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Some Related Sentences
Every and simple
Every finite
simple group
is isomorphic to one of
the following groups:

#
Every simple path from a given node to any of its descendant leaves contains
the same number of black nodes
.
Every simple R-module
is isomorphic to a quotient R / m where m
is a maximal right ideal of R
. By
the above paragraph
, any quotient R / m
is a
simple module.
Every simple module is cyclic
, that
is it
is generated by one element
.

" I might easily have written this story
in the traditional manner [...]
Every novelist knows
the recipe [...] It
is not very difficult to follow a
simple, chronological scheme which
the critics will understand [...] But I
, after all
, am trying to tell
the story of this Chapelizod family
in a new way
.
Every October
, Moriarty plays host to
the Pinto Bean Fiesta
, which
is composed of a bunch of
simple games
in Crossly Park
, as well as a parade and crowning of a " Pinto Bean Queen
.
Every one of
the infinitely many vertices of G can be reached from v < sub > 1 </ sub > with a
simple path
, and each such path must start with one of
the finitely many vertices adjacent to v < sub > 1 </ sub >.
Every hour that Napoleon could have attacked earlier as he did
, would have been
is his favour
, but the French could
not attack
in the morning for
the simple reason that
the entire army had
not yet taken its battle positions
.
Every maximal outerplanar graph
is the visibility graph of a
simple polygon
.
Every closed curve c on X
is homologous to for some
simple closed curves c < sub > i </ sub >, that
is,

*
Every finite-dimensional
simple algebra over R must be a matrix ring over R
, C
, or H
. Every central
simple algebra over R must be a matrix ring over R or H
. These results follow from
the Frobenius theorem
.

*
Every finite-dimensional
simple algebra over C must be a matrix ring over C and hence every central
simple algebra over C must be a matrix ring over C
.

*
Every finite-dimensional central
simple algebra over a finite field must be a matrix ring over that field
.

*
Every automorphism of a central
simple algebra
is an inner automorphism ( follows from Skolem – Noether theorem ).

*
Every 4-dimensional central
simple algebra over a field F
is isomorphic to a quaternion algebra ;
in fact
, it
is either a two-by-two matrix algebra
, or a division algebra
.
Every simple ring R with unity
is both left and right primitive
.

# Personal right:
Every person has a right to life
but this right
is restricted and has attached certain duties –
simple living
is essential
.
Every Sámi settlement had its seita
, which had no regular shape
, and might consist of smooth or odd-looking stones picked out of a stream
, of a small pile of stones
, of a tree-stump
, or of a
simple post
.

* Rule 2 Each column has a
simple generic model:
Every column can have its own meta-model
Every and module
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 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
.
Every injective
module can be decomposed as direct sum of
indecomposable injective modules
.
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 module over a field or skew field
is projective ( even free ).

*
Every projective
module is flat
.
Every module possesses a projective resolution
.
Every module of
the form H *
is algebraically compact
.
Every indecomposable algebraically compact
module has a local endomorphism ring
.

*
Every module M has an injective hull
.

This
is up to isomorphism
the only
indecomposable module over R
. Every left R-module
is a direct sum of ( finitely or infinitely many ) copies of this
module K < sup > n </ sup >.
Every simple module is indecomposable.
Every finite-length
module M has a composition series
, and
the length of every such composition series
is equal to
the length of M
.
Every ring which
is semisimple as a
module over itself has zero Jacobson radical
, but not every ring with zero Jacobson radical
is semisimple as a
module over itself
.

*
Every module can focus on what it
is designed for
.
Every superfield
, i
. e
. a field that depends on all coordinates of
the superspace ( or
in other words
, an element of a
module of
the algebra of functions over superspace ), may be expanded with respect to
the new fermionic coordinates
.
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 single problem touched on thus far
is related to good marketing planning
.
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 man
in every one of these houses
is a Night Rider
.
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 infinite game
in which
is a Borel subset of Baire space
is determined
.
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 root of a polynomial equation whose coefficients are algebraic numbers
is again algebraic
.

*
Every rectangle R
is in M
. If
the rectangle has length h and breadth k then a ( R ) =
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
.
0.798 seconds.