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In this paper a simplified mathematic model is represented for soluting the problem of laying precious stone s separately into the earth with direct-product cyclic group, with ansuwers to a concrete problem according to it.

提出用直积循环群作为宝石分埋问题的一个简化数学模型，并对一个具体问题作出了解答。

The limit point is analysed by establishing the mathematic model of cyclinder and taper orthoyonal.

通过建立圆柱与圆锥正交时的数学模式，对极限点进行几何分析，用微积分的方法求出极限点的坐标及变化规

Therefore, DAE is a common mathematic tool to describe the structure-preserving power system models.

因此，微分代数系统是描述电力系统结构保留模型的一般数学工具。

In order to analyze the influence of filled metal particles on impact force for hydraulic pile hammer, analytical solution of mathematic model for pile hammer filled with metal particles considering effects of metal particles was presented. In the solution, lumped mass were used as metal particles, a spring was used as contact stiffness between metal particles and hammer body, different variable lumped masses were used as pile hammer, the ram and anvil, a spring and a dashpot were used as the anvil cushion and pile respectively.

为分析填充金属颗粒对打桩锤锤击力的影响，考虑填充金属颗粒的作用，用集中质量块表示填充的金属颗粒，用弹簧模拟金属颗粒与锤体相碰处的接触刚度，用不同的集中质量块表示桩锤、砧座和桩帽，用并联的弹簧、阻尼器表示锤垫，用弹簧表示桩垫，用阻尼器表示桩，建立了平衡方程。

The dissertation firstly studies the deoxidizing mechanism of the deaerator and sets up a mathematic model based on conservation of mass and conservation of energy.

为改善除氧系统所存在的鲁棒性差等缺点，提高系统的稳定性，本文对智能控制技术及其在除氧系统中的应用及相关技术进行了研究。

The traditional GIS system can only use mathematic method to describe and explain the confirmed programs but the power of making space decision and solving the uncertain programs are very weakly.

但是，传统的地理信息系统解决问题的方法和模式基本上都是以数学方法为基础建立的，所能解决的有关地理问题也主要是那些能够用数学方法描述和解释的具有确定性解的问题，在解决空间规划决策中有很大的不足。

So we say that we can absolutely avoid unnecessary and bothering process in mathematic deducibility if making full use of the method of Pseudo-spectral in more complex viscoelastic media, we can get wave equation when directly replacing with two kinds of relaxation modules.

由此可以说，如果采用伪谱法模拟其它更复杂的粘弹介质模型时，完全可以避免不必要的而且烦杂的数学推导过程；直接将体积松弛模量和剪切松弛模量代入即可得其波动方程。

Mathematic and logic depend extensively on the deductive method of reasoning .

数学和逻辑学广泛地依靠推理的演绎方法。

Matapopulation is an important frontier in the recent research of mathematic biology, theoretical ecology and conservation biology. The research provides new theoretic bases for the investigation of populations and species which are in severe danger, and makes forecasts and measurement for the populations\' damage due to global habitat destruction and environment deteriorism.

集合种群是当今国际数学生态学、理论生态学和保护生物学的一个主要研究前沿，其研究为濒危物种及种群的研究提供了新颖的理论依据，也为全球范围内的环境恶化和生境破坏对物种造成的伤害做出预测和度量。

Aiming at the dentate boundary problem which is brought by the traditional Cartesian method, Part 4 introduces the diagonal Cartesian method to improve the former 2-D flow mathematic model.

第四部分针对笛卡尔坐标方法处理复杂边界存在的锯齿状问题，引进斜对角笛卡尔方法，对已有的蓄滞洪区二维水流数学模型进行了改进。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。