Local continuity modulus for wiener and infinite dimensional OU processes

In this paper, we gave a proof for the local continuity modulus theorem of the Wiener process, i.e., $$\mathop {\lim }\limits_{t \to 0} \mathop {\sup }\limits_{0 \leqslant s \leqslant t} |W(s)|/(2s\log \log (1/s))^{1/2} = 1$$ a.s. This result was given by Csörgö and Révész (1981), but the proof gets them nowhere. We also gave a similar local continuity modulus result for the infinite dimensional OU processes.     

直梁的特征值反问题及飞机空速管的振动设计

本文根据直梁有限元模型的特点将特征方程KX=λMX中K、M矩阵表为若干结构参数的函数,即K=K(p_1,p_2,…p_m),M=M(q_1q,q_2,…q_m).从而导出以结构参数为未知量的逆特征方程,并分析了可解的条件及结构参数对特征数据的敏感性等问题.     

在实验模态分析中如何消除附加质量附加刚度对实模态参数的影响

本文讨论了在实验模态分析中如何消除附加质量和附加刚度对实模态参数影响的方法.为了验证方法的有效性,文中给出了算例和实际应用的例子.文末还讨论了输入数据的误差和输入模态的阶数对结果的影响.     

具收获项的Ⅱ类功能反应的捕-食系统的定性分析Ⅱ

在文[7][8]的基础上，分析一类食饵具常数收获项的Ⅱ类功能反应的捕食系统．通过对两鞍点分界线相互位置仔细的分析，得到了比较完备的定性结论，特别是第一次在生态系统的讨论中得到了三个极限环的存在性．     

一类混合过程的弱收敛

设{ξ_n}是强平稳序列,Eξ_1=0,Eξ_1~2<∞,记F_a~b是由{ξ_n:a≤n≤b}所生成的o域.称强平稳序列{ξ_n}满足(?)混合条件,若对任给正整数n,A∈F_(-∞)~k,B∈F_(k n,)~∞,成立着     

WEAK CONVERGENCE OF EMPIRICAL PROCESSES OF SEQUENCES OF STATIONARY RANDOM VARIABLES

In this paper, the author improves Yoshihara''s result(J.Multivariate Anal. 8(1978),584-588) and proves the weak convergence of empirical processes for sequence of p-mixing strictly stationary random variable with $\[\rho (n) = O({n^{ - \frac{1}{2} - \theta }}),\theta > 0\]$. Moreover, the author simplifies the complex proof of weak convergence of empirical processes wwith random index and gets the corresponding result for $\[\alpha \]$-mixing stationary random variables.     

Hadamard''s Principal Value of the Singular Integral

In this paper we consider the Hadamard’s principal value for the singular integral $\[\int_L {\frac{{f(\tau )}}{{{{(\tau - t)}^{n + 1}}}}} d\tau \]$, where L is a smooth curve on the complex plane, t is any point on L, but it is not the end point of L, n is a non-negative integer. We obtain the following result:     

Thickening and Associating Behavior in Aqueous Solutions of a Terpolymer with Poly(ethylene oxide) Side Chains

A water-soluble terpolymer (PAVA) was synthesized by aqueous free radical copolymerization technique using acrylamide(AM), sodium 2-acrylamido-2-methylpropane-sulphonate (NaAMPS) and a macromonomer: p-vinylbenzyl-terminated octylphenoxy poly(ethylene oxide) (VPEO, degree of polymerization: 10). The remarkable intermolecular hydrophobic associations were formed in water and a brine solution for this polymer, which resulted in a good thickening effect, resistance to salt and salt-thickening. The hydrophobically associating microstructures of PAVA in aqueous solutions were measured by the fluorescent probe and scanning electron microscope. As polymer concentration was increased in water and brine solutions, the associating strength and non-polarity of hydrophobic microdomains increased remarkably. However, at the polymer concentrations higher than 0.20 g/dL, the non-polarity of hydrophobic microdomains tended to remain constant, and the I ₁/I ₃ value changed slightly in 0.5 g/dL NaCl. The continuous associating structures were formed by the expanded polymer chains in brine solutions, as well as in water. As the NaCl concentration increased, the non-polarity of associating microstructures increased slowly, but the compact degree of these microstructures increased.     

Comparison of Different Extraction Processes on the Physicochemical Properties,Nutritional Components and Antioxidant Ability of Xanthoceras sorbifolia Bunge Kernel Oil

In this study, we investigated and compared the oil yield, physicochemical properties, fatty acid composition, nutrient content, and antioxidant ability of Xanthoceras sorbifolia Bunge (X. sorbifolia) kernel oils obtained by cold-pressing (CP), hexane extraction (HE), aqueous enzymatic extraction (AEE), and supercritical fluid extraction (SFE). The results indicated that X. sorbifolia oil contained a high percentage of monounsaturated fatty acids (49.31–50.38%), especially oleic acid (30.73–30.98%) and nervonic acid (2.73–3.09%) and that the extraction methods had little effect on the composition and content of fatty acids. X. sorbifolia oil is an excellent source of nervonic acid. Additionally, the HE method resulted in the highest oil yield (98.04%), oxidation stability index (9.20 h), tocopherol content (530.15 mg/kg) and sterol content (2104.07 mg/kg). The DPPH scavenging activity rates of the oil produced by SFE was the highest. Considering the health and nutritional value of oils, HE is a promising method for X. sorbifolia oil processing. According to multiple linear regression analysis, the antioxidant capacity of the oil was negatively correlated with sterol and stearic acid content and positively correlated with linoleic acid, arachidic acid and polyunsaturated fatty acid content. This information is important for improving the nutritional value and industrial production of X. sorbifolia.