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Every real number has a ( possibly infinite ) decimal representation ; i. e., it can be written as

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## Some Related Sentences

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__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,

**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__nonzero

__real__

**number**

**has**

**a**multiplicative inverse

**(**

**i**

**.**

**e**

**.**an inverse with respect to multiplication

**)**given by

**(**or ).

__Every__sedenion is

**a**

__real__linear combination of the unit sedenions 1, < var >

**e**</ var >< sub > 1 </ sub >, < var >

**e**</ var >< sub > 2 </ sub >, < var >

**e**</ var >< sub > 3 </ sub >, ..., and < var >

**e**</ var >< sub > 15 </ sub >,

__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__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 number

The album's lead single, " She's

__Every__Woman " peaked at number-one on the Billboard Country Chart, however its follow-up single, " The Fever "**(****a**cover of an Aerosmith song**)**only peaked at__number__23, becoming Brooks's first released Country single to not chart on the Top 10**.**__Every__year the International Labour Conference's Committee on the Application of Standards examines

**a**

__number__of alleged breaches of international labour standards

**.**

__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__vector space

**has**

**a**basis, and all bases of

**a**vector space have the same

__number__of elements, called the dimension of the vector space

**.**

The second single from the UK release was " With

__Every__Heartbeat ", released in late July and reached__number__one on the UK singles chart**.**
#

__Every__simple path from**a**given node to any of its descendant leaves contains the same__number__of black nodes**.**__Every__

__number__is thought of

**as**

**a**

**decimal**fraction with the initial

**decimal**point omitted, which determines the filing order

**.**

__Every__well-ordered set is uniquely order isomorphic to

**a**unique ordinal

__number__, called the order type of the well-ordered set

**.**

__Every__twin prime pair except

**(**3, 5

**)**is of the form

**(**6n − 1, 6n + 1

**)**for some natural

__number__n, and with the exception of < var > n </ var > = 1, < var > n </ var > must end in 0, 2, 3, 5, 7, or 8

**.**

__Every__third odd

__number__is divisible by 3, which requires that no three successive odd numbers

**can**

**be**prime unless one of them is 3

**.**

* Hardy and Littlewood listed

**as**their Conjecture I: "__Every__large odd__number__**(**n > 5**)**is the sum of**a**prime and the double of**a**prime**.**

Every and has

__Every__woman

__has__had the experience of saying no when she meant yes, and saying yes when she meant no

**.**

__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__family of Riviera Presbyterian Church

__has__been asked to read the Bible and pray together daily during National Christian Family Week and to undertake one project in which all members of the family participate

**.**

__Every__community, if

**it**is alive

__has__

**a**spirit, and that spirit is the center of its unity and identity

**.**

__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

**.**

** Zorn's lemma:

__Every__non-empty partially ordered set in which every chain**(****i****.****e****.**totally ordered subset**)**__has__an upper bound contains at least one maximal element**.**
The restricted principle "

__Every__partially ordered set__has__**a**maximal totally ordered subset " is also equivalent to AC over ZF**.**
** Tukey's lemma:

__Every__non-empty collection of finite character__has__**a**maximal element with respect to inclusion**.**
*

__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__unit of length

__has__

**a**corresponding unit of area, namely the area of

**a**square with the given side length

**.**

__Every__field

__has__an algebraic extension which is algebraically closed

**(**called its algebraic closure ), but proving this in general requires some form of the axiom of choice

**.**

__Every__ATM cell

__has__an 8-or 12-bit Virtual Path Identifier

**(**VPI

**)**and 16-bit Virtual Channel Identifier

**(**VCI

**)**pair defined in its header

**.**

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