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In the first section,the existence of solution for a class of non-linear systems with three -point boundary problem is obtained by applying the differential inequality theory .

在第一部分中,我们应用微分不等式理论证明了一类非线性系统三点边值问题解的存在性;在第二部分中,运用微分不等式理论研究了一类带有转向点的拟线性奇摄动边值问题的非单调内层解;在第三部分中,利用对角化方法研究了一类向量二点或者三点边值问题解的存在性,并获得解及它的一、二阶导数的渐近估计。

In this paper we have shown that if the partial derivative of function f with respect to x is uniformly continuous then total stability of zero solution of system implies uniformly exponential asymptotic stability of zero solution.

本文证明了若系统有一致连续的偏导数,则系统的零解在经常扰动下稳定可推出零解一致指数型渐近稳定。

The following results are made from this research: Assessing data quality and band combination of different bands in line with geo-target features in desertification areas, and determining basic bands for desertification monitoring. And understanding and studying the spectral features and variation rules of geo-targets in the experimental area, raising that it is the basis of geo-targets information collection with imaging spectrometer data to understand spectral features and variation rules of geo-targets, realizing that in a great extent spectral-integrated-form-based classification method can remove the phenomenon of "different spectrum with same objects" resulted from reflection ratio curve translation because of the angle change among sensor, targets and observation direction, and the average and variance images can be introduced to solve the problem of two kinds of geo-target with similar spectral forms and much different values of whole reflectionratio. It is suggested that "red edge" range bands of vegetation, which has close relationship with vegetation cover and biomass, is the main characteristic bands and important basis for careful vegetation classification and quantitative retrieval, and pixel-based derivative spectral analysis is very useful for removing the effects of soil background values and quantitatively retrieving vegetation biomass and cover. The remote sense quantitative retrieval model is developed for main appraisable factors of desertification monitoring assessment with imaging spectrometer data and then the applicability of model is analyzed.

研究结果如下:首先针对荒漠化地区的地物特征,对高光谱数据不同波段的数据质量、波段组合进行了评价,提出了适用于荒漠化监测的基本波段选择集;初步了解和掌握了研究地区的地物光谱特性及变异规律,进一步明确了掌握地物光谱特征和变异规律是用成像光谱仪数据提取地物信息的基础;发现了基于光谱整体形状的分类方法在很大程度上能够消除由于传感器、地物目标观测方向之间的角度变化引起的反射率曲线整体平移的"同物异谱"现象,对于谱形相似而整体反射率的值相差较大的两类地物,通过引入均值和方差图像参与分类得到解决;研究还表明在植被"红边"范围内的波段是进行荒漠化监测的主要特征波段,这些波段与植被生物量和盖度都有密切的关系,是开展精细植被分类研究和植被定量反演的重要基础;像元的导数光谱分析可以消除土壤背景的影响,是进行植被生物量和盖度定量反演的有力工具;建立了荒漠化监测主要评价因子的定量反演模型,并分析了模型的适用性。

Jacobian Davis iterative method of solving equations AX = B, least squares polynomial fitting, portfolio Simpson formula for integration, with a triangular decomposition method of solving equations AX = B.

拉格朗日插值多项式拟合,牛顿插值多项式,欧拉方程解偏微分方程,使用极限微分求解导数,微分方程组的N=4龙格库塔解法,雅可比爹迭代法解方程AX=B,最小二乘多项式拟合,组合辛普生公式求解积分,用三角分解法解方程

The Bidiagonal matrix method for the simulation of distillation and catalytic distillation is developed. The bidiagonal matrix method is proved to be better in convergcnce and stability by compared with the tridiagonal matrix method.

在多组分精馏塔的稳态模拟计算中,三对角矩阵法具有占用计算机内存少,无需计算偏导数矩阵等优点,但对强非理想性体系有时计算不收敛。

So that, it's easy to deduce the correct angle by a trigonometric function equation, which can be setup using Variance derivative must be equal to zero.

利用方差导数为零建立三角函数等式,进行校正角的反向推导计算。

Triose phosphate isomerase was prepared and purified from chicken breast muscle. The equilibrium unfolding of TIM induced by guanidine hydrochloride was investigated by following the changes in intrinsic fluorescence, circular dichroism and second-derivative spectroscopy.

从鸡胸肌中纯化出磷酸丙糖异构酶(triose phosphate isomerase, TIM),通过蛋白质内源荧光,圆二色性,紫外吸收二阶导数光谱等多种研究溶液构象的方法,对TIM被盐酸胍和热变性过程进行了详细的研究。

Using the uncoupled information in early stage of response, the satisfactory aerodynamic derivatives can be obtained even under condition that the plate is fluttering.

利用振动初始尚未完全耦合时的运动量和气动力,在颤振前后都能得到和理论值基本一致的气动导数,在实验中这一点是很难实现的。

On the basis of the mechanical principle of the stress function and its derivative on the boundry of elastomer and the method of Heaviside function, the stress calculation of the function of nonlinear distributed force on the undersurface of nonsymmetric wedge block has been obtained.

用应力函数及其导数在弹性体边界上的力学意义和海维赛函数的方法,对非对称楔形体在楔面下部承受非线性分布压力作用的问题进行了应力计算,给出了应力一般解并进行了讨论,其结果具有理论和实际意义。

We introduce the basic theory of quasiconformal mappings of the development and the research situation of the theory of quasiconformal mappings, the theory of Schwarz derivatives and the inner radius of univalence.

在这一章中,我们简单介绍了拟共形映照的基本理论,回顾了拟共形映照及Schwarz导数理论的发展及区域单叶性内径的研究现状,并简要的介绍了作者的主要工作。

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