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This method is based on the Snell law of acoustic propagation in water. Different velocity gradients among linear layers in water are utilized to draw the sound ray chart, and a mathematical model of the geometric operational range is built. Furthermore, the geometric homing range is predicted with sound ray density, a prediction system of geometric operational range for acoustic homing torpedo is designed and the function of the system is realized through a system software. The sea trial demonstrates the prediction validity of the system.

该方法基于声波在水中传播的Snell定律，利用水中各线性分层间不同的声速梯度，绘制声线图，建立了几何自导作用距离的数学模型，并通过声线密度对几何作用距离进行预报，设计了声自导鱼雷几何作用距离预报系统，并通过系统软件实现了其功能，经测试，该系统在海上试验中取得了良好效果。

The mathematical models, which are automatic program identification of the calibration results of data acquisition and lattice value calculation, are put forth.

6建立了数采标定结果的程序自动识别和格值计算的数学模型。

After a detailed analysis of the forces in subway train's running, the dynamics mathematical model of subway train is constructed; the eventbased control technology is adopted to solve the controlling of subway, the velocity and acceleration function with respect to the distance are deduced by introducing the action reference variable in the control problem which the object is to minimize the running time. The running scheme can be programmed in realtime, the delay caused by uncertain events is avoided. So it offers a new way for the metro research.

分析了地铁列车运行过程中的受力情况，建立了地铁列车的力学模型；将基于事件的控制技术应用到地铁列车的控制中，通过引入运动参考变量，求出在以站间最小运行时间为最终目标的列车控制中，列车速度、加速度等关于列车运行距离的函数表达式，从而可以根据列车走行距离来实时调整和规划地铁的运行规律，避免人为因素或不确定性因素导致的列车运行晚点，为研究地铁列车的规划提供了一种新的方法。

In this paper the author presents a new method to define the critical path of the network chart by the upper limit of interval estimation of mathematical statistics. Thus, a new model which is based on the multiple objective decision making, is established. Such an approach tallies with the actu...

本文提出运用数理统计的区间估计的上限来确定网络图关键路线的方法，并利用多目标决策方法建立一个模型，更切合实际地确定了网络中的关键路线

The principle of the actuator was analyzed and the mathematical model was set up.

在对驱动器结构进行分析的基础上，建立了工作台的数学模型。

The mathematical model is set up by analyzing the principle of the actuator.

在分析微位移机构工作原理的基础上，建立了工作台的数学模型。

In addition,two recurrent formulas are derived which pronide a mathematical approach to the calculations of the elements of the transformation matrices.

本文还讨论了B样条基转换矩阵在CAGD中的应用，特别讨论了B样条曲线的节点插入、升阶和分解问题。

If a mapping between two address spaces is tabular, there is no mathematical formula that will convert addresses in one space to addresses in the other.

如果两个地址空间之间是通过表来映射的，那么将这两个空间之一的地址映射到另一个空间上就不需要进行数学计算。

Based on the theoretical analysis for adjudication of classified targets and judgement of principal target, mathematical model has been established.

进行了多目标分类判别以及主要目标识别的理论分析，并建立了相应的数学模型。

Complete Lattice ; Adjunction ; Conjunction ; Implication ; Mathematical Morphology ; Fuzzy Morphological Operation

完备格；伴随；合取；蕴涵；数学形态学；模糊形态学运算

I can still vividly recall the impressive scenes you gave. You were among my friends and relatives who accompanied me from my house to the seaport and when the porters were slow to show up, you obligingly carried my suitcase for me.

你对我的种种感人情意，使我记忆犹新，那天你随着我的亲友从家里送我上轮船，搬运工迟迟不来，你毅然替我提着皮箱上船。

St. Nicholas became the patron saint of Russia, where he was famous for his red cape, flowing white beard, and bishop's mitre.

圣尼古拉成了俄罗斯人的守护神，在那里，他以身披红斗篷，留着飘逸的白胡须，戴着主教法冠而闻名。