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** As corollary, every compact 3-manifold has a Heegaard splitting.
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** and corollary
** As a corollary, the function would be single-valued, else multiple probabilities occur at the same position and time, again unphysical.
** and every
** Tarski's theorem: For every infinite set A, there is a bijective map between the sets A and A × A.
** 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.
** Gödel's completeness theorem for first-order logic: every consistent set of first-order sentences has a completion.
** The microcode can employ both pipelines to enable auto-repeating instructions such as rep movsw perform one iteration every clock cycle, while the 80486 needed three clocks per iteration ( and the earliest x86-chips significantly more than the 486 ).
** United Kingdom Census held, the first to record names and approximate ages of every household member and to be administered nationally.
** Circuit analysis, the process of finding the voltages across, and the currents through, every component in an electrical circuit
** Unique factorization domain, an integral domain in which every non-zero element can be written as a product of irreducible elements in essentially a unique way
** Atomic domain, an integral domain in which every non-zero non-unit is a finite product of irreducible elements
** Dedekind domain, an integral domain in which every nonzero proper ideal factors into a product of prime ideals
** GCD domain, an integral domain in which every two non-zero elements have a greatest common divisor
** and compact
** Conductive polymer materials ( printing inks, pastes and emulsions ) for the production of transparent electrodes used in compact electronic devices ( Orgacon brand ).
** Cygnus X-3, a binary system located within the constellation Cygnus, containing a compact object which is a strange star candidate
** Conformance class 1 is always used enforce the so-called internal mapping, which is more compact.
** Rick Marotta Signature-The original series of compact portable drum kits which comes in either a Cherry Wood lacquer finish and a White Marine Pearl wrap finish.
** First introduced in 2000, the Light Fire Attack Vehicle ( LFAV ), or better known as the Red Rhino, was specially designed to be more compact than a traditional fire engine, allowing it to be more agile and able to be deployed closer to the heart of any fire or rescue incident.
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