Every real number, whether integer, rational, or irrational, has a unique location on the line.

Every rational soul has naturally a good free-will, formed for the choice of what is good.

Every rational number has a unique representation as an irreducible fraction.

Every ordered field contains an ordered subfield that is isomorphic to the rational numbers.

Every real number, rational or not, is equated to one and only one cut of rationals.

* Every rational number has an essentially unique continued fraction representation.

* Every free abelian group is torsion-free, but the converse is not true, as is shown by the additive group of the rational numbers Q.

Every rational action must set before itself not only a principle, but also an end.

Every positive rational number can be represented by an Egyptian fraction.

Every polynomial function is a rational function with.

Every rational variety, including the projective spaces, is rationally connected, but the converse is false.

Every positive rational number can be expanded as an Egyptian fraction.

Every irreducible non-degenerate curve of degree is a rational normal curve.

Every non-singular rational surface can be obtained by repeatedly blowing up a minimal rational surface.

Every positive rational number q may be expressed as a continued fraction of the form

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

Every node has a location, which is a number between 0 and 1.

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 year from 1985 through 1993, the number of attendees tripled.

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.

Every ketose will have 2 < sup >( n-3 )</ sup > stereoisomers where n > 2 is the number of carbons.

Every aldose will have 2 < sup >( n-2 )</ sup > stereoisomers where n > 2 is the number of carbons.

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 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 positive number a has two square roots:, which is positive, and, which is negative.

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.

Every dual number has the form z = a + bε with a and b uniquely determined real numbers.

# Every noun belongs to a unique number class.

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

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

Every telephone company, whether large or small, determines its own ANAC for each individual central office, which tends to perpetuate the current situation of a mess of overlapping and / or spotty areas of coverage.

* 2011 – Every Mother Counts – " Present / Infant " ( Remix )

Every adult and wise woman without husband although reserves the right to accept concubinage for her employer / master without any coercion or force, but Islamic scholars have consensus that for sex relations options of Nikkah and Muta should be adopted instead of concubinage in this era.

Group actions / representations: Every group G can be considered as a category with a single object whose morphisms are the elements of G. A functor from G to Set is then nothing but a group action of G on a particular set, i. e. a G-set.

Every adult, healthy, sane Muslim who has the financial and physical capacity to travel to Mecca and can make arrangements for the care of his / her dependants during the trip, must perform the Hajj once in a lifetime.

Every S / 360 ( except for the Model 20, which was not a standard S / 360 ) had a byte-multiplexer channel and 1 or more selector channels.

Every simple R-module is isomorphic to a quotient R / m where m is a maximal right ideal of R. By the above paragraph, any quotient R / m is a simple module.

Every six months member countries exchange information on deliveries of conventional arms to non Wassenaar members that fall under eight broad weapons categories: battle tanks, armored combat vehicles ( ACVs ), large-caliber artillery, military aircraft / unmanned aerial vehicles, military and attack helicopters, warships, missiles or missile systems, and small arms and light weapons.

Every album, except 1969's The Chicago Transit Authority, 1978's Hot Streets and 1995's Night and Day: Big-Band, released by Chicago Transit Authority / Chicago has been the band name followed by a Roman numeral or numbered in some other manner.

Every Gundam has a unique name that befits the nature of the suit and / or its origins, such as the XXXG-01W Wing Gundam, XXXG-01D Gundam Deathscythe and the XXXG-01S Shenlong Gundam.

Every prime ideal P in a Boolean ring R is maximal: the quotient ring R / P is an integral domain and also a Boolean ring, so it is isomorphic to the field F < sub > 2 </ sub >, which shows the maximality of P. Since maximal ideals are always prime, prime ideals and maximal ideals coincide in Boolean rings.

; Every Day / A Heart Full Of Love ( Reprise ): Valjean arrives in the middle of a love scene between Cosette and Marius and decides not to stand in the way of their happiness.

Every few minutes, trains travel between Monza and Milano via the Suburban Railway ( Line S9 ) and via local trains that connect Monza to Lecco, Como / Chiasso ( CH ) and Bergamo / Brescia.

Every individual is responsible for the situation surrounding him / her.

Every qualifying Voyager 2 image with resolution better than ~ 50 km / pixel shows Pan clearly.

On November 7, 2006 he also produced Lumines II for PSP, the sequel to the popular original ( this time supplementing the original score with a heavy integration of music videos ), and a shooter / puzzle hybrid game called Every Extend Extra ( a heavily-modified ' synesthesia ' update to an existing PC freeware title, Every Extend ," by indie developer " Omega "), which was released on August 7, 2006.

Every year since 1982, the W. C. Handy Music Festival is held in the Florence / Sheffield / Muscle Shoals area, featuring blues, jazz, country, gospel, rock music and R & B.

Every year Clifton Park Soccer Club hosts an international tournament called the Rose and Kiernan / Clifton Park Soccer International Soccer Classic.

Every episode features a different topic, from a dance track to a love ballad, that requires the contestants to write and perform lyrics from a multiple of genres, for a cash prize of $ 100, 000, a publishing deal with songwriting collective The Writing Camp, and a recording deal with RCA / Jive label.