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Page "1953 Pulitzer Prize" ¶ 2
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** and N
** If the set A is infinite, then there exists an injection from the natural numbers N to A ( see Dedekind infinite ).
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** Prince N. Tarkovsky was Dictator of the Mountainous Republic of the Northern Caucasus,
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** Including land currently disputed with Russia: ), Iturup – 45 ° 33 ' N, 148 ° 45 ' E
** In genomics, as a measure of evolution at the protein level ( also denoted as d < sub > N </ sub >/ d < sub > S </ sub > or K < sub > a </ sub >/ K < sub > s </ sub > ratio ).
** nitrous oxide ( N < sub > 2 </ sub > O ; " NOS ", " Laughing Gas ", " Whippets ", " Balloons ")
** " T. N. T.
** TNT Express, demerged from TNT N. V. in 2011 ; purchased by UPS in 2012
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** Three high school friends in Hoboken, N. J., open the first BLIMPIE on Washington Street.
** ( N. S.
** ( N. S.
** A. N. Sherwin-White, English historian of Ancient Rome ( b. 1911 )
** France prohibits U. N. involvement in Algeria.
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** Victor N ' Gembo-Mouanda, Congolese author
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** H. N.
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** and .
** Eunectes murinus, the green anaconda, the largest species, is found east of the Andes in Colombia, Venezuela, the Guianas, Ecuador, Peru, Bolivia, Brazil and on the island of Trinidad.
** Eunectes notaeus, the yellow anaconda, a smaller species, is found in eastern Bolivia, southern Brazil, Paraguay and northeastern Argentina.
** Eunectes deschauenseei, the dark-spotted anaconda, is a rare species found in northeastern Brazil and coastal French Guiana.
** Eunectes beniensis, the Bolivian anaconda, the most recently defined species, is found in the Departments of Beni and Pando in Bolivia.
** Well-ordering theorem: Every set can be well-ordered.
** Tarski's theorem: For every infinite set A, there is a bijective map between the sets A and A × A.
** Trichotomy: If two sets are given, then either they have the same cardinality, or one has a smaller cardinality than the other.
** The Cartesian product of any family of nonempty sets is nonempty.
** König's theorem: Colloquially, the sum of a sequence of cardinals is strictly less than the product of a sequence of larger cardinals.
** Every surjective function has a right inverse.
** Zorn's lemma: Every non-empty partially ordered set in which every chain ( i. e. totally ordered subset ) has an upper bound contains at least one maximal element.
** Hausdorff maximal principle: In any partially ordered set, every totally ordered subset is contained in a maximal totally ordered subset.
** Tukey's lemma: Every non-empty collection of finite character has a maximal element with respect to inclusion.
** Antichain principle: Every partially ordered set has a maximal antichain.
** Every vector space has a basis.
** Every unital ring other than the trivial ring contains a maximal ideal.
** For every non-empty set S there is a binary operation defined on S that makes it a group.
** The closed unit ball of the dual of a normed vector space over the reals has an extreme point.
** Tychonoff's theorem stating that every product of compact topological spaces is compact.
** In the product topology, the closure of a product of subsets is equal to the product of the closures.
** If S is a set of sentences of first-order logic and B is a consistent subset of S, then B is included in a set that is maximal among consistent subsets of S. The special case where S is the set of all first-order sentences in a given signature is weaker, equivalent to the Boolean prime ideal theorem ; see the section " Weaker forms " below.
** Any union of countably many countable sets is itself countable.

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