关键词： Magnetic Resonance Spectroscopy   Adenosine Triphosphate   Algorithms   Brain Chemistry   Cytosol   Humans   Hydrogen-Ion Concentration   Magnesium   Mathematics   Occipital Lobe   Phosphocreatine  

摘要： Free cytosolic [Mg2+] can be assessed in vivo by P-31 MRS from the chemical shift of beta-ATP which in turn depends on the fraction of total ATP complexed to Mg2+ ions, The reliability of these in vive measurements depends on the availability of an appropriate in vitro calibration to determine the limits of chemical shifts of unbound ATP and Mg-ATP complexes, using solutions that mimic the in vive cytosolic conditions as far as possible, We used an algorithm and software to allow a quantitative definition of the Mg2+-binding molecules to build a semi-empirical equation that correlates the chemical shift of the beta-ATP signal to the [Mg2+] taking into account the amount of Mg2+ bound to all other constituents in solution, Our experiments resulted in a simple and reliable equation directly usable to assess in vive the free cytosolic magnesium concentration of human brain by P-31 MRS. Our method is also flexible enough to make it suitable for in vive measurements of [Mg2+] in other organs and tissues.

关键词： 对话系统   识别语言   述评   语言识别   相互关系   对话模型   语义规则   形式化   分级系统   数学算法  

关键词： Algebra   algorithms  

摘要： This paper demonstrates how certain logic and combinatorial tasks can be solved using CNNs. A design method is proposed for solving combinatorial tasks on a CNN, It can be used to simulate cellular automata on a CNN, to prove the self-reproducing capability of the CNNUM and for sorting, histogram calculation, parity analysis and minimum Hamming distance computation. These solutions are especially useful since they can serve as subroutines of more complex CNNUM algorithms. As an important real-life application the lay-out of printed circuit boards is designed with the CNNUM at an extremely high speed.

关键词： 原子吸收光谱分析   多元混合干扰   数学模型及算法   化学计量学  

摘要： 研究了火焰原子吸收光谱分析中多元混合干扰效应的计算消除方法．提出用多项式作为定量描述主测元素与干扰元素之间关系的通用数学模型，并对计算机自动寻找适宜的数学模型作了探讨。运用和尝试了一种新的下降算法──搜索法。本文是对多元统计方法在原子光谱分析中的应用的探索。在对多组分体系进行分析时，利用其元素间相互干扰时所形成的体系总吸光度与各组分浓度间的函数关系，用增量法去形成所需的系数矩阵，从而实现了在单波长处进行多元统计分析。

关键词： designant   Clifford algebra   Clifford group   vector epsilon-algorithm  

摘要： The vector epsilon-algorithm is obtained from the scalar epsilon-algorithm by taking the pseudo-inverse of a vector instead of the inverse of a scalar. Thus the vector epsilon-algorithm is known only through its rules contrarily to the scalar epsilon-algorithm and some other extrapolation algorithms. The aim of this paper is to provide an algebraic approach to the vector epsilon-algorithm.

关键词： 数学形态学   结构元   边缘检测   影象分割  

摘要： 数学形态学是研究数字影象形态结构特征的一门新兴理论，它在数字图象处理领域中有很强的应用。本文从数学形态学理论出发，研制了一套形态变换算法，并用于规则几何形状的数字影象分割和边缘检测，取得了令人满意的效果。

关键词： 极值   算法   微积分   初等数学