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Page "Axiom of choice" ¶ 73
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Every and small
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.
Every country of Europe was invited, with the exceptions of Spain ( a World War II neutral that had sympathized with Axis powers ) and the small states of Andorra, San Marino, Monaco, and Liechtenstein.
Every solid-state device has a small voltage drop across it.
Every project manager should create a small core set of formal documents defining the project objectives, how they are to be achieved, who is going to achieve them, when they are going to be achieved, and how much they are going to cost.
Every small or large festival of this goddess is celebrated with, women making porridge in the temples and distributing it to the poor and needy.
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.
Pirate luminaries such as William Kidd, Henry Every, John Bowen, and Thomas Tew made Antongil Bay and Nosy Boraha ( St. Mary ’ s Island ) ( a small island 12 miles off the north-east coast of Madagascar ) their bases of operations.
Every car uses either a 5. 0 L Ford " Boss 302 " SVO or a 5. 0 L Chevrolet small block race-engine ( depending on the make )-capable of producing between 460 and 485 kW ( 620 — 650 bhp ) of power, but generally quoted as a little over 450 kW ( 600 bhp ) in race trim.
Every Gau ( administrative region of Germany ) was also expected to hold a small remembrance ceremony.
Every inhabitant is a small land-holder and cultivates sufficient rice and other necessaries for the support of their families.
Every year, a small number of graduates do this-usually 3 or 4, and usually in a one-for-one " trade " with a similarly inclined cadet at one of the other service academies.
Every year in April, Geneva holds a River Festival, which brings in hundreds of people from all over the country to the small town.
Every year a small garden at the base of the cross is lovingly tended by the small town's garden club.
Every adult citizen of this small settlement signed the small petition ; E. K Dyer and his wife, William Johnson, Joseph Otis and his wife, Hiram Walker and his wife, Joseph Pease and R. H. Valentine.
Every June this area is inundated with the Ronceverte River Festival, where a unique raffle is held by floating hundreds of small, numbered yellow ducks into the river.
Every known Sierpinski number k has a small covering set, a finite set of primes with at least one dividing k · 2 < sup > n </ sup >+ 1 for each n > 0.
Every six blocks, one finds a small park or square.
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 time a child separates just a tiny bit more, he'll have to cope with a small loss.
Every year from October to April he would spend in the small village Chapora, developing a significant crowd of supporters, or apprentices as some back in Finland would call them.
" Every autumn for the past ten years, an increasingly bad-tempered squabble has raged between, on the one hand, many of Britain's art critics and its popular media, and on the other, its avant-garde " establishment ," the small croterie of art historians, curators, and dealers who control the Turner prize.
Every householder has a small domestic cross with a diminutive huipil, (' woman's dress '), and a mirror around its neck.

Every and category
* Every continuous functor on a small-complete category which satisfies the appropriate solution set condition has a left-adjoint ( the Freyd adjoint functor theorem ).
* Duality: Every statement, theorem, or definition in category theory has a dual which is essentially obtained by " reversing all the arrows ".
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 adjunction 〈 F, G, ε, η 〉 gives rise to an associated monad 〈 T, η, μ 〉 in the category D. The functor
Every morphism in a concrete category whose underlying function is injective is a monomorphism ; in other words, if morphisms are actually functions between sets, then any morphism which is a one-to-one function will necessarily be a monomorphism in the categorical sense.
Every epimorphism in this algebraic sense is an epimorphism in the sense of category theory, but the converse is not true in all categories.
Every morphism in a concrete category whose underlying function is surjective is an epimorphism.
Every pre-abelian category is of course an additive category, and many basic properties of these categories are described under that subject.
Every person born into this world comes from one of these categories in order to help fulfill the kind of function that that category of people is supposed to fulfill in order to keep the community together.
* Every non-empty Baire space is of second category in itself, and every intersection of countably many dense open subsets of X is non-empty, but the converse of neither of these is true, as is shown by the topological disjoint sum of the rationals and the unit interval 1.
Every monoidal category is monoidally equivalent to a strict monoidal category.
Every group G can be viewed as a category with a single object ( morphisms in this category are just the elements of G ).
Every ring can be viewed as a preadditive category with a single object.
Every year a set of students are selected from each sports category for ' Inter IIT Sports Meet ', a set of sporting events occur in the winter at any one of the IIT's.
Every object in a Grothendieck category has an injective hull.
Every NNO is an initial object of the category of diagrams of the form
Every category has a host of untranslatable jokes that rely on linguistic puns, wordplay, and Russian's vocabulary of foul language.
Every U. S. and foreign charity that qualifies as tax-exempt under Section 501 ( c )( 3 ) of the Internal Revenue Code is considered a " private foundation " unless it demonstrates to the IRS that it falls into another category.
Every closed category has a forgetful functor to the category of sets, which in particular takes the internal hom to the external hom.
Every abelian category is an exact category if we just use the standard interpretation of " exact ".

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