Pseudo almost periodic solutions for the systems of differential equations with piecewise constant argument [t]

In this paper, we investigate the existence and uniqueness of new almost periodic type solutions, so-called pseudo almost periodic solutions for the systems of differential equations with piecewise constant argument by means of introducing the notion of pseudo almost periodic vector sequences     

一般化凸空间上极大极小不等式及其应用

我们首先改进了已有的KKM型定理,然后根据改进后的KKM型定理得到了一般化凸空间上的KyFan型极大极小不等式,最后利用它给出了Fan-Kneser型不等式族及其一些应用.我们的结论对文献中的相应结果进行了改进和一般化。     

带逐段常变量的非线性双曲微分方程的伪概周期解

In this paper,we investigate the pseudo almost periodicity of the unique bounded solution for a nonlinear hyperbolic equation with piecewise constant argument.The equation under consideration is a mathematical model for the dynamics of gas absorption.     

PSEUDO ALMOST PERIODIC SOLUTIONS OF DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENT

51.IntroductionDifferentialequationswithpiecewiseconstantarguments(DEPCA)candescribehybriddynandcalsystemsandthereforecombinepropertiesofbothdtherentialequationsanddifferenceeqllations.Theyhaveapplicationsincertainbiomedicalmodels[1].In[2,3]andthereferencesthereintherehavebeenalotofresultsconcerningDEPCA.Nevertheless,allofthemdealtwiththestabilityperiodicity,andoscillationetc-ofsolutionsofDEPCA.Re-cently,[4]disscusedtheetistenceofalInostperiodicsolutionsofDEPCA.Inthispaper,wedefineps…     

依赖于时间和强度耦合J-C模型中原子偶极压缩特性

研究了依赖于时间和强度耦合J-C模型中原子的偶极压缩现象。并详细讨论了原子与腔场以时间脉冲形式耦合时,脉冲宽度和腔场强度对原子算符压缩的影响。结果表明,在此模型下原子的偶极压缩随时间的演化特性与其他强度耦合模型明显不同,而且可以通过调节脉冲宽度有效控制原子的偶极压缩程度。     

高光谱分析叶菜对颗粒物污染的响应特征规律

大气中的颗粒物不仅影响人类生活,还影响植物的光合作用、生长发育和产量品质。实现了颗粒物污染环境的人工模拟,并对采收期的小白菜、生菜、小油菜三种叶菜进行颗粒物作用试验,获取叶片的光合生理信息和高光谱数据,基于高光谱技术和植物表型分析叶菜对颗粒物的响应机理,研究叶菜的光合特性和光谱特征对颗粒物污染的响应情况。结果表明：以颗粒物作为唯一差别条件下,三种叶菜叶片的高光谱曲线整体趋势相同,在可见光波段内试验组反射率增加最大,红边位置发生蓝移,小油菜对颗粒物的作用最敏感,小白菜吸附颗粒物的能力最强。分别比较三种叶菜的净光合速率与叶片原始光谱、一阶导数光谱的相关性,利用相关分析法提取三种叶菜的敏感波段,用原始光谱、FD、MSC和相关分析法提取特征波长;比较10个高光谱特征参数及4个植被指数与净光合速率的相关系数,选出敏感光谱特征参数和植被指数,即生菜的Dr,SDr,SDr/SDb和SDr/Sdy,小白菜的SDr,Dy,NIRRP,(SDr-SDy)/(SDr+SDy)以及小油菜的λr,SDy,(SDr-SDy)/(SDr+SDy)。用ln对数运算、多项式函数以及几种组合方法建立三种叶菜叶片的净光合速率定量反演模型,其中,预处理方法采用SG,FD,SD和MSC,建模方法采用CLS,PLS,PCR和SMLR。以相关系数为模型评价指标,最终确定FD+SG+PLS方法是建立生菜和小白菜净光合速率反演模型的最优方法,FD+SG+MSC+SMLR方法是建立小油菜净光合速率反演模型的最优方法。所建模型可为今后颗粒物污染环境下的模型修正提供参考,具有实用性。研究结果为利用高光谱技术研究叶菜类蔬菜在颗粒物污染环境下的诊断与分析提供理论依据,为设施农业蔬菜的病害预警、生理信息监测、设施环境的净化和管控提供新思路。     

