We consider the classical problem of sorting an input array containing $n$ elements, where each element is described with a $k$-bit comparison key and $w$-bit payload. A long-standing open whether there exist $(k + w) \cdot o(n \log n)$-sized Boolean circuits for sorting. landmark result in this area work by Ajtai, Komlós, Szemerédi (An $O(n n)$ network, STOC'83), they showed how to achieve O(n...

The kinetics of iodination of the phenol and substituted phenols using pyridiniumiodochloride in methanol has been studied under varying conditions. The rates show first orderkinetics each in pyridinium iodochloride and phenols. The rates of reactions are measured atdifferent temperature and activation parameters for all phenols computed. Hammett plot is foundto be valid and the corrletion betw...

The aim of this paper is to present a proof of the equivalence of the equalities N P = PCP(log log n; 1) and P = N P. The proof is based on producing long pseudo-random bit strings through random walks on expander graphs. This technique also implies that for any language in N P there exists a restricted veriier using log n + c, c is a constant, random bits. Furthermore, we prove that the equali...

the kinetics of iodination of the phenol and substituted phenols using pyridiniumiodochloride in methanol has been studied under varying conditions. the rates show first orderkinetics each in pyridinium iodochloride and phenols. the rates of reactions are measured atdifferent temperature and activation parameters for all phenols computed. hammett plot is foundto be valid and the corrletion betw...

Network security investigations pose many challenges to security analysts attempting to identify the root cause of security alarms or incidents. Analysts are often presented with cases where either incomplete information is present, or an overwhelming amount of information is presented in a disorganized manner. Either scenario greatly impacts the ability for incident responders to properly iden...

This editor’s note gives an overview of the content this issue which is sponsored by Oregon Sea Grant.

This paper describes a new variant of the least-mean-squares (LMS) algorithm, with low computational complexity, for updating an adaptive lter. The reduction in complexity is obtained by using values of the input data and the output error, quantized to the nearest power of two, to compute the gradient. This eliminates the need for multipliers or shifters in the algorithm's update section. The q...