中阶

In this project,we primarily investigated the growth of solutions of some types of differential equations,and the hyper order,the exponents of convergence of zeros and fixed points of solutions with infinite order, especially, expononts of convergence of fixed points of first, second order derivatives and differential polynomials of solutions.

中文摘要：在本项目中，重点研究了几种类型的微分方程解的增长性，及无穷级解的超级，零点收敛指数，不动点收敛指数，特别是解的一阶，二阶导数及微分多项式的不动点收敛指数。

In this dissertation, we develop the research work of the following three aspects based on existed work.First, using the scale-invariant property of multiscale model, i.e. Markovian among scales, a method of qth-order tree-based for multiscale representation of a class of 1-D stochastic process is presented. The multiscale stochastic model is established. The representation forms of parameter matrices, such as, the state transition matrix, the disturbance matrix, the initial state and the corresponding covariance matrix are deduced in detail. The multiscale sample paths based on distinctive order tree are presented by computer simulation.

本文在已有工作的基础上，开展了以下几个方面的研究工作： 1、根据多尺度模型尺度不变性，即利用尺度间的Markov性，给出了一类1-D随机过程基于一般q阶树的多尺度表示方法，建立了相应的多尺度动态模型，详细推导了多尺度模型中的状态转移阵、扰动阵、初始状态和相应的协方差阵，并通过计算机仿真给出了不同阶树的多尺度采样路径。

Studies on quantitative determination of active principles in Chinese herbal medicine by second derivative differential pulse polarography.

二阶导数差示脉冲极谱法的建立及在药物分析中的应用。药学学报，1992，27(2)：157。[4] 梁云爱，李见春，门孝英。环磷酰胺及其制剂的二阶导数差示脉冲极谱法定量研究。

Two basic theorems are given by researching Hamilton's two steps linear differential equations of bender equations which provide widespread application methods of normal differential operator correspond to ladder operators,then the solutions of general equations are obtained by taking advantage of the two above theorems: The energy eigenvalue equation of one-dimensional oscillator; the common state of ; the radial equation of a bondage state of hydrogen atom; the radial equation isotropic three-dimensional harmonic oscillator; the infinity deep potential well of ball

本文通过研究束缚态本征方程里的哈密顿算符的二阶线性常微分形式，给出两个基本定理并证明，提供构造二阶线性常微分算符相应的阶梯算符的普遍实用的方法，然后利用这两个定理构造量子力学中常见力学量的阶梯算符，并用以计算其能量本征值和对应本征函数：一维谐振子的能量本征方程；共同本征态；氢原子束缚态径向方程；三维各向同性谐振子的径向方程；无限深球势阱。

But for those of us who move onto this more advanced stage, Lee's team said "this shift in strategy is analogous to shifting from proofs in the first-order predicate calculus to proofs in the first-order modal predicate calculus"- in other words, it's a pretty impressive display of logical prowess and further evidence of our ability to "make deductions about abstract matters remote from our mundane life".

但是我们中的那些进入更高等级的玩家，Lee的团队说，"这次策略的转换同从一阶谓词演算证据到一阶情态谓词演算证据非常类似"——换句话说，这是一次令人印象深刻的展示：逻辑的力量和我们具备对"远离日常生活的抽象事物进行演绎"的能力。

Logical reasoning is the basis of artificial intelligence, the first-order predicate logic belonging to logic is a knowledge representation widely used, therefore,it is a meaningful task to study the reasoning problem of first-order predicate logic .

逻辑推理是人工智能的基础，而逻辑中的一阶谓词逻辑是使用较为广泛的知识表示方法，因此研究一阶谓词逻辑的推理问题是一项很有意义的工作。

Firstly, based on the method of pressure-velocity coupling introduced by SIMPLE algorithm and a revised method of solving the unsteady equation of stream function and vorticity on uniform grid, a special algorithm called primitive-variable-time-dependent approach is formed in the present study. In this algorithm the Navier-Stokes equation in primitive variable form is solved by using the time-dependent approach on non-uniform staggered grid system. The second-order accuracy finite difference is used for the first and second partial derivatives of all variables of the convective terms and diffusion terms.

首先，本文在SIMPLE算法系列处理速度与压力耦合问题的思路和均匀网格下改进的关于流函数涡量方程的数值求解方法的基础上，将非定常原始变量Navier-Stokes方程的求解推广至非等距交错网格剖分，形成了具有本文特色的原始变量时间推进方法，其中对流项和扩散项中各变量的各阶导数均采用二阶精度公式，包括温度在内的离散方程组采用ADI迭代方法求解。

This paper discusses the connection of one step or two step right derivative and protruding property of a function.

研究了函数的一阶及二阶右导数与函数凸性的关系，推广了数学分析中的有关结果。

In the first part, it discusses the existence of global weak solutions of the initial boundary value problems to a class of multidimensional quasi linear evolution equations with strong damping, nonlinear strain, nonlinear damping and...

我们证明，上述方程中诸非线性项的增长阶（假定它们均具有不超过多项式的增长阶）指数、初始能量的状态和相应的定解问题的整体解存在与解在有限时刻发生Blowup现象之间存在着密切的联系，得到了增长指数、初始能量的状态与整体。。。

Based on the model of the high-order nonlinear Schrdinger equation with quintic term, we numerically study the interaction between the femtosecond solitons in optical fiber with saturate nonlinearity.

以包含五阶非线性效应的高阶非线性薛定谔方程为模型，数值研究了饱和非线性光纤中飞秒孤子间的相互作用。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。