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Some Related Sentences
Every and sequence

#
Every sequence in A has
a convergent subsequence
, whose limit lies
in A.

* Sequentially compact:
Every sequence has
a convergent subsequence.
Every sequence that ran off to infinity
in the real line
will then converge to ∞
in this compactification.
Every page starts with
the four ASCII character
sequence OggS.

Lemma:
Every sequence
Every synset contains
a group
of synonymous words
or collocations
( a collocation is
a sequence of words that go together to form
a specific meaning
, such as " car pool ");
different senses
of a word are
in different synsets.
Every gap
sequence that contains 1 yields
a correct sort ; however
, the properties
of thus obtained versions
of Shellsort may
be very
different.
Every variable X < sub > i </ sub >
in the sequence is associated with
a Bernoulli trial
or experiment.
Every short exact
sequence
Every sequence in principle has
a generating function
of each type
( except that Lambert and Dirichlet series require indices to start at 1 rather than 0 ), but
the ease with
which they
can be handled may differ considerably.
Every time he is thrown out
of the house
, he is shown wearing
the same shirt although he does not always wear it when he is thrown out
( the producers never shot
a second
sequence with Jazz being thrown out
of the house
, only adjusting
the original scene for time purposes ; an exception is
in the episode " Community Action ", where Jazz was thrown out along with
a lifesize cardboard cut-out
of Bill Cosby
, complete with
a blooper showing Jeff Townes reshooting his flying off
the house several times
).
Every delta operator ' has
a unique
sequence of " basic polynomials ",
a polynomial
sequence defined by
three conditions:
Every year
, in numerical
sequence starting from 2007-07-07 and continuing through 2012-12-12 hoopers dance
in every city and country to raise money and donate hoops to others who can't afford them.

For
example, to study
the theorem “
Every bounded
sequence of real numbers has
a supremum ” it is necessary to use
a base system
which can speak
of real numbers and sequences
of real numbers.

*
Every Jacobi-like polynomial
sequence can have its domain shifted and /
or scaled so that its interval
of orthogonality is
, and has Q

*
Every Laguerre-like polynomial
sequence can have its domain shifted
, scaled
, and /
or reflected so that its interval
of orthogonality is
, and has Q =

*
Every Hermite-like polynomial
sequence can have its domain shifted and /
or scaled so that its interval
of orthogonality is
, and has Q
Every Turán graph is
a cograph ; that is
, it
can be formed from individual vertices by
a sequence of disjoint union and complement operations.

* Metroid:
Every game
in the Metroid series has ended with either
a timed self-destruct escape
sequence, or a cut-scene showing
the area explode
, with
the exception
of Metroid 2.

:#
Every element
of D is
the least upper bound
of a countable increasing
sequence of isolated elements.

* Conway's cosmological theorem:
Every sequence eventually splits into
a sequence of " atomic elements ",
which are finite subsequences that never again interact with their neighbors.
Every and can
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.

** 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.
Every entire function
can be represented as
a power series that converges uniformly on compact sets.

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 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 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 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 >.
0.159 seconds.