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** If the set A is infinite, then there exists an injection from the natural numbers N to A ( see Dedekind infinite ).
** This is a distinguished work which stands out from, and above, many of the books and articles which have ben written in this century on Avicenna ( Ibn Sīnā ) ( A. D. 980 – 1037 ).
** In the category of Riemann surfaces, an automorphism is a bijective biholomorphic map ( also called a conformal map ), from a surface to itself.
** An automorphism of a differentiable manifold M is a diffeomorphism from M to itself.
** Translation of the Acheiropoietos icon from Edessa to Constantinople.
** Battle of Fano — Aurelian defeats the Alemanni, who begin to retreat from Italy
** Lao New Year, or Songkan / Pi Mai Lao, generally celebrated from 13 to 15 April ( Laos )
** Thai New Year, or Songkran, celebrated from 13 to 15 April ( Thailand )
** Carefree means " free from care or anxiety.
** Carefree means ' free from care or anxiety '.
** Appendix of the laryngeal ventricle, a sac that extends from the laryngeal ventricle
** anti-aircraft artillery: weapons, usually mobile, designed for attacking aircraft from the ground.
** American Akita, a breed of dog possibly distinct from, but a derivative of, the Akita Inu
** Big Dipper ( Luna Park Sydney ), a wooden roller coaster operating at Luna Park Sydney from 1935 until 1981
** Cyclone ( Dreamworld ), a steel roller coaster which operated as Big Dipper at Luna Park Sydney from 1995 to 2001
** Kingdom of Great Britain, a sovereign state from 1707 to 1801
** United Kingdom of Great Britain and Ireland, a sovereign state from 1801 to 1922 ( and between 1922 and 1927 in its superseded form )
** Roman Britain or Britannia, a Roman province covering most of modern England and Wales and some of southern Scotland from 43 to 410 AD
** Sub-Roman Britain, Britain from 410 AD to 597
** Britain in the Middle Ages, various parts of Britain from 410 AD to 1485
** Early Modern Britain, Britain from the Tudor period, from 1485 to 1707
** Ovadiah ( Judaica Press ) translation Rashi's commentary from Chabad. org
** Obadiah, from John Gill's Exposition of the Entire Bible.
** Obadiah, from the United Church of God, an International Association Bible Reading Program-This Hebrew scholar provides extensive background information as well as verse-by-verse exposition
** and Mercedes-Benz
** Mercedes-Benz
** Mercedes-Benz SLK-Class
** Mercedes-Benz CLC-Class
** Mercedes-Benz R171
** Mercedes-Benz C208
** Juan Fangio, the Argentine driver for German Grand Prix team Mercedes-Benz, makes a new fastest lap of the Silverstone Circuit with an average speed of 100. 35 mph, the previous record being 100. 16 mph.
** Mercedes-Benz
** Mercedes-Benz buses
** Mercedes-Benz ( vans group )
** Mercedes-Benz Bank
** Mercedes-Benz Financial
** Mercedes-Benz
** Mercedes-Benz ( including G-Wagens )
** Mercedes-Benz CLK GTR
** 1955 – 1963 Mercedes-Benz 190SL
** 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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