一道习题的解题过程

已知如图1正方形ABCD的边长为1,AB、AD上各有一点P、Q,如果△APQ的周长为2,求∠PCQ的度数．一、猜想当P无限靠近A时,△APQ的周长为2,则Q无限靠近D,因为∠DCA =45°,所以猜想答案为     

塑料与橡胶磨损金属的研究进展

综术字近４０年国内外关于塑料与橡胶材料麻损的研究进展,主要就金属的磨损率及其影响因素,塑料与橡胶磨损的物理效应及化学机制地概括论述,并针对高分子材料磨损金属的研究现状及其发展前景,提出了今后值得注意的几个研究方向。     

四阶强阻尼波动方程新混合元模式的高精度分析

本文针对四阶强阻尼波动方程研究一种新混合元逼近格式.基于双线性元Q11及其梯度空间Q01×Q10的高精度分析,并借助于插值后处理技术,在半离散和全离散格式下,分别导出原始变量u在H1模和中间变量p珝在L2模意义下相应的超逼近性质及超收敛结果.     

概率论——赌博引发的学科

在三四百年前的欧洲,有些贵族生活奢靡,精神空虚,成天无所事事.他们沉迷于各种赌博活动,从中寻求刺激.“掷骰子”就是当时很盛行的一种赌博方式. 骰子的形状是小正方体,其六个面分别刻有1、2、3、4、5、6个小点.当它被掷在桌面上时,每个面向上的可能性是相等的,也就是说, 出现1点至6点中任意一个点数的可能性是相同的,赌博时一般要用到两只骰子. 在众多的赌徒中也有一些具有数学头脑的人.为了能在赌博中获胜,他们开始琢磨诸如“两个骰子点数之和为7或8,哪种情况出现     

Microwave properties and surface topography of softmagnetic films with high resistivity

A single layer of CoFeB and a multilayer of CoFeB--MgO films are prepared by means of DC/RF magnetron sputter deposition. The excellent microwave properties and high electrical resistivity are simultaneously achieved in the discontinuous multilayer structure of [Co₄₄Fe₄₄B₁₂(0.7nm)/MgO(0.4nm)]_{40} film. This film has a high permeability ({μ \prime }) (larger than 100 below 2.1GHz), a high magnetic loss (μ') (larger than 100 in a range from 1.5 to 3.3GHz), a resistivity of 3.3× 10^*     

A Novel Ni/Ag/Pt Ohmic Contact to P-Type GaN for Flip-Chip Light-Emitting Diodes

We present a high-quality Ni/Ag/Pt Ohmic contact to p-type GaN. After the sample is annealed at 500℃ in 02 ambient for 3min, a specific contact resistance as low as 2.6 × 10^-5 Ωcm^2 and an optical reflectivity of 82% at 460 nm are obtained. The Auger electron spectroscopy analysis shows that the Pt layer can improve the surface morphology and thermal reliability of the annealed Ag-based electrode, Ag plays a key role in achieving good ohmic contact due to the outdiffusion of Ga into Ag forming Ga vacancies which increase the hole concentration, while the surface contamination of p-type GaN is reduced by Ni.     

Properties and Structure of a Plasma Non-Neutral Shock

The shock is described by the Navier-Stokes equations of the electron and ion fluids, and coupled with Poisson‘s equation for the self-induced electric field. Profiles of the flow and electric variables in the weak or moderate shock front with or without current for different Debye lengths are presented. Comparison of profiles of flow and electric variables in the front for different heat flow modes is given.     

地平式离轴扩束光学系统装调技术

为实现地平式离轴扩束光学系统的高精度装调,利用4D干涉仪加装平面镜头配合标准平面镜实现自准直检测,并针对实际使用过程中镜筒需要绕俯仰轴旋转的问题,提出一种动态检测方法。根据实际装调结果,建立空间直角坐标系,利用旋转过程中光斑最大偏离量计算二轴正交误差。装调结果表明,采用自准直检测及动态检测方法,主镜面形精度为0.028 8λ@632.8 nm,系统波像差RMS为0.131λ@632.8 nm,二轴正交误差为2.06″。     

基于多结构元素形态滤波与自适应阈值分割相结合的红外弱小目标检测

针对低信噪比灰度图像中弱小目标检测的难题,分析了红外弱小目标成像的特点,提出了基于多结构元素形态滤波与自适应阈值分割相结合的目标检测算法.利用目标运动的连续性、规律性和噪音产生的随机性,结合数学形态学结构元素的特点,研究了一种多结构元素形态滤波的管道滤波方法,通过流水线管道检测目标运动轨迹.实验结果表明,该算法应用于复...     

一个存在性问题

讨论了代数数域的扩张平移问题,证明了对给定的分解群的扩张平移的存在性,加强了Artin的一个存在性定理的结果。