A Note on the Property of ψ-Function

About the accurate value of ψ ( x ) = Γ′ ( x ) / Γ ( x), we know only ψ (1)and ψ (1/ 2).In this paper, by calculating the accurate values of some series expansion of a function and applying some skills of complex analysis, we prove that the expression of the ψ-function admits a finite expression in elementary function for rational number z. As an application, some examples are given.     

Hausdorff Measure of Linear Cantor Set

We study the Hausdorff measure of linear Cantor set E,on the unit interval,under the strong seperated condition.We give a necessary and sufficient condition for (E) =|E|^α by using the contracting ratio and the first gap.This condition is easy to use.     

Exponential inequality for a class of NOD random variables and its application

In this paper,an exponential inequality for weighted sums of identically distributed NOD (negatively orthant dependent) random variables is established,by which we obtain the almost sure convergence rate of which reaches the available one for independent random variables in terms of Berstein type inequality. As application,we obtain the relevant exponential inequality for Priestley-Chao estimator of nonparametric regression estimate under NOD samples,from which the strong consistency rate is also obtained.     

The Hilbert transform along the extended evil ladder curve

Let γ(t) be an even function extended by the evil ladder (tri-adic Cantor function) γ(t). Denote the curve Γ(t)= (t,γ(t)) ( -1≤t≤1). It is shown that the Hilbert transform along this curve Γ is bounded on L2 (R2).     

Walsh spectrum properties of rotation symmetric boolean function

Rotation symmetric function was presented by Pieprzyk. The algebraic configuration of rotation symmetric（RotS） function is special. For a Rots n variables function f（x1, x2, …, xn） we have f（ρn^k （x1, x2, …xn））=f（x1, x2, …, xn） for k=0, 1, …, n-1. In this paper, useing probability method we find that when the parameters of RotS function is under circular translation of indices, its walsh spectrum is invariant. And we prove the result is both sufficient and necessary.     

金黄色葡萄球菌细胞内生物大分子含量变化的光镊拉曼光谱研究

【目的】利用光镊拉曼光谱技术(Laser Tweezers Raman Spectroscopy,LTRS)研究金黄色葡萄球菌(Staphylococcus aureus)细胞内主要生物大分子含量的动态变化,探寻监测微生物代谢状态变化的有效工具。【方法】收集分批培养过程不同时间点金黄色葡萄球菌细胞的拉曼光谱,观察其特征峰依赖时间的变化特点。【结果】归属于核酸的特征峰,如667cm~(-1)峰,724cm~(-1)峰,781cm~(-1)峰,809cm~(-1)峰和1 574cm~(-1)峰在整个分批生长阶段持续降低,在对数生长期下降幅度尤其剧烈,反映了对数生长期细胞分裂快速,DNA复制活跃;与蛋白质相关的特征峰,如850cm~(-1)峰,1 001cm~(-1)峰和1 662cm~(-1)峰,在对数生长期显著增强,而到稳定期峰强度基本维持恒定。【结论】光镊拉曼光谱技术能实时监测生物样品内生物大分子的含量,是单细胞水平上研究微生物代谢状态变化的有效工具。     

Application of an Optical Biosensor to Study the Interaction between Porphyrins and Wheat Germ Agglutinin

0Introduction Porphyrinderivativeshavebeenusedasphotosensitizersinphotodynamictherapy(PDT),anewapproachdevel opedforthetreatmentofcancer[1].Cationwater solublepor phyrinsareofconsiderableinterestowingtotheirpossiblebio medicalapplications[2].Inwhich,theinhibiteffectonthe growthmetabolismofE.coliandcancercellHL60ofmeso tetra(4N ethylacetatepyridyl)porphyrin(H2NEAE pp)and itsZn(Ⅱ)complexform(ZnNEAE pp)havebeenrecentlyin vestigated[3,4].Toenhancetumor locationandanticancerac tivitiesofdr…     

半线性随机变延迟微分方程数值解的收敛性

应用指数Euler方法研究在全局Lipschitz条件和线性增长条件下, 半线性随机变延迟微分方程数值解的收敛性. 结果表明, 该方程数值解收敛到精确解, 并且收敛阶为1/2min{1,γ}, γ∈（0,1］.     

Spectroscopic investigation of the interaction between human serum albumins and 10-hydroxycamptothecin

The binding reaction between 10-hydroxycamptothecin (10-HCPT) and human serum albumins (HSA) is studied by means of fluorescence spectroscopy, UV-Vis absorption spectrum, 1H NMR spectrum, and molecular simulation. The results indicate that the binding reaction of 10-HCPT and HSA is a single static quenching process, and the binding equilibrium constant for 10-HCPT binding with HSA is estimated K ₀= 4.93×10⁴ L · mol⁻¹ at 25 °C with the molar ratio of 1:1. The distance (r) and energy transfer efficiency (E) between donor (HSA) and acceptor (10-HCPT) are obtained as follows, r =3.51 nm; E =0.27. The enthalpy change (ΔH ^⦵) and entropy change (ΔS ^⦵) are calculated at different temperatures, and the hydrophobic force and shidipole force are the functions in the reaction. The results show that 10-HCPT binds within the subdomain II A of HSA by the hydrophobic force, and the 10-OH and 20-OH of 10-HCPT bind with both residue Leu-238 of HSA and Ala 291 of HSA by hydrogen bonds. Biography: LI Guizhi(1962–), female, Associate professor, research direction: organic analysis.     

