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In this paper, we study an approximate solution of the second-order linear ordinary differential equations with variable coefficients .

本文研究了二阶变系数线性常微分方程的一种近似求解方法。

Based on the theory of mechanical energy conservation,a compressible non-Newton fluid flowing ordinary differential equation on pressure is found by deducing and simplifying the academic formulas with considering the pressure gradient of acceleration,consummating the state equation of foam by using Berthelot second virial coefficient,and logical assumptions.

基于机械能守恒原理,考虑加速度压力梯度项,以Berthelot第二维里系数完善了泡沫流体的状态方程,结合了合理的假设,通过对理论公式推导和化简,得到了非牛顿流体可压缩流动的关于压力的常微分方程。

Instead of Gronwall\'s inequality,the non-linear Bihari inequality is crutial in dealing with the non-Lipschitz equations.Moreover,we emphasize that the dominating functions in non-Lipschitz conditions always satisfy concavity and some non-integrability near zero.The concavity is for using Jensen\'s inequality.Because of the non-integrability near zero,we can apply the comparison theorem of ordinary differential equations together with Bihari\'s inequality to yield many results.

3作为Gronwall不等式的推广,Bihari不等式在处理具有非Lipschitz系数的方程时不可或缺;同时应当注意,非Lipschitz条件中所涉及的控制函数总是满足凹性和某种零点处的不可积性:凹性是为了利用Jensen不等式;零点处的不可积性使得Bihari不等式与常微分方程中的比较定理结合在一起从而完成很多结论的证明。

Movement stabilization criterion of nonlinear relative rotation system was obtained by transferring the fundamental matrix of the solution of the ordinary differential equation to Jordan canonical .

利用一类周期性变系数线性常微分方程解的基本矩阵的Jordan形,分析一类非线性相对转动系统扭转的运动稳定性,从而得到非线性相对转动周期系统的运动稳定准则。

Under constant groundwater table boundary condition,water content distributions along the heights of capillary rise of samples under three different compactness are presented in this paper.And the isothermal moisture diffusion coefficient was also obtained by Bruce method.

在常地下水位边界条件下,获得了三种不同压实度土体的含水量随高度的分布规律,并利用Bruce推导的方法计算了等温水分扩散系数。

From the relationship between two subpopulations,the mean differentcoefficient,mean similar coefficient,Nei'genetic distance and AMOVA results were27.965;0.674;0.062;0.105 for Cryptocarya chinensis.

从两两亚种群间关系看,针阔叶混交林亚种群-常绿阔叶林亚种群之间的平均相异系数分别是27.965;平均相似系数分别是0.674;Nei遗传距离分别是0.062;AMOVA分析中的ΦST分别为0.105。

This one-way wave equation fits eikonal equation and transport equation corresponding to full acoustic wave equation in travel-time and first order amplitude. According to the perturbation theory often used in inverse solution, we split the velocity field into intraformational constant velocity background and variable velocity disturbance. Then we calculate time-shift quantity of migration and amplitude correction coefficients for wavefield depth continuation in total uniform formation and each formation.

基于反问题求解中常用的摄动理论,把速度场分裂为层内常速背景和变速扰动,求得整个均匀层波场深度延拓的偏移时移量及振幅校正系数、各层的偏移时移量及振幅校正系数,从而得到一个基于傅里叶有限差分法的双域保幅叠前深度偏移算子方程。

A kind of charge structure which is only used to reduce ballistic temperature coefficient of high & normal temperature while unchange the coefficient of normal or low temperature is developed. The mechnism that this propellant takes effect and the conditions which the propellant should have are advanced.

试制了一种只降低高常温弹道温度系数但不改变常低温弹道温度系数的装药结构,提出了这种低温感包覆火药应具备的条件和发生作用的机理。

The concrete dam displacement is studied considering the factors such as foundation modulus increasing with depth, seepage coefficient reducing as depth, seepage coefficient anisotropic, curtain and drainage in the dam heel and seepage field and stress field coupling. Some conclusions are obtained: if the foundation is considered only with the seepage volume load, the dam top horizontal displacement of the reference base point develops upstream. When the foundation size increases, the reference base point's horizontal displacement increases. However, the value measured by the reversed pendulum anchored to the rock foundation is often regarded to be absolute displacement. The above practice is estimated to be limited when the water load on the dam foundation is taken into account.

分析了地基变形模量随深度逐渐增加、渗透系数随深度逐渐减小、坝基渗透系数各向异性、坝踵设置帷幕排水,以及考虑渗流场和应力场耦合等对混凝土坝位移分量的影响,得出如下结论:作用在地基上的水荷载,使混凝土坝坝顶相对参考基点(倒垂锚固点或坝踵正下方1倍坝高处)的水平位移指向上游,而参考基点的水平位移随地基截取范围的增大而增大,由于大坝工程上常将倒垂线锚固在岩基深处,并认为该倒垂线测值为绝对位移。

A V-mixer is most used in a premix mill and a pharmaceutical factory,in order to study the effects of different load factors and mixing times on the mixing homogeneity of premixes,to find out the rational load factor and the optimum mixing time of a V-mixer in production of additive premixes.

V型混合机是预混合饲料厂和药厂最常采用的混合机,为了研究不同装载系数和混合时间对预混料混合均匀度的影响,探求V型混合机在添加剂预混料生产中合理的装载系数和最佳的混合时间。

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He is the most remarkable man that I have ever known.

他是我知道的人中最值得注意的人。

Increased appearance of lymphocele was noticed in patients with diabetic nephropathy, congenital malformations of the urinary tract, and inflammatory diseases, including glomerulopathy and extraglomerular ones, after high-voltage radiotherapy and after removal of the renal graft.

经过高压放射疗法和切除移植肾后,在糖尿病肾病患者、泌尿系统先天性畸形患者和炎症患者身上发现淋巴囊肿有所增加,包括肾小球病和球外疾病等。

Pagans and partygoers greeted the summer solstice at the ancient stone circle of Stonehenge.

异教徒和社交聚会常客在史前巨石柱的古老的石圈附近庆祝夏至。