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( 3 ) Every unitary representation of G that has an ( ε, K )- invariant unit vector for any ε > 0 and any compact subset K, has a non-zero invariant vector.

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## Some Related Sentences

3 and Every

__Every__tile belongs to the two suits

**of**its two values

**,**e

**.**g

**.**

**0**–

__3__belongs both to the blank suit

**(**or

**0**suit

**)**

**and**to the

__3__suit

**.**

__Every__IKEA store

**,**including those run by Ingka Holding

**,**pays

**a**franchise fee

**of**

__3__%

**of**the revenue to Inter IKEA Systems

**.**

__Every__twin prime pair except

**(**

__3__

**,**5

**)**is

**of**the form

**(**6n − 1

**,**6n + 1

**)**

**for**some natural number n

**,**

**and**with the exception

**of**< var

**>**n </ var

**>**= 1

**,**< var

**>**n </ var

**>**must end in

**0**

**,**2

**,**

__3__

**,**5

**,**7

**,**or 8

**.**

__Every__third odd number is divisible by

__3__

**,**which requires

**that**no three successive odd numbers can be prime unless one

**of**them is

__3__

**.**

They draw three conclusions from Austin:

**(**1**)**A performative utterance does not communicate information about**an**act second-hand — it is the act ;**(**2**)**__Every__aspect**of**language (" semantics**,**syntactics**,**or even phonematics ") functionally interacts with pragmatics ;**(**__3__**)**There is no distinction between language**and**speech**.**__Every__sedenion is

**a**real linear combination

**of**the

**unit**sedenions 1

**,**< var

**>**e </ var >< sub

**>**1 </ sub >, < var

**>**e </ var >< sub

**>**2 </ sub >, < var

**>**e </ var >< sub

**>**

__3__</ sub >, ...,

**and**< var

**>**e </ var >< sub

**>**15 </ sub >,

__Every__autumn

**,**according to Plutarch

**(**Life

**of**Lycurgus

**,**28

**,**

__3__– 7 ), the Spartan ephors would pro forma declare war on the helot population so

**that**

**any**Spartan citizen could kill

**a**helot without fear

**of**blood or guilt

**(**crypteia ).

*

__Every__rule**of**thumb on earth in one place-A user participation reference project based on Tom Parker's__3__best-selling books**and**more than 25 years**of**research**.**__Every__year

**,**

**a**small number

**of**graduates do this-usually

__3__or 4

**,**

**and**usually in

**a**one-for-one " trade " with

**a**similarly inclined cadet at one

**of**the other service academies

**.**

__Every__weekday

**,**more than 1

**.**

__3__million people commute to the Argentine capital

**for**work

**and**other business

**.**

__Every__year

**,**the parade steps off from St Joseph the Worker Church

**,**

**and**proceeds two miles

**(**

__3__km

**)**on New Falls Road to Conwell-Egan Catholic High School

**.**

__Every__May since 1993

**,**thousands

**of**cagers have descended upon Thermopolis

**for**the annual

__3__on

__3__Hot Spot Shootout Basketball Tournament

**.**

__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 ).

3 and unitary

In the left part there were four beads

**,**which in the first row have__unitary__values**(**1**,**2**,**__3__**,****and**4 ),**and**in the right side there are three beads with values**of**5**,**10**,****and**15 respectively**.**
Chester is

**an**unparished area within the__unitary__authority**of**Cheshire West**and**Chester as**of**1 April 2009 replacing the old Chester City Council**and**the local ward is the City ward electing__3__councillors**.**
The group Spin

**(**__3__**)**is isomorphic to the special__unitary__group SU**(**2 ); it is also diffeomorphic to the**unit**3-sphere S < sup**>**__3__</ sup**>****and**can be understood as the group**of****unit**quaternions**(**i**.**e**.**those with absolute value 1 ).
The groups he found fell mostly into several infinite classes

**(**besides symmetric groups: certain classes**of**symplectic**,**__unitary__**,****and**orthogonal groups ), but he also found__3__very large new groups**.**
The group Spin

**(**__3__**)**is isomorphic to the special__unitary__group SU**(**2 ); it is also diffeomorphic to the**unit**3-sphere S < sup**>**__3__</ sup**>****and**can be understood as the group**of****unit**quaternions**(**i**.**e**.**those with absolute value 1 ).
Thus

**,**60 is**a**__unitary__perfect number**,**because its__unitary__divisors**,**1**,**__3__**,**4**,**5**,**12**,**15**and**20 are its proper__unitary__divisors**,****and**1 +__3__+ 4 + 5 + 12 + 15 + 20 = 60**.**
Islands council areas had been

