查询词典 approximate partial derivative

Taylor theorem use polynomial approximation function to link the known function with its derivative in different orders.

作为一元函数微分学的顶峰，Taylor定理重要的作用之一是在一个给定点的附近，将函数近似地用多项式来代替。

One bases on function value and another bases on arithmetic average difference quotient. In this paper, the author mainly studies the approximation properties of both the function value and the derivative of two kinds of splines interpolation mentioned before, and the optimal error constants are obtained finally.

文中分别就这两类插值样条的函数值及一阶导数的逼近性质展开讨论，相应得出这两种插值函数在被插函数分别为一阶连续可导和二阶连续可导情况下的最佳误差常数。

In Chapter 2, one kind of rational cubic spline interpolation with linear denominator has been proposed, whose derivatives are replaced with accurate derivative values, difference quotient and arithmetic average difference quotientrespectively.

第二章给出了一类分母为线性的有理三次插值函数，当其导数值分别取为导数的精确值，一阶差商，以及算术均差商时，便得到三种插值格式，分别为给定导数值的有理三次插值函数，基于函数值的有理三次插值函数，以及基于算数均差商的有理三次插值函数。

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咖啡因—由于咖啡本身具有兴奋神经中枢，消除疲劳，增加肾脏血流量的作用，通过对大脑皮层的刺激，使神经递质作用于细胞膜受体，激活了膜另一侧的腺苷酸环化酶，被激活的腺苷酸环化酶催化三磷酸腺苷环化酶，被激活的腺苷酸环化酶催化三磷酸腺苷形成环磷酸腺苷，从而引起一系列生化反应，如增加愉快感和消除事后疲劳等。

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这里Rajasekhar和Vemuri已聚集了世界各国领导人的文章和评论的干细胞研究的所有领域-组织和器官干细胞和祖细胞，癌症干细胞，古典胚胎多能干细胞，多能干细胞，并导出了核重新规划成熟的成年体细胞的细胞核。

The global exposure relating to the use of financial derivative instruments shall not exceed the total net asset value of the Fund.

使用金融衍生工具有关的整体风险不得超过本基金的资产净值总额。

Chapter 9: We report a large quantity of numerical experiments of 13 different algebraic multigrid algorithms for solving the Poisson equation, anisotropic equation, equation with cross-derivative terms, general matrix problems with large off-diagonal positive entries, biharmonic equation, Toeplity matrix, elasticity systems, finite element discretization of the Laplacian and even 3D problems. Particular attention is focused on asymptotic convergence factors and CPU-time consumed. Numerical results for many different types of practical problems demonstrate the efficiency and robustness of the proposed algebraic multigrid methods.

第九章：在各种代数多重网格算法的基础上，进行了大量的数值试验，具体给出了十三种不同的代数多重网格方法求解泊松方程，各向异性方程，带混合导数项的方程，带有大的非对角正元素的一般矩阵问题，重调和方程，托普利兹矩阵，弹性力学方程组，拉普拉斯算子的有限元离散，甚至三维问题的较为丰富的数值结果，重点关注它们的渐近收敛因子和所需的CPU时间，来源于不同类型问题的计算结果既为代数多重网格理论分析和算法的改进提供了很实用的资料，同时也证实了本文给出的代数多重网格算法的效绩和稳健性。

This article discussed the voltage observed value which is showed by the digital milli-voltage table with the corresponding time relations in the "flat stable state method measuring the thermal conductivity coefficient of bad conductor" experiment,using the Excel program to find asymptotic lines,in order to resolve heat radiation rate with the derivative method.

本文讨论了在"用平板稳态法测量不良导体的导热系数"实验中，对实验过程中数字毫伏表显示电动势测量值与相应的时间的关系，利用Excel程序求渐近线，再求其导数以求散热速率的方法。

Firstly, The sufficient con-ditions of the existence and uniquity of the positive equlibria by applying functional derivative isobtained; Secondly, the global attractability of the positive equlibria is investigated by charateristicroots theory and oscillation theory; Thirdly, regarding the delay as a parameter, conditions of theexistence of Hopf bifurcation and the peridic solution, furthermore, the form of the approximateperidic solution are obtained; Finally, Some specific examples are given and the solution diagrameappears by Matlab.

首先利用导数性质，得到了该模型正平衡态存在惟一性的充分条件；其次，利用特征值和振动性理论得到了该模型正平衡态全局渐近稳定性充分条件；然后，应用Hopf分支理论证明了该模型Hopf分支及近似分支周期解的存在性，并给出了周期解的近似表达式；最后，借助于MATLAB数学软件，举例并绘出了模型数值解的拟合图象，验证了文中定理条件的可行性。

Local discontinuous Galerkin method for convection-dominated diffusion problems with periodic boundary conditions is constructed. To deal with the derivative of second order, an auxiliary variable is introduced. The stability and error estimations are presented simultaneously.

针对具有周期性边界条件对流占优的扩散问题中的二阶导数，引入辅助变量，构造了局部间断Galerkin方法，并给出了方法的稳定性结果和误差估计式。

Listen,point and check your answers.

听，指出并且检查你的答案。

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但以本院科针灸门诊在2005年1月—2006年6月期间共收治膝痛患者100余例，经过临床的诊断后，其中施以温针治疗的48例，疗效显著，报道如下。1临床资料本组病例48