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Some Related Sentences
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.
Every and real

*
Every real Banach algebra which
is a division algebra
is isomorphic to
the reals
, the complexes
, or
the quaternions.

*
Every unital
real Banach algebra with no zero divisors
, and in which every principal ideal
is closed
, is isomorphic to
the reals
, the complexes
, or
the quaternions.

*
Every commutative
real unital Noetherian Banach algebra with no zero divisors
is isomorphic to
the real or complex numbers.

*
Every commutative
real unital Noetherian Banach algebra ( possibly having zero divisors )
is finite-dimensional.
Every sequence that ran off to infinity in
the real line will then converge to ∞ in this compactification.
Every real number
, whether integer
, rational
, or irrational
, has
a unique location on
the line.
Every real number has
a ( possibly infinite ) decimal representation ; i.
e., it can be written as
Every holomorphic function can be separated into its
real and imaginary parts
, and each
of these
is a solution
of Laplace's equation on R
< sup
> 2 </ sup >.
Every ordered field
is a formally
real field.
Every ordered field
is a formally
real field
, i.
e., 0 cannot be written as
a sum
of nonzero squares.

*
Every separable metric space
is isometric to
a subset
of the ( non-separable ) Banach space l
< sup >∞</ sup
> of all bounded
real sequences with
the supremum norm ; this
is known as
the Fréchet embedding.
Every non-negative
real number
a has
a unique non-negative square root
, called
the principal square root
, which
is denoted by
, where √
is called
the radical sign or radix.
Every dual number has
the form z =
a + bε with
a and b uniquely determined
real numbers.
Every real number has an additive inverse ( i.
e. an inverse with respect to addition ) given by.
Every nonzero
real number has
a multiplicative inverse ( i.
e. an inverse with respect to multiplication ) given by ( or ).
Every real number
, rational or not
, is equated to one
and only one cut
of rationals.
Every octonion
is a real linear combination of the unit octonions:
Every real symmetric matrix
is Hermitian
, and therefore all its eigenvalues are
real.
Every Riemann surface
is a two-dimensional
real analytic manifold ( i.
e.,
a surface ), but it contains more structure ( specifically
a complex structure ) which
is needed for
the unambiguous definition
of holomorphic functions.

In his book Nirvana: The Stories Behind
Every Song
, Chuck Crisafulli writes that
the song " stands out in
the Cobain canon as
a song with
a very specific genesis
and a very
real subject ".

*
Every real number greater than zero or every complex number except 0 has two square roots.
Every finite or bounded interval
of the real numbers that contains an infinite number
of points must have at least one point
of accumulation.
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 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 vector in
the space may be written as
a linear combination of unit vectors.
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 real m-by-n matrix yields
a linear map from R
< sup
> n
</ sup
> to R
< sup
> m
</ sup >.

*
Every ( biregular ) algebraic automorphism
of a projective space
is projective
linear.
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 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 irreducible polynomial in K which has
a root in L factors into
linear factors in L.
Every linear function on
a finite-dimensional space
is continuous.
0.302 seconds.