__unitary__council areas since implementation**of**the 1973 Act**,****and**Section__3__**of**the 1994 Act provided**that**the existing islands areas were to continue to be local government areas**.**
The Gell-Mann matrices

**,**named**for**Murray Gell-Mann**,**are one possible**representation****of**the infinitesimal generators**of**the special__unitary__group called SU**(**__3__).
Hence to simulate QCD

**,**with Lie group SU**(**__3__), there is**a**__3__×__3__special__unitary__matrix defined on each link**.**
This

**representation**ρ: Spin**(**__3__**)**→ GL**(**1**,**H**)**also happens to be**a**__unitary__quaternionic**representation**because
For example

**,**projective representations**of**the 3-dimensional rotation group**,**which is the special orthogonal group SO**(**__3__), are ordinary representations**of**the special__unitary__group SU**(**2 ).

3 and representation

The project involved

__3__**,**400 workers**,**mostly immigrants from Europe**,**along with hundreds**of**Mohawk iron workers**,**many from the Kahnawake reserve near Montreal**.**Perhaps the most famous popular culture__representation__**of**the building is in the 1933 film King Kong**,**in which the title character**,****a**giant ape**,**climbs to the top to escape his captors but falls to his death after being attacked by airplanes**.**
Of its factors

**,**2**and**__3__are prime**,**which means the reciprocals**of**all 3-smooth numbers**(**such as 2**,**__3__**,**4**,**6**,**8**,**9 ...) have**a**terminating__representation__in duodecimal**.**
In particular

**,**the five most elementary fractions**(**½**,**⅓**,**⅔**,**¼**and**¾**)**all have**a**short terminating__representation__in duodecimal**(****0****.**6**,****0****.**4**,****0****.**8**,****0****.**__3__**and****0****.**9**,**respectively ),**and**twelve is the smallest radix with this feature**(**since it is the least common multiple**of**__3__**and**4 ).
The concentration

**of**water associated with iron oxide varies**,**thus chemical__representation__is presented as Fe < sub**>**2 </ sub**>**O < sub**>**__3__</ sub >· xH < sub**>**2 </ sub**>**O**.**
The oldest known iconographic

__representation__**of****an**instrument displaying the essential features**of****a**guitar is**a**__3__**,**300-year-old stone carving**of****a**Hittite bard**.**
* ISO 3166-3

**,**Codes**for**the__representation__**of**names**of**countries**and**their subdivisions – Part__3__: Code**for**formerly used names**of**countries**,**defines codes**for**country names which have been deleted from ISO 3166-1 since its first publication in 1974**.**
Pi Day is observed on March 14 because

**of**the date's__representation__as__3__/ 14 in month / day date format**.**
where is the quark field

**,****a**dynamical function**of**space-time**,**in the fundamental__representation__**of**the SU**(**__3__**)**gauge group**,**indexed by ; are the gluon fields**,**also**a**dynamical function**of**space-time**,**in the adjoint__representation__**of**the SU**(**__3__**)**gauge group**,**indexed by**a****,**b**,**....
Quarks are represented by Dirac fields in the fundamental

__representation____3__**of**the gauge group SU**(**__3__).
Gluons are spin-1 bosons which also carry color charges

**,**since they lie in the adjoint__representation__8**of**SU**(**__3__).
In 1924

**a**new constitution was put in place**,**introducing elected__representation__**(**__3__out**of**22 members**)****for**the first time**.**
The term wireframe comes from designers using metal wire to represent the

__3__dimensional shape**of**solid objects**.**3D wireframe allows to construct**and**manipulate solids**and**solid surfaces**.**3D solid modeling technique efficiently draws high quality__representation__**of**solids than the conventional line drawing**.**
On 5 March 2004

**,**Dr**.**Mitchell unveiled**a**__3__/ 4 scale__representation__**of**the prototype Spitfire K5054 at the entrance to Eastleigh Airport**,**Southampton**,**on the 68th anniversary**of**its first flight**.**
At the 2005 parliamentary elections

**,**the SDPL gained only__3__**.**9 %**of**the vote**,**which was insufficient**for**the alliance to achieve parliamentary__representation__**.**
Thirteen

**of**Great Britain's colonies rebelled with the American Revolutionary War**,**beginning in 1775**,**primarily over__representation__**,**local laws**and**tax issues**,****and**established the United States**of**America**,**which was recognized internationally with the signing**of**the Treaty**of**Paris**(**1783**)**on September__3__**of****that**year**(**1783 ).
The elections take place within

**a**system**of**proportional__representation__**(**Article 129 sub 2 ); the vote is secret**and**the organisation**of**the voting is regulated by law**(**Subarticle__3__).0.361 seconds.