四角链关于Hosoya指标和Merrifield—Simmons指标的上下界

基于前面的研究工作，我们分别确定了四角链关于Hosoya指标和Merrifield-Simmons指标的上界和下界．     

The approximating behavior on nonlinearities of solutions of a degenerate parabolic equation

The approximating character of solutions of a degenerate parabolicequation is studied in this paper. We will show that the solutionsare Lipschitz continuous with respect to the nonlinearitiesof the equations. An explicitly approximating estimate is obtained.     

多维拟线性退化抛物方程Cauchy问题解的唯一性和稳定性

本文证明了拟线性退化抛物方程■的Cauchy问题BV解的唯一性和稳定性.     

锥伪单调和锥严格拟凸映射向量平衡问题

研究在锥伪单调、锥拟凸、锥严格拟凸和次连续条件下几类二元向量平衡问题解的关系，利用KyFan不动点定理证明了解的存在性。     

Blind source separation of multichannel electroencephalogram based on wavelet transform and ICA

Combination of the wavelet transform and independent component analysis （ICA） was employed for blind source separation （BSS） of multichannel electroencephalogram （EEG）. After denoising the original signals by discrete wavelet transform, high frequency components of some noises and artifacts were removed from the original signals. The denoised signals were reconstructed again for the purpose of ICA, such that the drawback that ICA cannot distinguish noises from source signals can be overcome effectively. The practical processing results showed that this method is an effective way to BSS of multichannel EEG. The method is actually a combination of wavelet transform with adaptive neural network, so it is also useful for BBS of other complex signals.     

Managing of Procambarus clarkii by X-ray sterilisation of males: Cytological damage to gonads

Procambarus clarkii is an invasive alien species spreading worldwide. It is therefore mandatory to find new methods to manage this species since traditional techniques are not sufficient for this purpose. The present study investigates gonad damage induced by different doses of ionising irradiation: 20, 40 and 60 Gy. Testis were analysed after 10 and 30 days by means of light, scanning and transmission electron microscopy. Control unirradiated testes present an acinar structure with a well-defined germinative cells maturation from the distal proliferative zone to the proximal stalk of the lobes whilst, in irradiated testes, induced apoptosis of germinative and accessory cells and a high level of vacuolisation inside the acini were identified, progressively increasing in accordance to Gy dosage and time after exposure. We determined the dose of 40 Gy as the best compromise: it causes an extensive damage to germinative tissues without affecting crayfish vitality, differing from 60 Gy. From an applicative point of view, this dose reduces the efforts, in terms of cost and time, for the application of SMRT.     

Fast inspection of fruits using nuclear magnetic resonance spectroscopy

High-resolution nuclear magnetic resonance (NMR) spectroscopy is an indispensable technique for obtaining chemical structure information. Its quantitative and noninvasive properties have led to its growing popularity as an analytical tool in many fields, including biology, chemistry, medicine, and food science. During transportation and storage, chemical reactions among the many nutrients lead to a loss of food quality. In these circumstances, portable NMR spectrometers can readily be used for food inspection and quality control. Because of the heterogeneous tissue distribution in food, a high-resolution NMR method is required for detailed food inspection. Therefore, in this study, we demonstrated the feasibility of using an intermolecular double-quantum coherence signal to obtain high-resolution metabolic profiles of several fruits, including grape, cantaloupe, tomato, and watermelon. The resulting high-resolution NMR spectra facilitate the identification of important metabolites, which can be used as biomarkers for food quality control. The method established here may be adapted for food inspection using portable NMR equipment.     

毛细管电泳-电致化学发光联用技术检测烟草中尼古丁含量

建立了毛细管电泳-电致化学发光联用技术(CE-ECL)检测烟草浸出液中尼古丁含量的方法。考察了检测电位、检测池中Ru(bpy)32+浓度和缓冲液pH值、CE运行缓冲液浓度和pH值、进样时间和电压,以及CE分离电压等实验条件对尼古丁测定的影响。在优化的条件下,尼古丁检测的线性范围为低浓度段:1～100μg/L(r>0.999)、高浓度段:100～1500μg/L(r>0.996),检出限为0.5μg/L(S/N=3)。将本方法用于3种品牌的烟草浸出液中尼古丁含量的测量,测定值均与烟盒上尼古丁的标注值相吻合,样品的加标回收率为95%～106%。     

A simple proof of Graham and Pollak's theorem

Graham and Pollak [Bell System Tech. J. 50 (1971) 2495-2519] obtained a beautiful formula on the determinant of distance matrices of trees, which is independent of the structure of the trees. In this paper we give a simple proof of Graham and Pollak's result.     

Hopf bifurcation of a nonlinear delayed system of machine tool vibration via pseudo-oscillator analysis

On the basis of the newly developed pseudo-oscillator analysis, the local dynamics near a Hopf bifurcation of a nonlinear delayed system of machine tool vibration is investigated in this paper. Starting from a pseudo-oscillator that is slightly perturbed from an undamped oscillator, the pseudo-oscillator analysis shows that near the Hopf bifurcation, the local dynamics can be justified simply by the properties of the averaged pseudo-power function. Unlike the widely used approaches such as the center manifold reduction, the pseudo-oscillator analysis involves very easy computation and gives prediction of the local dynamics with high accuracy.