Let p be an odd prime number and let K be an imaginary quadratic number field whose class number is not divisible by p. For a set S of primes of K whose norm is congruent to 1 modulo p, we introduce the notion of strict circularity. We show that if S is strictly circular, then the group G(KS(p)/K) is of cohomological dimension 2 and give some explicit examples.

This paper presents an analytical model based on mean value analysis (MVA) technique for a probabilistic re-entrant line. The objective is to develop a solution method to determine the total cycle time of a Reflow Screening (RS) operation in a semiconductor assembly plant. The uniqueness of this operation is that it has to be borrowed from another department in order to perform the production s...

In Underwater Sensor Networks (UWSNs), sensor nodes have limited energy resource and consume a lot of power during message transmission. Since expensive transmitting power consumption is an inevitable feature of underwater acoustic transmission, to extend network operation time, it is desirable for nodes to avoid energy wastage resulting from transmission collisions. Enabling nodes to use multi...

We consider the problem of determining the minimal time for which an energy supply source should operate in order to supply a system with a desired amount of energy in finite time.

patients and methods fifty nine patients with indication for carpal tunnel release randomly assigned into two groups: open (n=30) or knifelight (n=29). the patients compared regarding scar length, operation duration, time to return to daily activities and amount of pain at three weeks after operation based on visual analog scale. results there was no significant differences regarding age and se...

We consider exponential sums with x-coordinates of points qG and q−1G where G is a point of order T on an elliptic curve modulo a prime p and q runs through all primes up to N (with gcd(q, T )= 1 in the case of the points q−1G). We obtain a new bound on exponential sums with q−1G and correct an imprecision in the work of W. D. Banks, J. B. Friedlander, M. Z. Garaev and I. E. Shparlinski on expo...

Let m = pl be a product of two distinct primes p and l. We show that for almost all exponents e with gcd(e, φ(m)) = 1 the RSA pairs (x, xe) are uniformly distributed modulo m when x runs through • the group of units Zm modulo m (that is, as in the classical RSA scheme); • the set of k-products x = ai1 · · · aik , 1 ≤ i1 < · · · < ik ≤ n, where a1, · · · , an ∈ Zm are selected at random (that is...

Total service solutions may reduce 30-40% of the total product lifecycle cost for a customer. The installed base of capital goods frequently exceeds the annual flow of new products by 10 to 100 times which indicates that total service solutions, also late in long lifecycles have a huge potential for providers, customers and society. The paper identifies 23 possible challenges when a provider of...