查询词典 integral

In this paper, find Euler's formula using double integral , power series convergence and uniform convergence in the convergence region.

本文利用二重积分公式，幂级数在收敛区间内的收敛性质、一致收敛性质及可逐项积分的性质来证明Euler公式

In chapter 2, we point out that some condition of a convergence theorem of generalized fuzzy integral in [8] (Theorem 1) is not valid by a counterexample.

通过一个反例，指出了文[8]给出的一个广义模糊积分序列的收敛定理(即定理1)中，有的条件不合理。

Secondly,at satisfying certain conditions, we obtain some convergence theorem,which is similar with the classical Lebesgue integral.

最后，在模糊测度空间上针对这种积分讨论了T—模糊值积分方程，获得一些重要结果。

The integral equation is convergent for any conductivity distribution and frequency if iterative solvers are used.

提出一种应用迭代法求解新积分方程的迭代初值优化选择方法，并通过具体算例对比说明该方法可使频率域电磁测深三维模拟的计算效率得到有效提高。

Their application of convex body and geometry probability is the important theory in integral geometry and convex geometry, One can study the geometric invariants and geometric probability and other issues.

它们在凸体和几何概率中的应用是积分几何和凸几何的重要理论，通过它们可以研究几何不变量和几何概率等相关问题。

In this paper. we discuss the history origin of integral geometry, its product anddevelopment in the introduction. Also. the kinematic in-variant density formulas forpairs of needles and lines in R~2 and R~3 the concept and properties of chord-powerintegrals of a convex body are introduced in brief.

本文在绪论部分综述了积分几何与几何概率的历史渊源及它的产生与发展，简单介绍了R~2和R~3上点偶、线偶的运动不变密度公式以及凸体的弦幂积分的概念和性质。

First, We discuss the relationship between the width integral of convex body and dual quermassintegrals when i∈R, and we obtain Some inequalities and extremum properties.

我们获得了凸体i—次宽度积分的Blaschke-Santalo不等式，并建立了凸体i—次宽度积分Aleksandrov-Fenchel不等式的局部形式。

Based the new definition of double chord-power intergral which the pair of lines intersect the convex body in integral geometry, this paper studies the relationship of double chord-power intergral and chord-power intergral.

本文给出了积分几何中的最新定义：随机直线偶与凸体相交的双弦幂积分概念，利用积分几何的分析方法，研究了双弦幂积分的对称性，次可加性等性质及双弦幂积分与弦幂积分的相互关系。

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In this paper, taking the downward continuation of potential field as an inverse problem of upward continuation, we obtain a convolution type linear integral equation for downward continuation. Making use of the orthogonal symmetry characteristic of Fourier transform matrix, and combining the principles of singular value decomposition of matrix and generalized inverse, we proposed a stable generalized inverse method for downward continuation of potential field, called wavenumber domain generalized inverse algorithm, which doesn't need the computation for inverse matrix. It resolves the instability of potential field downward continuation of large depth.

本文通过把位场向下延拓视为向上延拓的反问题，得到向下延拓的褶积型线性积分方程，再利用Fourier变换矩阵的正交对称特性，并结合矩阵的奇异值分解和广义逆原理，提出了一种稳定的不需要进行求逆运算的位场向下延拓广义逆方法——波数域广义逆算法，解决了位场大深度向下延拓的不稳定性问题。

Diabetes is a social disease that affects several million people worldwide.

糖尿病是一个社会性疾病，全世界有数百万人罹患此病。

I'll call you on Friday to see if we can reschedule our luncheon meeting at your convenience.

我星期五会给您打电话在您方便的时候我们重新安排我们的午餐约会。