奇点理论的应用研究

运用拟齐次函数的性质,对一类解析函数正规型的证明给出一个初等的方法.     

Kaup-Kupershmidt方程的精确行波解

利用扩展tanh函数法研究了Kaup-Kupershmidt方程的精确行波解,得到了该方程不同类型的显式行波解,包括孤立波解、指数函数解和三角函数周期解。利用Maple软件绘制了所得解在具体参数值下的3D图和2D图,并对解的性态进行分析得出了相应解的类型。     

微量元素硒的微生物转化研究进展

介绍微量元素硒的生物学功能,通过阐述利用微生物的特殊生物转化能力进行硒的微生物转化的现状和发展趋势,提出从高硒地区筛选野生富硒食用蕈菌资源,开展微生物的硒富集规律,并进行硒的微生物转化的研究方向.     

家庭工作界面因素对情绪劳动的影响机制

为了研究服务型员工的家庭因素对其工作表现的影响,通过三个阶段的问卷调研,并运用SPSS和AMOS分析工具对调研结果进行分析.结果表明:服务员工家庭工作冲突会抑制情绪劳动中深层表演与真实表达;家庭工作增益会促进情绪劳动中深层表演与真实表达;家庭工作冲突对表层表演的正向影响会随着家庭工作平衡的增强而减弱;家庭工作增益对表层表演的负向影响、对深层表演的正向影响会随着家庭工作平衡的增强而增强.     

浅析克拉佩龙方程的应用

根据克拉佩龙方程式分析了纯物质的任意两相处于平衡状态时压力p随温度T的变化规律,以及在不同条件下克拉佩龙方程的具体应用.     

Asymptotic expansions of Kummer hypergeometric functions with three asymptotic parameters a,b and z

In a recent paper (Temme, 2021) new asymptotic expansions are given for the Kummer functions $M(a,b,z)$ and $U(a,b+1,z)$ for large positive values of $a$ and $b$, with $z$ fixed and special attention for the case $a～b$. In this paper we extend the approach and also accept large values of $z$. The new expansions are valid when at least one of the parameters $a$, $b$, or $z$ is large. We provide numerical tables to show the performance of the expansions.     

Optimal uniform approximation on angles by entire functions

The paper discusses the best or optimal uniform approximation problem by entire functions on a closed angle Δ. This problem has been studied by M.V. Keldysch in [4], under the assumption that the functions ? subject to approximation are holomorphic in a larger angle containing Δ and there is no restriction on the growth of ? at infinity. In [8], the problem was investigated for a wider class of functions ? continuously complex differentiable on Δ, with sharper estimates on the growth of approximating entire functions, linked with the growth of ? on Δ and the differential properties of ? on the boundary of Δ. In this paper, we improve some of the results on entire approximation on angles, using new approximation ideas partially presented in [9] and [10].     

Trace formulas for additive and non-additive perturbations

Trace formulas for pairs of self-adjoint, maximal dissipative and accumulative as well as other types of resolvent comparable operators are obtained. In particular, the existence of a complex-valued spectral shift function for a pair {H^′,H}$\{H^{\prime },H\}$ of maximal accumulative operators has been proved. We investigate also the existence of a real-valued spectral shift function. Moreover, we treat in detail the case of additive trace class perturbations. Assuming that H   and H^′=H+V$H^{\prime }=H+V$ are maximal accumulative and V is trace class, we prove the existence of a summable   complex-valued spectral shift function. We also obtain trace formulas for pairs {H,H^?}$\{H,H^{?}\}$assuming only that H and  H^?$H^{?}$are resolvent comparable. In this case the determinant of the characteristic function of H is involved in trace formulas.     

Relevance between the Chemical Structure Modifications and Physicochemical Descriptors of Chemical Reactivity for Series of Nitroxide Radicals

This work presents an experimental and theoretical study to address the chemical reactivity of series of nitroxide radicals. For that purpose two physicochemical properties: the half-wave potential and the hyperfine coupling constants of the nitrogen nuclei, were analyzed. Experimental values are compared with electronic structure calculations at the BHandHLYP/6-311++G(2d,2p) level. E_1/2 values were in good agreement with the adiabatic ionization potential when including the solvent effects by the Cramer and Truhlar Solvation Model. Preeliminar experimental electron spin deslocalization studies suggest that structural hindrance plays an important role in their deslocatization mechanism.     

基于恒等变换的单摆振动解析逼近

应用修正的谐波平衡法构造了单摆大幅振动的解析逼近周期和周期解.通过引入三角变换或反三角变换将单摆振动方程恒等变形为关于新变量的Duffing方程或其他易于处理的非线性振动方程,利用牛顿谐波平衡法构造了单摆振动的解析逼近解.给出的解析逼近周期及周期解简单易用,几乎在振幅(初始摆角)的全部取值范围内,都有很高的逼近精度.