element

**,**has

**a**unique successor ( next element ), namely the least element

**of**the

__subset__

**of**

**all**elements greater than s.

__Every__

__subset__which has an upper bound has

**a**least upper bound.

__Every__

__subset__

**of**

**a**nowhere dense

**set**is nowhere dense

**,**and the union

**of**finitely many nowhere dense sets is nowhere dense.

__Every__

__subset__

**of**the Hilbert cube inherits from the Hilbert cube the properties

**of**being both metrizable ( and therefore T4 ) and second countable.

It is more interesting that the converse also holds:

__Every__second countable T4 space is homeomorphic**to****a**__subset__**of**the Hilbert cube.*****

__Every__totally disconnected compact metric space is homeomorphic

**to**

**a**

__subset__

**of**

**a**countable product

**of**discrete spaces.

*****

__Every__irreducible closed

__subset__

**of**P < sup > n </ sup >( k )

**of**codimension one is

**a**hypersurface ; i. e., the zero

**set**

**of**some homogeneous polynomial.

Every and may

__Every__dream

**,**and this is true

**of**

**a**mental image

**of**any type even though it

__may__

**be**readily interpreted into its equivalent

**of**wakeful thought

**,**is

**a**psychic phenomenon for which no explanation is available.

*****Revised Code

**of**Washington 9. 12. 010: "

__Every__person who brings on his or her own behalf

**,**or instigates

**,**incites

**,**or encourages another

**to**bring

**,**any false suit at law or in equity in any court

**of**this state

**,**with intent thereby

**to**distress or harass

**a**defendant in the suit

**,**or who serves or sends any paper or document purporting

**to**

**be**or resembling

**a**judicial process

**,**that is not in fact

**a**judicial process

**,**is guilty

**of**

**a**misdemeanor ; and in case the person offending is an attorney

**,**he or she

__may__

**,**in addition thereto

**be**disbarred from practicing law within this state.

Disraeli wrote

**a**personal letter**to**Gladstone**,**asking him**to**place the good**of**the party above personal animosity: "__Every__man performs his office**,**and there is**a**Power**,**greater than ourselves**,**that disposes**of****all**this ..." In responding**to**Disraeli Gladstone denied that personal feelings played any role in his decision then and previously**to**accept office**,**while acknowledging that there were differences between him and Derby " broader than you__may__have supposed.__Every__person should

**be**identified uniquely as resident in one place but where they happen

**to**

**be**on census day

**,**their de facto residence

**,**

__may__not

**be**the best place

**to**count them.

According

**to**__Every__**,**one example__may__**be**" the myth**of**St. George " and other stories about saints battling dragons**,**which were " modelled no doubt in many cases on older representations**of**the creator and preserver**of**the world in combat with chaos ".
Cobham was

**a**common butt**of**veiled satire in Elizabethan popular literature ; he figures in Ben Jonson's__Every__Man in His Humour and__may__have been part**of**the reason The Isle**of**Dogs was suppressed.__Every__convict detained in

**a**TBS-clinic

__may__get temporary leave

**,**after serving

**a**certain time or after some progress in treatment.

__Every__RFC is submitted as plain ASCII text and is published in that form

**,**but

__may__also

**be**available in other formats.

The last two lines

**of**the Act IV-scene 2 funeral song__may__also have inspired the lines W. H. Auden**,**the librettist for Stravinsky's The Rake's Progress**,**puts into the mouth**of**Anne Truelove at the end**of**the opera: "__Every__wearied body must late or soon return**to**dust ".__Every__compact Hausdorff space is also locally compact

**,**and many examples

**of**compact spaces

__may__

**be**found in the article compact space.

*: Articles 19 and 23

**of**the constitution provides**,**"__Every__person**of**I-Kiribati descent ... shall ... become or have and continue**to**have thereafter the right**to**become**a**citizen**of**Kiribati ....__Every__person**of**I-Kiribati descent who does not become**a**citizen**of**Kiribati on Independence Day ... shall**,**at any time thereafter**,****be**entitled upon making application in such manner as__may__**be**prescribed**to****be**registered as**a**citizen**of**Kiribati.__Every__first Friday

**of**the month

**,**

**a**trolley travels around Washington Street at different cafes and shops as artists showcase different pieces and

__may__include auctions. This neighboorhod is scattered with urban blight ( within the residential section

**,**from Caroll St east

**to**the Brandywine Highway ).

__Every__non-inner automorphism yields

**a**non-trivial element

**of**Out ( G ), but different non-inner automorphisms

__may__yield the same element

**of**Out ( G ).

__Every__gap sequence that contains 1 yields

**a**correct sort ; however

**,**the properties

**of**thus obtained versions

**of**Shellsort

__may__

**be**very different.

__Every__Dean

**of**the Faculty ( equivalent

**to**

**a**Provost at most universities ) has always been an active-duty brigadier general

**,**although technically

**,**

**a**civilian

__may__hold the position.

The directive declared

**,**"__Every__military commander has the responsibility**to**oppose discriminatory practices affecting his men and their dependents and**to**foster equal opportunity for them**,**not only in areas under his immediate control**,**but also in nearby communities where they__may__live or gather in off-duty hours.
From the Constitution

**of**Lithuania**,**Article 32 ( 4 ): "__Every__Lithuanian person__may__settle in Lithuania.__Every__kid is rated in running

**,**batting

**,**fielding

**,**and pitching and has personality quirks that

__may__affect the team.

__Every__late July ( ending on the last Saturday

**of**July and beginning 10 days previous ) it hosts what

__may__

**be**the world's largest free-admission fair.

__Every__5 years the JNCC coordinates

**a**compulsory review

**of**schedules 5 and 8

**to**add new species that

__may__need protection ( Legislation. gov. uk

**,**2010 ).

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