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Some Related Sentences
Every and real-valued
Every special uniformly
continuous real-valued function defined
on the metric
space is uniformly approximable by means of Lipschitz functions
.
Every and continuous
* Every continuous functor
on a small-complete category which satisfies
the appropriate solution set condition has a left-adjoint (
the Freyd adjoint functor theorem ).
Every character
is automatically
continuous from A to C, since
the kernel of a character
is a maximal ideal, which
is closed
.
* Every continuous map from a compact
space to a Hausdorff
space is closed and proper ( i
. e.,
the pre-image of a compact set
is compact
.
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 continuous map f
: X → Y induces an algebra homomorphism C ( f )
: C ( Y ) → C ( X ) by
the rule C ( f )( φ ) = φ o f for every φ in C ( Y ).
Every space filling curve hits some points multiple times, and does not have a
continuous inverse
.
* Every separable metric
space is isometric to a subset of C (),
the separable Banach
space of
continuous functions → R, with
the supremum norm
.
Every uniformly
continuous function between metric spaces
is continuous.
Every continuous function on a compact set
is uniformly
continuous.
Every topological group can be viewed as a uniform
space in two ways ;
the left uniformity turns all left multiplications into uniformly
continuous maps while
the right uniformity turns all right multiplications into uniformly
continuous maps
.
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 Lipschitz
continuous map
is uniformly
continuous, and hence a fortiori
continuous.
Every embedding
is injective and
continuous.
Every map that
is injective,
continuous and either open or closed
is an embedding ; however there are also embeddings which are neither open nor closed
.
* Every compact Hausdorff
space of weight at most ( see Aleph number )
is the continuous image of ( this does not need
the continuum hypothesis, but
is less interesting in its absence ).
Every place south of
the Antarctic Circle experiences a period of twenty-four hours '
continuous daylight at least once per year, and a period of twenty-four hours '
continuous night time at least once per year
.
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
.
: 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 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 holomorphic
function is analytic
.
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 output of an encoder can be described by its own transfer
function, which
is closely related to
the generator polynomial
.
Every and on
Every day, when
the President took his nap, Rob Roy would stretch out
on the window seat near him, like a perfect gentleman, and stare thoughtfully out
the window, or he would take a little nap himself
.
Every man who dabbles in
the market to make a little easy money
on the side and suffers losses could at
the time hardly face his wife who was wondering how her husband could be so dumb
.
Every eye was
on him as he began to speak
.
Every few minutes she would awaken for a moment to review things
: Stowey, yes, was
on his way south, and
the two boys were away in school, and nothing was burning
on the stove, and Lucretia was coming for dinner and bringing three guests of hers
.
Every night they all went to Mama and Papa Albright's, and sat
on the open front porch, where they could get
the breeze
.
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 decision was made quickly
on sound grounds
.
Every night when he wanted a drink of water, didn't he practice being fearless by not turning
on the bathroom light??
Every single instance of altruistic behavior need not always increase inclusive fitness ; altruistic behaviors would have been selected for if such behaviors
on average increased inclusive fitness in
the ancestral environment
.
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 actor who has opened in
the role of Pseudolus
on Broadway ( Zero Mostel, Phil Silvers and Nathan Lane ) won a Best Actor Tony Award for their performance
.
* Revised Code of Washington 9
. 12
. 010
: "
Every person who brings
on his or her own behalf, or instigates, incites, or encourages another to bring, any false suit at law or in equity in any court of this state, with intent thereby to distress or harass a defendant in
the suit, or who serves or sends any paper or document purporting to be or resembling a judicial process, that
is not in fact a judicial process,
is guilty of a misdemeanor ; and in case
the person offending
is an attorney, he or she may, in addition thereto be disbarred from practicing law within this state
.
Every cladogram
is based
on a particular dataset that was analyzed with a particular method
.
Every year,
the European Joint Conferences
on Theory and Practice of Software ( ETAPS ) sponsors
the International Conference
on Compiler Construction ( CC ), with papers from both
the academic and industrial sectors
.
Every Halloween, Dabney House conducts
the infamous " Millikan pumpkin-drop experiment " from
the top of Millikan Library,
the highest point
on campus
.

#
Every net
on X has a convergent subnet ( see
the article
on nets for a proof ).

#
Every filter
on X has a convergent refinement
.

#
Every ultrafilter
on X converges to at least one point
.
Every person should be identified uniquely as resident in one place but where they happen to be
on census day, their de facto residence, may not be
the best place to count them
.
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