非公式的

To a one-dimension case, the solution to the distribution of non-monotone function is given; to a two-dimension case, the transformation of random variable and the computation formula of its probability density are given when inverse transform has one value and multiple value, meanwhile, several deductive conclusions are obtained.

从一维与二维随机变量函数的分布的一般求法出发，对一维情形，给出了当随机变量函数非单调时其分布的求法；对二维情形，用随机变量变换的方法分别给出了当逆变换单值与多值时其分布密度的计算公式，并得到了若干推论。

And by using the initial conditions as well as the end conditions, the dynamic problem is then transferred to a second kind Volterra integral equation about the function of the axial strain with respect to time which can also be solved successfully by the interpolation method. For piezoelectric and pyroelectric hollow cylinders, by following the solving procedure for elastic hollow cylinder and by using the electric boundary conditions, the dynamic problems are transferred to two Volterra integral equations about two functions of time, one is axial strain and the other is related to electric displacement, which can also be solved efficiently and quickly by employing interpolation method. The elastodynamic solutions of hollow spheres, which are made of elastic, piezoelectric and pyroelectric materials, respectively, for spherically symmetric problems are also obtained.

对于弹性空心圆柱，通过引入一特定函数将非齐次边界条件化为齐次边界条件，然后利用正交展开技术，导出关于时间函数的方程，再结合初始条件和端部边界条件，将原问题转化为关于一个时间函数的第二类Volterra积分方程，运用插值法可给出此积分方程的解；对于压电和热释电空心圆柱，利用求解弹性空心圆柱相似的方法，再结合电学边界条件，原问题转化为关于两个时间函数（轴向应变和与电位移有关的函数）的第二类Volterra积分方程组，同样可用插值法来构造相应的递推公式高效地求解此积分方程组。

The influent factors to the sensitivity have been reaserched with the values of magnetostriction λ〓, the making and the size of the toroidal core's, heatreatment and so on, and the conversional mechanism between pressure and voltage have been discussed. The experience calculating formula of the sensitivity to pressures was concluded, and it will be useful to the designning and application of the force transducers.

对非晶带的磁致伸缩系数λ〓、环形铁芯的尺寸及制作、热处理等因素对压力—直流电压转换灵敏度的影响进行了研究，并对压力-电压转换的机制进行了探讨，总结出了压力-直流电压转换灵敏度的经验计算公式，对压力传感器的设计和应用提供了依据。

The reestablish and error estimation formulas of the non-noise signal under the finitive scale condition is given for the basic filtering operation of high pass, low pass, and band pass respectively. The signal Wavelet analysis softwave developed, which is of some common use, and is served as the basis of the research following it, is also introduced here.

第二章首先建立了突变信号的数学模型；导出了对突变信号进行连续小波分析的尺度截取准则；分别针对突变信号进行高通、低通和带通三种基本滤波操作的情况，给出了在有限尺度分析情况下的非噪部分信号的重建估计和误差估计公式；并介绍了所开发的作为后续工作的基本分析工具、具有一定通用性的信号小波分析软件。

A new method is put forword which assures aiming accuracy by corrceting aiming angle instead of leveling launcher, as there remain many problems in multitube rocket launcher adopting leveling launcher to assure aiming accuracy.

针对多管火箭发射车采用调平保证瞄准精度存在的问题，提出根据发射车纵轴、横轴的倾角值，推导出瞄准角修正量的计算公式，实现不进行发射车调平而采用瞄准角修正的方法，来保证瞄准精度，达到缩短发射准备时间，实现非预设阵地的发射。

In the buckling question under nonconservation force,a simply example( the dynamic stability question under the uniformly follower forces with small deformation % linear elastic, straight normal.) is considered.The variational equation of braid composite cylindrical shells subjectd to uniformly follower forces is deduced based on the variation principle of quasinatural frequency of elastic nonconservative system self-excited vibration.The calculated formulas of the flutter load and quasinatural frequency of shells are obtained. The program for calculating the flutter load is developed.The numerical example is given and some useful conclusions are obtained.

对非保守力作用下的屈曲问题，具体研究了圆柱壳在比较简单的情况，即小变形、线弹性、直法线假设下在随动力作用下的壳屈曲问题，由拟固有频率变分原理推出了圆柱壳受随从力作用的变分方程，得到了颤振载荷与壳弯曲的固有频率的计算公式，编制了相应的计算机程序，并给出了具体算例，得到了一些有益的结论。

Give out the trigonometric function solutions of fourth order equations, as a example with rectilinearly accelerating the Kerr black hole, the event horizon of non sphere symmetric and non stationary black hole are studied.

给出了具有实用价值的四次方程的三角解正根公式，并以匀加速直线运动的Kerr黑洞为例，成功的研究了非球对称动态黑洞的&类视界面&。

A finite-difference time-domain algorithm is applied to study the one-dimensional unmagnetized plasma photonic crystals with time-varying, collision, warm, isotropic plasma.

采用时域有限差分法给出了电磁波通过时变的、各向同性的、热的、碰撞的等离子体构成的一维非磁化等离子体光子晶体的FDTD算法公式。

According to the process of the mutual reaction of the population number at each energy level of the un-equilibrium mixed gases flowing in flow laser and the intensive emission reaching the stable oscillation, and the numerical simulated calculation results of the corresponding 3-dimensional distribution states, the simplified calculation formulae of the basic properties of the corresponding oscillator and amplifier are developed.

根据流动激光腔中流动的非平衡混合气体各能态布居数和强辐射相互作用达到稳定振荡的过程和相应的三维分布状态的数值模拟计算结果，发展了相应的振荡器和放大器基本特性的简化计算公式。

According to density of particle numbers and energy of perfect quantum gas ,by strict theoretical calculation ,the energy of non relativity and relativity about perfect quantum gas under high temperature and low density is given.

根据理想量子气体的粒子数和能量的密度，通过严格的理论推算，给出理想量子气体在高温低密度条件下非相对论和极端相对论能量；再由巨正则系综中能量和压强相对涨落的公式，采用合理的近似方法，给出巨正则系综能量和压强相对涨落的严格解，并将其与正则系综对比，完备地展示两种系综在强度量的涨落方面热力学的等价性和个性差

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。