这篇译文译自《Fifteen Papers on Functional Aflulysis》,American Mathema-tical Society Translations Series 2.Ⅴ124。(《泛函分析十五篇论文集》),它在抽象边界条件意义下对正定对称算子的扩张进行了描述性讨论,同时对算子的根...这篇译文译自《Fifteen Papers on Functional Aflulysis》,American Mathema-tical Society Translations Series 2.Ⅴ124。(《泛函分析十五篇论文集》),它在抽象边界条件意义下对正定对称算子的扩张进行了描述性讨论,同时对算子的根向量系的完备性也进行了讨论;它对研究算子理论的读者无疑是有一定帮助的。展开更多
This paper,combined algebraical structure with analytical system,has studied the part of theory of C~*-modules over A by using the homolgical methods, where A is a commutative C~*-algebra over complex number field C. ...This paper,combined algebraical structure with analytical system,has studied the part of theory of C~*-modules over A by using the homolgical methods, where A is a commutative C~*-algebra over complex number field C. That is to say we have not only defined some relevant new concept,but also obtained some results about them.展开更多
It is well known that optical tomography can accurately and quantitatively reconstruct the refractive index field of a transparent medium and display the three dimensional image of other physical quantities relevant t...It is well known that optical tomography can accurately and quantitatively reconstruct the refractive index field of a transparent medium and display the three dimensional image of other physical quantities relevant to temperature or density. In this paper, a new multidirectional holographic interferometric system is built, and two kinds of image reconstruction algorithms are introduced and an automatic image processing system of interferogram is designed. A three dimentsional asymmetric gas flow field above a combustor is expertmentally investigated with holographic interferometry. The reconstructed temperatures are similar to those measured with a thermocouple.展开更多
Using operator-theoretic-methods, we give some characterizations for a dual generalized frame of a generalized frame in a separable Hilbert space H. We also prove a result concerning two strongly disjiont generalized ...Using operator-theoretic-methods, we give some characterizations for a dual generalized frame of a generalized frame in a separable Hilbert space H. We also prove a result concerning two strongly disjiont generalized frames.展开更多
In this article, we propose a new general approach to constructing asymmetrical orthogonal arrays, namely the Kronecker sum. It is interesting since a lot of new mixed-level orthogonal arrays can be obtained by this m...In this article, we propose a new general approach to constructing asymmetrical orthogonal arrays, namely the Kronecker sum. It is interesting since a lot of new mixed-level orthogonal arrays can be obtained by this method.展开更多
文摘这篇译文译自《Fifteen Papers on Functional Aflulysis》,American Mathema-tical Society Translations Series 2.Ⅴ124。(《泛函分析十五篇论文集》),它在抽象边界条件意义下对正定对称算子的扩张进行了描述性讨论,同时对算子的根向量系的完备性也进行了讨论;它对研究算子理论的读者无疑是有一定帮助的。
文摘This paper,combined algebraical structure with analytical system,has studied the part of theory of C~*-modules over A by using the homolgical methods, where A is a commutative C~*-algebra over complex number field C. That is to say we have not only defined some relevant new concept,but also obtained some results about them.
文摘It is well known that optical tomography can accurately and quantitatively reconstruct the refractive index field of a transparent medium and display the three dimensional image of other physical quantities relevant to temperature or density. In this paper, a new multidirectional holographic interferometric system is built, and two kinds of image reconstruction algorithms are introduced and an automatic image processing system of interferogram is designed. A three dimentsional asymmetric gas flow field above a combustor is expertmentally investigated with holographic interferometry. The reconstructed temperatures are similar to those measured with a thermocouple.
基金the National Natural Science Foundation of China (19771056)
文摘Using operator-theoretic-methods, we give some characterizations for a dual generalized frame of a generalized frame in a separable Hilbert space H. We also prove a result concerning two strongly disjiont generalized frames.
基金The work was supported by Visiting Scholar Foundation of Key Lab in Universityby Natural Science Foundation No.10571045,No.0224370051(Henan)and No.0211063100(Henan)in China.
文摘In this article, we propose a new general approach to constructing asymmetrical orthogonal arrays, namely the Kronecker sum. It is interesting since a lot of new mixed-level orthogonal arrays can be obtained by this method.
