线性无关向量组正交化的矩阵解法

利用矩阵的初等变换,给出了线性无关向量组正交化的矩阵解法,使用该方法使得线性无关向量组正交化过程更加简捷易行。     

正蕴涵BCK-代数的伴随半群

本文讨论了正蕴涵BCK－代数的剩余刻划;证明了具有条件（S）的正蕴涵BCK－代数的伴随半群是一个下半格。     

伴随矩阵的若干性质

从特殊矩阵的伴随矩阵的关系考察了伴随矩阵的性质。     

一个两点边值问题多重正解的存在性

利用不动点指数的同伦不变性和最大值原理,经过构造一个函数,得到了非线性两点边值问题至少存在两个正解的新的充分条件．该结果在Ｄｉｒｉｃｈｌｅｔ边值问题的情况下,严格优于文献［１］的相应结果．     

C^＊—代数中的正逼近

讨论了Ｃ＊－代数中的正元逼近问题,研究了逼近度的一系列性质;应用Ｃ＊－代数的万有表示和Ｈａｌｍｏｓ关于正算子逼近的结果,证明了Ｃ＊－代数中的任一元都存在最佳正逼近并且给出了最佳正逼近的表达式。     

Study of intermolecular interactions in aqueous solutions by millimeter spectroscopy

The absorption of millimeter electromagnetic radiation (v=1.4, 1.71, and 5 cm⁻¹) by aqueous solutions of glycine (pH 6.1–6.2) in the concentration range of 0.5–2.5 mol L⁻¹ was measured. It was found that the absorbing ability of the water present in the solutions, is higher than that of pure water. This phenomenon is explained by the presence of a center of negative hydration in the structure of the glycine zwitterion, which results in an increase in the rotational mobility of water molecules immobilized in the hydrate shell of the glycine zwitterion. For Part 5, see Ref. 1. Deceased. Translated fromIzvestiya Akademii Nauk. Seriya Khimicheskaya, No. 7, pp. 1305–1307, July, 1997.     

Mass spectrometer-wall probe diagnostic of Ar discharges containing SF6 and/or O2: Reactive ions in etching plasmas

Positive and negative ions of Ar/SF₆ and Ar/SF₆/O₂ plasmas (etching plasmas) and of Ar/O₂ plasmas (cleaning plasmas) in Pyrex tubes have been investigated using a mass spectrometer-wall probe diagnostic technique. The measurement of negative ions proved to be a very sensitive method for the detection of wall material. In etching plasmas with small admixtures of SF₆, oxygen was found as the only representative of wall material. At larger amounts of SF₆, silicon could be detected. In cleaning plasmas with small admixtures of O₂ applied to a previously etched Pyrex surface, fluorine was found, indicating the reversal of fluoridation by oxygenation.     

Influence of the variable wall thickness of the sample tubes and a quartz Dewar on the EPR signal intensity in a single TE102 and double TE104 rectangular cavity

The response of a single TE₁₀₂ and double TE₁₀₄ rectangular cavity to the insertion of samples contained in tubes with variable wall thickness and a quartz Dewar into the cavity has been analyzed. A direct, indirect, and concurrent (positive or negative) “lens effect” inside the double TE₁₀₄ rectangular cavity is discussed. The experimental dependence of the EPR signal intensity on the wall thickness of the sample tube, δ, for the line-like samples with identical length of the sample material column, L=30 mm, recorded in the microwave cavity showed a directly proportional increase of the relative “lens effect” with the increase of the wall thickness of the tube in the interval, δ∈<0.1 mm, >0.5 mm. The insertion of the variable-temperature double-wall quartz Dewar (home-built, resonant frequency shift, ca. −300 MHz) into the single TE₁₀₂ rectangular cavity showed the same relative “lens effect”, with ca. 1.5-time increase of the EPR signal intensity, for a point-like sample and the line-like samples with material columns of diameter of 1 and 1.3 mm, and wall thickness of the sample tubes, δ∈<0.1 mm, >0.5 mm. The increased effect of the Dewar arises because the active volume of the quartz Dewar tube walls is always much more larger than the active volume of the sample tube wall. In the case of the double TE₁₀₄ rectangular cavity, the insertion of the quartz Dewar: (i) into the same cavity, in which the sample is present, caused a direct “lens effect”, with ca. 1.8-fold increase of the EPR signal intensity; however, (ii) into the complementary cavity, in which the sample is absent, caused an indirect “lens effect”, with ca. 0.6-fold decrease of the EPR signal intensity. With the Dewar and sample in one cavity and a large empty sample tube in the complementary cavity, a concurrent (positive or negative) “lens effect” can be observed. Thus, the possible increase/decrease of the EPR signal intensity depends on the volume ratio of the quartz Dewar tube walls and large sample tube wall inserted into the double TE₁₀₄ rectangular cavity. Each of the above phenomena may be a significant source error in quantitative EPR spectrometry unless the samples to be compared in the quantitative EPR analysis are contained in sample tubes having the same wall thickness and each EPR spectra should be recorded inside an identical quartz Dewar.     

矩阵方程Xs+A*X-tA=In的Hermite正定解的特征值分布

给出了矩阵方程X~s A~*X~-t A=I_n在||A||-2≤(s/s t)(t/s t)~(t/s)时Hermite 正定解的最小、最大特征值的所在区间,并且讨论了其余特征值的分布情况.     

求解非线性规划问题的拟合算法

文章讨论非线性规划问题，借助于函数拟舍的思想，建立了问题的一个初始点任意的线性收敛的新算法，在新算法的每次迭代中，下降方向是从函数的拟合中得到，而不是由传统的拟牛顿方程得到，并且在较弱的假设下证明算法是线性收敛的．