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Every vector a in three dimensions is a linear combination of the standard basis vectors i, j, and k.

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## Some Related Sentences

Every and vector

__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__

__vector__v

**in**determines

**a**

**linear**map from R to taking 1 to v

**,**which can be thought

**of**as

**a**Lie algebra homomorphism

**.**

__Every__

__vector__space has

**a**

**basis**

**,**

**and**all bases

**of**

**a**

__vector__space have

**the**same number

**of**elements

**,**called

**the**dimension

**of**

**the**

__vector__space

**.**

__Every__normed

__vector__space V sits as

**a**dense subspace inside

**a**Banach space ; this Banach space

**is**essentially uniquely defined by V

**and**

**is**called

**the**completion

**of**V

**.**

__Every__finite-dimensional

__vector__space

**is**isomorphic to its dual space

**,**but this isomorphism relies on an arbitrary choice

**of**isomorphism ( for example

**,**via choosing

**a**

**basis**

**and**then taking

**the**isomorphism sending this

**basis**to

**the**corresponding dual

**basis**).

__Every__random

__vector__gives rise to

**a**probability measure on R < sup > n </ sup > with

**the**Borel algebra as

**the**underlying sigma-algebra

**.**

__Every__continuous function

**in**

**the**function space can be represented as

**a**

**linear**

**combination**

**of**

**basis**functions

**,**just as every

__vector__

**in**

**a**

__vector__space can be represented as

**a**

**linear**

**combination**

**of**

**basis**

**vectors**

**.**

__Every__finite-dimensional Hausdorff topological

__vector__space

**is**reflexive

**,**because J

**is**bijective by

**linear**algebra

**,**

**and**because there

**is**

**a**unique Hausdorff

__vector__space topology on

**a**finite dimensional

__vector__space

**.**

__Every__coalgebra

**,**by (

__vector__space ) duality

**,**gives rise to an algebra

**,**but not

**in**general

**the**other way

**.**

*

__Every__holomorphic__vector__bundle on**a**projective variety**is**induced by**a**unique algebraic__vector__bundle**.**
For example

**,**second-order arithmetic can express**the**principle "__Every__countable__vector__space has**a****basis**" but it cannot express**the**principle "__Every____vector__space has**a****basis**".
Many principles that imply

**the**axiom**of**choice**in**their general form ( such as "__Every____vector__space has**a****basis**") become provable**in**weak subsystems**of**second-order arithmetic when they are restricted**.**__Every__

__vector__space

**is**free

**,**

**and**

**the**free

__vector__space on

**a**set

**is**

**a**special case

**of**

**a**free module on

**a**set

**.**

Every and three

__Every__few minutes she would awaken for

**a**moment to review things: Stowey

**,**yes

**,**was on his way south

**,**

**and**

**the**two boys were away

**in**school

**,**

**and**nothing was burning on

**the**stove

**,**

**and**Lucretia was coming for dinner

**and**bringing

__three__guests

**of**hers

**.**

``

__Every__month**,**f'r__three__days ''**,**he said happily**,**`` I take no water into my system**,**no water whatsoever**.**__Every__week Holbrook writes

**the**story line for

**the**next

__three__weeks for one

**of**his strips

**and**draws

**the**next

__three__weeks ' worth

**of**strips for another

**.**

*

__Every____three__years since Earnhardt's death**,**someone associated with Earnhardt has won**the**Daytona 500 ( his son Dale Earnhardt**,**Jr**.****in**2004**,**Earnhardt's replacement Cup driver Kevin Harvick**in**2007**,****and**Earnhardt Ganassi's Jamie McMurray**in**2010**.**__Every__January 19

**,**

**in**

**the**early hours

**of**

**the**morning

**,**

**the**person made

**a**toast

**of**cognac to Poe's original grave marker

**and**left

__three__roses

**.**

__Every__sequence can

**,**thus

**,**be read

**in**

__three__reading frames

**,**each

**of**which will produce

**a**different amino acid sequence (

**in**

**the**given example

**,**Gly-Lys-Pro

**,**Gly-Asn

**,**or Glu-Thr

**,**respectively ).

Good Trouble ( 1982 )

**and**Wheels Are Turnin ' ( 1984 ) were follow-up albums which also did well commercially**,****the**former containing**the**hit singles " Keep**the**Fire Burnin '" ( U**.**S**.**# 7 ), " Sweet Time " ( U**.**S**.**# 26 )**and****the**un-ranked " The Key "**and****the**latter containing**the**# 1 hit single " Can't Fight This Feeling " plus__three__more hits: " I Do ' Wanna Know " ( U**.**S**.**# 29 ), " One Lonely Night " ( U**.**S**.**# 19 ), " Live__Every__Moment " ( U**.**S**.**# 34 )**and****the**un-ranked " Break His Spell ".__Every__game

