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Actually, such a generalized Cauchy distribution was the Pearson VII probability distribution. In this dissertation, the Lorentz distribution was regarded as a generalized Cauchy distribution with only one scale parameter; while the Pearson VII distribution was regarded as a generalized Cauchy distribution with a scale and a shape parameter both.

因此，本文提出应在Lorentz分布的密度函数中再增加一个能够反映分布函数尾部特征的形状参数，希望通过该参数的可调节性进一步改善稀疏编码算法的自适应性。

We find that this new phenomenon is very interesting, and looks contrary to the usual Christiansen effect, but can be explained with Lorentz dispersion model accurately together, so we call it reverse-Christiansen effect. Exactly at this frequency, the refractive indices of these tow materials are equal, and absorption coefficients are very small.

我们发现，这个新现象非常有趣，它与克里斯坦森效应表面上相反，但都可用Lorentz色散模型给予精确地解释，於是称它为反克里斯坦森效应，在该效应出现的频率两种材料的折射率相等，且吸收系数都非常小。

Thirdly,quasi-normal inequalities of a-variation maximal operator and a-conditional variation maximal operator of scalar predictable tree martingales areidentified by the use of martingale transforms and by the construction of convex or concave function method;on this basis and with the help of previsiblity or regu-larity,Burkholder-Davis-Gundy\'s inequality of a-variation maximal operator and a-conditional variation maximal operator of scalar predictable tree martingales are iden-tified by the application of Hardy-Lorentz interpolation theory.At the same time,bythe use of G.

再次，应用鞅变换和构造凸或凹函数方法证明了标量值可料树鞅的α-方极大算子和α-条件方极大算子的拟范数不等式；然后，在这些拟范数不等式的基础上，应用Hardy-Lorentz空间插值方法证明了当树鞅是可控或正规树鞅时关于标量值可料树鞅α-方极大算子和α-条件方极大算子的Burkholder-Davis-Gundy's不等式成立。

It has been expounded and verified that AY can only be a fruitage of the process accumulation of the difference in physical elapsed-time caused by the different intrinsic-real velocity of physical clocks between the traveler and earth mainly in the two inertial phases,the Lorentz-Filtzgerald Contraction; which denies the SR's Key Gene and reveals:（1）The Absolute Reference System must objective-uniquely exist in the universe, and ①the Lorentz effect of whole universe relative to ARS all are IRPCE,②the time-space of ARS is isotropic and steady-homogeneous.

这是关于物理时空理论问题的第一个最重要的关键性奥秘！它彻底否定了KGS，揭示了"绝对参照系和相对于ARS的Lorentz-Filtzgerald效应客观存在的必然性"，表明狭义相对论是核心灵魂缺失了的片面性理论。

Under the framework of the Vierbein representation of the local Lorentz group gravitational gauge theory, the exact expressions of the energy momentum and the power flow density and total radiation power of the exact cylindrical gravitational waves of Einstein and Rosen are given in this paper.

在Vierbein 表述的局域Lorentz群引力规范理论框架下，给出了Ein－stein－Rosen 严格柱面引力波的能量动量、功率流密度和辐射总功率的严格表达式。讨论了波的各部分之间的互作

For the plane wave of laser without pulse shape, we derive the express of electron trajectory by the relative Lorentz and energy equations. Note that the orbit of electron becomes a "fat-8" in the average rest frame. For the plane wave of Gaussian laser, we may know that, through relative Hamilton-Jacobi equation, electrons are accelerated in the front of pulse and decelerated backward. Whereas for the non-plane wave of Gaussian laser, we solve the Lorentz and energy equations by fourth order Runge-Kutta method.

对于无脉冲形状的激光平面波是从考虑了相对论效应的Lorentz方程和能量方程出发，得到了电子的运动轨迹方程表达式，在纵向平均速度参照系下该电子的轨迹呈现"8"字形；对于高斯型单色激光平面波是从相对论Hamilton-Jacobi方程出发，得到激光平面波在脉冲前沿加速电子而脉冲后沿减速电子，电子能量增益为零；而对于高斯型单色激光非平面波是从拉格朗日运动方程和能量方程出发，通过四阶Runge-Kutta法数值求解，得到电子在纵向有质动力、横向电场作用下加速电子，最后在强大的横向有质动力作用下从脉冲侧面散射出去，可以获得很大能量增益本文得到了相应的电子瞬时动量解析表达式。

The electrons are accelerated in the diffusion region near the X point, and the acceleration process can be roughly into two steps : firstly the electrons are accelerated in the z direction due to the electric field, then, they gyrate surrounding the magnetic field with the action of the Lorentz force and get higher velocity in the x direction.

电子在X点附近扩散区中被加速，且加速过程分为两步：先由z方向电场加速，进而在Lorentz力作用下，使其绕磁场回旋并在x方向获得高速度。

The relation between the center of time gravity of the ultrashort pulse and the carrier phase was studied by using three kinds of pulses,named Gauss,Hyperbolic Secant and Lorentz pulses.The analytical expressions of the relation between them was deduced.

以Gauss、Hyperbolic Secant、Lorentz三种脉冲为例，利用理论推导和数值模拟的方法研究了载波相位对超短脉冲时间重心的影响，并给出了三种脉冲的时间重心与载波相位的解析表达式和数值模拟的图形。

When electron accelerates, its charge quantity won't change, as a result, its electromagnetic mass is constant, and the electromagnetic mass won't satisfy Lorentz transformation,thus, there is obvious inconsonance if we treat electromagnetic mass as a part of the gravity mass ---- as long as we insist the idea that the charge quantity of any electron is a constant.

当电子加速运动的时候，其电量是不会改变，所以其电磁质量不会发生改变，电磁质量不满足Lorentz transformation，因此把电磁质量作为引力质量的一部分存在着不协调性——只要维持电子电荷值不变的观念，这个问题不管怎么也解释不通。

The effects of the Lorentz force could be interpreted as a process of radial transfer.

在开断大电流时，Lorentz力与惯性力在数量级上是相比拟的，其影响大于SF〓气体粘滞力的影响。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。