[permalink] [id link]

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.

from
Wikipedia

## Some Related Sentences

Every and such

__Every__single instance

**of**altruistic behavior need not always increase inclusive fitness ; altruistic behaviors would have been selected for if

__such__behaviors on average increased inclusive fitness in

**the**ancestral environment

**.**

The older woman explains

**to**Anne**that**__such__is**the**lot**of****a**wife**,**and**that**marriage brings pain ("__Every__Day A Little Death ").__Every__associative algebra is obviously alternative

**,**but

**so**too are some strictly nonassociative algebras

__such__as

**the**octonions

**.**

__Every__information exchange between living organisms — i

**.**e

**.**transmission

**of**signals

**that**involve

**a**living sender and receiver

**can**be considered

**a**form

**of**communication ; and even primitive creatures

__such__as corals are competent

**to**communicate

**.**

__Every__bijective

**function**g

**has**an inverse g < sup >− 1 </ sup >,

__such__

**that**gg < sup >− 1 </ sup > = I ;

Robyn stated

**to**Aftonbladet**,****a**Swedish newspaper site**,****that**she wanted**to**start recording**a**new album in**the**beginning**of**2009 and**that**she will work with producers__such__as Kleerup (" With__Every__Heartbeat ") as well as Klas Åhlund who she worked with on Robyn**.**
She was perhaps best known for her film roles

__such__as Minnie Castevet**,**Rosemary's overly solicitous neighbor in Rosemary's Baby**,**as**the**eccentric Maude in Harold and Maude and as**the**mother**of**Orville Boggs in**the**Clint Eastwood film__Every__Which Way but Loose**.**__Every__thing depends upon

**the**evil

**of**

**the**second order ;

**it**is this which gives

**to**

__such__actions

**the**character

**of**crime

**,**and which makes punishment necessary

**.**

* Van Diemen's Land is often mentioned in

**the**works**of**Flogging Molly**,**__such__as in**the**song "__Every__Dog Has Its Day**.**__Every__synset contains

**a**group

**of**synonymous words or collocations (

**a**collocation is

**a**sequence

**of**words

**that**go together

**to**form

**a**specific meaning

**,**

__such__as " car pool "); different senses

**of**

**a**word are in different synsets

**.**

In 1984

**,****a**tribute album titled__Every__Man Has**a**Woman was released**,**featuring**a**selection**of**Ono songs performed by artists__such__as Elvis Costello**,**Roberta Flack**,**Eddie Money**,**Rosanne Cash and Harry Nilsson**.**
Earlier books

__such__as What__Every__Girl Should Know ( Margaret Sanger**,**1920 ) and A Marriage Manual ( Hannah and Abraham Stone**,**1939 ) had broken**the**silence in which many people**,**women in particular**,**had grown up in**.**
"

__Every__day " technologies__such__as weather forecasting**,**remote sensing**,**GPS systems**,**satellite television**,**and some long distance communications systems critically rely on space infrastructure**.**__Every__group

**can**be trivially made into

**a**topological group by considering

**it**with

**the**discrete topology ;

__such__groups are called discrete groups

**.**

__Every__system is unique

**to**

**the**business drivers

**it**supports

**,**therefore

**the**quality attributes

**of**

**each**system

__such__as fault-tolerance

**,**backward compatibility

**,**extensibility

**,**reliability

**,**maintainability

**,**availability

**,**security

**,**usability

**,**and

__such__other – ilities will vary with

**each**implementation

**.**

__Every__type

**of**reward

**that**

**has**been studied increases

**the**level

**of**dopamine transmission in

**the**brain

**,**and

**a**variety

**of**highly addictive drugs

**,**including stimulants

__such__as cocaine and methamphetamine

**,**act directly on

**the**dopamine system

**.**

__Every__Gundam

**has**

**a**unique name

**that**befits

**the**nature

**of**

**the**suit and / or its origins

**,**

__such__as

**the**XXXG-01W Wing Gundam

**,**XXXG-01D Gundam Deathscythe and

**the**XXXG-01S Shenlong Gundam

**.**

Pirate luminaries

__such__as William Kidd**,**Henry__Every__**,**John Bowen**,**and Thomas Tew made Antongil Bay and Nosy Boraha ( St**.**Mary ’ s Island ) (**a**small island 12 miles off**the**north-east coast**of**Madagascar ) their bases**of**operations**.**__Every__continent

**has**at

**least**one

__such__notable institute

**,**with North America and Europe leading

**the**way forward

**.**

*: 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__operating system

**,**even from

**the**same vendor

**,**could have radically different models

**of**commands

**,**operating procedures

**,**and

__such__facilities as debugging aids

**.**

Every and subset

** 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**.**0.167 seconds.