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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.

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## Some Related Sentences

Every and non-negative

__Every__bounded positive-definite measure μ on G satisfies μ ( 1 ) ≥ 0

**.**improved this criterion

**by**showing that it

**is**sufficient to ask that

**,**for every continuous positive-definite compactly supported function f on G

**,**

**the**function Δ < sup >– ½ </ sup > f

**has**

__non-negative__integral with respect to Haar measure

**,**

**where**Δ denotes

**the**modular function

**.**

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__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**.**0.280 seconds.