Every quark in the universe does not attract every other quark in the above distance independent manner, since colour-confinement implies that the strong force acts without distance-diminishment only between pairs of single quarks, and that in collections of bound quarks ( i. e., hadrons ), the net colour-charge of the quarks cancels out, as seen from far away.

Every suspected Royalist was closely watched, and the magazines of arms in the country-houses of the gentry were for the most part removed into the strong places.

Every strongly inaccessible cardinal is also weakly inaccessible, as every strong limit cardinal is also a weak limit cardinal.

As the Catholic Encyclopedia ( 1908 – 10 ) described his work " Every page of his writings reveals a wealth of strong common sense, clear perception, and a vein of wonderful and ever varying erudition.

Every Eulerian orientation of a connected graph is a strong orientation, an orientation that makes the resulting directed graph strongly connected.

Every strong limit cardinal is also a weak limit cardinal, because κ < sup >+</ sup > ≤ 2 < sup > κ </ sup > for every cardinal κ, where κ < sup >+</ sup > denotes the successor cardinal of κ.

Every time the free humans had grown strong enough to start threatening machine hegemony, The One would be born into the Matrix.

Every time one of these cuts would close in one place, another would open in another place ... Then came to him a Frankish physician and removed from the leg all the ointments which were on it and began to wash it with very strong vinegar.

Every elementary embedding is a strong homomorphism, and its image is an elementary substructure.

Every suspected Royalist was closely watched, and the magazines of arms in the country-houses of the gentry were for the most part removed into the strong places.

His own bon mots, such as " Every woman needs one man in her life who is strong and responsible.

Every record is supported with heavy touring to all of their strong markets and beyond as a headlining band.

* Every Fréchet space carries the Mackey topology and the topology coincides with the strong topology, that is

In New York, Ted Forstmann explained his goal for the scholarships, saying, " Every child, regardless of their parents ' income, should have access to a quality education – an education that will not only prepare them for successful private lives, but help them to build cohesive communities and a strong democracy.

Every year the boats are oiled mainly with fish oil, coconut shell, and carbon, mixed with eggs to keep the wood strong and the boat slippery in the water.

Every positive integer n > 1 can be represented in exactly one way as a product of prime powers:

Hilbert's example: " the assertion that either there are only finitely many prime numbers or there are infinitely many " ( quoted in Davis 2000: 97 ); and Brouwer's: " Every mathematical species is either finite or infinite.

Every completely multiplicative function is a homomorphism of monoids and is completely determined by its restriction to the prime numbers.

* In any ring R, a maximal ideal is an ideal M that is maximal in the set of all proper ideals of R, i. e. M is contained in exactly 2 ideals of R, namely M itself and the entire ring R. Every maximal ideal is in fact prime.

# Every prime ideal of A is principal.

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 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 closed 3-manifold has a prime decomposition: this means it is the connected sum of prime three-manifolds ( this decomposition is essentially unique except for a small problem in the case of non-orientable manifolds ).

: Every oriented prime closed 3-manifold can be cut along tori, so that the interior of each of the resulting manifolds has a geometric structure with finite volume.

Every non-zero characteristic is a prime number.

: Every Boolean algebra contains a prime ideal.

* Every number of the form 2 < sup > m </ sup > p for a natural number m and a prime number p such that p < 2 < sup > m + 1 </ sup > is also semiperfect.

Every group of prime order is cyclic, since Lagrange's theorem implies that the cyclic subgroup generated by

Iwasawa worked with so-called-extensions: infinite extensions of a number field with Galois group isomorphic to the additive group of p-adic integers for some prime p. Every closed subgroup of is of the form, so by Galois theory, a-extension is the same thing as a tower of fields such that.

Every imperfect field is necessarily transcendental over its prime subfield ( the minimal subfield ), because the latter is perfect.

A finitely-generated abelian group is indecomposable if and only if it is isomorphic to Z or to a factor group of the form for some prime number p and some positive integer n. Every finitely-generated abelian group is a direct sum of ( finitely many ) indecomposable abelian groups.

* Every non-split, prime, alternating link that is not a torus link is hyperbolic by a result of William Menasco.

** 2 ( 2012 ) ( Every hospital, airport and military base has Helipads.

Every base he closed resulted in a new construction project elsewhere to expand another base, relocation of forces projects and other related spending.

Every year a small garden at the base of the cross is lovingly tended by the small town's garden club.

For example, to study the theorem “ Every bounded sequence of real numbers has a supremum ” it is necessary to use a base system which can speak of real numbers and sequences of real numbers.

Every day until 3 August, these two brigades alternated riding out from their base at Romani towards Katia at about 02: 00 and bivouacking until dawn, at which time they advanced on a wide front until German or Ottoman fire was provoked.

Every ground ball hit to an infielder becomes a race between the batter-runner and the team in the field ; the fielder must catch the batted ball and throw it to first before the batter can reach the base.

Every year, a race is held, running from the base of the mountain to the peak and back.

Every year the club hosts a two week long ( three weekends ) camp at Bohemian Grove, which is notable for its illustrious guest list and its eclectic Cremation of Care ceremony which mockingly burns " Care " ( the normal woes of life ) with grand pageantry, pyrotechnics and brilliant costumes, all done at the edge of a lake and at the base of a forty-foot ' stone ' owl statue.

Every generation of the Bluebird has been available as a taxi, duties that are shared with base level Nissan Cedrics.

Every now and then there was a crisis that called for military action, and Lower Fort Garry was the obvious choice for a base of operations.

Every summer since 1988 ( usually in February ), this exercise in fitness and balance involves athletes running from the base of the street to the top and back down again.

Every trace of nobility, piety, education, reason is persecuted in the most hateful and base manner by a bunch of debased menials ".

Every Remembrance day the College holds a service to commemorate the pupils who died in the two wars, placing a wreath of poppies at the base of both the statue and the plaque.

Every previous expansion had at least one card reprinted in Eighth that had not been reprinted in the base set before, with a series of votes on the Wizards website deciding what got reprinted.

Every fielding position can be played by a right-handed thrower, although left-handers enjoy a slight advantage at first base.