Gruppen von Restklassen nach Restpolynomidealen in mehreren Unbestimmten

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Explicit construction of regular graphs without small cycles

For every integerd>2 we give an explicit construction of infinitely many Cayley graphsX of degreed withn(X) vertices and girth >0.4801...(logn(X))/log (d−1)−2. This improves a result of Margulis. Dedicated to Paul Erdős on his seventieth birthday     

Neutron activation and mass spectrometric measurement of129I

An integrated procedure has been developed for measurement of¹²⁹I by neutron activation analysis and mass spectrometry. An iodine isolation procedure previously used for neutron activation has been modified to provide separated iodine suitable for mass spectrometric measurement as well. Agreement between both methods has been achieved within error limits. The measurement limit by each method is about 10⁷ atoms /2 fg/ of¹²⁹I.Operated for the U.S. Department of Energy by Battelle Memorial Institute under contract DE-AC06-76RL0 1830.     

On The Cauchy Problem for The Equation u′ − Δu = u¦u¦γ−1 In The Supercritical Case

We prove global existence of classical solutions to the above problem, whenever the initial function is continuous and can be enclosed between a sub- and a supersolution of the corresponding stationary problem, where the latter are assumed to be smooth bounded functions lying in some L^p(?ⁿ) (Theorem 1). In addition we study the large-time behaviour of the solutions. As an example, it turns out from this that in case of the critical exponent γ = (n+2)/(n?2) the corresponding positive stationary solutions are unstable w.r.t. arbitrarily slight variations either from above or from below (Theorems 5 and 9).