查询词典 approximation methods in physics

The conclusion is drawn through analyze and comparison between the solutions of zero and first order, second and first order that the particle drifts in the vertical direction of the magnetic field and its crosswise gradient in the approximation of first order. While the particle makes superimposed circle movement of uniform velocity in the approximation of second order.

通过分析比较1阶近似解与0阶近似解；2阶近似解与1阶近似解，得出由于1阶近似而引起粒子在与磁场方向以及磁场横向梯度方向垂直的方向发生漂移；由于2阶近似使得粒子在xy平面内做12W、3W、4W、5W、6W叠加的匀速圆周运动。

The TST was applied to multi-scaling vector to increase it's approximation order, and with PR condition, the dual of transformed multi-scaling vector was obtained. Then the special TST was taken for this dual, the dual of original multi-scaling vector with higher approximation order obtained, finally the multi-wavelet function with higher vanishing moment maybe constructed.

我们先对已知的尺度向量进行双尺度相似变换，以提高其逼近阶，再求出变换后的尺度向量的对偶，对这个对偶再进行特定的双尺度相似变换，就可得到原尺度向量的有高逼近阶的对偶，从而可能得到具有高阶消失矩的多小波函数。

In Chapter 1, we will briefly introduce Diophantine approximation and metric Diophantine approximation over the real number field and state some results which are important for our work.

在第二章，我们将介绍在正规Laurent级数体上的Diophantine逼近。第一节罗列了一些定义及我们即将使用的符号。

In the framework of the density functional theory, the structure of the α modification of zinc diphosphide (α-ZnP2) at the pressure from zero to 40 GPa is investigated by using molecular dynamics simulation, in which both the local density approximation and the generalized gradient approximation are employed.

利用密度泛函理论，分别采用广义梯度近似和局域密度近似对α-ZnP2在0~40GPa范围内的结构进行相关的分子动力学模拟，得到了它的压强-体积关系。

Based on conventional fuzzy control theory, an analysis of triangular partition fuzzy control is given to present several properties of TPFC: the fuzzy approximation mechanism, the approximation accuracy, entropy equalization, zero-error reconstruction and interpolative reasoning.

在研究经典模糊控制的基础上，本文分别从近似机理、精度分析、等熵设计、无偏差重构以及插值推理等不同角度对三角划分模糊控制进行了较系统的分析与研究，得出了用于HIFC设计与学习的一些重要结论。

The approximation solution of the biomathematical model of muscular blood vessel under the condition of the nonresonant case is obtained. The expansion method for two variables of perturbation theory is used and the approximation solutions are given to the biomathematical model of muscular blood vessel under two cases.

求得了具有小阻尼、硬外激励的肌型血管生物数学模型在非共振情形下的一次近似解，并利用两变量展开法，经方程演化，求得了具有小阻尼、弱外激励的肌型血管生物数学模型在非共振和共振两种情况下的首次渐近解。

We study some important topics such as the L_p-approximation, pointwise estimate and copositive approximation.

无论是所得结果还是所用的方法，都是对已有结果和方法的改进和创新。

We calculate its radialization correction and make the correlative discussion,obtain the cross section of electron-antielectron collision under chain approximation,and compare the tree-level cross section with the cross section under chain approximation.

对其辐射修正作了相关的计算和讨论，从而得到了电子-正电子碰撞在链近似下的散射截面，并与最低阶的散射截面作了比较

While approximation model is very close to actual model,and the precision of approximation is very high,the result of optimization is significant,and authentic;contrarily,the result of optimization is insignificant,and unauthentic.

近似模型和真实模型相差不大，近似的精度很高，优化出的结果就是有意义的，可信的；反之，优化出的结果就是没有意义的，不可信的。

I.! y P,{7 v: R; O0 D INTRODUCTIONIn most of the previous studies like [1-3], the effect of SRS in DWDM fiber opticsystems has been treated under various assumptions like undepleted pump approximation, wavelength independent fiber loss coefficient, triangular approximation of Raman gainprofile, negligible loss of energy whenever a short wavelength photon is transformed into a long wavelength photon (i.e., l i / l k ~ 1), equal power loading in all the wavelength channels and equal channel spacing.

P _ W/ I 在以往的绝大多数研究中，如[1-3]，人们都认为， SRS 在 DWDM 光纤系统中的影响是在诸多假设，如未衰减泵近似值，波长依赖光纤损耗系数，喇曼增益表的三角近似值，当短波光子被转变为长波光子时(i.e。， l i / l k ~ 1可忽略不计的能量损耗，各波长通道均等的动力负载以及均等的信道的频率间隔。

Objective:To compare the response control and attention of Schizophrenic patients with that of the healthy controls by Integrated Visual and Auditorycontinuous performance test. To quantitate the impairment of cognitive function in patients, and to explore the relationship between cognitive function and the severity of the disorder.

目的：探讨精神分裂症病人在IVA持续操作测试中的反应控制能力、注意力等，并与健康人进行比较，从而量化精神分裂症病人的认知功能损害，并进一步探讨其认知功能与疾病严重程度的关系。

Main effective factors including subcooling degree, mechanical vibration, gas hydrate reformation, environment temperature, noncondensing gas and surfactant are analyzed.

指出过冷度、机械振动、重复生成水合物、环境温度、不凝性气体、添加剂是影响气体水合物生成的主要因素，还对R152a水合物的放冷进行了实验研究。