查询词典 approximate differentiability

The Taylor formula holds the very important status in the differential calculus, especially in solves in some concrete problems to have the extremely important application, for instance the proof inequality, the judgment improper integral collects the divergence, asks the function the limit, asks the function the higher order derivative, determines certain complex progressions to collect the divergence, solves certain differential equation, as well as approximate calculation in and so on application, therefore this article will do the thorough research to these seven aspects.

摘 要：泰勒公式在微分学中占有非常重要地地位，尤其在处理1些具体的茄题中有10分重要的应用，比如证明不等式，判断广义积分的敛散性，求函数的极限，求函数的高阶导数，判定某些复杂级数的敛散性，求解某些微分方程，以及近似计算等中的应用，因此本文将对这七个方面做深入的研究。关键词：泰勒公式；不等式；广义积分；极限；高阶导数；复杂级数；微分方程

In the homogeneous model, the function of tendons is assumed to be uniform in some approximated way in order to form an equivalent homogeneous material within concrete. The formulation of the homogeneous model is same with that of general FEM for common continuum, let alone the elastic matrix being resultant of that of tendon and concrete. The computation is simple, but the approximate assumption makes this method cannot be generalized, because it only represents the constitution and function of tendons in such a rough way, that the numerical results are inaccurate. In the combined model, the function of tendon is considered by the stiffness matrix with rod element, then add it into the stiffness matrix of concrete by a rational way.

均匀类单元是设想将钢筋均匀弥散于整个单元中，使其成为一种连续均匀材料单元，这种单元的与一般有限元的单元刚度矩阵推导过程一样，只不过其弹性矩阵由混凝土和钢筋两部迭加而成的，此类单元刚阵计算简明而又不会扩大计算规模，但均匀弥散只是为计算简单而作一种假想，不贴近单元构造实际，也不符合实际作用效果。

The problem isdiscussed and the error caused by using the approximate formula proves to be superior to that caused by using the homogeneous Taylor's polynomial and an expression is proved to be similatr to the remainder in Taylor's formula.

由讨论这个问题出发，证明了用这种近似式产生的误差，优于用同阶Taylor多项式产生的误差，并给出这个误差的一个类似于Taylor公式余项的表达式。

The object matching on two image planes of the two cameras is achieved by homography relation educed from an approximate camera projective model.

利用由近似的摄像机投影模型导出的单应性关系，实现两个摄像机图像之间的目标匹配。

By using the homotopic mapping method, a class of simplified nonlinear model is studied, and the approximate solution is obtained.

利用同伦映射方法，研究了一类简化型非线性模型。

And based on a class of oscillator of ENSO models, employing the method of homotopic mapping, the approximate and exact of solution of corresponding problem is studied.

并在这基础上借助同伦映射方法研究了一类ENSO模型振子模型的近似解与精确解。

Through the research of the character of ID Card,the approximate area of the character is detected after the projection in horizontal and vertical orient. And the accurate position of the character is located by using the template frame.

该方法通过对身份证的特征的研究，利用水平投影与垂直投影相结合的方法，首先确定出文字的大致区域，然后利用模板框准确的定位出文字的位置。

This essay will give the further explanation about the shape of hydronium and iron and aluminum, and the dry methods between them by the approximate cafculation of hydronium in the liquid of polymeric iron and polymeric aluminum.

通过对聚合铁和聚合铝溶液中氢离子的有关近似计算，进一步说明了氢离子与铁铝形态、干燥方式等之间的关系，指出了进行聚合铁理论研究时应注意其制备方法、浓度和氢离子的重要性。

This thermal structure is approximate to a hyperbolic tangent profile, which allows theoretically that a mode-2 ISW propagates along the thermocline with permanent form (Benjamin, 1967 and Davis and Acrivos, 1967, etc).

这种密度垂直结构近似於双曲正切函数，理论上可以求得一个在斜温层传递且形状不变的第二斜压模之内孤立波的解析解(Benjamin， 1967 和 Davis and Acrivos， 1967，等人)。

The hyperfine coupling constant A and electric quadrupole coupling constant B are approximate in agreement with values by other worker.

本文还详细介绍了高分辨饱和光谱基本原理及在实验中所涉及的一些技术问题。

"Second Life is remarkably easy to work with, and is very popular,"

"第二次生命是显着容易的工作，并且很受欢迎，"

For example, we usually assume that materials are homogeneous and isotropic and free of internal defects or flaws.

为了得到适合有限元分析的模型，我们必须经过如图2所示的简化步骤。