[permalink] [id link]
Some Related Sentences
Every and uniformly
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 entire
function can be represented as a power series that converges
uniformly on compact sets
.
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 Lipschitz
continuous map
is uniformly continuous, and hence a fortiori
continuous.
Every special
uniformly continuous real-valued
function defined on the
metric space
is uniformly approximable by means of Lipschitz functions
.
Every experiment in such a free-falling environment has the same results as it would for an observer at rest or moving
uniformly in deep space, far from all sources of gravity
.

*
Every uniformly convergent sequence of bounded functions
is uniformly bounded
.
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
.

* Pseudocompact:
Every real-valued
continuous function on the space
is bounded
.
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 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 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 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 between
Every morning early, in the summer, we searched the trunks of the trees as high as we could reach for the locust shells, carefully detached their hooked claws from the bark where they hung, and stabled them, a weird faery herd, in an angle
between the high roots of the tulip tree, where no grass grew in the dense shade
.
Every year both clubs play the " Klassieker " (" The Classic "), a derby match
between the teams from the two largest cities of the Netherlands
.

Disraeli wrote a personal letter to Gladstone, asking him to place the good of the party above personal animosity: "
Every man performs his office, and there
is a Power, greater than ourselves, that disposes of all this ..." In responding to Disraeli Gladstone denied that personal feelings played any role in his decision then and previously to accept office, while acknowledging that there were differences
between him and Derby " broader than you may have supposed
.
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 six months the presidency rotates
between the states, in an order predefined by the Council's members, allowing each state to preside over the body
.

During the Renaissance, there arose a critical attitude that sharply distinguished
between apostolic tradition and what George
Every calls " subsidiary mythology "— popular legends surrounding saints, relics, the cross, etc .— suppressing the latter
.

George
Every discusses the connection
between the cosmic center and Golgotha in his book Christian Mythology, noting that the image of Adam's skull beneath the cross appears in many medieval representations of the crucifixion
.
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 node has a location, which
is a number
between 0 and 1
.
Every Mac made
between 1986 and 1998 has a SCSI port on the back, making external expansion easy ; also, " toaster " Compact Macs did not have easily accessible hard drive bays ( or, in the case of the Mac Plus, any hard drive bay at all ), so on those models, external SCSI disks were the only reasonable option
.
Every two months IMU publishes an electronic newsletter, IMU-Net, that aims to improve communication
between IMU and the worldwide mathematical community by reporting on decisions and recommendations of the Union, major international mathematical events and developments, and on other topics of general mathematical interest
.

British playwright Tom Stoppard wrote
Every Good Boy Deserves Favour about the relationship
between a patient and his doctor in one of these hospitals
.
Every citation he found described an encounter
between males where one party, the master, physically abused another, the slave
.

*
Every Lie group
is parallelizable, and hence an orientable manifold ( there
is a bundle isomorphism
between its tangent bundle and the product of itself with the tangent space at the identity )
Every homomorphism f: G → H of Lie groups induces a homomorphism
between the corresponding Lie algebras and
.
Every LORAN chain in the world uses a unique Group Repetition Interval, the number of which, when multiplied by ten, gives how many microseconds pass
between pulses from a given station in the chain
.

*
Every episode of James Joyce's modernist novel Ulysses ( 1922 ) has an assigned theme, technique and correspondences
between its characters and those of Homer's Odyssey
.
Every quark in the universe does not attract every other quark in the above distance independent manner, since colour-confinement implies that the strong force acts without distance-diminishment only
between pairs of single quarks, and that in collections of bound quarks ( i
. e., hadrons ), the net colour-charge of the quarks cancels out, as seen from far away
.
Every smooth ( or differentiable ) map φ: M → N
between smooth ( or differentiable ) manifolds induces natural linear maps
between the corresponding tangent
spaces:

They draw three conclusions from Austin: ( 1 ) A performative utterance does not communicate information about an act second-hand — it
is the act ; ( 2 )
Every aspect of language (" semantics, syntactics, or even phonematics ") functionally interacts with pragmatics ; ( 3 ) There
is no distinction
between language and speech
.
Every year the mayor and the 24 échevins would swear an oath of allegiance "
between the hands " of the king or his representative, usually the lieutenant général or the sénéchaussée
.
Every car uses either a 5
. 0 L Ford " Boss 302 " SVO or a 5
. 0 L Chevrolet small block race-engine ( depending on the make )-capable of producing
between 460 and 485 kW ( 620 — 650 bhp ) of power, but generally quoted as a little over 450 kW ( 600 bhp ) in race trim
.
Every morphism in a concrete category whose underlying
function is injective
is a monomorphism ; in other words, if morphisms are actually functions
between sets, then any morphism which
is a one-to-one
function will necessarily be a monomorphism in the categorical sense
.
0.274 seconds.