逻辑函数高阶布尔e偏导数求解算法的实现

针对已有方法在求解布尔e偏导数时只能解决小规模电路的问题,提出了一种基于逻辑函数不相交运算的大函数高阶布尔e偏导数的求解算法.该方法将逻辑函数转化为不相交乘积项的集合,用逻辑函数的不相交运算替代布尔e导数运算中的逻辑“与”运算;并将不包含待求导变量的乘积项拆分出来,不参与布尔e导数运算,以达到降低算法复杂度、提高算法速度的目的.提出的算法用C语言编程实现,并用MCNC测试电路进行了测试.实验结果显示,本算法能快速实现大函数高阶布尔e偏导数的求解,求解效率与参与不相交运算的乘积项数量有关,但对输入变量的数量不敏感.     

八角茴香与其伪品莽草的红外光谱三级鉴定研究

采用红外光谱三级鉴定的方法区分和鉴别了八角茴香及其伪品莽草。红外光谱三级鉴定即依次采用一维红外光谱、二阶导数谱和二维相关红外光谱,分辨率逐渐提高,谱图的差别也进一步放大。一维谱图中,两者整体峰形比较相似,但在3 400 cm-1附近八角茴香只出现一个特征峰3 392 cm-1,而莽草则出现3 482和3 387 cm-1两个特征峰。二阶导数谱在850～1 180 cm-1波段八角茴香的几个强峰峰强相对比较接近,其中1 015 cm-1为图中最强峰,而莽草的最强峰在1 070 cm-1附近;在1 180～1 500 cm-1波段八角茴香在1 469,1 454,1 442 cm-1附近的３个特征峰峰强明显强于1 292,1 276,1 266 cm-1附近的特征峰,而莽草则刚好相反。二维相关红外光谱中差异更明显,850～1 165 cm-1波段八角茴香在主对角线上的自动峰较强峰出现在1 153和1 000 cm-1,而莽草峰强较强的自动峰出现在911和878 cm-1;1 165～1 500 cm-1波段八角茴香呈现2个自动峰,而莽草则出现5个自动峰。可见红外三级鉴定方法是一种快速有效的鉴定中药材的方法。     

Stochastic response of van der Pol oscillator with two kinds of fractional derivatives under Gaussian white noise excitation

This paper aims to investigate the stochastic response of the van der Pol(VDP) oscillator with two kinds of fractional derivatives under Gaussian white noise excitation.First,the fractional VDP oscillator is replaced by an equivalent VDP oscillator without fractional derivative terms by using the generalized harmonic balance technique.Then,the stochastic averaging method is applied to the equivalent VDP oscillator to obtain the analytical solution.Finally,the analytical solutions are validated by numerical results from the Monte Carlo simulation of the original fractional VDP oscillator.The numerical results not only demonstrate the accuracy of the proposed approach but also show that the fractional order,the fractional coefficient and the intensity of Gaussian white noise play important roles in the responses of the fractional VDP oscillator.An interesting phenomenon we found is that the effects of the fractional order of two kinds of fractional derivative items on the fractional stochastic systems are totally contrary.     

Fractional cyclic integrals and Routh equations of fractional Lagrange system with combined Caputo derivatives

In this paper, we develop a fractional cyclic integral and a Routh equation for fractional Lagrange system defined in terms of fractional Caputo derivatives. The fractional Hamilton principle and the fractional Lagrange equations of the system are obtained under a combined Caputo derivative. Furthermore, the fractional cyclic integrals based on the Lagrange equations are studied and the associated Routh equations of the system are presented. Finally, two examples are given to show the applications of the results.     

导数同步荧光光谱对不同产区熟地黄的鉴别

实验测定了不同产区熟地黄的三维同步荧光光谱,提取其特征参数,发现不同产区熟地黄的有效荧光成分相似,并建立了谱-效关系,为临床用药剂量提供参考。进一步,对不同产区熟地黄的同步荧光发射光谱分别求一阶导数和二阶导数,放大了同步荧光发射谱的肩带,可区分光谱的细微变化,建立了鉴别不同产区熟地黄的导数同步荧光光谱方法。     

Fractional differential equations of motion in terms of combined Riemann—Liouville derivatives

In this paper,we focus on studying the fractional variational principle and the differential equations of motion for a fractional mechanical system.A combined Riemann-Liouville fractional derivative operator is defined,and a fractional Hamilton principle under this definition is established.The fractional Lagrange equations and the fractional Hamilton canonical equations are derived from the fractional Hamilton principle.A number of special cases are given,showing the universality of our conclusions.At the end of the paper,an example is given to illustrate the application of the results.     

