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Every real number has an additive inverse ( i. e. an inverse with respect to addition ) given by.

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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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