条件方程

The obtained results indicate that in the case of Riemann-Liouville definition, theequivalence between FDEs and weak formulation does not require any initial conditions.

上述研究结果表明在Riemann-Liouville分数阶导数定义的情况下，分数阶扩散方程与弱形式的等价性证明不需要添加初值条件。

Weak formulation of mixed state equations including boundary conditions are presented in a cylindrical coordinate system by introducing Hellinger_Reissner variational principle.

从Hellinger_Reissner变分原理出发，在柱坐标系中，导出圆柱壳的弱形式混合状态方程和边界条件，联用状态空间法给出叠层柱壳的解析解，此法使得求解该类问题的形式得以扩大和统一。

In this paper,we prove the existence and uniqueness of global weak solution of Non Newton Filtration equation with a kind of nonlinear boundary condition.

证明了一类具有非线性边值条件的非牛顿渗流方程解的存在和唯一性。

Therough the test of three-factor quadratic regression orthogonality,we study uqantitatively the relationship between the antiscale rate and the adding amount of LA,the calcium content of the solution and the PH value.We come to the regression equation,which fairly fits the result of the experiment and can be used as the study of the antiscale property and the usable condition of LA.

根据三因子二次回归正交设计实验，定量研究了阻垢率与溶液中阻垢剂LA用量、Ca2+含量和pH值之间的关系，得到的回归方程能较好拟合实验测定结果，可用于合成产物LA阻垢性能和确定其适用条件的研究。

For general nonautonomous case, by means of the lower and upper averages of a function, under the conditions that the restriction on coefficients of the systems is relaxed further, some new results on the logistic equation are obtained, and sufficient conditions are given for permanence and global attractivity of the systems.

对于一般非自治情形，借助于函数的上、下平均值，在进一步放宽了对系数限制的情况下，我们得到logistic方程的一些新结果，给出了系统持久和全局吸引的充分条件。

In the present thesis, the solution of axisymmetrical space full plastic problems of ideal elastoplastic material is proposed from the fundamental equations, the possibility of using Tresca's yielding condition and the influence of longitudinal stress are discussed therefore the analytic formulae of plastic strain are also derived.

本文从轴对称空间问题的基本方程出发，研究了理想弹塑性材料塑性加载时的一般解法，讨论了采用各种形式Tresca屈服条件的可能性及轴向应力对于它的影响，并导出了塑性应变的解析式。

This thesis focuses on studying the matrix equa-tion problem systematically, and proposed an abstract algorithm of solving the matrixequation with constraints, and established a strict convergence theory. Using this algo-rithm, we can solve the sets of matrix equation satisfying some constraint conditions,such as symmetric, antisymmetric, centrosymmetric, centroskew symmetric, re?exive,antire?exive, bisymmetric, symmetric and antipersymmetric, symmetric orthogonalsymmetric, symmetric orthogonal antisymmetric, Hermite generalized Hamilton ma-trix;So we can solve the problem with this algorithm, if the set of constrain matrixcan make a subspace in matrix space, and this algorithm also can solve the optimalapproximation and least squares problem. So this abstract algorithm has universal andimportant practical value.

本篇硕士论文系统地研究了此类问题，并找到了求解约束矩阵问题的抽象算法，并建立严格的收敛性理论，利用这一算法可求解约束条件为对称矩阵、反对称矩阵、中心对称矩阵、中心反对称矩阵、自反矩阵、反自反矩阵，对称正交对称矩阵、对称正交反对称矩阵、双中心矩阵、Hermite广义Hamilton矩阵等；可以说只要约束矩阵集合在矩阵空间中构成子空间，都可以考虑用此算法求解，而且这一算法还能把矩阵方程解及其最佳逼近，最小二乘解及其最佳逼近统一处理，因此本文算法有普适性和重要的实用价值。

Was studied by Folin Ciocalteu colorimetry. The results showed that polyphenol content of C. album could be well calculated according to their colorime tric absorption at 765nm by applying Folin Ciocalteu reagent 1.5mL and 10% Na2CO3 6 mL,2 h at 30℃ for colorimetric reaction, and the linear range of standard curve was 7-70mg/L.The method established was very convenient, stable and accurate.Key words: Canarium album Rauesch.;polyphenol;colorimetry

结果表明：橄榄多酚提取液在加入Folin Ciocalteu试剂1.5 mL，10% Na2CO3 6 mL，反应时间2 h，温度30℃的条件下进行显色，并于765 nm处测定其吸光值，多酚质量浓度在7～70mg/L范围内与吸光值有良好的线性关系，根据此线性回归方程进行橄榄多酚的定量测定，该方法简单方便，稳定性好，准确度高。

Theory; the spatial meshing theory includes comparative motion, comparative differential and conjugative curved surface; and the application of meshing theory includes gear drive and worm drive. The spatial meshing theory is the main part of the course.

课程的重点讲解内容有曲线的参数方程、切线、法面、弧长、曲率、空间曲线的基本公式、挠率及平面曲线的基本公式等；曲面第一和第二基本公式，法曲率、主方向和主曲率、欧拉公式、短程挠率、欧拉公式和贝特朗公式推广、相对法曲率和相对短程挠率等；刚体的绝对和相对运动速度、相对微分和绝对微分、相对速度和相对微分、轨迹曲面的法曲率和短程挠率等；空间共轭曲面的啮合条件、诱导法曲率、两类界限点、等距共轭曲面、空间啮合的二次接触原理等；蜗杆传动的数学模型建立及啮合特性分析方法等。

Mathematical model was set up,on the basis of dynamics formulation,normal expanse of the target interface ,and supposed concrete medium was constringent material.

根据弹体动力学基本方程和假定混凝土为可压缩材料，基于弹靶接触表面处靶体材料的法向膨胀性，对跳弹现象进行理论分析，在合理假设的前提下，建立了跳弹现象的数学模型； 2）针对该模型编制计算机程序，在给定初始入射速度、入射角后可以判断出能否产生跳弹现象，输出产生跳弹现象时所对应的初始侵彻条件，并通过穷举法得出跳弹临界相图，对于斜侵入情况，能计算出弹体在不同侵彻阶段下的运行时间并能绘制出侵彻轨迹，结合现有的试验数据，进行对比分析，二者符合良好，证实了理论分析模型的合理性； 3）开展了跳弹现象的数值模拟研究。

By the time of its fall, most of the prisoners were writers who had written against the corruptions of the government.

到它被攻陷的时候，里面多数的犯人是写了反对政府贪污文章的作家。

The most obvious variation to ovum morphological character was that the color was changed from light green to sepiaceous in embryonic development, and all the ovums were almost hatched after 96h.

在胚胎发育过程中卵的形态特征最明显的变化是颜色从淡绿到深褐色，卵在发育96h后卵基本全部孵化。