A new linear method for analyzing four‐way multiblock tables: STATIS‐4

A new four‐way multiblock method is proposed to study the links between more than two sets of data tables (several multiblocks) measured on the same observations. This method, called STATIS‐4, generalizes the STATIS method to more than one set of matrices. In its first step, STATIS‐4 is searching for one consensus for each multiblock and a global consensus summarizing all the previous ones as good as possible. Some graphical representations can be made to visualize the proximities between the tables within a multiblock and to visualize those between all the multiblocks. Moreover, plots of the observations for each table, each multiblock and global observations can be made. The theory of STATIS‐4 and the algorithm used to obtain the optimal solutions are presented. Moreover, a real sensory dataset is studied with STATIS‐4. Copyright © 2008 John Wiley & Sons, Ltd.     

Quantic Superpositions and the Geometry of Complex Hilbert Spaces

The concept of a superposition is a revolutionary novelty introduced by Quantum Mechanics. If a system may be in any one of two pure states x and y, we must consider that it may also be in any one of many superpositions of x and y. An in-depth analysis of superpositions is proposed, in which states are represented by one-dimensional subspaces, not by unit vectors as in Dirac’s notation. Superpositions must be considered when one cannot distinguish between possible paths, i.e., histories, leading to the current state of the system. In such a case the resulting state is some compound of the states that result from each of the possible paths. States can be compounded, i.e., superposed in such a way only if they are not orthogonal. Since different classical states are orthogonal, the claim implies no non-trivial superpositions can be observed in classical systems. The parameter that defines such compounds is a proportion defining the mix of the different states entering the compound. Two quantities, p and θ, both geometrical in nature, relate one-dimensional subspaces in complex Hilbert spaces: the first one is a measure of proximity relating two rays, the second one is an angle relating three rays. The properties of superpositions with respect to those two quantities are studied. The algebraic properties of the operation of superposition are very different from those that govern linear combination of vectors. This work was partially supported by the Jean and Helene Alfassa fund for research in Artificial Intelligence, by the Israel Science Foundation grant 183/03 on “Quantum and other cumulative logics” and by EPSRC Visiting Fellowship GR/T 24562 on “Quantum Logic”.     

正负电子湮灭过程的核子激发态N*产生(英文)

目前,正负电子湮灭过程的核子激发态N*产生的实验数据主要来自于粲偶素能区。粲偶素衰变到核子激发态过程类似于其类时电磁形状因子测量过程,正反粲夸克短程湮灭提供了近乎于点源的胶子强子化过程。与γN,eN,πN反应互补,这一新的N*产生源具有同位旋和低自旋筛选的优势。综述了正负电子湮灭过程的核子激发态N*产生的实验情况和相关的唯象进展,同时讨论未来发展的一些新方向,如正负电子湮灭过程的核子激发态N*产物的一些新来源等。Up to now, the N* production from e+e- annihilations has been studied only around charmonium region. Charmonium decays to N*s are analogous to (time-like) EM form factors in that the charm quark annihilation provides a nearly pointlike (ggg) current. Complementary to other sources, such as πN, eN and γN reactions, this new source for N* spectroscopy has a few advantages, such as an isospin filter and a low spin filter. The experimental results on N* from e+e- annihilations and their phenomenological implications are reviewed. Possible new sources on N* production from e+e- annihilations are discussed.     

融合可见光-近红外与短波红外特征的新型植被指数估算冬小麦LAI

考虑到短波红外特征与叶面积指数(LAI)有很好的关联,将短波红外特征的典型水分指数与基于可见光-近红外特征的植被指数相融合,尝试构建新的植被指数估算作物LAI。通过PROSAIL辐射传输模型分析新植被指数对LAI饱和响应的特征;利用2009年和2008年北京地区冬小麦实测光谱数据进行LAI估算建模与验证。结果表明：所选择的10个典型可见光-近红外植被指数分别与5个水分植被指数相结合构建的新指数,都能够有效提高与LAI的相关性,特别是在融合了含有短波红外特征的sLAIDI*指数后,新指数显著提高了对LAI响应的饱和点,而对植被水分变化不敏感,LAI估算精度得到改善。研究表明：将短波红外特征引入到可见光-近红外植被指数中,构建的新植被指数对冬小麦LAI估算具有明显的优势。     

Quantum Mechanical Hilbert Transformation for Normally Ordering Coulomb Potential-Type Operators

We show that the technique of integration within an ordered product of operators can be extended to Hilbert transform. In so doing we derive normally ordered expansion of Coulomb potential-type operators directly by using the mathematical Hilbert transform formula.     

Three-step relaxed hybrid steepest-descent methods for variational inequalities

The classical variational inequality problem with a Lipschitzian and strongly monotone operator on a nonempty closed convex subset in a real Hilbert space is studied. A new three-step relaxed hybrid steepest-descent method for this class of variational inequalities is introduced.Strong convergence of this method is established under suitable assumptions imposed on the algorithm parameters.     

二阶广义分布参数系统的谱分布

应用泛函分析算子理论的方法研究了Hilbert空间中二阶广义分布参数系统的谱分布问题,利用有界线性算子的广义逆给出了所讨论问题的解及解的构造性表达式。这对研究二阶广义分布参数系统的镇定及渐进稳定性问题都有重要的理论价值。     

非线性椭圆型边值问题解的存在性

Hilbert空间方法被用于一类二阶半线性椭圆型边值问题并得出了某些条件下的解的存在性.     

关于分形插值函数的连续性和可微性

获得了由迭代函数系统(IFS)定义的两类分形插值函数具有Hlder连续性的充分条件,给出了这两类分形插值函数连续可微的充要条件,并证明了可微分形插值函数的导函数是由关联IFS生成的分形插值函数.     

THE STRESS SUBSPACE OF HYBRID STRESS ELEMENT AND THE DIAGONALIZATION METHOD FOR FLEXIBILITY MATRIX H

ＩｎｔｒｏｄｕｃｔｉｏｎＩｎｆｉｎｉｔｅｅｌｅｍｅｎｔａｎａｌｙｓｉｓ,ｔｈｅｄｉｓｐｌａｃｅｍｅｎｔｅｌｅｍｅｎｔｓａｒｅｖｅｒｙｐｏｐｕｌａｒｂｅｃａｕｓｅｏｆｔｈｅｉｒｅａｓｙｃｏｎｓｔｒｕｃｔｉｏｎ .Ｈｏｗｅｖｅｒ,ｉｔｉｓｖｅｒｙｄｉｆｆｉｃｕｌｔｔｏａｓｓｕｍｅｔｈｅｃｏｎｔｉｎｕｏｕｓｄｉｓｐｌａｃｅｍｅｎｔｆｉｅｌｄｆｏｒｓａｔｉｓｆａｃｔｏｒｙｓｈｅｌｌｅｌｅｍｅｎｔｓｔｈａｔｉｓｆｒｅｅｆｒｏｍｓｈｅａｒｌｏｃｋｉｎｇ .Ｉｎ 1 964 ,ｔｈｅｈｙｂｒｉｄｓｔｒｅｓｓｅｌｅｍｅｎｔｗ…