Hartree–Fock and density functional theory study of remote substituent effects on gas‐phase heterolytic Fe–O and Fe–S bond energies of p‐G‐C6H4OFe(CO)2(η5‐C5H5) and p‐G‐C6H4SFe(CO)2(η5‐C5H5)

The knowledge of accurate bond strengths is a fundamental basis for a proper analysis of chemical reaction mechanisms. Quantum chemical calculations at different levels of theory have been used to investigate heterolytic Fe–O and Fe–S bond energies of para‐substituted phenoxydicarbonyl(η⁵‐cyclopentadienyl) iron [p‐G‐C₆H₄O(η⁵‐C₅H₅)Fe(CO)₂, abbreviated as p‐G‐C₆H₄OFp ( 1 ), where G = NO₂, CN, COMe, CO₂Me, CF₃, Br, Cl, F, H, Me, MeO, and NMe₂] and para‐substituted benzenethiolatodicarbonyl(η⁵‐cyclopentadienyl) iron [p‐G‐C₆H₄S(η⁵‐C₅H₅)Fe(CO)₂, abbreviated as p‐G‐C₆H₄SFp ( 2 )] complexes. The results show that BP86 and TPSSTPSS can provide the best price/performance ratio and more accurate predictions in the study of ΔH_het(Fe–O)'s and ΔH_het(Fe–S)'s. The excellent linear free‐energy relations [r = 0.99 (g, 1a), 1.00 (g, 2b)] among the ΔΔH_het (Fe–O)'s and Δpk_a's of O–H bonds of p‐G‐C₆H₄OH or ΔΔH_het(Fe‐S)'s and Δpk_a's of S–H bonds of p‐G‐C₆H₄SH imply that the governing structural factors for these bond scissions are similar. And the linear correlations [r = ?0.99 (g, 1g), ?0.98 (g, 2h)] among the ΔΔH_het (Fe‐O)'s or ΔΔH_het(Fe‐S)'s and the substituent σ_p^? constants show that these correlations are in accordance with Hammett linear free‐energy relationships. The polar effects of these substituents and the basis set effects influence the accuracy of ΔH_het(Fe–O)'s or ΔH_het(Fe–S)'s. ΔΔH_het(Fe–O)'s(g) ( 1 ) and ΔΔH_het(Fe–S)'s(g)( 2 ) follow the Capto‐dative principle. The substituent effects on the Fe–O bonds are much stronger than those on the less polar Fe–S bonds. Insight from this work may help the design of more effective catalytic processes. Copyright © 2013 John Wiley & Sons, Ltd.     

山豆根不同部位化学成分的FTIR表征比较与分析

采用傅里叶变换红外光谱结合二阶导数谱法分析了山豆根不同部位化学成分的红外光谱特征及其差异.结果表明,山豆根根、茎、叶均含有生物碱、黄酮、皂苷、蛋白质、多糖等化学成分,但其含量在不同部位存在一定差异,叶中蛋白质和黄酮含量高于根和茎,而皂苷和多糖含量则低于根和茎.可见红外光谱结合二阶导数谱法为山豆根不同部位化学成分及含量的研究提供了一种快速、全面的分析方法.     

Kalman滤波法在电感耦合等离子体原子发射光谱分析中的应用 Ⅰ．测定高纯氧化铥中的14种稀土杂质

本文研究了电感耦合等离子体原子发射光谱分析Ｋａｌｍａｎ滤波法测定高纯氧化铥中的１４种其他稀土杂质的方法。Ｋａｌｍａｎ滤波法有效地消除光谱干扰，可利用受干扰的光谱灵敏线，因而可提高灵敏度，是一种在大量基体存在下测定痕量杂质的有效方法。     

Kalman滤波法在电感耦合等离子体原子发射光谱分析中的应用──Ⅱ．测定高纯氧化铕中的14种稀土杂质

本文研究了电感耦合等离子体原子发射光谱分析Ｋａｌｍａｎ滤波法测定高纯氧化铕中的１４种其他稀土杂质的方法。Ｋａｌｍａｎ滤波法有效地消除光谱干扰，可利用受干扰的光谱灵敏线，因而可提高灵敏度，是一种在大量基体存在下测定痕量杂质的有效方法。