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On the basis of the probe and research into space analytic geometry and seeing from the students ' thinking characteristics , this paper has got a proof about three vector double vector product theorem .

本文通过对空间解析几何的研究和探讨，从学生的思维特点出发，给出一个有利于学生认知结构形成的三矢量的双重矢性积定理的证明

Advanced mathematics is one of the most important foundation lessons in each univercity, its content of course includes the calculus,the space analytic geometry and the vector algebra step,etc..

摘 要：高等数学是各大高校最重要的基础课之一，其教学内容包含微积分、空间解析几何与向量代数初步、场论初步等等。

Golden Section in mathematics is relative to many architectures, solid geometry acknowledgements are often used in architectural design and construction, and the calculations in space analytic geometry are often used irregular construction.

无可厚非的数学在这片领域上占有密不可分的关系。数学中的黄金分割与许多建筑有关，建筑设计与施工中常用到的立体几何的知识，不规则形状的施工建筑中，还常常需要空间解析几何的计算。

The construction of the models has been based on such theories as Theoretical Mechanics, Advanced Mathematics, Space Analytic Geometry, the Theory of Ship and Sea-keeping Theory.

并讨论了该模型在滚装船车辆绑扎系固绑索校核中的应用，以及文中所建立的模型的应用和对现实生产的指导意义。

In recent years, evolution analysis method is in academia of western economic geography, especially Europe is taken seriously increasingly, the dimensional difference that this may be the occurrence that is concentration of analytic industry space because of evolution thought and economy offerred good model and explanation.

近年来，演化分析方法在西方经济地理学界，尤其是欧洲日益受到重视，这可能是因为演化思想为分析产业空间集中的出现和经济的空间差异提供了有益的模型和解释。

In order to replace the conventional method of vagina palpation which has been widely used in obstetrics, a new method for detecting fetal head position and cervical dilation automatically is proposed based on the analytic geometry of space and ultrasonic triangulation.

基于空间几何原理和超声多普勒三角测量法，提出了一种胎头位置、宫颈扩张的自动测量方法，以替代产科临床使用的传统手工触诊法。

On this basis,the PDC bit's fivepoint survey theory is developed,and a series of formulas are derived,applying PDC bits' geometry and analytic space geometry.

在此基础上，运用PDC钻头几何学和空间解析几何学中的四点共面、行列式、坐标变换的知识，提出并推导出了PDC钻头的五点测绘理论及系列公式。

The construction of the models is based on such theories as Theoretical Mechanic,Advanced Mathematics,Space Analytic Geometry,the Theory of Ship and Sea-keeping Theory.

在比较、分析国内外有关船舶波浪稳性的研究成果的基础上，运用理论力学、流体力学、高等数学、空间解析几何的基本原理和船舶原理、船舶耐波性、船舶抗沉性、势流理论的专业理论知识，提出了计算船舶波浪稳性的数学模型，并针对客滚船在波浪中的稳性变化进行了定量的计算和分析。

For the single way filament winding of a cone structure , the corresponding mathematics model and winding pattern for four axes winding machine were derived by using space analytic geometry.

本文对锥体结构的单向纤维缠绕，应用空间解析几何的知识建立了相应的数学模型，并建立了在相应于四轴缠绕机上的缠绕线型，同时利用VB6。

And then the sliding mode motion characteristic was analyzed by using (nth- dimension space) analytic geometry and variable structure control theories.

即使某些变结构控制系统理论上可以求得解析解，实际求解过程也相当烦琐和困难。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。