查询词典 indefinite integral

The results show that mechanical heterogeneity has great influence on the J-integral of welded joint containing transverse crack. The J-integral on the path cross the interface between welded joint and base metal is higher than the J-integral on the paths in the weld metal for undermatched joint,while the J-integral on the path cross the interface between weld metal and base metal is lower than the J-integral on the paths in the weld metal for overmatched joint. Moreover,the difference of J-integral values increases with the increasing of the load and strength mismatching difference and the path-enclosed length of interface between weld metal and base metal.

计算结果表明：力学不均匀性对含横向裂纹焊接接头的J积分有重要影响，低匹配焊接接头中积分路径穿越焊缝与母材界面的J积分值高于积分路径在焊缝内的J积分值，高匹配焊接接头中积分路径穿越焊缝与母材界面的J积分值低于积分路径在焊缝内的J积分值；载荷越大，焊缝与母材的强度差别越大；积分路径中包含的焊缝与母材界面长度越大，J积分的差值越大。

Its primary coverage includes: Function and limit, derivative and differential, theorem of mean and derivative application, indefinite integral, definite integral and application, space analytic geometry and vector algebra, function of many variables differential method and application, multiple integral and curvilinear integral, infinite series, differential equation and so on.

其主要内容有：函数与极限，导数与微分，中值定理与导数应用，不定积分，定积分及其应用，空间解析几何与矢量代数，多元函数的微分法及其应用，重积分与曲线积分，无穷级数，微分方程等。

Based on the quality of linear operation about indefinite integral, the article puts forward an indefinite integral principle of making linear combination and reducing power of integrand.

从不定积分的线性运算性质出发，给出了计算不定积分的被积函数线性组合化、降幂的积分原则，并结合实例分析了这一原则在不定积分计算中的指导作用

This article has sorted out the data of indefinite integral concept in common use, and has analyzed the features of three methods of indefinite integral in common use: the first substitution method of integration, the second substitution method of integration, and integration by parts.

因为，(x2)′=2x，(x2+1)′=2x，(x2+2)′=2x，(x2+c)′=2x所以x2，x2+1，x2+2，x2+c均为2x的原函数。由此得出：一个函数若有原函数存在则有无数个原函数存在，且任意两个原函数之间相差一个常数。

Firstly, the eigenvalue problem of a class of second order elliptic equation with critical potential and indefinite weights is considered. Then, using critical point theory, Trudinger-Moser inequality and the properties of the first eigenvalue, we prove the existence of a nontrivial solution for a class of nonlinear elliptic with critical potentialand indefinite weights in R~2. Secondly, we prove the existence of nontrivial solutions for a class of subcritical and critical elliptic systems with indefinite part in R~2 byusing a generalized linking theorem, Trudinger-Moser inequality and concentration-compactness principle.5. The existence of at least three weak solutions for discrete boundary value problem is established by using a three critical point theorem introduced by Ricceri.

首先，讨论了R~2中一类带不定权且含临界位势的二阶椭圆型方程的特征值问题，并借此特征值问题的第一特征值性质，利用山路引理及Trudinger-Moser不等式，证明了R~2中一类带不定权且含临界位势的非线性椭圆型方程非平凡解的存在性；其次，利用广义环绕定理，Trudinger-Moser不等式及集中列紧原理，得到了R~2上一类具有强不定部分的半线性椭圆型方程组在非线性项分别为次临界增长和临界增长情形下非平凡解的存在性。

In this paper, the linear indefinite equation , quadratic indefinite equation and the several special solution of indefinite equation are studied.

本文主要研究了一次不定方程、二次不定方程和不定方程的几种特殊解法。

For example, I speak to the students and the other another distinction, I have another first in the "an" and "other" Draw a vertical line. then inspire students under the Articles, The distinction between an ponder another and the other on the difference between through the analysis of two Articles 2 and indefinite pronouns between the common feature then from the indefinite article and the article migration between the different mentality out indefinite pronouns between two similar distinction.

