Conformal analysis of fundamental frequency of vibration of simple-supported elastic ellipse-plates with concentrated substance

Aimed at calculating the fundamental frequency of vibration of special-shaped, simple-supported elasticplates, Conformal Mapping theory is applied, and the mathematical method of trigonometric interpolation with interpolation points mutual iterative between odd and even sequences in boundary region is provided, as well as the conformal mapping function which can be described by real number region between complicated region and unit dish region is carried out. Furthermore, in the in-plane state of constant stress, vibrating function is completed by unit dish region method for simple-supported elastic plates with concentrated substance of complicated vibrating region, and the coefficient of fundamental frequency of the plate is analyzed. Meanwhile, taking simple-supported elastic ellipseplates as an example, the effects on fundamental frequency caused by eccentric ratio, the coefficient of constant inplane stress, as well as the concentrated substance mass and positions are analyzed respectively.     

Dirichlet L-函数倒数的一次加权均值

利用Kloostermann和定义、特征和的性质及其解析方法研究了Dirichlet L-函数倒数的一次加权均值分布,得到一个有趣的一次加权均值公式.     

关于实数域上矩阵的相似标准形

利用向量空间的模结构分解，讨论了实数域上矩阵的相似标准形，得到了矩阵的两种新的相似标准形，并运用此方法给出了实数域上矩阵Jordan规范形的另一证明。     

川味冷菜复合调味汁及其香辛料抑菌作用的研究

通过对红油味、姜汁味、蒜泥味３种川味冷菜复合调味汁抑菌作用的研究,发现各调味汁中所用的香辛料不同,对原料自身所携带的微生物及试验中选用的２种肠道病原菌的抑制程度各异。其中蒜泥味的抑菌作用最强,姜汁味次之,红油味几乎无抑菌能力。并揭示了配制冷莱复合调味汁时的用油量与调味汁的抑菌程度呈反比关系,为烹饪工艺科学化提供了一定的理论指导。     

伪正交变换的特征值

本文首先指出文献［１］中的二个例题是错的,接着探讨了产生这错误的原因,进而给出并证明了相应的二个正确例题。     

最优样本子集与和极大似然估计

将观测样本看成随机变量总体的一个子集，使这个子集发生的概率最大，从而导出了和极大似然估计原理，根据这一原理得到的估值具有最小估值偏差，比最小二乘估值的准确度高；当样本容量趋于无穷大时，估值必然地收敛于它的真值；天然地具有抗差性。     

计算机在无交互作用的双因素方差分析中的应用

中用Ｔｕｒｅ－Ｂａｓｉｃ语言编写了完成无交作用的双因素方差分析的程序。     

伞的细分图J*n的和数

伞是在轮Wn=Cn∨K1的轴K1上悬挂一条边cb(叫柄)所成的图.图G的和数σ(G)就是使得图G∪nK1是和图的非负整数n的最小值.证明了当n 2时,σ(Jn*)2.     

和式的Stolz估计法

本文应用Ｓｔｏｌｚ定理，给出了和式的一种估计方法，作为例子，对（Ｐ＞０）的估计进行了较为细致的讨论．     

An observer‐based controller for a class of polynomial fuzzy systems with disturbance

In this paper, a new observer‐based controller for a class of polynomial fuzzy systems with disturbance is proposed. First, by some appropriate equivalence transformation of the polynomial fuzzy model, the first output‐sized states can be obtained directly from the output, which eventually enables us to obtain the feedback control gain and observer‐related parameters together without considering the so‐called separation principle. Second, with the disturbance in mind, a PI‐type observer is suggested. Finally, the sum of squares for the stability of the closed‐loop observer‐based control system is provided. © 2015 Institute of Electrical Engineers of Japan. Published by John Wiley & Sons, Inc.