| 确定二次有心曲面主轴的极值方法 |
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| 引用本文： | 陈光寅.确定二次有心曲面主轴的极值方法[J].西安科技大学学报,1989(2). |
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| 作者姓名： | 陈光寅 |
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| 作者单位： | 西安矿业学院基础部 |
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| 摘 要： | 本文在n维欧氏空间定义了J函数,列举出了在力学中的应用;从几何角度论证了J函数在欧氏空间的极值性质;并将确定二次有心曲面的主轴问题,归结为求J函数的逗留点问题。从J函数的无条件极值和条件极值两个方面,综述了二次函数的极值理论,以及确定二次有心曲面主轴的线性方程组。对用条件极值求主轴问题作出了几何解释。
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| 关 键 词： | 二次有心曲面主轴 极值 J函数 欧氏空间 |
THE METHOD FOR DETERMINING EXTREME VALUE OF PRINCIPAL AXIS OF QUADRATIC SURFACE |
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| Chen Guangyin.THE METHOD FOR DETERMINING EXTREME VALUE OF PRINCIPAL AXIS OF QUADRATIC SURFACE[J].JOurnal of XI’an University of Science and Technology,1989(2). |
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| Authors: | Chen Guangyin |
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| Institution: | Chen Guangyin |
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| Abstract: | This paper defines a J-function in the n-dimensional Euclidean space, enumerates its use in mechanics and geometrically discusses the nature of extreme value of J-function in Euclidean space. The problem to determine the principal axis of quadratic surface is summed up to be that of finding the stop point of J-function.The theory of extreme value of quadratic function is summarized from both conditional and unconditional extreme values and the linear equations set of the principal axis of quadratic surface is determined. A geometrical explanation is given to the determination of principal axis by using conditional extreme value. |
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| Keywords: | principal axis of quadratic surface extremevalue J-function Euclidean Space |
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