谐振

Systematic study is carried out to the main factors that influence the levitation stability during containerless processing of materials. The effect of the medium density r f , sound speed c , gravitational acceleration g , and resonant states Hm on the acoustic containerless processing is revealed.

对材料声悬浮无容器处理过程中，影响悬浮稳定性的主要因素进行了深入研究，揭示了媒质密度 r f ，声速 c ，重力加速度 g 和声场谐振状态 Hm 对声悬浮过程的影响机制。

This course consists of three parts : A.The fundamental theory of gyroscopes. a.Kinematics and dynamics of gyroscopes, consisting of Coriolis acceleration, theorem of angular momentum, Euler's dynamical equations, dynamical explanation of gyroscopes' properties. b.Gyroscopes' motion equations, including the complete equations, technical equations and precession equations derived from Euler's dynamical equations, and the technical equations derived from static vs. dynamic method. c.Analysis of gyroscopes' motion. d.Coordinate systems and their mutual transformation. e.Gyroscope drift and its measurement. B.Principle of typical gyroscope instruments, such as gyro compass, gyro north finder, gyro horizon, platform compass, rate gyroscope and integrating gyroscope. C.Principles and applications of new-type gyroscpes, such as electrically suspended gyro, ring laser gyroscope, fiber optical gyroscope, hemispherical resonator gyro, dynamically tuned gyroscope and micro inertial sensors.

本课程教学内容由三部分组成：陀螺仪的基本理论，内容包括：陀螺力学基础（哥氏加速度、角动量定理和欧拉动力学方程、陀螺特性的力学解释）；陀螺仪运动方程和运动分析（用欧拉动力学方程建立完整方程、陀螺仪运动的技术方程和进动方程，用动静法建立技术方程）；坐标系及其变换；陀螺仪的漂移及其测试；典型陀螺仪器（包括陀螺罗经、陀螺找北仪、陀螺地平仪、平台罗经、速率陀螺仪和积分陀螺仪等）的工作原理；新型陀螺仪（包括静电陀螺仪、激光陀螺仪、光纤陀螺仪、半球谐振陀螺仪、挠性陀螺仪、微机械陀螺仪等）的原理及应用。

By using Haldane's harmonic-fluid approach—bosonization, we study the spin-1/2XY model in external magnetic field.

本文主要利用Haldane的谐振流理论——玻色化方法研究外场中的自旋-1/2XY模型。

One is the use of the Heisenberg correspondence for the harmonic oscillator in half space.

一个是海森堡对应原理在半空间谐振子中的应用的问题。

In this model, the Hamiltonian operator includes not only the anharmonic parameter, but also the dispersive parameters describing dipole-dipole interactions, reflecting the character of molecular stretching vibrations.

计算中引入的模型Hamilton算符所包含的描述U-F键非谐振动的参数λ和描述U-F键之间的偶极-偶极相互作用参数ε1，ε2由实验值得出，波函数|ψn〉按形式为|n，α〉=|n1〉|n2〉|n3〉|n4〉|n5〉|n6〉的基函数集展开，从而把复杂的Hamilton方程转化为简单的矩阵代数方程。

Using Density Function Theory we receive the ground states of GaN and GaN2 are X 、X2B2 respectively.Murrell-Sorbie analytical potential energy functions of GaN have been derived by using ab initio data and the least-square fitting method, and harmonic frequency, force constant and spectroscopic data also have been calculated.

基于量子化学计算得出GaN和GaN2 基电子态及其离解极限之后，利用计算数据和最小二乘法得到了GaN 的M-S解析势能函数，并计算出各态的谐振频率、力常数和光谱数据。

The results of the relation curves describe the relationships of the dimensions vs maximum displacement of the mass, the dimensions vs resonant frequency and the forced vibration responding of the mass's harmonic curve were also given.

同时，拟合出了悬臂梁及质量块的结构参数与质量块最大位移量和谐振频率的关系曲线，以及质量块受迫振动的谐响应曲线。

A Starting from a path integral representation, obtain the Greens function of a harmonic

从路径积分表示式，得到谐振子的格林函数

A Starting from a path integral representation, obtain the Greens function of a harmonic oscillator

从路径积分表示式，得到谐振子的格林函数

This equation of motion will be very useful in identifying simple harmonic motion and its frequency.

该运动微分方程於识别简谐振动及其频率时非常有用。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