| 1. | The density goes down exponentially with height .
分子密度随着高度的上升而指数衰减。 |
| 2. | It is easy to show, for an exponential decay, that the uncertainty in the life time is also z .
很容易证明，对于指数衰减来说，寿命的不确定性也是z。 |
| 3. | It is easy to show , for an exponential decay , that the uncertainty in the life time is also z
很容易证明，对于指数衰减来说，寿命的不确定性也是z 。 |
| 4. | The change of dynamic pressure in the orientation of wave spreading follows the damping of e - index 6
5 、堤心内沿波浪传播方向变化的动压遵循e指数衰减规律。 |
| 5. | We give a center manifold theorem in the neighbourhood of the equilibrium point , and prove that the center manifold is exponentially decaying
在此平衡点附近建立中心流形定理，并证明中心流形有空间指数衰减性。 |
| 6. | Discharge the capacitor to a load after it has charged fully enough , and this produces an exponential decay pulse ( edp ) on the load
通过开关式稳压电源产生高压直流，并控制该电压对电容器进行充放电就能输出指数衰减陡脉冲波形。 |
| 7. | A new type of wavelet - exponential damping wavelet is constructed to detect the knocking sound caused by mechanical faults in an engine , experimental results show that by this wavelet effective features of those faults can be extracted from noise signal
为了识别发动机噪声信号中表徵故障的间歇性撞击声，本文构造的一种新型的小波指数衰减型小波函数，它能有效地识别出间歇性撞击声。 |
| 8. | Using the canonical variable representation ( x , p ) , the light - damping oscillator is discussed by the corrected time - dependent perturbation methods of dirac , it is turned out that the energy levels have shift and breadth , and the wave function decaying with time exponentially
采用正则变数( x , p )表象讨论轻阻尼振子，并对量子力学含时微扰的狄拉克方法加以修改，得出量子能级有位移和宽度，以及波函数出现随时间指数衰减的行为 |
| 9. | We have deduced mathematical equations modeling its vibration and studied the stability of the semigroup associated with the equation system . we obtain the exponential stability under certain hypotheses of smoothness and structural condition of the coefficients of the system , applying the relaxation function decays exponentially . this result does not need the continuity of the damping coefficient at the interface
对于具有局部粘弹性阻尼的高维波方程的能量的指数衰减问题， liuetal . 51 }和riveraetal . 63分别对k一v型和boltzmann型的情形进行了研究，在假设了阻尼系数是光滑的并且附加了一些结构性条件的情形下，得到了指数稳定性的结果。 |
| 10. | During designing hardware circuit , we have used the supreme limitation to raise driving - ability and raise the distance of measurement to returning ware by taking some measurements just like multi - polar enlarging , according to the ultrasonic characteristic of index attenuation when it ' s spreading because we need to measure longer distance ( from several meters to dozens of meters )
在硬件电路的设计中，由于需要测的距离较长(几米到十几米) ，针对超声波振幅在传播时呈指数衰减的特性，最大限度地提高驱动能力，对回波进行多级放大，达到了设计要求。 |
