�ber das 3 n + 1 Problem

On the nature of solutions of the difference equation $mathbf{x_{n+1}=x_{n}x_{n-3}-1}$

We investigate the long-term behavior of solutions of the difference equation[ x_{n+1}=x_{n}x_{n-3}-1 ,, n=0 ,, 1 ,, ldots ,, ]noindent where the initial conditions $x_{-3} ,, x_{-2} ,, x_{-1} ,, x_{0}$ are real numbers.  In particular, we look at the periodicity and asymptotic periodicity of solutions, as well as the existence of unbounded solutions.

Synthesis of N, N΄3, 4-Dialkylamino-1, 2, 5-Oxadiazoles

N, N΄-3, 4-di(methylamino)-1, 2, 5-oxadiazole (1f) was prepared by dehydration of N, N΄-3, 4-di(methylamino)glyoxime (2f) in aqueous potassium hydroxid at 170-180 ˚C. Under similar conditions N, N΄-3, 4-di(benzylamino)-1, 2, 5-oxadiazole (1c) and N, N΄-3, 4-di(isopropylamino)...

The N-Membranes Problem

on the nature of solutions of the difference equation $mathbf{x_{n+1}=x_{n}x_{n-3}-1}$

we investigate the long-term behavior of solutions of the difference equation[ x_{n+1}=x_{n}x_{n-3}-1 ,, n=0 ,, 1 ,, ldots ,, ]noindent where the initial conditions $x_{-3} ,, x_{-2} ,, x_{-1} ,, x_{0}$ are real numbers.  in particular, we look at the periodicity and asymptotic periodicity of solutions, as well as the existence of unbounded solutions.

Das 1..13

stkeciencem D ow nladed fom The fission yeast Schizosaccharomyces pombe has more metazoan-like features than the budding yeast Saccharomyces cerevisiae, yet it has similarly facile genetics. We present a large-scale verified binary protein-protein interactome network, “StressNet,” based on high-throughput yeast two-hybrid screens of interacting proteins classified as part of stress response and...