例如，我在给学生们讲the other与another的区别时，我就先在another的&an&与&other&之间画一条竖线，然后启发学生根据冠词the、 an之间的区别去思考the other与 another之间的区别，即通过分析两个冠词与两个不定代词之间的共同特征，进而从不定冠词和定冠词之间的不同迁移思维出两个不定代词之间类似的区别。

through text analysis,this paper examines the syntactic and morphological means typically employed in introducing topics into chinese and english texts and their relations to discourse anaphora.we find that in both chinese and english the most important means for introducing the most important and accessible topics into discourse are the indefinite nps used as objects in existential-presentative sentences,and that the indefinite demonstrative adjective zheme and this can be used as an additional means to emphasize the importance of the entity introduced.however,the two languages differ in that,in english texts,apart from the above-mentioned linguistic devices,definite nps functioning as indirect objects and names functioning as subjects also tend to be used to introduce relatively important topics,and the emphatic one,in contrast to the indefinite article "a",can be used as another linguistic means to give additional emphasis on the relative importance of the topic introduced.

摘 要：本文以民间故事为语料，分析和研究了英汉篇章中话题引入的句法和形态手段及其与篇章回指的关系。我们发现，两种语言的主要相似之处为：1用作存现宾语的无定名词短语是引入篇章中最为重要和最为可及话题的主要手段；2英汉无定指示形容词this和&这么&可用于进一步强调所引入话题的重要性。两种语言最主要的差别是：1在汉语中，存现结构中的无定名词短语似乎是引入重要篇章话题的唯一形态句法手段；而在英语中，除此之外，用作间接宾语的有定名词短语和用作主语的专有名词也可以用于引入一个相对重要的篇章话题。2在英语篇章中，另有一个标示重要话题的附加手段，即以one代替a，以便进一步强调所引入话题的重要性。

For the Riemann boundary value problems for the first order elliptic systems , we translates them to equivalent singular integral equations and proves the existence of the solution to the discussed problems under some assumptions by means of generalized analytic function theory , singular integral equation theory , contract principle or generaliezed contract principle ; For the Riemann-Hilbert boundary value problems for the first order elliptic systems , we proves the problems solvable under some assumptions by means of generalized analytic function theory , Cauchy integral formula , function theoretic approaches and fixed point theorem ; the boundary element method for the Riemann-Hilbert boundary value problems for the generalized analytic function , we obtains the boundary integral equations by means of the generalized Cauchy integral formula of the generalized analytic function , introducing Cauchy principal value integration , dispersing the boundary of the area , and we obtains the solution to the problems using the boundary conditions .

对于一阶椭圆型方程组的Riemann边值问题，是通过把它们转化为与原问题等价的奇异积分方程，利用广义解析函数理论、奇异积分方程理论、压缩原理或广义压缩原理，证明在某些假设条件下所讨论问题的解的存在性；对于一阶椭圆型方程组的Riemann-Hilbert边值问题，利用广义解析函数理论、Cauchy积分公式、函数论方法和不动点原理，证明在某些假设条件下所讨论问题的可解性；广义解析函数的Riemann-Hilbert边值问题的边界元方法是利用广义解析函数的广义Cauchy积分公式，引入Cauchy主值积分，通过对区域边界的离散化，得到边界积分方程，再利用边界条件得到问题的解。

The paper states the distinctions between Riemann integral and Lebesgue integral from the aspects of the definition of integral,the continuity of integrable function,the additivity of integral,integral limitation theorems and Newton-Leibnitz formula.

从积分的定义，可积函数的连续性，积分的可加性，积分极限定理，牛顿-莱布尼兹公式五个方面阐述了黎曼积分与勒贝格积分的区别。

Yet, Edith says, there was always money in the bank.

但是Edith说，她的银行户口里面总是有钱。

We have created a series of files that resolve this problem--one for each day of the 40 days of purpose.

我们制作一系列的档案去解决这问题---一个为标竿40天中的每一天。