查询词典 kernel of integral equation

This article compared the integrand of infinite integral and unbounded function integral by comparing the infinitesimal with the infinity, obtained the corresponding equivalence theorem of criterion of convergence of abnormal integral, and gave out the proof.

将无穷积分及无界函数积分的被积函数运用无穷小和无穷大比较的方法进行比较，得到了相应的反常积分敛散性极限审敛法的等价定理，并给予证明，从而可运用等价定理灵活的判断反常积分的敛散性。

It is proved that an R-algebra isomorphism between two integral table algebras must be an integral table algebra isomorphism if it is compatible with the so-called normalizings of the integral table algebras.

我们证明了两个整表代数之间的一个R-代数同构必是一个整表代数同构只要它与一种标准化变换相容。

For integral table algebras with integral table basis B we can consider integral R-algebra RB over a subring R of 〓, the ring of the algebraic integers.

第二章 我们考虑了有理整表代数间的同构问题：对任意整表基为B的整表代数，我们研究了代数整数环〓的一个子环R上的整R-代数RB。

When the program module read the temporary integral table, it up dated the integral table, the user condition table, the integral reward data sheet th

程序模块读取临时积分表，通过返回临时积分表的数据对积分表，用户状态表，积分奖励记录表进行更新，并对积分累积记录表进行更新，系统着重于对更新失败和程序异常时进行处理。

An integral projection algorithm for Vector Quantization is proposed in this paper,integral projection is used in every 4×4 block firstly,and then carry on vector quantity with the integral codebook.The memory area of codebook and computation of encode can be reduced greatly while the quality of the picture only loses slightly.

提出了一种积分投影和矢量量化相结合的图像压缩算法，将图像的每一个4×4分块先进行积分投影，然后再与积分投影后的码书进行量化匹配，大大减少运算量和码书存储面积，而图像的质量只有轻微损失。

New boundary integral equations for the torsion problem of an isotropic bar with curvilinear cracks are derived by using integration by parts and other techniques to the traditional boundary integral formulations. And the boundary integral equations for the torsion problem of an anisotropic bar with curvilinear cracks are also derived by using the isotropicalized boundary element method. Then the anisotropic problem can be solved on the base of the boundary element method of isotropic problem.

然后用各向同性化方法，将各向异性材料裂纹柱体的扭转问题转化为各向同性材料的问题，在各向同性材料裂纹柱体扭转问题的新的边界积分方程的基础上，推导出了适用于各向异性材料裂纹柱体扭转问题的边界积分方程，然后按已推导出的各向同性问题的边界元法求解。

The suggested explanatory framework is called AQAL; its orientation is an integral overview of indigenous perspectives; its social practice is an Integral methodological pluralism; its philosophy is Integral post-metaphysics; its signaling network is IOS — all third-person words for a view of the Kosmos in which first persons and second persons are irreducible agents, bearers of sentience and intentionality and feeling, not merely matter and energy and information and causality.

这个解释框架就是AQAL；其方向就是对本身透视的一个完整看法；其社会实践就是一个完整的方法论复合体；其哲学是完整的后形而上学；其信号网络是完整操作系统--所有第一第二人称无法观察宇宙而产生的第三人称，知觉，意图，感觉的传输者，不仅仅是物质，能量，信息和因果关系。

The triple integral computation's basic philosophy is turns the triple integral into three integrals, its key is the choice suitable coordinate system, the integral order and the limits of integration determination.

重金悬赏：下列中文翻译成英文，还有积分追加摘要：三重积分计算的基本思想是化三重积分为三次积分，其关键是选择适当的坐标系、积分次序和积分限的确定。

This paper puts forward the triangle element method for calculating gravity anomaly of three-dimensional sphere-coronal model by using the divergence theorem. In this study, the volume integration was changed into surface integral, a series of triangles were used to fit the surface, and then the Green's formula was adopted to change surface integral into line integral. At the same time, a reasonable calculation program was given.

提出利用高斯公式将体积分变成包围该积分域的全表面积，应用一系列三角形拟合计算表面，然后通过格林公式把对每个三角形的面积分变成对三角形每边的线积分之和的三角元法来计算三度体球冠模型重力异常，同时给出了合理的计算方案。

There was a higher integral of metastasis in E4 genotype group than others, and a lower integral of metastasis in E2 genotype group than others, Multiple regression analysis showed that genotypes were significantly associated with the TC TG HDL levels and integral of metastasis.

ApoE基因多态性对血脂具有显著影响，E3/3基因型的HDL水平明显高于E2基因携带者，且基因型与TC浓度、TG浓度、HDL浓度明显相关。

Don't listen to their haver, nothing of that sort.

别听他们胡说八道，根本就没那回事。

But bank's shares trade below their book value, suggesting that investors are skeptical.

但是，银行股票以低于账面价值的价格交易，这一点反应了投资者的怀疑。