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The main contents include the ray phenomenon and its generation conditions; the deduction and physical illumination of wave action conservation equation and wave number conservation equation; ray theory for sinusoidal waves; Fermat's principle; the variation of amplitude in the case of straight and parallel depth contours and circular depth contours; the amplitude near the caustics; wave trapping; deduction of mild-slope equation and the relevant numerical solution methods.

讲授折射现象及其发生的条件;波作用守恒方程和波数守恒方程的推导及物理解释;稳恒正弦波的控制方程及射线方程;费马原理;利用射线方程研究等深线是平行直线和圆周线时波振幅的变化,特别是焦散线附近波高的变化以及由此而产生的波的俘获;缓坡方程的推导及有关的数值求解方法。

In this paper, the linear indefinite equation , quadratic indefinite equation and the several special solution of indefinite equation are studied.

本文主要研究了一次不定方程、二次不定方程和不定方程的几种特殊解法。

When the geometric similitude ratio of the model to the prototype was determined and the loading similitude condition was satisfied by using similitude theory in structure modeling and experimental techniques, the prototype soil parameters were derived according to the model test result. The vibrating wheel compelled by harmonic exciting force was treated as a lumped mass vibrating system by equation equity method. By using this mechanical model in vibrating compaction, soil parameters were identified according to the equivalence of vibrating differential equation. The curve fitting method of amplitude versus frequency response was used for dynamic simulation based on the systematic dynamic equation of vibrating roller-soil system.

用相似理论与模型试验法在确定了模型与原型之间的几何相似比并满足载荷相似条件后,根据模型试验结果推导出了原型土体参数;用方程对等法把受简谐激振力作用的振动轮等效为集中质量振动系统,以此作为振动压实过程的力学模型,根据振动微分方程的等效条件进行识别;用幅频特性曲线拟合法以振动压路机-土壤系统动力学方程为基础,用计算机进行动态仿真。

Through analyses, we can make the conclusion that, the relation of seed fresh weight dry weight and days after pollination, fat percent content, protein nut content, starch nut content can be expressed with Logistic equation; the change of kernel volume, moisture content of kernel and days after pollination accorded with three ascend curve equation. Kernel protein content, starch content and the changes of days after pollination tallied with reciprocal equation and they had high relation.

经过统计与分析,可以看出籽粒鲜重积累量与授粉后时间、籽粒干重与授粉后的时间、脂肪净含量、脂肪百分含量、蛋白质净含量、淀粉净含量与授粉后的时间均可以用Logistic方程描述,籽粒体积变化与授粉后的时间关系表现为三次上升型曲线方程;籽粒的水分含量与授粉后的时间关系表现为三次下降型曲线方程;籽粒中蛋白质百分含量与授粉后时间的动态变化规律、籽粒中淀粉百分含量与授粉后时间的动态变化规律符合倒数方程,均具有较高的拟合度。

The problem is reduced to a single unknown equation after algebraic elimination. The input-output equation, which is proved to be a 42th degree polynomial equation, is obtained.

首先根据不同的环路列出矢量方程,然后将方程转化成复数形式,经过代数消元后得到了输入输出方程。

After that, the important equation for calculating reverberation time is given based on the definition of reverberation time and least squares method. Finally, we use our new method to calculate reverberation time in a rectangular enclosure; we also compare our results with those given by experiment and Sabine's equation. The comparison shows that the new method is more effective and accurate than Sabine's equation in calculating reverberation time of small enclosures.

给出了描述小尺度封闭空间内声场的有限元模型;在该模型的基础上推导了计算小尺度封闭空间内混响时间的方法,并编制了相应的计算机程式;在算例部分,计算了一矩形封闭空间内的混响时间,通过与实验结果进行比较,验证了这一方法的正确性。

Based on the given results of second order boundary value problem, the existence of solutions of nonlinear differential-difference equation and unique of solutions of Hammerstein type integro-differential-difference linear equation were established because Hammerstein linear equation featured only one solution.

以二阶边值问题的已知结果为基础,建立了微分差分非线性方程解的存在性,以及Hammerstein型线性方程解的唯一性。

By utilizing the expansion expression of equilibrium point of the system, the homogeneous equation s solution was obtained, and then the nonlinear differential equation was equivalent to its nonlinear Volterra's integral equation of the second kind by the constant variation method.

首先将系统在平衡点附近进行展开,求得其齐次方程的解,然后利用常数变易法将非线性微分方程变为等价的第二类非线性Volterra积分方程。

The dispersion secular equation and displacement equation of Stoneley waves in infinite-solid media are obtained in this paper. The characteristics of Stoneley waves are discussed in this paper by using the secular equation.

推导了流体—固体无限介质斯通利波的特征方程及位移计算公式,并利用这一特征方程分析研究了流体—固体介质中斯通利波特性。

Neutral equation; stochastic functional differential equation; stochastic differential equation with delay; infinite delay; asymptotic propertie; semimartingale convergence theorem; Markovian switching; moment stability; moment boundedness

基础科学,数学,概率论、数理统计中立型方程;随机泛函微分方程;随机延迟微分方程;无限时滞;渐近性质;半鞅收敛定理; Markov调制;矩稳定性;矩有界性

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Putt your way through 36 fun-filled holes of minigolf on 3D designed courses with elevated greens, bunkers, bridges and water hazards, among other crazy obstacles.

您的推杆方式,通过36个有趣的填孔迷你的三维设计的课程,以提升绿党,掩体,桥梁和水的危害,除其他疯狂的障碍。

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有些分词既可当定语用,也可当表语用。

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随着时间的推移,颚式破碎机得到很大的改进,已经是一种高效,节能的常用破碎设备。