Bush连续不可微函数的分形性质

本文对用递推关系确定的Bush连续不可微函数,找出了迭代函数系(IFS),从而得到它的级数表达式和所具有的自仿射分形的有关性质.最后还计算出函数图象的Hausdorff 维数的准确值.     

轴流泵端壁区域流动三维粘性数值计算

本文采用通用流场分析软件FLUENT,基于N-S方程,选用RNG κ—ε湍流模型与SIMPLEC算法,对轴流泵叶轮内部(及端壁间隙)流动进行了三维粘性数值计算。通过实验验证,表明数值计算结果和实测数据吻合较好。详细分析了叶顶附近流场形态以及叶轮出口轴向、周向速度分布,进行了性能预估。并给出了实验装置图。     

Feynman propagator for an arbitrary half-integral spin

Based on the solution to Bargmann-Wigner equation for a particle with arbitrary half-integral spin, a direct derivation of the projection operator and propagator for a particle with arbitrary half-integral spin is worked out. The projection operator constructed by Behrends and Fronsdal is re-deduced and confirmed and simplified, the general commutation rules and Feynman propagator with additional non-covariant terms for a free particle with arbitrary half-inteRzal spin are derived, and explicit expressions for the propagators for spins 3/2, 5/2 and 7/2 are provided.     

Sound Field Calculations of Elliptical Pistons by the Superposition of Two—Dimensional Gaussian Beams

We present an alternative approach to calculate the sound field of ultrasonic transducers.The distribution function of sources is expanded into the superposition of a series of two-dimensional Gaussian functions.The corresponding radiated sound field is expressed as the superposition of these two-dimensional Gaussian beams and is then reduced to the computation of these simple functions.This treatment does not require the condition that the shape of the source is of circular axial symmetry.A numerical example is presented for the uniform elliptical piston transducer and this is in good agreement with the results given by complicated computation.     

科学出版社物理类新书推荐

比利时的物理学家使用高速摄像机首次观察到液体中“反气泡”的形成、运动和崩溃过程(DorboloSetal.NewJ.Phys .,2 0 0 4 ,5 :1 61 ) .众所周知,气泡是一球形的液体薄膜,里面包着空气,外面又被空气包围着.而反气泡,顾名思义,则是一球形的空气壳,里面包着液体,外面又为液体所包围.在液体中气泡会升到液面上来,而反气泡则沉到液体底部.比利时Liege大学的StephaneDorbolo等缓慢地将肥皂水倒入一个装有同样肥皂水的玻璃容器中.他们观察到在液面下产生了一注液体小球,然后,这注小球破裂成一系列反气泡.反气泡存在了两分钟之久.反气泡崩溃的方…     

POROSITY CALCULATION OFMIXTURES OF FIBROUS PARTICLES

The initial forming of fiber blend to high green density, i.e. the packing of fibrous particles, is important to the reinforcement of composite materials. It is very useful to develop a general predictive method for the optimum selection of particle mixtures for the property control of ceramic or composite products. This paper presents such a mathematical model developed on the basis of the similarity analysis between the spherical and non-spherical particle packings and assesses its applicability to the packing of fibrous particles with discrete and/or continuous length distributions. The results indicate that the model can predict this packing system well and hence provide an effective way to solve various packing problems in the composite materials processing.     

BAHADUR ASYMPTOTIC EFFICIENCY IN A SEMIPARAMETRIC REGRESSION MODEL

ＢＡＨＡＤＵＲＡＳＹＭＰＴＯＴＩＣＥＦＦＩＣＩＥＮＣＹＩＮＡＳＥＭＩＰＡＲＡＭＥＴＲＩＣＲＥＧＲＥＳＳＩＯＮＭＯＤＥＬ￥ＬＩＡＮＧＨＵＡ；ＣＨＥＮＧＰＩＮＧＡｂｓｔｒａｃｔ：ＴｈｅａｕｔｈｏｒＳｇｉｖｅＭＬＥθ１ＭＬｏｆθ１ｉｎｔｈｅｍｏｄｅｌＹ＝θ...     

浅谈“左手拨珠——双手拨珠”提高脑算珠图像的质量

在培训少年珠算式脑算选手的过程中，根据我们的亲身体验，认为先训练学生左手拨珠，待熟练后，再引进右手拨珠，最后左右手同时拨珠，双手联珠并能和谐运用，不但能提高计算速度，而且对脑珠算图像的形式和提高其质量都有很大的促进作用。实践证明，这也是培训珠算式脑算选手比较好的方法。     

基于第二类Chebyshev多项式零点的Pal-型插值多项式的逼近

设{x_k}_(k-0)~n是n 1次多项式U_n(x)=(1-x~2)U_n(x)的零点,其中U_n(x)是第二类Chebyshev多项式。设是的零点。根据Pal的插值理论,对函数f∈C~1[-1,1],存在唯一的2n 1次多项式满足条件: 本文研究用Pal型插值多项式对函数f∈C~r[-1,1](r≥1)和它的导函数的逼近。     

聚醚醚酮链结构与反应的模型化合物的量子化学研究

利用ＡＭ１方法对聚醚醚酮模型化合物全优化，结果为：芳环平均相互扭转角为３３．０度，桥键角１１７．０－１１８．０度，其分子结构拓扑图形表明：所有苯环（核）为平面构型，但其内角扭曲；其氢原子对苯环构型无实质性贡献，在更长链的计算中，冻结苯核与氢原子也得出满意结果，根据Ｍｕｌｌｉｋｅｎ键序与电荷讨论了醚交换与磺化反应。