This paper deals with the possibility of generation of uniform strength cylindrical or spherical shock wave from an initial uniform plane shock by two dimensional configuration of the wall of the shock tube. It is shown that this problem has a solution, in the frame of Whitham's theorySaill...
{eng}, pages = {165--210}, publisher = {Elsevier}, series = {Acoustic, Electromagnetic and Elastic Wave Scattering, Field Representations and Introduction to Scattering}, title = {Transformation properties of plane, spherical and cylindrical scalar and vector wave functions}, volume = {1}, ...
On the Classification of Rational Plane Curves of Type (d,m) Let CP=P(C) be a rational plane curve of degree d and let ν denote the maximal multiplicity of the singular points of C. We say that C is of type (d,ν)... M Abuelhassan - LAP LAMBERT Academic Publishing 被引量: ...
It was surprising to find the extension to a plane wave firstly claimed by Rubinowicz (see Ref. [4]) was given without any proof. The form of this transformation does not follow as a simple limiting case. This paper shows a direct proof of this extension....
A dilation of the plane−that is, a size transformation with a positive scale factor−sends the circle of radius 2 centered at A(2,2) to the circle of radius 3 centered at A′(5,6). What distance does the origin O(0,0)
A transformation from the z-plane to the w-plane is given by w= (2z-1)(z-2) Show that the circle |z|=1 is mapped onto the circle |w|=1. 相关知识点: 试题来源: 解析 Rearrange to get z= (2w-1)(w-2). |z|=1⇒ |w-2|=|2w-1| Substituting u + iv for w and squari...
1. Introduction It is well known [1–4] that the Kirchhoff diffraction formula for a spherical wave at an aperture A in a plane perfecting absorbing screen can be expressed as a line integral over the line boundary of the aperture itself (Maggi–Rubinowicz transformation). Because Kirchhoff ...
摘要: The formation of α1 plates during isothermal aging of a Cu-26.7 wt pct Zn-4.0 wt pct Al alloy at 150 °C to 350 °C follows thermally activated incubation kinetics. Early stage α1plates possess an...关键词:Martensite Material Transaction Habit Plane Near Neighbor Random Fault ...
Based on the equations of elasticity theory and hydroacoustics, we calculated the field structures arising when a plane wave is incident on an infinite cylindrical cavity with circular cross section filled by a liquid. The variable pressure component on the cavity axis for longitudinal and shear inc...
Accordingly, it follows that the block graph of every nontrivial component of Z( G) is a path. In addition, we give a simple characterization for a maximum matching of G being a cut-vertex of Z( G). 展开 关键词: Plane bipartite graph Perfect matching Maximum matching Z-transformation ...