Minus domination number in cubic graph

An upper bound is established on the parameter Γ -(G) for a cubic graph G and two infinite families of 3-connected graphs G k, G * k are constructed to show that the bound is sharp and, moreover, the difference Γ -(G * k)-γ s(G * k) can be arbitrarily large, where Г -(G * k) and γ s(G * k) are the upper minus domination and signed domination numbers of G * k, respectively. Thus two open problems are solved.     

A Note on the Multifractal Decomposition of Directed Graph Self Similar Sets

We investigated the directed graph self similar sets under some weak overlapping condition. We get the multifractal decomposition formulas for these sets, i. e.,dim Ku^a DimKu^a =f(a), where fis the multifractal spectral function of the directed graph self similar measure. Especially, the results improve that of Edgar and Mauldin to the case which allows certain overlapping.     

Integral Points on a Class of Elliptic Curve

0 IntroductionZasegairerc[h1]fodre sbcirgibientde gsreavle rpaolin tmse tohnocdsert waihnicehlli ppetircm citur ovnese btyogiving the upper bound of solution. Unfortunately,this upperbound was verylarge andsometi mes beyondthe range of com-puter searching.For a particular elliptic curvey2=x3-30x+133(1)he mentioned he can find all integral points and the largestpoint is (x,y) =(5 143 326 ,±11 664 498 677) by using Mas-ser and W櫣stholz bounds on elliptic logarithms .Although recent results on…     

High-precision measurement of mercury isotope ratios of atmospheric deposition over the past 150 years recorded in a peat core taken from Hongyuan,Sichuan Province,China

High-precision 210Pb dating technology was applied to a peat core with a time span of about 150 years that was taken from Hongyuan, Sichuan Province, China. The concentrations of total mercury (Hg) and stable isotope compositions of mercury in the peat core were measured using a LUMEX 915 instrument and multi-collector inductively coupled plasma mass spectrometer, respectively. Total mercury (Hg) concentrations in the peat core had a clearly increasing trend from the bottom to top of the core while δ 202Hg ...     

A study of bacterial linear growth using a microcalorimetric method

By using an LKB-2277 bioactivity monitor, we have determined the thermogenesis curves of four kinds of anaerobes linear growth. From the thermogenesis curves, we established the growth thermokinetic equation: dP/dt=k _m·P ⁿ , the order of growth metabolismn=0, and calculated the mean specific rate constant of multiplication {ie95-1}. It is a new kind of bacterial growth, it was compared with exponential growth. Liu Yi: born Nov. 1970. Ph. D. Curent research interest is in biothermochemistry research Supported by the National Natural Science Foundation of China     

函数式积拓扑:和拓扑、积拓扑和点式收敛拓扑的共同推广

首先,借助和拓扑,对于离散拓扑空间X,证明了任意一族以X为指标集的拓扑空间族的积空间和相对于X的点式收敛空间相同。其次,对于某拓扑空间族的笛卡尔积和其上的任意一个拓扑,给出了该积空间到其任意坐标空间的投射连续的充要条件。最后,给出了函数式积空间的定义,并且指出这类空间可以作为积空间、和空间和函数空间(点式收敛拓扑)的共同推广。     

Sensitive Determination of DNA by RLS Enhancement of Metal Ions

0　IntroductionThequantitativeanalysisofnucleicacids,especiallythemi cro determinationofnucleicacids,isbecomingmoreandmoreimportantinmanybiologicalstudies.Recently ,apromisingspectraltechnique ,whichwasbasedonthemeasurementofen hancedresonancelightscattering (RLS) [1 ,2 ] ,hasgivenrisetostronginterestbyanalystsandbiochemistsfornucleicacidsandproteinassay[3 9] .Uptonow ,manykindscompoundshavebeenfoundRLSenhancementwhilebindingtoDNA ,andallthesecompoundsarecharacterizedofpositivechargewhicha…     

p,q-对称熵损失函数下指数分布的参数估计

用参数估计方法, 研究指数分布的刻度参数在p,q-对称熵损失函数下的最小风险同变估计(MRE)、 Bayes估计和Minimax估计, 并讨论了具有［cT+d］^-1形式的估计量当0≤c*, d>0; c=c^*, d>0时是可容许的, 当c<0或 d<0; 0*且d=0; c>c^*且d>0时是不可容许的.     

Thermodynamic determination of fragility in La-based glass-forming liquid

Differences in the thermodynamic functions between the liquid and crystalline states of La-based bulk metallic glasses alloys were calculated with the specific heat capacity Cp and the fusion heat ΔHf,which we measured. Fragility indexes having different thermodynamic definitions were calculated from the temperature dependence of excess entropy ΔSliq-cry. It is ambiguous for La-based glass-forming liquid to evaluate fragility from the intercepts of ΔSliq-cry-temperature curves. We found that the thermodynam...     

强混合序列下非参回归函数加权核估计的强收敛速度

在误差项为强混合序列的条件下,利用随机变量部分和的矩不等式,讨论非参回归函数加权核估计的强相合性,给出其收敛速度.当样本矩足够大时,强相合的收敛速度约等于n-1/2.     

集值下鞅的收敛性与Riesz分解

假定（X,·）为可分的Banach空间, X^*为其对偶空间, X^*可分. 设(Ω,B,P)为完备的概率空间, {B_n, n≥1}为B_n的上升子σ域族, 且B=∨B_n, 首先研究了支撑函数的几个性质, 利用支撑函数及实值鞅（上鞅、 下鞅）的收敛定理与Riesz分解定理, 证明了集值下鞅在弱收敛意义下的收敛定理, 在此基础上, 给出集值下鞅可Riesz分 解的一个充要条件.