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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.

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## Some Related Sentences

Every and linear

__Every__module over

**a**division ring

**has**

**a**basis ;

__linear__maps between finite-dimensional modules over

**a**division ring can be described by matrices

**,**

**and**

**the**Gaussian elimination algorithm remains applicable

**.**

__Every__time

**a**diode switches from on

**to**off or

**vice**

**versa**

**,**

**the**configuration of

**the**

__linear__network changes

**.**

__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__smooth ( or differentiable ) map φ: M → N between smooth ( or differentiable ) manifolds induces natural

__linear__maps between

**the**corresponding tangent spaces:

*

__Every____linear__combination of its components Y =**a**< sub > 1 </ sub > X < sub > 1 </ sub > + … +**a**< sub > k </ sub > X < sub > k </ sub > is normally distributed**.**__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__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__physical quantity

**has**

**a**Hermitian

__linear__operator associated

**to**it

**,**

**and**

**the**states where

**the**value of this physical quantity is definite are

**the**eigenstates of this

__linear__operator

**.**

__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__finite-dimensional normed space is reflexive

**,**simply because

**in**this case

**,**

**the**space

**,**its

**dual**

**and**bidual all have

**the**

**same**

__linear__dimension

**,**hence

**the**

__linear__injection J from

**the**definition is bijective

**,**by

**the**rank-nullity theorem

**.**

__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__bounded

__linear__transformation from

**a**normed vector space

**to**

**a**complete

**,**normed vector space can be uniquely extended

**to**

**a**bounded

__linear__transformation from

**the**completion of

**to**

**.**

__Every__vector

**a**

**in**three dimensions is

**a**

__linear__combination of

**the**standard basis vectors i

**,**j

**,**

**and**k

**.**

__Every__lattice

**in**can be generated from

**a**basis for

**the**vector space by forming all

__linear__combinations

**with**integer coefficients

**.**

Every and program

__Every__access

**to**

**the**translated file

**,**or files below

**a**hierarchy

**in**

**the**second case

**,**is

**in**fact handled by

**the**

__program__

**.**

__Every__library module

**has**at least two source files:

**a**definitions file specifying

**the**library's interface plus one or more

__program__files specifying

**the**implementation of

**the**procedures

**in**

**the**interface

**.**

Bryan's words gave rise

**to**later economic**and**political philosophies**,**including Huey Long's 1930s Share Our Wealth__program__**,****with**its trigger phrase**,**"__Every__Man**a**King " inspired by Bryan's speech**.**__Every__student of

**the**engineering trainee

__program__receives

**the**degree of “ ingénieur de l ' École centrale de Nantes ”, more commonly called “ ingénieur centralien ”.

__Every__member of

**the**Bene Gesserit is conditioned into singular loyalty

**to**

**the**order

**and**its goals

**with**allegiances

**to**even family being secondary

**,**

**and**no goal is more paramount than

**the**Sisterhood's large-scale breeding

__program__

**.**

Long created

**the**Share Our Wealth__program__**in**1934**with****the**motto "__Every__Man**a**King ", proposing new wealth redistribution measures**in****the**form of**a**net asset tax on corporations**and**individuals**to**curb**the**poverty**and**homelessness endemic nationwide during**the**Great Depression**.**__Every__school within

**the**Institute does require that applicants send

**in**an artist's statement

**,**along

**with**

**a**portfolio or audition ( depending on

**the**

__program__)

**in**order

**to**be considered for admission

**.**

__Every__

__program__involving either Catholic or Protestant churches

**in**which we participated was carefully scrutinized ....

__Every__topic which had possible theological nuances or implications was vetoed

**,**

**and**only when

**the**Rav pronounced it

**to**be satisfactory did we proceed

**to**

**the**dialogue

**.**

B ' nai B ' rith also publishes

__program__guides for local Jewish education programs**and**each year sponsors " Unto__Every__Person There is**a**Name ".__Every__action that influences an organization's improvement

__program__

**in**

**a**change agent-client system relationship can be said

**to**be an intervention

**.**

__Every__year

**,**

**the**Ohio

__program__holds

**a**bill rating on

**a**Saturday morning at

**the**state house

**in**Columbus

**.**

__Every__team

**in**

**the**league except

**the**Detroit Red Wings

**and**

**the**New Jersey Devils have introduced

**a**third jersey at one point since

**the**

__program__began

**.**

__Every__evening from this time on Gribelin brought

**to**him at

**the**Military Club

**the**

__program__for

**the**next day ; Du Paty

**and**Henry

**,**whose connection

**with**

**the**affair Esterhazy soon knew

**,**saw him several times

**,**sometimes at

**the**Montmartre cemetery

**,**sometimes on

**the**Pont d ' Alexandre III

**.**

Save

**the**Children is working**to**achieve this goal through their__Every__One Campaign**and**their seven step__program__stating:__Every__year

**,**

**the**annual Christmas

**in**Washington

__program__is filmed at

**the**museum

**,**

**with**

**the**President

**and**First Lady

**.**

__Every__Sunday

**,**Polish Radio Katowice broadcasts

**a**

__program__based on famous prewar Lwów's Merry Wave

**,**every Tuesday

**,**Polish Radio Rzeszów broadcasts

**a**

__program__Kresy Landscapes

**.**

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