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...

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...

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...

ß-Lactams are the most widely used antibiotics, and ß-lactamases are the greatest source of resistance to them. Colorimetric tests are good, rapid, indicators of ß-lactamase production and its contingent resistance in Haemophilus, Moraxella and Neisseria spp. They can also be applied to Gram-negative bacilli but are less useful, since the usual question is not whether a ß-lactamase is produced ...

Beta-carotene (ß-carotene) is one of many carotenoids found in nature. In the human nutrition field, evidence suggests that higher blood levels of ß-carotene as well as other carotenoids such as alpha-carotene, lycopene, lutein, zeaxanthin, and ß-cryptoxanthin may be associated with lower risk of several chronic diseases. ß-carotene, a-carotene, and ß-cryptoxanthin have pro-vitamin A activity, ...