二项指数和四次混合均值的计算

本文研究了二项指数和四次均值的计算问题.利用初等数论及代数数论的方法获得了一个精确的计算公式以及一个转换公式,推广了已有的结果,揭示了均值计算与同余方程组的本质联系.     

求解一维定常对流扩散反应方程的混合型紧致差分格式

借助显式紧致格式和隐式紧致格式的思想,基于截断误差余项修正,并结合原方程本身,构造出了一种求解一维定常对流扩散反应方程的高精度混合型紧致差分格式.格式仅用到三个点上的未知函数值及一阶导数值,而一阶导数值利用四阶Pade格式进行计算,格式整体具有四阶精度.数值实验结果验证了格式的精确性和可靠性.     

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We extend the instrumental variable method for the mean regression models to linear quantile regression models with errors-in-variables. The proposed estimator is consistent and asymptotically normally distributed under some fairly general conditions. Moreover, this approach is practical and easy to implement. Simulation studies show that the finite sample performance of the estimator is satisfactory. The method is applied to a real data study of education and wages.     

天然气稳态运行优化的混合整数模型及其算法

天然气稳态运行优化问题的难点在于网络结构复杂、规模大、目标函数及约束高度非线性.针对其混合整数非线性规划模型,基于网络约简和线性化技术,建立了线性近似模型,并提出一种新的求解算法.将新算法用于优化我国西部天然气管网系统,结果表明所提算法是有效的.     

2-距离空间中平方型压缩映象的一个新的耦合公共不动点定理

在2-距离空间的框架下, 利用映象对的ω-相容性条件, 建立了一类新的平方型压缩条件, 讨论了此类映象耦合公共不动点的存在性和唯一性.证明了一个新的耦合公共不动点定理, 也提供了一个有效的例子来支持该文的新结果.该文的结果改善了之前文献中的相关结果.     

NA随机变量阵列的完全矩收敛性

利用NA随机变量的矩不等式和截尾方法,研究了NA随机变量阵列的完全矩收敛性,给出了证明NA随机变量阵列完全矩收敛性的一些充分条件.所得结果推广了已有文献关于NA随机变量的相应结果.     

A Generalized Schwarz Lemma

In this paper,we establish a boundary Schwarz Lemma for holomorphic mapping on the generalized complex ellipsoid in Cn.     

Kinetic Behavior of Quaternary Ammonium Hydroxides in Mixed Methane and Carbon Dioxide Hydrates

This study evaluates the kinetic hydrate inhibition (KHI) performance of four quaternary ammonium hydroxides (QAH) on mixed CH₄ + CO₂ hydrate systems. The studied QAHs are; tetraethylammonium hydroxide (TEAOH), tetrabutylammonium hydroxide (TBAOH), tetramethylammonium hydroxide (TMAOH), and tetrapropylammonium hydroxide (TPrAOH). The test was performed in a high-pressure hydrate reactor at temperatures of 274.0 K and 277.0 K, and a concentration of 1 wt.% using the isochoric cooling method. The kinetics results suggest that all the QAHs potentially delayed mixed CH₄ + CO₂ hydrates formation due to their steric hindrance abilities. The presence of QAHs reduced hydrate formation risk than the conventional hydrate inhibitor, PVP, at higher subcooling conditions. The findings indicate that increasing QAHs alkyl chain lengths increase their kinetic hydrate inhibition efficacies due to better surface adsorption abilities. QAHs with longer chain lengths have lesser amounts of solute particles to prevent hydrate formation. The outcomes of this study contribute significantly to current efforts to control gas hydrate formation in offshore petroleum pipelines.     

Color Stabilization of Apulian Red Wines through the Sequential Inoculation of Starmerella bacillaris and Saccharomyces cerevisiae

Mixed fermentation using Starmerella bacillaris and Saccharomyces cerevisiae has gained attention in recent years due to their ability to modulate the qualitative parameters of enological interest, such as the color intensity and stability of wine. In this study, three of the most important red Apulian varieties were fermented through two pure inoculations of Saccharomyces cerevisiae strains or the sequential inoculation of Saccharomyces cerevisiae after 48 h from Starmerella bacillaris. The evolution of anthocyanin profiles and chromatic characteristics were determined in the produced wines at draining off and after 18 months of bottle aging in order to assess the impact of the different fermentation protocols on the potential color stabilization and shelf-life. The chemical composition analysis showed titratable acidity and ethanol content exhibiting marked differences among wines after fermentation and aging. The 48 h inoculation delay produced wines with higher values of color intensity and color stability. This was ascribed to the increased presence of compounds, such as stable A-type vitisins and reddish/violet ethylidene-bridge flavonol-anthocyanin adducts, in the mixed fermentation. Our results proved that the sequential fermentation of Starmerella bacillaris and Saccharomyces cerevisiae could enhance the chromatic profile as well as the stability of the red wines, thus improving their organoleptic quality.     

V/P复合氧化物上C-H键活化的密度泛函研究

选择氧化催化剂通常为多组分复合氧化物.一般认为,高价过渡金属的端末双键氧(M=O)是烷烃活化的中心,而非金属端氧(NM=O)与烷烃活化无关.但近期的理论研究发现,复合氧化物中非金属端氧也可能参与烷烃活化.本文采用密度泛函方法(B3LYP)对比V=O和P=O的脱氢活性,并深入揭示二者的差异. H脱除反应可以视为是质子偶联电子传递的过程.对于V/P复合氧化物, V5+充当电子的受体,而V=O和P=O均可接受质子.由于P=O具有更强的质子化能力,导致PO–H键能比VO–H有利6–10 kcal/mol.对于烷烃活化, V=O和P=O脱氢的能垒均可与反应焓变很好地关联,但二者线性回归的截距相差6.2 kcal/mol,说明在相同的焓驱动下, P=O脱氢需要克服更高的能垒.根据Marcus模型,反应的能垒不仅取决去反应焓变,还与内部重组能有关.计算表明,在脱氢过程中, P=O需克服的重组能为128–140 kcal/mol,比V=O过程高出21–23 kcal/mol.这很好地解释了前面的计算结果.应该指出的是,除了反应热力学驱动和重组能外,在势能曲线相交处的电子耦合作用(?HAB?)亦对能量有一定的影响.丁烷选择氧化制顺酐可能经过2-丁烯,丁二烯,2,5-二氢呋喃和丁烯酸内酯等一系列中间体,共有8个H原子在反应过程中需要脱除.对于丁烷的脱氢, P=O的能垒仅比V=O低1.3 kcal/mol,说明初始反应时二者是竞争的.但对于2-丁烯和2,5-二氢呋喃,二者活化能的差距增加为6–7 kcal/mol,说明这时P=O脱氢将占主导.而对丁烯酸内酯活化,二者活化能的差异又缩小到2.5 kcal/mol,表明V=O又具有一定的竞争力.事实上,这种能垒的差异与端氧的亲核性密切相关.P=O更具亲核性,因此有利于被更具酸性的C–H键进攻.根据Evens的估计,烷烃C–H键的pKa为50左右,而烯丙基性C–H为43.这就很好地解释了为什么2-丁烯和2,5-二氢呋喃更容易和P=O发生反应,而丁烷脱氢二者差异不大的原因.这些理论研究可以加深我们对复合氧化物催化剂上活性位点的认识,并为催化剂的理性设计提供理论支撑.