加权总体最小二乘问题的解集和性质

本文讨论了加权总体最小二乘问题的等价解集，分析了加权总体最小二乘解与加权最小二乘问题的解之间的关系。推广了Ｇｏｌｕｂ和Ｖａｎ Ｌｏａｎ，Ｖａｎ Ｈｕｆｆｅｌ和Ｖａｎｄｅｗａｌｌｅ，及Ｗｅｉ的相应结果。     

非齐次Toda晶格的对称,精确解和可积性

研究非齐次Toda晶格，即一类非齐次非线性微分差分方程的对称与可积性。给出了这一类方程的Lie点对称，条件对称和精确解。给出这类方程与Toda晶格之间的可逆点变换，从而表明这一类方程是可积的。     

微色谱柱分离—FAAS法测定镀铬液中铁、铜、锌

本文研究了减压条件下微孔色谱柱分离富集镀铬液中杂质无素铁、铜、锌的柱性能，确定了最佳富集条件，在近中性介质中，以H^ 型732强酸性阳离子交换树脂于φ3×70mm微孔色谱柱中富集镀铬液中铁、铜、锌，与铬（Ⅵ）分离，以蒸馏水为淋洗液，被吸附的离子用4.5mol/L硝酸洗脱后用火焰原子吸收光谱法测定，方法简便、快速，灵敏度高，标准加入回收率在98％－104％之间，用于镀铬液中铁、铜、锌的测定，结果令人满意。     

ON THE EXISTENCE OF GLOBAL GENERAL SOLUTIONS OF POLYNOMIAL SYSTEMS

ＯＮＴＨＥＥＸＩＳＴＥＮＣＥＯＦＧＬＯＢＡＬＧＥＮＥＲＡＬＳＯＬＵＴＩＯＮＳＯＦ　ＰＯＬＹＮＯＭＩＡＬＳＹＳＴＥＭＳＺＨＡＯＸＩＡＯＱＩＡＮＧ（赵晓强）（ＩｎｓｔｉｔｕｔｅｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓ，ｔｈｅＣｈｉｎｅｓｅＡｃａｄｅｍｙｏ...     

Solution Equilibria. A Unified Mathematical Treatment of Experimental Polarographic and Potentiometric Data from Acid?Base and Ligand Titrations. A Polarographic and Ion Selective Electrode Study of CdII?(N‐(2‐hydroxyethyl)iminodiacetic acid)?OH System

It has been demonstrated that potentiometric and polarographic data coming from either acid? base or ligand titrations can be evaluated by the same set of equations and mathematical procedures involving mass‐balance equations written for any metal? ligand model, including polynuclear species. It is shown that the concept of the complex formation curves, used previously in modeling and refinement of stability constants in acid‐base titration, is of general nature and can be successfully used in polarographic and potentiometric experiments conducted as a function of pH or an excess of a ligand. It appears that the linear relationship ΔE vs. log [M], typical for potentiometric studies with ISE, holds also in the case of the study of kinetically mixed metal‐ligand system studied by polarography when the corrected shift in the polarographic signal is used. The relationship ΔE vs. log [M] applies equally to the acid‐base and ligand titration for both experimental techniques employed (potentiometry and polarography). The significance of the corrected shift is discussed and its meaning in the study of kinetically fast or slow metal? ligand systems is elaborated. Advantages of the acid‐base titration over the ligand titration are discussed. The generalized mathematical data treatment was successfully employed in the study of the Cd^II? (N‐(2‐hydroxyethyl)iminodiacetic acid) system. Results obtained from both analytical techniques (potentiometry with the use of an ion selective electrode, and two polarographic techniques) and analytical procedures (acid? base and ligand titrations) compare well with each other and with the literature data (the formation and stability constants of ML and ML₂). In addition, a new complex M(HL) was identified and its stability constant is reported.     

Some Notes about Tanaka''''s Equation

ＳｏｍｅＮｏｔｅｓａｂｏｕｔＴａｎａｋａ＇ｓＥｑｕａｔｉｏｎＹａｎＺｈｉｂｉｎ（严质彬）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＨａｒｂｉｎＩｎｓｔｉｔｕｔｅｏｆＴｅｃｈｎｏｌｏｇｙ，Ｈａｒｂｉｎ，１５０００１）ＡｂｓｔｒａｃｔＬｅｔ｛Ｗｔ...     

双层桥梁耦合系统的强迫振动

本文研究作为双层桥模型的梁方程耦合系统，利用Ｌｅｒａｙ－Ｓｃｈａｕｄｅｒ不动点定理，得到了一个关于这种系统的解的存在性定理，它类似于ＭｃＫｅｎｎａ和Ｗａｌｔｅｒ文２中关于吊桥方程的一个定理。     

Fuzzy矩阵方程的摄动问题

讨论了Fuzzy矩阵A的同解简化矩阵A^(2)，指出陈贻源论文《解Fuzzy关系方程》中定量3的错误。研究Fuzzy矩阵方程的摄动问题，解决了汤服成（2000）提出的未解决问题。     

PBT／PET共混体系的协同效应

ＰＢＴ、ＰＥＴ具有良好相容性，且两种聚合物分子链间存在相互作用，它们的共混体系在熔体降温结晶过程中以及溶液中均表现出协同效应。虽然ＰＢＴ、ＰＥＴ在共混体系中各自形成晶区，但熔体降温结果过程中只能观察到一个结晶放热峰，当ＰＢＴ／ＰＥＴ共混物中两组份分子链段数目相近时，熔体降温结晶峰温较低，峰形变宽，共混体系的结晶程度降低在溶液中两组份分子链段数目相近时，共混物特性粘度（η）值最大，分子链的均方根末端     

Small-angle X-ray scattering studies of the open and closed conformations of aspartate aminotransferase

Summary Aspartate aminotransferase was investigated by X-ray small-angle scattering. A small difference was found between the open (active) and the closed (liganded) conformation of the enzyme. The results were compared with X-ray crystallography data.

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Untersuchungen zur Röntgenkleinwinkelstreuung der offenen und geschlossenen Konformation von Aspartat-Aminotransferase

Zusammenfassung Aspartat-Aminotransferase wurde mittels Röntgenkleinwinkelstreuung untersucht. Ein kleiner Unterschied zwischen der offenen (aktiven) und der geschlossenen (ligandierten) Konformation wurde gefunden. Die Ergebnisse wurden mit Röntgenkristallstrukturdaten verglichen.

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Abbreviations AspAT aspartate aminotransferase