A five-channel grating spectrometer for millimeter-waves

A five-channel grating spectrometer for use in millimeter wave band (25100GHz) is described with its design theory of optical path, and measured results of insertion loss and resolving power.     

Chaotic electronic scattering with He(+)

We investigate classical electronic collisions with a He(+) ion. Scattering functions, such as the scattering angle, collisional time, or energy of the outgoing electron, all exhibit an interesting hierarchial self-similar structure, which can be interpreted in terms of the indefinite number of electronic returns to the vicinity of the nucleus, encounters between electrons, and Keplerian excursions of electrons during the collisional processes. Based on this mechanism a binary coding is introduced to organize the dynamics of this three-body system and to provide an understanding of the self-similarity among generations of scale magnification, which yields escape rates that vary with the sectional cut into the parameter space. The self-similarity displayed within a single generation, on the other hand, can be simply tied to the periods of the two independent electronic excursions. The physical interpretation and the symbolic dynamics introduced here are generally useful for three-body collisional systems, including atomic, molecular, or stellar collisions.     

Constructive methods of approximation by ridge functions and radial functions

Let be a univariant function, and letg(x) be the average of (x,u) asu runs over the unit sphere in ⁿ . We give a necessary and sufficient condition forg to be a kernel function, i.e., thatg be inL ¹ ( ⁿ ) and have integral 1. The result is used to give a constructive proof of the density of the ridge functions based upon the function .     

On small zeros of quadratic forms over finite fields (II)

Let be a quadratic form with integer coefficients and letp denote a prime. Cochrane^[1] proved that ifn≥4 then has a solution satisfying , where . The aim of the present paper is to generalize the above result to finite fields.     

磺胺二甲嘧啶的极谱伏安行为

本文考察了磺胺二甲嘧啶在多种底液中的极谱伏安行为，发现其在ＢｒｉｔｏｎＲｏｂｉｎｓｏｎ（ＢＲ）缓冲溶液（ｐＨ２．２）中产生一个良好的还原峰，峰电位为－０．８５Ｖ（ｖｓ．ＳＣＥ），峰电流与磺胺二甲嘧啶浓度在１×１０－７３×１０－４ｍｏｌ／Ｌ范围内呈良好的线性关系，检出限为９×１０－８ｍｏｌ／Ｌ，大多数金属离子和无机阴离子不干扰测定，可望用于定量测定用多种电化学方法研究了该还原峰电流的性质，结果表明，它是具有吸附性质的不可逆还原峰