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Every non-trivial problem in L is complete under log-space reductions so weaker reductions are required to identify meaningful notions of L-completeness, the most common being first-order reductions.

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## Some Related Sentences

Every and non-trivial

__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__quantum field theory satisfying certain technical assumptions about its S-matrix that has

__non-trivial__interactions can only have a symmetry Lie algebra which

**is**always a direct product

**of**

**the**Poincaré group and an internal group if there

**is**a mass gap: no mixing between these two

**is**possible

**.**

Every and problem

*

__Every__finitely generated group with a recursively enumerable presentation and insoluble word__problem__**is**a subgroup**of**a finitely presented group with insoluble word__problem____Every__three years

**the**College also holds a ball

**,**usually off site due

**to**

**the**

__problem__

**of**securing

**the**college's perimeter sufficiently for insurance purposes

**.**The

**most**recent off-site ball was held was February 9

**,**2008 at Heythrop Park

**.**

__Every__closed 3-manifold has a prime decomposition: this means it

**is**

**the**connected sum

**of**prime three-manifolds ( this decomposition

**is**essentially unique except for a small

__problem__

**in**

**the**case

**of**non-orientable manifolds ).

*

__Every__positive integer can be written as**the**sum**of**73 or fewer sixth powers ( see Waring's__problem__).__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

**.**

__Every__positive integer can be expressed as

**the**sum

**of**at

**most**19 fourth powers ; every sufficiently large integer can be expressed as

**the**sum

**of**at

**most**16 fourth powers ( see Waring's

__problem__).

__Every__graph ( that

**is**connected and not a tree ) has multiple spanning trees

**,**

**so**we once again have an example where

**the**

__problem__itself allows multiple possible outcomes

**,**and

**the**algorithm chosen can arrive at any one

**of**them

**,**but will never arrive at something else

**.**

#

__Every__solution**to**a wicked__problem__**is**a " one-shot operation "; because there**is**no opportunity**to**learn by trial and error**,**every attempt counts significantly**.**
Russell

**L****.**Ackoff wrote about complex problems as messes: "__Every____problem__interacts with other problems and**is**therefore part**of**a set**of**interrelated problems**,**a system**of**problems ….

Every and L

__Every__car uses either a 5

**.**0

__L__Ford " Boss 302 " SVO or a 5

**.**0

__L__Chevrolet small block race-engine ( depending on

**the**make )-capable

**of**producing between 460 and 485 kW ( 620 — 650 bhp )

**of**power

**,**but generally quoted as a little over 450 kW ( 600 bhp )

**in**race trim

**.**

__Every__square-integrable vector field u ∈ (

__L__< sup > 2 </ sup >( Ω ))< sup > 3 </ sup > has an orthogonal decomposition:

__Every__musician

**in**

__L__

**.**A

**.**wanted

**to**participate

**,**but soon Lennon's drinking and Spector's erratic behavior ( which included his firing a gun

**in**

**the**studio control room ) caused

**the**sessions

**to**break down

**.**

* Let K < sup > a </ sup > be an algebraic closure

**of**K containing__L__**.**__Every__embedding σ**of**__L__**in**K < sup > a </ sup > which restricts**to****the**identity on K**,**satisfies σ (__L__) =__L__**.**In other words**,**σ**is**an automorphism**of**__L__over K**.**
Professor Herman Bondi

**,**who gave**the**first J**.**__L__**.**Synge Public Lecture**in**1992**,**had this**to**say: "__Every__one**of****the**other 88 % has been deeply influenced by his geometric vision and**the**clarity**of**his expression ".__Every__

__L__

**.**A

**.**# 1 song would be played

**in**chronological order ( utilizing

**the**older KHJ radio charts and other local charts ) from 1955 through 1985

**.**

__Every__commutative von Neumann algebra on a separable Hilbert space

**is**isomorphic

**to**

__L__< sup >∞</ sup >( X ) for some standard measure space ( X

**,**μ ) and conversely

**,**for every standard measure space X

**,**

__L__< sup >∞</ sup >( X )

**is**a von Neumann algebra

**.**

__Every__Data Matrix

**is**composed

**of**two solid adjacent borders

**in**an "

__L__" shape ( called

**the**" finder pattern ") and two other borders consisting

**of**alternating dark and light " cells " or modules ( called

**the**" timing pattern ").

__Every__year since 1994

**,**Lloydies have climbed onto

**the**top

**of**Millikan Library

**to**construct

**the**Lloyd Christmas Tree

**,**a monumental structure

**of**numerous Christmas lights strung together

**to**resemble a 10-story Christmas tree topped with a 12-feet-tall "

__L__." The latest off-campus pranks have been

**the**pranking

**of**MIT's Campus Preview Weekend

**,**which included many Lloydies

**.**

* James Allen ’ s Book

**of**Meditations for__Every__Day**in****the**Year ( 1913 )**of**earlier texts**,**compiled by his wife Lily__L__**.**Allen

Every and is

__Every__legislator from Brasstown Bald

**to**Folkston

__is__going

**to**have his every vote subjected

**to**

**the**closest scrutiny as a test

**of**his political allegiances

**,**not his convictions

**.**

__Every__detail

**in**his interpretation has been beautifully thought out

**,**and

**of**these I would especially cite

**the**delicious laendler touch

**the**pianist brings

**to**

**the**fifth variation ( an obvious indication that he

__is__playing with Viennese musicians )

**,**and

**the**gossamer shading throughout

**.**

__Every__taxpayer

__is__well aware

**of**

**the**vast size

**of**our annual defense budget and

**most**

**of**our readers also realize that a large portion

**of**these expenditures go for military electronics

**.**

__Every__few days

**,**

**in**

**the**early morning

**,**as

**the**work progressed

**,**twenty men would appear

**to**push it ahead and

**to**shift

**the**plank foundation that distributed its weight widely on

**the**Rotunda pavement

**,**supported as it

__is__by ancient brick vaulting

**.**

__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

**.**

__Every__library borrower

**,**or at least those whose taste goes beyond

**the**five-cent fiction rentals

**,**knows what it

__is__

**to**hear

**the**librarian say apologetically

**,**`` I'm sorry

**,**but we don't have that book

**.**

__Every__community

**,**if it

__is__alive has a spirit

**,**and that spirit

__is__

**the**center

**of**its unity and identity

**.**

The restricted principle "

__Every__partially ordered set has a maximal totally ordered subset "__is__also equivalent**to**AC over ZF**.**__Every__natural-born citizen

**of**a foreign state who

__is__also an American citizen and every natural-born American citizen who

__is__a citizen

**of**a foreign land owes a double allegiance

**,**one

**to**

**the**United States

**,**and one

**to**his homeland (

**in**

**the**event

**of**an immigrant becoming a citizen

**of**

**the**US ), or

**to**his adopted land (

**in**

**the**event

**of**an emigrant natural born citizen

**of**

**the**US becoming a citizen

**of**another nation ).

__Every__line

**of**written text

__is__a mere reflection

**of**references from any

**of**a multitude

**of**traditions

**,**or

**,**as Barthes puts it

**,**"

**the**text

__is__a tissue

**of**quotations drawn from

**the**innumerable centres

**of**culture "; it

__is__never original

**.**

__Every__year

**,**on

**the**last Sunday

**in**April

**,**there

__is__an ice fishing competition

**in**

**the**frozen estuarine waters

**of**

**the**Anadyr River's mouth

**.**

__Every__lattice element

**of**

**the**structure

__is__

**in**its proper place

**,**whether it

__is__a single atom or a molecular grouping

**.**

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