查询词典 approximation methods in physics

The BEijing Spectrometer is an only large general purpose solenoidal detector at the BEPC, on which the physics is to study e+e- collide physics in 2-5GeV region , the emphasis is in the τ-charm physics and the topics include J/ψ physics,ψ(2S) physics, T physics, Ds physics, D physics and hadrons generation mechanism as well as the test of QCD in 2-5GeV.

经过中外科学家的共同努力，在北京谱仪上已作出了包括"τ轻子质量的精密测量"、"2-5GeV能区的R值测量"，以及在J／ψ、ψ(2S)、Ds介子等物理研究中的多项国际领先水平的重要科研成果，引起了国际高能物理界的普遍重视和广泛关注。

More than 30 kinds of meshfree methods are reviewed in this paper in the light of weighted residual method, and different meshfree methods can be viewed as different forms of weighted residual method and/or with different approximation functions. Various kinds of meshfree approximate schemes are presented in detail, including moving least square approximation, kernel and reproducing kernel approximation, partition of unity approximation, radial basis approximation, radial point interpolation and natural neighbor interpolation.

详尽介绍了各种无网格近似方案(包括移动最小二乘近似、核近似和重构核近似、单位分解近似、径向基函数近似、点插值近似、自然邻接点插值近似等)和无网格法中常用的各类加权余量法(伽辽金格式、配点格式、局部弱形式、加权最小二乘格式和边界积分格式等)，并讨论了数值积分方法和边界条件的处理等问题。

The second part has summarized from the one-dimension and multivariate respects the abundant approximation properties of Bernstein polynomials, mainly including the estimation of approximation degree, derivative approximation, linear combination approximation and weighted approximation.

第二部分从一元和多元两个方面系统总结了Bernstein算子丰富的逼近性质，主要包括逼近度估计、导数逼近、线性组合逼近和加权逼近等。

The close relationship between the Hybrid polynomial approximation and the classical Hermite polynomial approximation to rational curves and surfaces are studied, Hermite approximation is in fact a special case of Hybrid approximation. The sufficient and necessary condition for the convergence of Hybrid approximation to rational Bézier surface is deduced and proved.

围绕着有理曲线曲面的Hybrid逼近，作者研究了有理曲线曲面的Hybrid多项式逼近与传统的Hermite多项式逼近之间的密切关系，并指出Hermite逼近事实上是Hybrid逼近的一种特例，此后演绎并证明了有理Bézier曲面的Hybrid多项式逼近收敛的充分必要条件。

ABSTRACT This paper summarizes our researches on two key techniques in curve and surface modeling-the geometric approximation techniques and the geometric interpolation techniques. The former includes three types of geometric approximation techniques: Hybrid polynomial approximation to rational curves and surfaces, offset curves and surfaces approximation, interval Bézier curves and surfaces approximation. The latter includes a series of algorithms for shape blending modeling: the MSI algorithm for shape blending between space polylines or trees, the MSI algorithm for shape blending between triangular meshes, and skeleton-based shape blending algorithms using triangular decomposition and star-shape decomposition.

本文是作者对曲线曲面造型中两类核心技术几何逼近技术和几何插值技术的研究成果的总结，其中前者包括有理曲线曲面的Hybrid多项式逼近、等距曲线曲面逼近和区间曲线曲面逼近等三类几何逼近方法；后者包括用于形状混合造型的几何插值方法的一系列算法：空间多边形形状混合的MSI插值算法、三角网格形状混合的MSI插值算法、树的形状混合的MSI插值算法以及基于骨架树形状混合的三角剖分算法和星形剖分算法。

In generic mathematical approximation methods Chebyshev multinomial approximation algorithm has better effect on reducing approximation error. This paper brought forward a parallel Chebyshev multinomial approximation algorithm based on a unique representation of complex curve, and implemented the parallel program in two Java methods.

常用的数学逼近法中切比雪夫多项式拟和法误差较小，对此，提出一种基於复杂曲线表示的切比雪夫多项式拟合并行算法，并采用两种Java方案实现并行程序。

Modem medical physics should include 4 parts, medical imaging physics, nuclear medicine physics, radiation oncology physics, and health physics.

国际相关业界公认，现代医学物理学必须涵盖医学影像物理、肿瘤放射治疗物理、核医学物理和保健物理等重要内容。

In this paper, we mainly study the two problems of teaching and learning physics conception in basic physics, which is relate to Physics of middle school as well as the physics knowledge in the Course Nature of elementary school and General Physics of college.

本文主要研究基础物理中的物理概念的教与学两个方面的问题。本文所指基础物理主要是指中学物理，也泛指小学自然课中的物理知识和中专物理以及大学普通物理。

Secondly, relations between the structuralism and physics teaching illustrate that the physics history can play the role of "advanced organizer" in improving the transfer ability. Moreover, the theory of recapitulation of physics announces the inherent similarity between the process of physics research and the process of physics conception learning. According to constructivist learning theories, the dissertation explains the process of students' learning the scientific concepts.

首先论文通过分析比较皮亚杰认知发展论和库恩科学发展论得出教育实践应与科学发展规律保持一致，应重视物理学史在物理教学中的应用，对于不同认知水平的学生和不同类型的知识应采用不同的教学方法：其次从结构主义与物理教学的关系说明物理学史在提高迁移能力上可以扮演"先行组织者"的角色；再次，通过物理文化重演理论揭示人类研究物理学的过程与学生学习物理概念的过程的内在相似性，并根据建构主义学习理论解释学生学习科学概念的过程。

This book reviews the many areas of numerical analysis, including the configuration polynomial, finite difference, factorial polynomials, summation, Newton formula, operator and configuration polynomial, Cheung section, close polynomials, TaylM more item type, interpolation, numerical differentiation, numerical integration, and with the series, differential equations, differential equations, least squares polynomial approximation, minimax polynomial approximation, rational function approximation, triangular approximation, non-linear algebra, linear equations, linear programming, boundary value problems, MonteCarIo methods and so on.

本书综述了数值分析领域的诸多内容，包括配置多项式、有限差分、阶乘多项式、求和法、Newton公式、算子与配置多项式、祥条、密切多项式、TaylM多项式、插值、数值微分、数值积分、和与级数、差分方程、微分方程、最小二乘多项式逼近、极小化极大多项式逼近、有理函数逼近、三角逼近、非线性代数、线性方程组、线性规划、边值问题、MonteCarIo方法等内容。本书的特色主要表现在利用例题及大量详细的题解来透彻地阐明所述内容的内涵，同时附有大量的补充题以便读者进一步巩固和深化从书中获得的数值分析知识。

Many will continue to choose to live in duality and in conflict.

许多人将继续选择活在二元对立性和冲突中。

I find that students of the University of Physical Education all wear sportswear at first sight.

我发现：体育大学的学生乍一看，都是穿运动衣，大家都一样