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** Borel sets are better-behaved than arbitrary sets of real numbers.
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** and Borel
** Every infinite game in which is a Borel subset of Baire space is determined.
** Armand Borel, Swiss mathematician ( d. 2003 )
** Borel measure, the measure on a Borel algebra
** and sets
** 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.
** Any union of countably many countable sets is itself countable.
** The Vitali theorem on the existence of non-measurable sets which states that there is a subset of the real numbers that is not Lebesgue measurable.
** The Lebesgue measure of a countable disjoint union of measurable sets is equal to the sum of the measures of the individual sets.
** The Banach – Alaoglu theorem about compactness of sets of functionals.
** In particular, the cofinality of any nonzero finite ordinal, or indeed any finite directed set, is 1, since such sets have a greatest element.
** Mine Exploder T1E1 Roller ( Earthworm ): Three sets of 6 discs made from armor plate.
** Fisher – Yates shuffle, also known as the Knuth Shuffle, an algorithm for randomly permuting sets
** Support for supplementary Unicode character sets utf16, utf32, and utf8mb4.
** the Cartesian product of sets,
** In many languages ( e. g., Czech, English, French, Interlingua, and Russian ), the sets of relative and interrogative pronouns are nearly identical.
** Parity bit in computing, sets the parity of transmitted data for the purpose of error detection
** Part 13: Public entity sets for mathematics and science
** Andy Green sets the first supersonic land speed record for the ThrustSSC team, led by Richard Noble of the UK.
** Henry Ford sets a new automobile land speed record of 91. 37 mph.
** Belgian Eddy Merckx sets a new world hour record in cycling in Mexico City.
** The first domestic radio sets come to stores in the United States ; a Westinghouse radio costs $ 10.
** The Human Be-In takes place in Golden Gate Park, San Francisco ; the event sets the stage for the Summer of Love.
** Quaker Norman Morrison, 32, sets himself on fire in front of The Pentagon.
** Vietnam War: In New York City, 22-year-old Catholic Worker Movement member Roger Allen LaPorte sets himself on fire in front of the United Nations building in protest of the war.
** Peter the Great sets out to travel in Europe officially incognito as " Artilleryman Pjotr Mikhailov ".
** Papillons ( Butterflies )— music by Robert Schumann ( arranged by Nicolai Tcherepnin ), choreography by Michel Fokine, sets by Mstislav Dobuzhinsky, and costumes by Leon Bakst.
** and are
** The additive groups of R and C are isomorphic.
** The numbers and are algebraic since they are roots of polynomials and, respectively.
** The numbers and are not algebraic numbers ( see the Lindemann – Weierstrass theorem ); hence they are transcendental.
** In topology, morphisms between topological spaces are called continuous maps, and an automorphism of a topological space is a homeomorphism of the space to itself, or self-homeomorphism ( see homeomorphism group ).
** Congenital adrenal hyperplasias are genetic defects of enzymes involved in cortisol production and can affect sex characteristics of affected patients.
** Through initiatory experiences whereby the reality of Christ's death and resurrection are experienced ; Steiner believed this is the path people will increasingly take.
** howitzers: capable of high angle fire, they are most often employed for indirect-fire.
** Speed: 1. 79 MHz, drops to 1. 19 MHz when the TIA Television Interface Adaptor or RIOT ( 6532 RAM-I / O-Timer ) chips are accessed
** Nine of his centuries are double centuries ( surpassed only by Donald Bradman )
** Two of them are triple-centuries ( matched by Australia's Donald Bradman, India's Virender Sehwag, and West Indies ' Chris Gayle ).
** β-Lactams containing thiazolidine rings are named penams.
** β-Lactams containing pyrrolidine rings are named carbapenams.
** β-Lactams fused to oxazolidine rings are named oxapenams or clavams.
** β-Lactams containing 2, 3-dihydrothiazole rings are named penems.
** β-Lactams containing 2, 3-dihydro-1H-pyrrole rings are named carbapenems.
** β-Lactams containing 3, 6-dihydro-2H-1, 3-thiazine rings are named cephems.
** β-Lactams containing 1, 2, 3, 4-tetrahydropyridine rings are named carbacephems.
** β-Lactams containing 3, 6-dihydro-2H-1, 3-oxazine rings are named oxacephems.
** A more apocalyptic passage comparing the locusts to an army, and revealing that they are God ’ s army.
** The Nintendo DS and the Nintendo DS Lite are backward compatible with all Game Boy Advance games.
** Initial PlayStation 3 models are backward compatible with most PlayStation and PlayStation 2 games.
** Between Basel SBB and Basel Badischer Bahnhof – Basel Badischer Bahnhof, and all other railway property and stations on the right bank of the Rhine belong to DB and are classed as German customs territory.
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