A note about the cyclotomic polynomial Φ pq (x) and some related results

Abstract

A note about the cyclotomic polynomial Φ pq (x) and some related results ZHU Feng-xiang QI Wen-feng Abstract. The expression of cyclotomic polynomial Φpq(x) is concerned for a long time. A simple and explicit expression of Φpq(x) in Z[x] has been showed. The form of the factors of Φpq(x) over F2 and the upper, lower bounds of their Hamming weight are provided.lower bounds of their Hamming weight are also provided. We present an example in which the bounds established in Theorem 3 are attained. However, in most cases the bound can not be reached. It is worth more researches.

A Nanosilver Resonance Rayleigh Scattering Method for the Determination of Trace Cysteine

“…Therefore, it has an important meaning for the cysteine detection method which has high sensitivity, high selectivity, and low cost. At present, the methods of measuring cysteine mainly include spectrophotometry [2][3], fluorescence method [4,5], cheminumilescence [6][7], mass spectrometry [8], electrochemical method [9]. Resonance Rayleigh scattering (RRS) method has characteristics of sensitive, rapid and convenient, and has been utilized tosome inorganic and organic substances [10].…”