Let G be a group given by the presentation 〈a1, . . . , ak , b1, . . . bk | ai = ui(b̄), bi = vi(ā) for 1 ≤ i ≤ k〉, where k ≥ 2 and where the ui ∈ F (b1, . . . , bk) and wi ∈ F (a1, . . . , ak) are random words. Generically such a group is a small cancellation group and it is clear that (a1, . . . , ak) and (b1, . . . , bk) are generating n-tuples for G. We prove for generic choices of u1, . . ....

The set G(B) of invertible elements of B is the main example of a regularity. As was proved in [4], the set of elements of B which are not topological zero divisors is also a regularity. In the present paper, we investigate a construction of joint spectra in B by means of regularities in B. Let σ(a)= {μ∈ C | a−μe ∈G(B)} be the ordinary spectrum in B. Recall that according to the terminology int...

To identify which polymorphic residues determine the allospecific antibody binding sites on A beta polypeptides, mutant Ak beta genes were constructed encoding single or multiple amino acids of the d allele at 14 polymorphic positions in the beta 1 domain. Cell lines expressing these genes were analyzed by quantitative immunofluorescence using 16 mAbs reactive to Ak beta or Ad beta. Substitutio...

Use of reliable density maps is crucial for rapid and successful crystal structure determination. Here, the averaged kick (AK) map approach is investigated, its application is generalized and it is compared with other map-calculation methods. AK maps are the sum of a series of kick maps, where each kick map is calculated from atomic coordinates modified by random shifts. As such, they are a num...

Actinic keratosis (AK) is considered as superficial squamous cell carcinoma. Chronic sun exposure plays a central role in its pathogenesis. In particular, ultraviolet B radiation causes direct damage to the DNA, producing pyrimidine dimers that suppress the protective role of p53. Other risk factors include advanced age, male sex, and fair skin type. Even some drugs used for treating blood hype...

PL-10.1.AK-15 is an active fragment of a naturally occurring protein first isolated from human gastric juice. Among its other protective effects, PL-10.1.AK-15 has demonstrated a protective effect on the gastrointestinal tract. The aim of this study was to investigate the influence of PL-10.1.AK-15 on two functional parameters of gastrointestinal function: gastric acid secretion and gastrointes...

We derive lower and upper bounds on possible growth rates of certain sets of positive integers Ak = {1 = a1 < a2 < . . . < ak} such that all integers n ∈ {0, 1, 2, . . . , kak} can be represented as a sum of no more than k elements of Ak, with repetition.

We give an elementary proof of a statement due to Brézis and Nirenberg: ∑∞ k=−∞ k|ak| is an integer whenever {ak}k=−∞ is a sequence of complex numbers such that ∑∞ k=−∞ akān+k = { 0 if n 6= 0, 1 if n = 0, for all integers n and ∑∞ k=−∞ |k| |ak| <∞.

The amygdaloid complex (AK) has a very important role in the modulation of endocrine and visceral functions, in complex behavioral mechanisms such as defence, feeding, aggression, affects, reproduction, memory and learning. The aim of this study was to determine the precise distribution of cannabinoid CB1 receptors in the rat AK, using the immunohistochemical (ABC) method. According to our resu...

Note that μ0 is simply normalized Lebesque measure on B. The k-th Bergman space, Ak, is defined as the space of analytic functions on B which are square integrable with respect to the measure μk. Note that Ak = H (μk), where H (μk) be the L2(μk) -closure of the ball algebra A, and that Aj c Ak for j < k. The standard orthonormal base for Ak is given by eka = c(a, k, n)z a = c{a, ky n)r^e i0Clθl...