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And block entropy, Renyi entropy,nonadditive entropy also grow with system size, derivative of logarithm of fidelity diverge at critical point.

Fibonacci量子伊辛链和均匀量子伊辛链一样，协作参量的导数在相变点的峰值随系统增大作对数发散；而无序量子伊辛链的协作参量的导数在相变点的峰值不随系统的增大而增大。

Among many directions of the fixed point researches, it becomes main problem that the convergence problem about making approximating fixed point sequences and its application in control, nonlinear operator and derivative equation etc. The research of this problem will play an important role in its application in reality.

在不动点问题研究的众多方向中，关于构造渐近不动点序列的迭代收敛问题以及其在控制、非线性算子和微分方程等方面的理论结合及应用成为研究的主流问题，对这方面问题的研究会在实际运用中起到至关重要的作用。

In Chapter Ⅲ, by considering functions H k that may not have nonpositive partial derivative on s and employing integral averaging technique and Hardy inequality, the oscillation for a class of high order nonlinear differential equations and high order nonlinear damped differential equations is discussed, new oscillation criteria are established.

第二章利用广义Riccati技巧、积分平均技巧以及微分不等式理论，讨论了一类二阶非线性常微分方程的振动性，得到了若干新的振动准则，并讨论了该方程具有强迫项时解的渐近性态。

One is for Green's function in elements by using linear integrals; the other is for its normal derivative by the divergence theorem.

作法是仅需对原有的奇异性核函数加入一项使其异性消除，同时再将函数的解析积分值减去原方程式。

The spectra, which were pretreated with the method of first derivative combined standard normal variate, were analyzed by principal component analysis.

将经一阶导数结合标准归一化处理后的光谱进行PCA降维，以前20个主成份（含原始光谱86.09%的特征信息）为输入变量，建立杂交稻种纯度鉴定的BP-ANN模型。

The existence of global weak solution for a class of generalized Ginzburg-Landau equations with an inhomogeneous boundary condition was studied. Some integral indentities of smooth solution of inhomogeneous initial boundary value problem of Ginzburg-Landau equations were deduced, by which a priori estimates of the square norm on boundary of normal derivative and the square norm of partial derivatives were obtained.

研究具非线性边界条件的一类广义Ginzburg＿Landau方程解的整体存在性·推导了Ginzburg＿Landau方程的非齐次初边值问题光滑解的几个积分恒等式，由此得到了解的法向导数在边界上的平方模以及解的平方模和导数的平方模估计；通过逼近技巧、先验估计和取极限方法证明了Ginzburg＿Landau方程的非齐次初边值问题整体弱解的存在性

The recent progresses in the study on the fluorescence of rare earth complexes and application for the determination of the rare earth elements and organic compounds, as fluorescent probes for bioactive materials analysis and as detection means in separation technology were reviewed in detail. In chapter two, the absorption spectra of the 4f electron transitions of the complexes of the neodymium, praseodymium, holmium and erbium with fleroxacin in the presence of CPC have been studies by normal and derivative spectrophotometry.

本文以稀土元素配位化学为基础，以导数吸收光谱技术和荧光光谱技术为研究手段，利用新一代喹诺酮类抗菌药物，抗凝血类杀鼠药物的化学结构特点和大环化合物冠醚与金属离子突出的配位能力，以分析应用为目标，系统研究了这些化合物同稀土元素形成的配合物的光吸收和荧光特性，通过对体系实验条件的优化，使体系的稳定性、选择性和灵敏度得到显著改善。

The interpolate algorithms of three-order NURBS curve and double three-orders NURBS surface are presented. The expressions of partial derivative and normal curvature of NURBS surface are derived by the theory of differential geometry. The geometric characteristics of different curvature area of the free-form surfaces are analyzed in detail. All these work lays a theoretical foundation for constructing the cutter location calculating model of free-form surfaces NC machining. 2 On the basis of analyzing the methods of cutter path generation, the standard of evaluating the various methods of cutter path generation is presented. The method of generating cutter path with constant scallop height is presented for the first time.

本文以提高复杂曲面多坐标数控加工精度和加工效率为目的，在对国内外研究现状进行深入分析的基础上，对数控编程中各环节的关键技术问题进行了深入研究，主要内容包括以下几方面： 1 分析了复杂曲面各种造型方法的优缺点，给出了根据各种边界条件所确定自由曲面的NURBS表示方法以及三次NURBS曲线曲面反算算法；用微分几何理论推导了NURBS曲面的偏导矢及法曲率计算表达式；对曲面不同曲率特性区域的几何特征进行了深入分析，为建立复杂曲面的数控加工刀位计算模型奠定了理论基础。

By using the condition that the tangential components of electromagnetic field and its first derivative are continuous across the interface, we can get the transfer matrix for normal photonic crystal.

我们考虑的是光波以任何角度θ入射的情况。同样采用传输矩阵，结合TM序列的性质得到传输矩阵及透射率的表达式。

First derivative combined with standard normal variate was used to pretreat spectra, and calibration model for ginsenosides had been built by partial least squares regression method.

标准正则变换结合一阶导数对光谱进行预处理后，采用偏最小二乘回归算法建立在线测量总皂苷浓度的近红外光谱校正模型。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。