A note on differentiability of the cluster density for independent percolation in high dimensions

The cluster density function of independent percolation in ad-dimensional lattice is considered. For eachn, it is shown that(p) has finitenth leftderivative at critical probabilityp _c ifd is sufficiently large. This result agrees with the Bethe lattice approximation, where thenth one-sided derivative of(p) is bounded atp _c for alln.     

Transference numbers for ultra concentrated solutions of aqueous hydrochloric acid at 25°C

Transference numbers of HCl(aq) solutions at 25°C, from 0.01 to 13.6 mol-kg^–1(m) have been obtained by measuring the emf of cells with transference using hydrogen gas/platinum electrodes. Good agreement is obtained at concentrations up to 1 m with all previous data, and our results strongly corroborate those of King and Spiro over the 2–8m concentration range. The transference numbers of the hydronium ion fit the empirical equation, _H ^HCl = 0.821 + 0.0457m ^1/2 – 2.476×10^–2m – 1.90×10^–4 m ² – 1.45×10^–5 m ³ the maximum deviation in T _H ^HCl being 0.003.     

A bound on the number of bound states in the Schrödinger equation

A boundS _l is given for the number of bound statesn _i in thelth partial wave corresponding to a spherically symmetric potential in non-relativistic quantum mechanics. This bound is given by whereV _a(l, r) is the attractive part of the effective potentialV(r)+l(l+1)/r ². Extensive comparative study ofS _i and the Bargmann inequality is made.     

Picture Fuzzy Threshold Graphs with Application in Medicine Replenishment

In this study, a novel concept of picture fuzzy threshold graph (PFTG) is introduced. It has been shown that PFTGs are free from alternating 4-cycle and it can be constructed by repeatedly adding a dominating or an isolated node. Several properties about PFTGs are discussed and obtained the results that every picture fuzzy graph (PFG) is equivalent to a PFTG under certain conditions. Also, the underlying crisp graph (UCG) of PFTG is a split graph (SG), and conversely, a given SG can be applied to constitute a PFTG. A PFTG can be decomposed in a unique way and it generates three distinct fuzzy threshold graphs (FTGs). Furthermore, two important parameters i.e., picture fuzzy (PF) threshold dimension (TD) and PF partition number (PN) of PFGs are defined. Several properties on TD and PN have also been discussed. Lastly, an application of these developed results are presented in controlling medicine resources.     

桑蚕种良卵率调查中样本间卵粒数的偏差控制方法

桑蚕种良卵率是蚕种质量检验的重要指标,控制样本间卵粒数的偏差是保证良卵率准确性的关键。通过对桑蚕卵粒重的调查分析,得出其分布服从正态分布。若从一批蚕种中抽取1g卵作为样本,则来自同一总体的2个样本的卵粒数之差不超过16粒,其置信概率为95%;当置信概率取99%时,两个样本的卵粒数之差不超过21粒。文章为蚕业生产提供了一种实用的克卵粒数偏差控制方法。     

复数星图与单路的多染色拉姆齐数

对给定的简单图$H_1,H_2,\ldots,H_c$, 我们将使完全图$K_n$的任意边分解$\{G_i\}^c_{i=1}$都存在至少一个$G_i$有子图同构于$H_i$的最小正整数$n$称为多染色拉姆齐数 $R(H_1,H_2,\ldots,$ $H_c)$. 对正整数$m,n_1,n_2,\ldots,n_c$, 令$\Sigma=\sum_{i=1}^{c}(n_i-1)$. 在文献中,我们已经获得了$R(K_{1,n_1},\ldots,K_{1,n_c},P_m)$ 的一些界和精确值.Wang推测若$\Sigma\not\equiv 0\pmod{m-1}$且$\Sigma+1\ge (m-3)^2$, 则有$R(K_{1,n_1},\ldots, K_{1,n_c}, P_m)=\Sigma+m-1.$ 本文中, 我们给出了一个新的下界并给出$R(K_{1,n_1},\ldots,K_{1,n_c},P_m)$在$m\leq\Sigma$, $\Sigma\equiv k\pmod{m-1}$且$2\leq k \leq m-2$情况下的部分精确值. 这些结果部分证实了Wang的猜想.     

光传输网规划中光缆芯数及光纤类型确定的影响因素

光传输网是电信网的基础,由于光缆线路系统的特殊性,决定了光传输网规划中光缆芯数及光纤类型的确定尤其重要。     

自适应估计信号个数的频谱信号提取算法

无线电监测频谱数据中包含有大量的信号,准确提取这些信号有利于掌握全频段的频谱使用情况。实际信号的频谱由于受噪声干扰,会出现信号频带内个别频点能量值低于检测门限的情况,此时传统的门限检测算法会将该信号错估为多个信号,产生多个虚假的相邻信号间隔,导致频谱信号提取的准确率下降。对此,根据虚假相邻信号间隔特点,提出一种自适应估计信号个数的频谱信号提取算法,该算法可自动、准确估计频谱监测数据中电磁信号的个数,并将对应的信号及频谱信息提取出来。实验结果表明,该方法具有自适应性、强鲁棒性和高准确性,有效提高了频谱信号提取的准确率,为军、民电磁环境的识别与掌握提供基础的电磁信号数据支撑。     

印制电路板应变测量用应变片选用方法研究

应变测量由于它的众多优点在电子产品可靠性领域的应用越来越广泛,但电阻应变片的类型繁多,功能各异,以至于使用者很难找到满足自己测试目的和测试环境的应变片。文章提出的选用方法从应变片种类、敏感栅材料、基底材料、电阻值、尺寸、敏感栅结构型式和测试量境温度等方面,综合考虑并结合生产商的应变片型号编码系统,可以快捷地找到适合的印制电路板应变测量用应变片,同时针对绝大多数电子制造商不具备专业应变片检定设备的现实,介绍了一套简单可行的应变片检定工具,并通过两个实例证明该检定方法的可行性。     

减少迷宫密封泄漏量的分析、设计与试验

通过迷宫密封泄漏量的计算,阐述了影响泄漏量的因素。分别对三种特性因素:密封齿形、节流间隙和节流口数进行分析。结果表明,圆形齿产生的泄漏量较大,尽量避免使用;节流间隙与泄漏量呈线性关系,取较小值密封效果较好;节流口数越多,泄漏量越小,但是随着节流口数增多,节流效果增加越不明显,并且经济成本较高,设计时需合理选用节流口数。试验也验证了光电转台迷宫密封满足工程应用要求。