** Vitali Sevastyanov

** 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.

** Stone's representation theorem for Boolean algebras needs the Boolean prime ideal theorem.

** The Nielsen – Schreier theorem, that every subgroup of a free group is free.

** The Hahn – Banach theorem in functional analysis, allowing the extension of linear functionals

** The theorem that every Hilbert space has an orthonormal basis.

** The Banach – Alaoglu theorem about compactness of sets of functionals.

** 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.

** The numbers and are not algebraic numbers ( see the Lindemann – Weierstrass theorem ); hence they are transcendental.

** 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.

** 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.

** For every non-empty set S there is a binary operation defined on S that makes it a group.

** See also Salmond on " Citizenship and Allegiance ," in the Law Quarterly Review ( July 1901, January 1902 ).

** This is, on the whole, an informed and good account of the life and accomplishments of one of the greatest influences on the development of thought both Eastern and Western.

** 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 ).

** Earliest day on which Caribana celebration can fall, celebrated on the first Weekend of August.

** Earliest day on which Emancipation Day can fall, celebrated on the first Monday of August.

** Lughnasadh, traditionally begins on the eve of August 1.

** Cadius Rufus was executed on the charge of extortion.

** Various articles on Alcidamas ( 1856 – 1919, with links to further online material )

** Gordon-Reed, Annette speaking on CSPAN Booktv Andrew Johnson

** Khmer New Year, or Chol Chnam Thmey, most commonly celebrated on April 13 ( Cambodia )

** To use a long dash on Wikipedia, type in "".

** called a god on Malta ( 28: 6 )

** Ability to run on an IA-64 architecture processor, although this never went beyond beta

** Minimum level required for POWER4 hardware and the last release that worked on the Micro Channel architecture

** Ability to run in a Logical Partition on POWER4

** Ability to run on 64-bit architecture CPUs

** Run on RS / 6000 systems with PowerPC processors and PCI busses.

** Optional POKEY sound chip on cartridge for improved sounds.

** Headphone port ( stereo ; wired for mono on the original Lynx )