**in**

**the**main Zelda series has consisted

**of**

__three__principal areas: an overworld

**in**which movement

**is**multidirectional

**,**allowing

**the**player some degree

**of**freedom

**of**action ; areas

**of**interaction with other characters ( merely caves or hidden rooms

**in**

**the**first game

**,**but expanding to entire towns

**and**cities

**in**subsequent games )

**in**which

**the**player gains special items or advice ;

**and**dungeons

**,**areas

**of**labyrinthine layout

**,**usually underground

**,**comprising

**a**wide range

**of**difficult enemies

**,**bosses

**,**

**and**items

**.**

From

**a**pro-independence supporter's point**of**view**,****the**movement for Taiwan independence began under Qing rule**in****the**1680s which led to**a**well known saying those days**,**"__Every____three__years an uprising**,**every five years**a**rebellion ".__Every__island has one or two short airstrips where Vanair ’ s Twin Otter planes land two or

__three__times weekly

**.**

__Every__

__three__years

**,**member nations that provide funds to

**the**IDA gather together to replenish

**the**IDA's resources

**.**

However

**,****the**__three__propositions have different domains:**the**first proposition says something about "__Every__object ", while**the**second says something about "__Every__raven ".__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__night for

__three__years

**,**she undoes part

**of**

**the**shroud

**,**until Melantho

**,**one

**of**twelve unfaithful serving women

**,**discovers her chicanery

**and**reveals it to

**the**suitors

**.**

In

**the**autumn**of**1970 Jurgen Wischnewski**of****the**SPD declared**,**‘__Every__week more than__three__plans for reform come up for decision**in**cabinet**and****in****the**Assembly .’ ”__Every__

__three__months

**,**it publishes

**a**" Technology Quarterly ,"

**a**special section focusing on recent trends

**and**developments

**in**science

**and**technology

**.**

__Every__two years all eight districts

**of**one

**of**those groups elect all their

__three__senators

**,**assigning two

**of**them from

**the**party that obtains

**the**majority

**,**

**and**one from

**the**first minority party

**.**

Every and dimensions

__Every__reality

**of**

**the**Marvel Universe has numerous interconnected

__dimensions__

**,**with each dimension differing from those

**of**other realities ; for example

**,**

**the**Ultimate Asgard has clearly been shown to be distinct from

**the**Asgard known to Earth-616 characters

**.**

__Every__nontrivial proper rotation

**in**3

__dimensions__fixes

**a**unique 1-dimensional

**linear**subspace

**of**R < sup > 3 </ sup > which

**is**called

**the**axis

**of**rotation ( this

**is**Euler's rotation theorem ).

__Every__year

**,**

**the**John

**the**Baptist's feast day reveals

**the**cosmic

__dimensions__

**of**this church: at

**the**full midday

**of**

**the**summer solstice

**,**when

**the**sun

**is**at its upper culmination over

**the**earth

**,**

**the**light coming through

**the**southern clerestorey windows create luminous spots that exactly locate

**in**

**the**full midst

**of**

**the**nave with

**a**rigorous precision

**.**

#

__Every__Riemannian metric on**a**Riemann surface**is**Kähler**,**since**the**condition for ω to be closed**is**trivial**in**2 ( real )__dimensions__**.**
(

__Every__Calabi – Yau manifold**in**4 ( real )__dimensions__**is****a**hyperkähler manifold**,**because SU ( 2 )**is**isomorphic to Sp ( 1 ).__Every__rotation

**in**

**three**

__dimensions__

**is**defined by its axis —

**a**direction that

**is**left fixed by

**the**rotation —

**and**its angle —

**the**amount

**of**rotation about that axis ( Euler rotation theorem ).

__Every__plane B that

**is**completely orthogonalTwo flat subspaces S < sub > 1 </ sub >

**and**S < sub > 2 </ sub >

**of**

__dimensions__M

**and**N

**of**

**a**Euclidean space S

**of**at least M + N

__dimensions__are called completely orthogonal if every line

**in**S1

**is**orthogonal to every line

**in**S2

**.**

Chumbley considered

**the**practice**of**willed dreaming essential as**a**means**of**interacting directly**and**consciously with**the**spiritual__dimensions__he called '**the**High Sabbat '; according to him "__Every__word**,**deed**and**thought can empower**,**magnetise**,****and**establish points**of**receptivity for**a**magical dream**,**likewise any**of**these means can do**the**opposite-fixating perception**in****a**manner that**is**not receptive-that seals**the**soul**in****the**body instead**of**enabling it to go forth at will**.**0.395 seconds.