Synthesis and Structural Characterization of the Co(III) Complex with 2'-[1-(2-Pyridinyl)-Ethylidene]-Oxamohydrazide (Hapsox): The Crystal Structure of Bis-{2'-[1-(2-Pyridinyl)-Ethylidene]-Oxamohydrazido} Cobalt(III) Perchlorate, [Co(apsox)2]ClO4

The synthesis of a novel ligand 2′-[1-(2-pyridinyl)-ethylidene]-oxamohydrazide (Hapsox), from a series of 2-acetylpyridine acylhydrazones, and its complex with Co(III), which is the first in this series of complexes are described. Both the ligand and the complex were characterized by elemental analysis, IR, ¹H-NMR, and ¹³C-NMR spectra, and the structure of the complex [Co(apsox)₂]ClO₄ was determined by X-ray structural analysis. It was established that [Co(apsox)₂]ClO₄ has an octahedral geometry with two tridentate apsox ligands in monoanionic form. Structural characteristics, lengths of the bonds, and angles between the bonds were typical for Co(III) complexes of distorted octahedral geometry. Both direct and template synthesis afforded the same geometrical isomer of the complex with two apsox ligands meridionally bound to the central metal ion, even in the case when equimolar quantities of Co(ClO₄)₂ and Hapsox were applied.     

比导数荧光光谱法测定混合芳烃

比值导数荧光光谱法是将混合物的光谱除以其中一组分的光谱得到比值光谱，利用比值光谱对波长求导所得到的比值导数光谱来达到消除干扰组分影响、分辨重叠光谱的目的。作者研究用比值导数荧光光谱法对２组分和３组分荧光光谱严重重叠的菲、、蒽混合芳烃溶液进行分析，测试效果良好，回收率为９４％～１０５％。     

Simultaneous determination of chlorophyll a and chlorophyll b by derivative spectrophotometry

Chlorophyll a (Chl a) and chlorophyll b (Chl b) plant pigments, which are important in the food industry and are beneficial as environmental pollution indicators, have been extracted with a novel solvent mixture (1:1 v/v acetone–propanol) not containing chloroform and simultaneously determined by first-derivative spectrophotometry. The results were statistically compared to those obtained by the ordinary absorption spectrophotometric reference utilizing the principle of additivity of absorbances. The testing of the developed method in synthetic mixtures of Chl a and Chl b and in real plant material samples (grass, spinach, chard, purslane, black cabbage, crisp lettuce, rocket, dill and seaweed) proved successful in that the developed extractive derivative spectrophotometric method was both rapid and precise, and was not dependent on the Chl a/b ratio in contrast to the reference method which was adversely affected by the latter parameter.     

1-异丁基-1H-咪唑并[4,5-c]喹啉衍生物的合成与表征

一些1H-咪唑并[4,5-c]喹啉的衍生物具有免疫调节功能,能诱导干扰素和其他细胞因子的产生,表现为重要的抗病毒和抗增殖活性。本文以1-异丁基-4-氯-1H-咪唑并[4,5-c]喹啉为起始原料,与乙二醇反应,再与苄氧羰基缬氨酸经酰化、脱苄基合成了含1-异丁基-1H-咪唑并[4,5-c]喹啉的缬氨酸盐酸盐。目标化合物及中间体经IR、NMR、MS和元素分析予以确证。     

部分线性模型非参数分量的线性关系检验

对于部分线性模型中非参数部分是否为某一特定阶数(记为p)的多项式函数的检验问题,本文基于非参数函数在各点的p阶导函数估计值的样本方差构造了一个简单的检验统计量.给出了计算检验p-值的三阶矩χ2逼近方法.最后通过数值模拟验证了我们所提检验方法的有效性.     

A NEW DERIVATIVE FREE OPTIMIZATION METHOD BASED ON CONIC INTERPOLATION MODEL

In this paper, a new derivative free trust region method is developed basedon the conic interpolation model for the unconstrained optimization. The conic inter-polation model is built by means of the quadratic model function, the collinear scalingformula, quadratic approximation and interpolation. All the parameters in this model axedetermined by objective function interpolation condition. A new derivative free method isdeveloped based upon this model and the global convergence of this new method is provedwithout any information on gradient.     

导数-比导数紫外分光光度法同时测量水样中硝酸根和亚硝酸根的含量

在不需分离和掩蔽的条件下,在导数间隔因子为10nm,测量波长在200、210、220nm时,用导数-比导数法同时测定光谱重叠严重的水样中NO~-_2和NO_3~-含量,二者测定的标准回收率在95%—105%,6次测定的相对标准偏差小于3%,NO_2~-的浓度在0—13mg/L,NO~-_3的浓度在0—10mg/L符合线性关系。     

Derivative free two-point methods with and without memory for solving nonlinear equations

Two families of derivative free two-point iterative methods for solving nonlinear equations are constructed. These methods use a suitable parametric function and an arbitrary real parameter. It is proved that the first family has the convergence order four requiring only three function evaluations per iteration. In this way it is demonstrated that the proposed family without memory supports the Kung-Traub hypothesis (1974) on the upper bound 2ⁿ of the order of multipoint methods based on n + 1 function evaluations. Further acceleration of the convergence rate is attained by varying a free parameter from step to step using information available from the previous step. This approach leads to a family of two-step self-accelerating methods with memory whose order of convergence is at least and even in special cases. The increase of convergence order is attained without any additional calculations so that the family of methods with memory possesses a very high computational efficiency. Numerical examples are included to demonstrate exceptional convergence speed of the proposed methods using only few function evaluations.     

A WAVELET TRANSFORM AND ITS APPLICATION TO SPECTROSCOPIC ANALYSIS

ABSTRACT

An introduction to the wavelet transform and its applications in spectroscopy analysis are presented. Owing to the property of the dual localization both in time and in frequency domains, the wavelet transform exhibits several useful characteristics. With the wavelet transform a signal can be decomposed into series of contributions according to the frequency difference, these contributions are respectively called discrete approximations and discrete details. By applying certain treatment to the discrete approximations (the low frequency part) or the discrete details (the high frequency part), a part of the original signal within a certain frequency range can be obtained. The wavelet transform has been applied in various fields of the analytical chemistry, including removal of high frequency noise, information extraction, resolution of overlapping signals, and data compression etc. Research concerning application in analytical chemistry are introduced in respect of photoacoustic spectroscopy, EXAFS spectrum, NMR analysis, and Raman spectrum.     

Truncation Analysis for the Derivative Schrödinger Equation

The truncation equation for the derivative nonlinear Schrödinger equation has been discussed in this paper. The existence of a special heteroclinic orbit has been found by using geometrical singular perturbation theory together with Melnikov's technique.