This note collects several results on the capability of p-groups of class two and prime exponent. Among our results, we settle the 4-generator case for this class. Introduction. In this note we collect sundry results related to the capability of finite p-groups of class two and prime exponent, using the approach introduced in [6]. We restrict to odd primes, since the case of abelian groups is w...

We treat the interpolation problem {f(xj)=yj}j=1N for polynomial and rational functions. Developing approach originated by C. Jacobi, we represent interpolants virtue of Hankel polynomials generated sequences special symmetric functions data set like {?j=1Nxjkyj/W?(xj)}k?N {?j=1Nxjk/(yjW?(xj))}k?N; here, W(x)=?j=1N(x?xj). also review results Joachimsthal, Kronecker Frobenius on recursive proced...

familiarity with the normal and abnormal anatomy of the root canal system is essential for successful root canal treatment. the possibility of concomitant three-rooted and three- canalled maxillary and mandibular premolars are extremely rare. the purpose of this paper was to report a case with a three-rooted maxillary first premolar and two three-rooted mandibular premolars.

background: tuberculosis (tb) spread pattern is influenced by geographic and social factors. nowadays geographic information system (gis) is one of the most important epidemiological instrumentation identifying high-risk population groups and geographic areas of tb. the aim of this study was to determine the correlation between climate and geographic distribution of tb in khuzestan province usi...