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** The Nielsen – Schreier theorem, that every subgroup of a free group is free.
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** and Nielsen
** Leslie Nielsen, Canadian actor ( d. 2010 )
** Asta Nielsen, Danish silent film actress ( b. 1881 )
** XYY information booklet by Dr. Nielsen, a psychiatrist and geneticist who led the longest running of 7 international newborn screening studies of sex chromosome abnormalities.
** Ludolf Nielsen, composer ( died 1939 )
** won by the team of John Nielsen / Price Cobb / Martin Brundle driving a Jaguar XJR-12.
** Nielsen box for tracking television station watching
** Nielsen Media Research, the company that creates the Nielsen Ratings
** Nielsen Broadcast Data Systems, a service also known as BDS that tracks monitored radio, television and internet airplay of songs
** Nielsen Media Film Group – Official site ( Index page ) of host of ShoWest, ShoEast, and related film expositions ( conventions and trade shows )
** ShoWest – Official site published by Nielsen Media Film Group ( a division of Nielsen Business Media )
** Kehnet Nielsen
** Nielsen ratings, United States
** Erik Nielsen Whitehorse International Airport, YXY, 199, 594
** Triple X information booklet by Dr. Nielsen, a psychiatrist and geneticist who led the longest running of 8 international newborn screening studies of sex chromosome abnormalities.
** ICv2. com report that V for Vendetta is number one in Nielsen BookScan's list, ranked by sales, of graphic novels sold through book stores.
** and –
** Atlas III was a US launch vehicle ( 2000 – 2005 )
** Atlas V ( 2002 – Present )
** Atlas Major, a Standard Motor Company van 1962 – 1963
** The Banach – Tarski paradox.
** The Hahn – Banach theorem in functional analysis, allowing the extension of linear functionals
** The Banach – Alaoglu theorem about compactness of sets of functionals.
** Every Tychonoff space has a Stone – Čech compactification.
** 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 ).
** The numbers and are not algebraic numbers ( see the Lindemann – Weierstrass theorem ); hence they are transcendental.
** Laozi ( 5th – 4th century BC )
** Ge Hong ( 283 AD – 343 AD )
** Xun Zi ( c. 312 BC – 230 BC )
** Gongsun Long ( c. 325 BC – c. 250 BC )
** Zou Yan ( 305 BC – 240 BC )
** Mani ( c. 216 AD – 276 AD )
** Haliotis brazieri f. hargravesi ( Cox, 1869 ) – synonym: Haliotis ethologus, the Mimic abalone, Haliotis hargravesi, the Hargraves ’ s abalone
** Haliotis dalli roberti McLean, 1970 – synonym: Haliotis roberti
** Haliotis diversicolor squamata Reeve, 1846 – synonym: Haliotis squamata – the scaly Australian abalone
** Haliotis diversicolor supertexta – the Taiwan abalone or jiukong
** Haliotis kamtschatkana assimilis Dall, 1878 – synonym: Haliotis assimilis, the threaded abalone
** Haliotis ovina f. patamakanthini Dekker, Regter, & Gras, 2001 – synonym: Haliotis patamakanthini
** Haliotis rubra conicopora Péron, 1816 – synonym: Haliotis conicopora – the conical pore abalone
** and Schreier
** Peter Schreier
** Hermann Prey ; Edda Moser ; Peter Schreier ; Philharmonia Hungarica / János Kulka
** and theorem
** 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.
** König's theorem: Colloquially, the sum of a sequence of cardinals is strictly less than the product of a sequence of larger cardinals.
** Tychonoff's theorem stating that every product of compact topological spaces is compact.
** 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.
** 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.
** Stone's representation theorem for Boolean algebras needs the Boolean prime ideal theorem.
** The theorem that every Hilbert space has an orthonormal basis.
** The Baire category theorem about complete metric spaces, and its consequences, such as the open mapping theorem and the closed graph theorem.
** Gödel's completeness theorem for first-order logic: every consistent set of first-order sentences has a completion.
** Hilbert's basis theorem
** Bayes ' theorem
** More generally, Rademacher's theorem extends the differentiability result to Lipschitz mappings between Euclidean spaces: a Lipschitz map ƒ: U → R < sup > m </ sup >, where U is an open set in R < sup > n </ sup >, is almost everywhere differentiable.
** Lyapunov's central limit theorem
** Superposition theorem, in electronics
** " Kelvin's vorticity theorem for incompressible or barotropic flow ".
** Artin reciprocity law, a general theorem in number theory that provided a partial solution to Hilbert's ninth problem
** Various proofs of the four colour theorem.
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