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theorem    
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  定理
    The Analysis of the Function and the place of Pascal Theorem in projective Geometry
    浅析Pascal定理在射影几何中的地位和作用——兼谈对编写射影几何教材的一点建议
短句来源
    The Expression of Angular Monentum Theorem for the Reference Point Moved
    参考点运动的角动量定理表达式
短句来源
    The Decision Theorem About the Tangent of Paracurve and its Application
    抛物线切线的判定定理及其应用
短句来源
    Some examples of using Desargue theorem
    代沙格定理应用之例
短句来源
    Strengthening the Theorem Teaching, Perfecting the Cognitive Structure
    加强定理教学 完善认知结构
短句来源
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  定理的
    The Application of the Circle-power Theorem
    圆幂定理的应用
短句来源
    Researched Proposition on Pythagorean Theorem and Projection Theorem
    有关勾股定理、射影定理的研究性论题
短句来源
    Teaching of Mathematical Formula and Theorem and Cognitive Construction
    数学公式、定理的教学与认知建构
短句来源
    Some Generalizations of a Theorem and Its Applications
    一个定理的推广及应用
短句来源
    PASCAL THEOREM AND BRIANCHON THEOREM'S EXTENDING AND APPLICATION
    Pascal定理及Brianchon定理的应用推广
短句来源
  原理
    The third part states all math concept, principle, theorem and math thinking method is mathematical model. Mathematical modeling is a core pattern of math application.
    第三部分,一切的数学概念、原理、定理,数学思想方法等都是数学模型,把现实对象数学模型化即是建立了数学模型,数学建模是数学应用的一个关键环节,数学应用是数学建模的深层表现。
短句来源
    Decomposition theorem is one of the three basic theorems(decomposition theorem,representation theorem,extension principle)of the fuzzy sets in fuzzy mathematics,and it is also a difficult point in the teaching of fuzzy mathematics.
    分解定理是模糊数学中模糊集三大基本定理(分解定理、表现定理和扩展原理)之一,也是模糊数学教学的一个难点.
短句来源
    Definit contraction mapping on interval I ,practice Contraction Mapping Principle(Banach Fixed Point Theorem) on interval I ,and we can seek for the limit of the sequence { } x n definited from recurrence formula ( x n + 1 =f(xn),n=1,2L). Then basing on this ,we can resolve two questions.
    在区间I上定义压缩映射,把压缩映象原理(Banach不动点定理)应用到区间I上,给出由递推公式:x_(n+1)=f(x_n),n=1,2…确定的数列{x_n}的极限的一种求法,然后用此方法解决两个问题。
短句来源
  定理
    The Analysis of the Function and the place of Pascal Theorem in projective Geometry
    浅析Pascal定理在射影几何中的地位和作用——兼谈对编写射影几何教材的一点建议
短句来源
    The Expression of Angular Monentum Theorem for the Reference Point Moved
    参考点运动的角动量定理表达式
短句来源
    The Decision Theorem About the Tangent of Paracurve and its Application
    抛物线切线的判定定理及其应用
短句来源
    Some examples of using Desargue theorem
    代沙格定理应用之例
短句来源
    Strengthening the Theorem Teaching, Perfecting the Cognitive Structure
    加强定理教学 完善认知结构
短句来源
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  theorem
In the case of 3-dimensional commutative algebras a new proof of a recent theorem of Katsylo and Mikhailov about the 28 bitangents to the associated plane quartic is given.
      
If the additive group of complex numbers acts algebraically on a normal affine variety, then the associated ring of invariants need not be finitely generated, but is an ideal transform of some normal affine algebra (Theorem 1).
      
If the variety is a complex affine space and the ring of invariants is isomorphic to a polynomial ring, then the action is conjugate to a translation (Theorem 3).
      
On the other hand, there is a locally trivialGa-action on a normal affine variety with nonfinitely generated ring of invariants (Theorem 2).
      
As an application of the results we prove a generalization of Chevalley's restriction theorem for the classical Lie algebras.
      
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It is known that Sunzi theorem and Qiuyi method by Qin Jiushao are two important achievements in history of mathematics of China. In this paper the author considered that it was Huang Zongxian, a mathematician in the late Qing Dynasty, who first gave the proofs of the above-mentioned theorems. An introduction to the processes of their proof and necessary explanation to the theorems are also made.

孙子定理和秦九韶所创的求一术,是中国数学史上颇具影响的两项成就。然而,后世算学者应用是因为默认了它们的正确性,而从未细究其成立的道理。本文认为,首先给出上述二定理的证明者是清末数学家黄宗宪,并对其证明过程作了介绍和必要的解释。

In this Paper we generalize Delaunay's conclosion by proving the following theorem.THEOREM, Let be an arbitrary conic section (an eJlipse, or a parabola, or a branch, of a hyperbola), be the path traced out by the focus of the conic section which rolls without slipping along a fixed strainght line L in its plane. define as surface of revolution obtained by revolving about L Then this snrface 2 must have constant mean curvature. Moreover, the surface of this kind is the only surface of revolution...

In this Paper we generalize Delaunay's conclosion by proving the following theorem.THEOREM, Let be an arbitrary conic section (an eJlipse, or a parabola, or a branch, of a hyperbola), be the path traced out by the focus of the conic section which rolls without slipping along a fixed strainght line L in its plane. define as surface of revolution obtained by revolving about L Then this snrface 2 must have constant mean curvature. Moreover, the surface of this kind is the only surface of revolution with constant mean curvature.

于本文我们推广[2]中Delaunay的结论,证明如下定理。 定理 设Г是任一锥线(椭圆,抛物线或一支双曲线),沿着它所在平面上一条定直L·作无滑动的滚动,Г·为其焦点的轨迹;规定∑·作为Г·绕L·旋转所得的曲面。那末这一曲面∑·必有常平均曲率。并且,这种曲而是唯一的常平均曲率旋转面。

This paper shows the Pythagorean theorem in E3 and Ea by means of Analytic geometry.

本文利用解析几何的方法证明了在E~3和E~n(n>3)中的勾股定理

 
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