几个三角公式、定理的几何解释

把两个斜边分别为a、b的直角三角形按如图所放．     

双曲线中几个有趣的定值

在圆锥曲线中，蕴涵着许多结构新颖独特、内容丰富多彩的性质，我在学习过程中发现，双曲线中有几个有趣的定值，介绍如下．     

Spatial coherences of the sound pressure and the particle velocity in underwater ambient noise

The spatial coherences were investigated between the sound pressure and the three orthogonal components of the particle velocity in underwater ambient noise. Based on the ray theory, integral expression was derived for the spatial coherence matrix of the sound pressure and the particle velocity in a stratified ocean with dipole noise sources homogenously distributed on the surface. The integrand includes a multiplying factor of the vertical directivity of the noise intensity, and the layered ocean environment affects the spatial coherences via this directivity factor. For a shallow water environment and a semi-infinite homogenous medium, the coherence calculation results were given. It was showed that the sound speed profile and the sea bottom could not be neglected in determining the spatial coherences of the ambient noise vector field.     

高中数学基础练习(四)

练习31 1.在复数集内因式分解: 答: 2.当实数a为何值时,复数(a~2-1) (a~2 a-2)i是纯虚数。答:a=-1。 3.求i~(66) i~(77) i~(88) i~(99)的值。答:0.     

欢迎有敬业精神的同志自荐为本刊编委

本刊编委产生的方式有三种：自荐、推荐和聘请，自荐是本刊提倡的方式。凡不计报酬、乐意献身于科技期刊出版事业、基本具有副高级以上技术职称的同志,都可以自荐为本刊编委。自荐者可与本刊联络处联系，地址：北京市81信箱66分箱 刘建林，邮政编码：100095。 《光谱实验室》编辑部     

数字8、9、10的“较量”

a＋b≥2√ab（a〉0，b〉0）其中当a—b时，a＋b=2√ab，对于这个公式想必各位同学再熟悉不过了，而今天我们要谈的错解纠正也是关于这个的．     

一个不等式的加强及应用

文[1]给出了一道不等式的证明：