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Firstly, Wavelet-Galerkin algorithm for solving the first kind of singular integral equation with the Hilbert kernel is proposed, we use the characteristic of periodic wavelet on L~2([0,1]) and Hilbert kernel to solve and make stiff matrix lower dimensions and become sparser through thresholding,thus the cost of computation is reduced. Because of the singularity of Hilbert kernel we use Tikhonov regularization method to solve the system of stiff equation. At last the convergence and numerical result of approximate solution are given. Secondly, an approach of regularization based on Fourier is presented for sideways heat equation; we give the theory proof and error estimate.

首先,提出了含Hilbert核的第一类奇异积分方程的小波伽辽金(Wavelet-Galerkin)数值算法,该算法中利用了L~2([0,1])上的周期小波和Hilbert核的特点进行处理,使得刚性矩阵维数降低并且通过阈值使得它更加稀疏,减少了计算量;由于Hilbert核的奇异性,通过Tikhonov正则化方法求解所得到的刚性方程组,给出了收敛性和数值结果;其次,对标准的一维逆热传导方程给出了一种基于Fourier正则化方法,给出了理论证明及其误差估计,解决了文献中算法与理论误差估计的不相匹配的现象,该正则化方法不仅保留了测量数据的部分高频成份,且与文献中的算法具有同样的计算量和误差估计。

This are algorithmic need the linear combination that seeks control quantity to express to be disperse Legendre orthogonal polynomial, will beg control to measure problem translate into to beg question of coefficient of disperse Legendre orthogonal polynomial.

该算法把待求控制量表示为离散Legendre正交多项式的线性组合,将求控制量新问题转化为求离散Legendre正交多项式系数新问题。

The negative binomial distribution, gamma distribution, and log-normal distribution were chosen as error distributions according to log-linear regression of variance versus log-mean of CPUE.

根据鲐鱼单位捕捞努力量渔获量数据呈正偏,以及CPUE均值与方差在对数尺度下的线性关系,选择了负二项分布、伽马分布与对数正态分布作为误差分布。

It is also pointed out that an n-mode boson coupled quadratic Hamiltonian can be diagonalized by a "negative unitary" matrix which is an element of complex symplectic group SP(2n,c),and an n-mode fermion coupled quadratic Hamiltonian can be diagonalized by a unitary matrix which is an element of complex fermion group F(2n,c).

并且指出,对于n模玻色子耦合二次型哈密顿量,通过一个负幺正矩阵它是复辛群SP(2n,c的元素可以把它对角化;对n模费米子耦合二次型哈密顿量,通过一个幺正矩阵它是复费米群F(2n,c的元素可以把它对角化。

Objective We provided the reference for diagnoses in Othodontics of total dental space analysis. Method This study randomly collected 140 Chinese students(60 male, 80 female) who were from eithteen to twenty five years old with third molars completely erupted.

正畸诊断和治疗应考虑全牙齿及其周围环境的影响,解除牙列中各个区域的牙量骨量不调,但目前国内正畸医师在错畸形的诊断、治疗中,比较注重牙弓前、中段的牙量骨量分析,却忽略了牙弓后段的分析[1] 。

Rete mirabile,ovary, and Liver from normal eels or eels injected with hypophysial factors were used to investigate the expression of VEGF A, PTEN, IGF-1, and Flk-1 by RT-PCR in vivo.

在卵巢组织中,PTEN表现量与组织增长呈正相关,与VEGF表现量呈负相关,且卵巢生长质量相对於VEGF/PTEN比值呈高度正相关。

In order to study the transitions between quarks, we integrate out the effective antiquark fields and get a form of effective Lagrangian in terms of effective quark fields.

为方便描述正夸克间的跃迁过程,将上一步得到的有效拉氏量中有效反夸克场积分出去,从而在拉氏量中仅明显包含有效正夸克场。

Integrating out the small parts of the quark and antiquark fields but keeping both the quark and antiquark freedom in QCD, we get an effective Lagrangian which contains quark, antiquark and quark-antiquark mixing terms.

从QCD拉氏量出发,同时保留其中正,反夸克自由度贡献,仅将正,反夸克场中的小分量积分出去而得到一个包含正夸克项,反夸克项及正反夸克耦合项的拉氏量。

The triceps skinfold thickness, BMI and age are significantly positively related with the systolic blood pressure in elderly men; diastolic blood pressure is negatively related with age and positively with BMI and mid-upper arm circumference.

三头肌皮褶厚度、体质量指数和年龄与老年男性收缩压呈显著正相关;舒张压与年龄呈显著负相关关系,而与体质量和上臂围呈正相关关系。

If the positive density difference is larger, both the blending volume of displacement fluid and displaced fluid is larger.

对于流体在管内的顶替流动,正密度顶替时,密度差越大,顶替液和被顶替液的掺混量越大;负密度差顶替时掺混量比正密度差顶替小。

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推荐网络例句

They weren't aggressive, but I yelled and threw a rock in their direction to get them off the trail and away from me, just in case.

他们没有侵略性,但我大喊,并在他们的方向扔石头让他们过的线索,远离我,以防万一。

In slot 2 in your bag put wrapping paper, quantity does not matter in this case.

在你的书包里槽2把包装纸、数量无关紧要。

Store this product in a sealed, lightproof, dry and cool place.

密封,遮光,置阴凉干燥处。