The error is related to the two rank partial derivative of the flux function to each factor and the mean variance distribution of each factor on each grid point.

This paper discusses a kind of calculation method for parital derivative of higher order of function of many variables.

讨论了多元复合函数二阶偏导数的一种计算方法。

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Tomorrow we will see how to decide which one it is, in general, using second derivatives.

明天我们再讲如何用二阶偏导数，区分这三种点。

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Because these mixed second derivatives are the same thing.

因为这两个混合二阶偏导数，是相等的。

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It is the equation partial f over partial t equals some constant times the sum of the second partials with respect to x, y and z.

它是这样的，∂f/∂t等于，一个常数乘以x、y、z二阶偏导数的和。

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A theoretical method to obtain the second order partial derivative of shear modulus with respect to pressure

一种获得剪切模量压强二阶偏导数G P~〃的方法

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To introduce the principle and characteristic of mechanical descaling to clear oxide scale on wire rod surface. The cause for brittle fracture with the method is analyzed.

介绍机械剥壳法去除盘条表面氧化铁皮的原理和特点，分析该方法引起钢丝脆断的原因。

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Effect of Mechanical Descaling Method on Surface Quality and Property of Steel Wire

机械剥壳法对钢丝表面质量和性能的影响

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This paper defines the appraisal system of indices based on stratification with object, standards scopes. Also its application is appraised and analyzed in Nanjing sustainable development.

本文运用目标层、准则层、领域层和指标层的递级层次结构模式构建了南京市可持续发展指标体系，并应用此体系对南京市可持续发展进行综合评价与分析。

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A new method for layer-by-layer downward recursion inversion

逐层向下的递推反演方法

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First of all, it analyzes band structure of one-dimensional linear photonic crystal; and then to analyze in detail the" forward iterative method "and" sub-layer reverse recursive transfer matrix method," point to the application Conditions and their advantages and disadvantages of two methods.

首先从一维线性光子晶体的能带结构入手；然后对正向迭代法和子层逆向递推传输矩阵法做详细分析，指出两种方法的适用条件和优缺点。

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The basic principle of spatial recursive algorithm is obtained by topologic decomposition and partitioned matrix computation. And the basic spatial recursive algorithm and the spatial recursive algorithm layer by layer are put forward which are all composed of forward and backward calculation processes.

基于拓扑分解和分块矩阵运算技术，推导了空间递推算法的基本原理，提出了由前推和回推计算过程组成的基本空间递推算法及逐层空间递推算法。

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Then using a recursion formula for the seismic velocity spectrum and interval velocity, the velocity values having the same time domain with the oil/ gas geologic body are picked up and calculated.

再利用地震速度谱和层速度递推公式，分别拾取和计算与油气地质体同一时域的速度值。

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The spatial recursive algorithm layer by layer divides an interconnected power grid into subsystems and boundary system, and the forward and backward calculation is carried out between the two layers.

逐层空间递推算法将互联电网分解为子系统层和边界系统层，在两层结构间实现前推和回推计算。

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Combined with the result of one dimensional synthetic acoustic curve and seismic geological interpretation, comprehensive constrained inversion forms primitive impedance model along with layers.

反演依靠一维合成声波测井的结果，以地震地质解释的成果为约束，顺层横向递推形成初始波阻抗模型。

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Beginning from the top story, calculation is conducted downwardstory by story.

自顶层开始，采取逐层往下递推计算的方法。

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First of all, this article analyzes with arrangement order as the use of underground space in the renovation process of the famous historical cities of world, the addition projects to the museums in the process, and underground space design in this kind of addition.

摘要以层递性的顺序，首先，依次分析：世界历史名城发展更新过程中地下空间的利用，其过程中博物馆的扩建，这些扩建项目叶地下空间的设计。

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Overall, the lay out of its story structure has a layer of passing, positive and negative lookses relatively, stand side by side several kinds of ways of grading etc on the whole.

就总体而言，其故事结构的编排大体有层递、正反相较、并列编排等几种方式。

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The traditional distribution mode, which regards logistics enterprise as its main body and carries out decision management from layer to layer, is hard to meet the market requirement for personalization and shortcut.

传统的以配送企业为基本单元，以层递方式进行决策管理的共同配送模式难以适应个性化、快捷化的市场要求。

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Recursion shows the following four basic characters: 1, the essence of return; 2, recursion in structure; 3, formation in process; 4, infinity of results.

递归主要体现为以下四个基本特征，即本质上的回归性、结构上的层递性、过程上的生成性以及结果上的无限性。

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Not only the potential distribution on different layers of the head ( scalp, skull and cortex) can be computed recursively, but the computation load is also reduced.

不但可以逐层递推头皮下各层组织结构上的电位分布，而且减少了计算量。

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