für die resultierende mittlere Geschwindigkeit eines Teilchens nach einem Stoß: t>red = v c p . Aus den Gesetzen des elastischen Stoßes für Kugeln der Massen m0, mx ergibt sich für die Geschwindigkeit von 77i0 nach dem Stoß mit ß = ( (m x m0 ) / (m, + m 0 ) ) 2, e=(l/ß-l) (d/R0)2 : v=v0(ßey*(( 1 + 1/fi) — cos2 ft)1'*; (A.6) cos #m i n = (1 (R0/d)2 (ß (vmJv 0)2)/ (ß-1) cos # m a x = (1 (R0/d)2)1...

The three beta-carotene intervention trials: the Beta Carotene and Retinol Efficacy Trial (CARET), Alpha-Tocopherol, Beta-Carotene Cancer Prevention Study (ATBC), and Physician's Health Study (PHS) have all pointed to a lack of effect of synthetic beta-carotene in decreasing cardiovascular disease or cancer risk in well-nourished populations. The potential contribution of beta-carotene suppleme...

Due to the asymmetry introduced by the hypothesis (2), the above theorem leaves open the case where ß >ct. Actually, the entire theorem as it stands holds without hypothesis (3). This results from the fact that Erdös' proof of the theorem given in [l ] uses only the condition a>ß/2. In the contrary case, 2a=/3, if we let ai be any fixed integer of A, the set {ö+cti}, b^B, has asymptotic density...

BACKGROUND ß-Adrenergic receptor antagonists (beta-blockers) are frequently used with the aim of reducing perioperative myocardial ischemia and infarction. However, randomized clinical trials specifically designed to evaluate the effects of beta-blockers on mortality in patients undergoing non-cardiac surgery have yielded conflicting results. OBJECTIVE This study aimed to examine the effect o...

The theorem about primitive divisors in algebraic number fields is generalized in the following manner. Let A, B be algebraic integers, (A, B) = 1 , AB ^ 0, A/B not a root of unity, and Çk a primitive root of unity of order k . For all sufficiently large n , the number A" C,kB" has a prime ideal factor that does not divide Am £,'kBm for arbitrary m < n and j < k . The analogue of Zsigmondy's th...

The composition of carotenoids, along with anthocyanins and chlorophyll, accounts for the distinctive range of colour found in the Actinidia (kiwifruit) species. Lutein and beta-carotene are the most abundant carotenoids found during fruit development, with beta-carotene concentration increasing rapidly during fruit maturation and ripening. In addition, the accumulation of beta-carotene and lut...

Lutein, a dihydroxy derivative of alpha-carotene (beta,epsilon-carotene), is the most abundant carotenoid in photosynthetic plant tissues where it plays important roles in light-harvesting complex-II structure and function. The synthesis of lutein from lycopene requires at least four distinct enzymatic reactions: beta- and epsilon-ring cyclizations and hydroxylation of each ring at the C-3 posi...

Segmental mandibulectomy leads to a great deÞ cit in the form and function of the patient. Vascularised bone ß aps have become the choice of the method of reconstruction of the mandible in an oncologic setting. Fibula osseous or oseteocutaneous ß aps have become the favored method in centers across the world. This article reviews certain pertinent and practical points with regards to Þ bula ß a...

Because animals are not able to synthesize retinoids de novo, ultimately they must derive them from dietary provitamin A carotenoids through a process known as carotene cleavage. The enzyme responsible for catalyzing carotene cleavage ( -carotene 15,15 -dioxygenase) has been characterized primarily in rat intestinal scrapings. Using a recently reported cDNA sequence for a carotene cleavage enzy...

β-Carotene is the precursor of vitamin A, and also exhibits multiple pharmaceutical functions by itself. In comparison to chemical synthesis, the production of β-carotene in microbes by metabolic engineering strategy is relatively inexpensive. Identifying genes enhancing β-carotene production in microbes is important for engineering a strain of producing higher yields of β-carotene. Most of pre...