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1)  infinitesimal method
无穷小法
2)  infinitesimal number method
无穷小数法
1.
By using infinitesimal number method and increment limit method,we redefine the osculating place,the osculating circle, tangent,normal,binormal,curvature,the curvature radius,the curvature centre,the curvature radius vector and the natural coordinates of the spacial smooth curve at a certain point.
用无穷小数法和增量极限法重新定义了空间光滑曲线在某点处的密切面、密切圆、切线、法线、副法线、曲率、曲率半径、曲率中心、曲率半径矢量以及自然坐标系 。
3)  classical infinitesimal Lie method
古典无穷小算法
1.
Symmetry group classifications of variable coefficient mKdV equation is performed by using the classical infinitesimal Lie method,the technique of equivalence transformations and the theory of classification of abstract low-dimensional Lie algebras.
利用古典无穷小算法,等价性变换技巧和有限维抽象李代数的分类理论给出了变系数mKdV方程的对称群分类。
2.
Group classification of quasi-linear third order evolution equations is performed by using the classical infinitesimal Lie method,the technique of equivalence transformations and the theory of classification of abstract low-dimensional Lie algebras.
利用古典无穷小算法、等价性变换技巧和有限维抽象李代数的分类理论,给出了一般拟线性三阶演化方程在半单和一维至四维可解李代数下不变的群分类。
4)  infinitesimal [英][,ɪnfɪnɪ'tesɪml]  [美]['ɪnfɪnə'tɛsəmḷ]
无穷小
1.
A Note on The Theorem of Equivalent infinitesimal Replacement;
等价无穷小替换定理的一点注记
2.
On the product of infinite infinitesimals;
关于无穷多个无穷小之积
3.
On equivalent transformations of infinitesimals and their popularization;
关于无穷小的等价替换及其推广
5)  infinitely small quantity
无穷小量
1.
Theorem 1 and 2 about ratio of two infinitely small quantity function monotonous are obtained.
对文献[1]给出的一个函数单调性的判别命题进行推广,得出两个无穷小量之比的单调性的判别命题1,2。
2.
In this paper,we disscus the poerations of infinitely small quantity and get some result.
讨论了无穷个无穷小量作和、积运算后是否仍为无穷小量,得到的结论论是:无限个无穷小量的和、积未必收敛,即使收敛,也未必是无穷小量。
3.
In this note, we construct some examples to show that the infinitely product of the infinitely small quantity may be not infinitely small quantity.
本文由有限个无穷小量的乘积仍是无穷小量的证明入手 ,给出无穷多个无穷小量的乘积不一定是无穷小量的例子 ,并根据这种方法得到无穷多个无穷大量的和也不一定是无穷大量的结
6)  infinitesimal [英][,ɪnfɪnɪ'tesɪml]  [美]['ɪnfɪnə'tɛsəmḷ]
无穷小量
1.
The Extension and Application of the Equivalent Infinitesimal Replacement;
等价无穷小量代换的推广和应用
2.
An infinitesimal equivalence theorem is established in this paper.
建立了一个无穷小量等价的定理,文献1中的结果可作为本文定理的一个简单应用。
3.
This paper takes the infinitesimal as an entrance to derivative and shows the essential of derivative concept step by step and therefore enhances the students to comprehend this concept.
导数是高等数学中的一个重要概念,讨论了一种不同于目前多数教材中介绍导数概念的方法,以无穷小量为切入点,一步步过渡到导数的概念等,揭示了导数概念的本质,强化了学生对这一概念的理解。
补充资料:法性属法为法性土
【法性属法为法性土】
  谓真如法性之理,譬如虚空,遍一切处,乃是法身所证之体,即为所依之土,故名法性属法,为法性土。
说明:补充资料仅用于学习参考,请勿用于其它任何用途。
参考词条