钒的一个特别灵敏指示反应

本文研究了钒（V）在乙酸介质中催化溴酸钾氧化钙试剂羧酸钠盐的褪色反应。本方法的灵敏度为2.5×101?g/ml,与同类方法相比为最高,测定范围为0～4ngV/25ml。本法已用于水样中超痕量钒测定。     

某些左零化子满足归纳条件的环

本文研究了某些特殊左零化子满足归纳条件的环的结构,得到:如果R是诣零环,P是使P半单环不含非零幂零理想的根性质,R为P根环的一个刻画。并对Goldie环的条件作了研究,得到了更一般的结果。     

电磁场边值关系中的独立方程

文献[1]曾指出、在麦克斯韦微分方程组中,只有二个旋度方程是独立的。文献[2]曾就定态波的特殊情况,指出电磁场边值关系中,也只有二个方程是独立的。本文进一步在随时间任意变化场情况下,从电磁场的二切向分量边值关系推导出另外二个法向分量的边值关系,从而普遍的证明了时变电     

RESEARCH ON SOME CHARACTERISTICS AND IMPROVEMENTS OF A 70cm STREAMER CHAMBER

In this paper the influence of various proportion of Ne-He gases and the time delay on the quality of streamer tracks has been studied. The diameterand density of streamers under these mixed-gas conditions have been measured.
The time resolution of this streamer chamber was determined to be 2.1μs in 69% Ne+31% He+8×10^－8 SF₆, and as 177μs in pure neon by using the exponentially decreasing relation of streamer desity with delay time. The spatial resolution was determined to be 0.32mm in Ne+3×10^－8 SF₆ by measuring the streamer diameters, and the method of track standard deviation was also used.
Some results show that the diameter and brightness increase with increasing high voltage, but become rather even when high voltage continues increasing.
Photographs were taken with domestically produced special film (32 DIN, 60 lines/mm), being similar to Kodak SO-143.
A special designed central electrode of the streamer chamber with its wires inlaid in lucite plate is successful for preventing gas from breakdown near wires. Besides, delay time has been reduced to 1.3μs, mainly by the Marx generator and its trigger system the parameters of which have been chosen by a series of experiments.     

矩母函数:拟对称概率测度

本文用凸函数的方法研究了概率测度的矩母函数和由C.J.Stone提出的拟对称性,并刻画了Martin边界的法向量.拟对称性在随机游动的比例极限定理中是一个重要的概念.这些结果可应用于Levy过程的研究.     

Riemann曲面上的正常和拟正常复合算子

Riemann曲面M上的平方可测1-形式全体和解析1-形式全体均可构成Hilbert空间。本文讨论Riemann曲面上的解析映射导出的这类Hilbert空间上的复合算子,研究复合算子的正常性、拟正常性的诱导映射特征。特别地,当M有有限三角剖分时,证明了正常复合算子、拟正常复合算子、酉复合算子、等距复合算子和可逆复合算子等价。     

非线性不适定问题一种双循环的牛顿型迭代格式

本文研究非线性算子方程F(x)=y的解,结合最速下降法,Newton-Landweber迭代格式及正则化思想,在F满足适当的条件下,构造出新的双循环迭代格式。本文对格式的收敛性进行了严格论证,并估计出迭代格式的收敛精度。     

双无限随机环境中马氏链的瞬时性与不变函数

在随机环境中马氏链的研究领域,引入了一类π-不可约、常返和瞬时性的概念,给出了π-不可约链是瞬时链的一个充要条件,引入了双无限随机环境中马氏链不变函数的概念,讨论了它们的存在性及基本性质。最后,利用不变函数的性质,给出了π-不可约链是瞬时链的一个判别准则,此准则与不变函数有关。     

GENERALIZED OPERATORS AND OPERATOR-VALUED DISTRIBUTIONS IN QUANTUM FIELD THEORY

The relation between generalized operators and operator-valued distributions is discussed so that these two viewpoints can be used alternatively to explain quantum fields.     

BOCHNER TECHNIQUE IN REAL FINSLER MANIFOLDS

Using non-linear connection of Finsler manifold M, the existence of local coordinates which is normalized at a point x is proved, and the Laplace operator A on 1-form of M is defined by non-linear connection and its curvature tensor. After proving the maximum principle theorem of Hopf-Bochner on M, the Bochner type vanishing theorem of Killing vectors and harmonic 1-form are obtained.