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In this survey, we shall prove the Lucas–Lehmer primality test used to find the Mersenne primes. A proof of the Law of Cubic Reciprocity will also be presented, which will be applied in the proof of a generalisation of the Lucas–Lehmer primality test.

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During very long self-rating sessions there is a risk that respondents will be tired and/or lose interest. Is this a concern for users of long personality inventories, such that the reliability becomes threatened in the latter half when respondents have made hundreds of personality self-ratings? Two thousand three hundred and fifty two volunteers completed long (≈ 500 items) personality inventorie

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According to a widely held assumption, the main mechanism underlying motor learning in the cerebellum, such as eyeblink conditioning, is long-term depression (LTD) of parallel fibre to Purkinje cell synapses. Here we review some recent physiological evidence from Purkinje cell recordings during conditioning with implications for models of conditioning. We argue that these data pose four major chal

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γ-tubulin is an important cell division regulator that arranges microtubule assembly and mitotic spindle formation. Cytosolic γ-tubulin nucleates α- and β-tubulin in a growing microtubule by forming the ring-shaped protein complex γTuRC. Nuclear γ-tubulin also regulates S-phase progression by moderating the activities of E2Fs. The mechanism that regulates localization of γ-tubulin is currently unk

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Animal models of neurological deficits are essential for the assessment of new therapeutic options. It has been suggested that rats are not as appropriate as primates for the symptomatic modelling of disease, but a large body of data argues against this view. Comparative analyses of movements in rats and primates show homology of many motor patterns across species. Advances have been made in ident

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A macrophage migration inhibitory factor (MIF), originally described as a product of activated lymphocytes, has been defined as a 12 kDa protein, expressed in a wide variety of tissues. Here MIF is identified as a phenylpyruvate tautomerase (EC 5.3.2.1) having p-hydroxyphenylpyruvate and phenylpyruvate as its natural substrates. The definition of MIF as an enzyme may yield insight into the mechani

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Introduction: The timed 'Up & Go' (TUG) is a performance test identifying problems in functional mobility. More knowledge on how the type of chair used influences test results is needed. Objective: To investigate inter-rater agreement on the time score and to assess if chair type used influenced the performance of the test. Setting: (1) Inter-rater agreement investigation on the time score was

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The identity of the enzymes responsible for lipase and cholesterol esterase activities in the small intestinal mucosa is not known. Because hormone-sensitive lipase (HSL) catalyzes the hydrolysis of acylglycerols and cholesteryl esters, we sought to determine whether HSL could be involved. HSL mRNA and protein were detected in all segments of the small intestine by Northern and Western blot analys

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RATIONALE: Interferon-gamma (IFN-gamma) is of central interest in the study of tuberculosis. A number of single-gene mutations have been identified in the IFN-gamma signaling pathway that predispose to severe mycobacterial disease, but the relevance of polymorphism within these genes to the common phenotype of tuberculosis remains unclear. METHODS: A total of 1,301 individuals were included in a l

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The human kallikrein-related peptidase 4 (KLK4) and the transcribed pseudogene KLKP1 are reported to be highly expressed in the prostate. When trying to clone transcripts of KLKP1, we partly failed. Instead, we identified an androgen-regulated transcript, KLK4T2, which appeared to be a splice variant of KLK4 that also contained exons of KLKP1. Expression analysis of KLK4, KLK4T2, and KLKP1 transcr

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Context. The HR 1614 is an overdensity in velocity space and has for a long time been known as an old (2 Gyr) and metal-rich ([Fe=H] +0:2) nearby moving group that has a dissolving open cluster origin. The existence of such old and metal-rich groups in the solar vicinity is quite unexpected since the vast majority of nearby moving groups are known to be young. Aims. In the light of new and signifi

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Sml1 is a small ribonucleotide reductase (RNR) regulatory protein in Saccharomyces cerevisiae that binds to and inhibits RNR activation. NMR studies of 15N-labeled Sml1 (104 residues), as well as of a truncated variant (residues 50−104), have allowed characterization of their molecular properties. Sml1 belongs to the class of intrinsically disordered proteins with a high degree of dynamics and ver

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Sensors used for control have become widespread in water resources recovery facilities during the strive for resource efficient operations. However, their accuracy is reliant on uncertain laboratory measurements, which are used for calibration and, in turn, to correct for sensor drift. At the same time, current sensor calibration practices are lacking clear theoretical understanding of how measure