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Some Related Sentences
Every and holomorphic
Every holomorphic function is analytic.
Every meromorphic
function on D
can be expressed as the ratio between two
holomorphic functions ( with the denominator not constant 0 ) defined
on D: any pole must coincide with
a zero
of the denominator.
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.
Every Riemann surface
is the quotient
of a free
, proper
and holomorphic action
of a discrete group
on its universal covering
and this universal covering
is holomorphically isomorphic ( one also says: " conformally equivalent ") to one
of the following:

*
Every holomorphic vector bundle
on a projective variety
is induced by
a unique algebraic vector bundle.

*
Every holomorphic line bundle
on a projective variety
is a line bundle
of a divisor.

*
Every Stein manifold
is holomorphically spreadable
, i. e. for every point
, there are
holomorphic functions defined
on all
of which form
a local coordinate system when restricted to some open neighborhood
of.
Every and function

:
Every set has
a choice
function.
Every such subset has
a smallest element
, so to specify our choice
function we
can simply say that it maps
each set to the least element
of that set.

**
Every surjective
function has
a right inverse.

* Pseudocompact:
Every real-valued continuous
function on the space
is bounded.
Every contraction mapping
is Lipschitz continuous
and hence uniformly continuous ( for
a Lipschitz continuous
function, the constant k
is no longer necessarily less than 1 ).

:
Every effectively calculable
function is a computable
function.
Every effectively calculable
function ( effectively decidable predicate )
is general recursive italics
Every effectively calculable
function ( effectively decidable predicate )
is general recursive.
Every bijective
function g has an inverse g
< sup >− 1
</ sup >, such that gg
< sup >− 1
</ sup > = I ;
Every entire
function can be represented as
a power series that converges uniformly
on compact sets.
Every completely multiplicative
function is a homomorphism
of monoids
and is completely determined by
its restriction to the prime numbers.
Every polynomial P in x corresponds to
a function, ƒ ( x )
Every primitive recursive
function is a general recursive
function.
Every time another object or customer enters the line to wait
, they join the end
of the line
and represent the “ enqueue ”
function.
Every function is a method
and methods are always called
on an object.
Every type that
is a member
of the type class defines
a function that will extract the data from the string representation
of the dumped data.
Every uniformly continuous
function between metric spaces
is continuous.
Every continuous
function on a compact set
is uniformly continuous.
Every output
of an encoder
can be described by
its own transfer
function, which
is closely related to the generator polynomial.
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 and can

** Well-ordering theorem:
Every set
can be well-ordered.
Every information exchange between living organisms — i. e. transmission
of signals that involve
a living sender
and receiver
can be considered
a form
of communication ;
and even primitive creatures such as corals are competent to communicate.
Every context-sensitive grammar which does not generate the empty string
can be transformed
into an equivalent one in Kuroda normal form.

*
Every regular language
is context-free because it
can be described by
a context-free grammar.
Every grammar in Chomsky normal form
is context-free
, and conversely
, every context-free grammar
can be transformed
into an equivalent one which
is in Chomsky normal form.
Every real number has
a ( possibly infinite ) decimal representation ; i. e., it
can be written as
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.

Group actions / representations:
Every group G
can be considered as
a category with
a single object whose morphisms are the elements
of G. A functor from G to Set
is then nothing but
a group action
of G
on a particular set
, i. e.
a G-set.
Every positive integer n
> 1
can be represented in exactly one way as
a product
of prime powers:
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 ).
Every hyperbola
is congruent to the origin-centered East-West opening hyperbola sharing
its same eccentricity ε (
its shape
, or degree
of " spread "),
and is also congruent to the origin-centered North-South opening hyperbola with identical eccentricity ε — that
is, it
can be rotated so that it opens in the desired direction
and can be translated ( rigidly moved in the plane ) so that it
is centered at the origin.
Every species
can be given
a unique (
and, one hopes
, stable ) name
, as compared with common names that are often neither unique nor consistent from place to place
and language to language.
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 morpheme
can be classified as either free or bound.
Every use
of modus tollens
can be converted to
a use
of modus ponens
and one use
of transposition to the premise which
is a material implication.
Every document window
is an object with which the user
can work.
Every adult
, healthy
, sane Muslim who has the financial
and physical capacity to travel to Mecca
and can make arrangements for the care
of his / her dependants during the trip
, must perform the Hajj once in
a lifetime.
Every ordered field
can be embedded
into the surreal numbers.

*
Every finite topological space gives rise to
a preorder
on its points
, in which x ≤ y if
and only if x belongs to every neighborhood
of y
, and every finite preorder
can be formed as the specialization preorder
of a topological space in this way.

*
Every preorder
can be given
a topology
, the Alexandrov topology ;
and indeed
, every preorder
on a set
is in one-to-one correspondence with an Alexandrov topology
on that set.
Every binary relation
R on a set S
can be extended to
a preorder
on S by taking the transitive closure
and reflexive closure
, R < sup >+=</
sup >.
0.127 seconds.