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In school they teach you the Chain Rule, and you can memorize the formula and apply it on exams, but how many students really know what it "means" So they're not going to be able to know to apply the formula when they run across a chain-rule problem in the wild.

在学校里他们教你链式法则，你也能回忆起他们并能运用在考试题上，但有多少学生能真正的了解他们到底意味着什么呢所以当他们遇到变种的链式问题时，他们就不懂得如何运用公式了。

The method includes the steps of: deriving P (30 - 40) according to the formula that is the function of maximum number of multicodes and the first and second group of the channelization code set information , and then deriving O (42-48) according to the formula that is the function of P and m and B and n.

该方法包括以下步骤：根据作为多代码的最大数目以及第一和第二组信道化代码集信息的函数的公式导出P(30-40)，然后根据作为P和m以及B和n的函数的公式导出O(42-48)。

By the analysis of stress distortion of circular load symmetry flat plate, starting from the entire deriving course of thickness calculation formula, derives the simple formula of calculating blind flange thickness, which is fit for oral calculation of hydrostatic pressure testing of in-situ equipment and pipeline.

通过对对称载荷圆形平板的应力变形进行分析，从其厚度计算公式的整个推导过程入手，归纳整理出适合于施工现场设备及管道等试压时，所需的盲板厚度的简易计算公式，使其达到现场口算化。

In this paper, the force-energy formula which is suitable for double groove ball section ring is deduced based on force-energy formula of closed rolling... of rectangular cross-section ring by using micro-element method.

本文在矩形截面环件闭式辗扩力能公式的基础上，采用微元法推导了适合双沟截面环件的辗扩力能公式。

To study the mechanism of photobleaching for monascus pigments, a monascus red pigment (resolved in water, molecular formula C19H28N2O5) is radiated with UV-light until colorless, the molecular formula of the colorlessness is determined as C14H9NO6 by infrared spectrometry, mass spectrometry and hydrogen nuclear magnetic resonance.

为了探明红曲色素光照褪色的机理，采用紫外灯照射一种红曲红色素(分子式C19H28N2O5)的水溶液至无色，经红外光谱、质谱和核磁图谱分析，鉴定其褪色后物质的分子式为C14H9NO6。

Base on the analysis of superposition theory, a new calculation theory of the column of CFST is brought forward and the calculation formula is derived. Under the deformation compatibility condition, the calculation formula for distribution coefficient of axial compression is derived.

在分析现有叠加理论计算方法的基础上，提出了新的方钢管混凝土柱计算理论，并推导了计算公式；同时在变形协调条件下，推导了其轴压力分配系数计算公式；在此理论基础上，确定了十字形截面方钢管混凝土组合异形柱换算长细比的计算公式和钢管稳定性提高系数。

Color quantization experiment of highly complex color images demonstrates that this new color difference formula's performance is as better as CIELUV color difference formula while it saves memory and shortens the calculation time.

通过高复杂度图像的颜色量化实验证明该色差公式在颜色量化中的性能达到了CIELUV色差公式的水平，有效地节约了内存空间和计算时间。

Based on analyzing and comparison of the several kings of theoretical formula and analyzing the composition and influence factor, this paper improves a common formula used in calculating jacking force in pipe jacking.

本文针对当前非开挖技术基础理论研究滞后于工程实践的现实，对顶管的推力理论、水平定向钻进的管道回拖力及其水平钻进过程中的孔壁失稳机理等问题进行了研究。

Though studying some concepts and formulas in theory of probability,we give the definition of conditional independent between two random events and the formula probability in complete events set,and a simplified formula for density s function in n random variables is given.

通过对概率论中有关公式的研究，给出了条件独立的定义、推广了全概率公式和贝叶斯公式，并给出了n维随机变量函数的密度函数的简化计算公式。

Thirdly, by applying Frenchet derivative analysis, the iteration formula is derived to solve the constrained functional minimization problem, essentially the formula is a level set equation, in which the motion velocity of the level set is the shape sensitivity of material interfaces.

为了有效处理违反约束，这里还提出了在违反约束水平集的负法凸锥内构造水平集的法向修正速度的返回映射算法，它可以方便地处理多材料、多约束和含有非设计域的结构设计问题，使初值给定容易。

According to our present broadcasting situation,the thesis proposes using new technology to update and reform the present HFC. It also suggests broadcasting using self-advantage and arranging EPON in order to win the supermarket.

论文从我国广电的现状出发，结合实际，积极倡导采用新技术更新、改造我国现有的HFC网络；倡导广电现阶段利用自身优势，部署EPON网络来赢取市场。

A new general kinetic equation was derived in which the effect of the removal of condensation water was taken into account completely, and was applied to the polyesterification kinetic study of AA/HPHP and AA/NPG. It was found that the reaction order of self-catalyzed polyesterification was not constant. For these polyesterifications, the reaction order was 2.5 at a low temperature, while 3.0 at a high temperature.

考虑缩合水的排除对反应体系的影响，用体积浓度单位推导出一个新的聚酯反应总包动力学方程，并应用到AA/HPHP和AA/NPG两个聚酯化反应的动力学研究中，研究发现，自催化聚酯反应的反应级数并不是固定值，对于AA/HPHP和AA/NPG两个聚酯化反应而言，低温时反应级数为2.5，高温时反应级数为3.0。