傅里叶红外光谱法鉴别部分胡椒属生药的研究

利用共有峰率和变异峰率双指标,以胡椒属七种药用植物的红外指纹图谱为依据,计算出所测样品的共有峰率和变异峰率。建立了胡椒属七种药用植物共有峰率和变异峰率双指标序列,结果揭示了胡椒属七种药用植物的亲缘关系。中药海风藤与石南藤、大叶蒟根茎的共有峰率均在77%以上,变异峰率均在30%以下,此三种胡椒属药用植物亲缘关系较近;海风藤与胡椒根茎、十八症根的共有峰率在61%左右,亲缘关系稍远;海风藤与蒌叶根茎的共有峰率仅为44%。亲缘关系较远。利用红外二阶导数谱图,可以鉴别中药海风藤及其伪品石南藤、十八症根、大叶蒟根茎、胡椒根茎等品种。傅里叶红外光谱法可以对样品进行无损处理,不需要对药材进行复杂的提取分离过程即可提供化合物的官能团、类别、氢键等信息。该法能从整体水平分析谱图特征峰,具有分析速度快,重现性好,非破坏性和样品量小,制样简单,专属性强,节约成本,保护环境等优点。可以解决中药海风藤因资源短缺,伪品较多,鉴别困难等问题,也可为临床用药的安全、有效提供保障。傅里叶红外光谱法为胡椒属药用植物亲缘关系的探讨和真伪鉴别提供了一种新方法。符合中药向综合分析和整体分析发展的趋势。     

Molecular dynamics simulations of pure methane and carbon dioxide hydrates: lattice constants and derivative properties

ABSTRACT

We report extensive molecular dynamics simulation results of pure methane and carbon dioxide hydrates at pressure and temperature conditions that are of interest to various practical applications. We focus on the calculation of the lattice constants of the two pure hydrates and their dependence on pressure and temperature. The calculated lattice constants are correlated using second order polynomials which are functions of either temperature or pressure. Finally, the obtained correlations are used in order to calculate two derivative properties, namely the isothermal compressibility and the isobaric thermal expansion coefficient. The current simulation results are also compared against reported experimental measurements and other simulation studies and good agreement is found for the case of isothermal compressibility. On the other hand, for the case of isobaric thermal expansion coefficient good agreement is found only with other simulation studies, while the simulation studies are in disagreement with experiments, particularly at low temperatures.     

Simultaneous Determination of Acetylsalicylic Acid and Caffeine in Pharmaceutical Formulation by First Derivative Synchronous Fluorimetric Method

A sensitive, rapid, and specific assay has been developed for the simultaneous determination of acetylsalicylic acid and caffeine in commercial tablets based on their natural fluorescence. The mixture of these drugs was resolved by first derivative synchronous fluorimetric technique using two scans. At Δλ=106 nm, using first derivative synchronous scanning, only acetylsalicylic acid yields a detectable signal at 316 nm (peak to zero method) which is unaffected by caffeine. At Δλ=30 nm, the signal of caffeine at 288 nm (peak to zero method) is not affected by acetylsalicylic acid. The range of application is between 0.021 and 41.62 μg ml⁻¹ (correlation coefficient, R=0.9995) for acetylsalicylic acid and between 0.4486 and 44.86 μg ml⁻¹ (correlation coefficient, R=0.99786) for caffeine. The recovery range of 98.40–102% for acetylsalicylic acid and 90–100.5% for caffeine from their synthetic mixture was reported. Overall recovery of both compounds about 97–99% for acetylsalicylic acid and 97–98% for caffeine was obtained from real sample analysis. The detection limits are 0.0013 μg ml⁻¹ and 0.0306 μg ml⁻¹ for acetylsalicylic acid and caffeine, respectively. The relative standard deviation (n=10) for 20 μg ml⁻¹ of acetylsalicylic acid is 2.75% and for 2.2 μg ml⁻¹of caffeine is 1.7%.