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Every nonzero real number has a multiplicative inverse ( i. e. an inverse with respect to multiplication ) given by ( or ).

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## Some Related Sentences

Every and nonzero

__Every__ordered field is

**a**formally

**real**field,

**i**

**.**

**e**., 0 cannot be written as

**a**sum of

__nonzero__squares

**.**

__Every__polynomial in can be factorized into polynomials that are irreducible over F

**.**This factorization is unique up

**to**permutation of the factors and the

**multiplication**of the factors

**by**

__nonzero__constants from F

**(**because the ring of polynomials over

**a**field is

**a**unique factorization domain whose units are the

__nonzero__constant polynomials

**).**

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__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__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**.**0.217 seconds.