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笛卡儿     
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  rene descartes
     A Study of Rene Descartes'Methodology of "Scepticism "
     笛卡儿“怀疑”的方法论研究
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     Rene Descartes,a brilliant French philosopher,regarded rationality as a guide,adopted the method of sublation,and took a sceptical attitude towards everything with courage so as to seek the priciples of methodology for new knowledge.
     笛卡儿以理性为指导,以扬弃的方法和敢于怀疑一切的勇气寻求新知识的方法论原则,这种从“怀疑”开始的思维开辟了创新思维的先河,提出了研究事物的方法的重要性。
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  descartes
     FROM R. DESCARTES, R. HOOKE AND PARDIES TO C. HUYGENS: DEVELOPMENT OF HUYGENS UNDULATORY THEORY
     从R.笛卡儿、R.胡克和帕蒂到C.惠更斯:惠更斯波动理论的发展
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     The Descartes Multiplication of Banach Space
     Banach空间的笛卡儿
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     Descartes' Legacy and the Metaphysical Basis of Life Science
     笛卡儿的遗产与生命科学的形而上学基础
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     Descartes' thought is the starting point of the life science afterworld.
     笛卡儿的思想是其后世生命科学发展的出发点。
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     Cogito ,as the first principle of Descartes’metaphysical system, opens modern philosophy ofconsciousness and becomes modern and contemporary western philosophical discourse’s sources and objectof discussion.
     笛卡儿以“我思”作为形而上学体系的第一原则,开创了近代意识哲学,成为近现代西方哲学话语的源头和讨论对象。
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  cartesian
     (5) The category FS-CDOM of consistent FS-domains and Scott continuous functions is Cartesian closed and has the category FS-DOM of FS-domains and Scott continuous functions as a full reflective subcategory.
     (5)证明了以Scott连续映射为态射,FS-相容Domain为对象的范畴FS-CDOM是笛卡儿闭范畴并以FS-Domain范畴FS-DOM作为满的反射子范畴。
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     In this paper, we study the crossing numbers of the cartesian products of paths with some 6-vertex graphs, and if the Zarankiewicz's conjecture is hold, we get the crossing numbers of the complete tripartite graph K_(1,10,n), and obtain the crossing number of K_(1,m,n) when m, n are both even integers.
     本文研究路与某些6-阶图的笛卡儿积交叉数,及在假定ZaranKiewicz猜想成立的基础上研究完全3部图K_(1,10,n)及完全3部图K_(1,m,n)当m,n均为偶数时的交叉数。
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     The detailed structure of Cartesian Coordinate RAMS Master Manipulator is stated and the concise structure of PHANToM Desktop is introduced.
     对笛卡儿坐标式RAMS主操作手的具体结构进行了详细的阐述,并对关节式RAMS主操作手PHANToM进行了简单的结构介绍。
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     A Method for Trajectory Planning of Robot in Cartesian Space
     笛卡儿空间机器人轨迹规划方法
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     Two Important Properties of Cartesian Closed Domain Categories
     笛卡儿闭Domain范畴的两个重要性质
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  “笛卡儿”译为未确定词的双语例句
     Compared with common boundary points Fourier descriptor algorithm(CBPFD),the identification rate of MSRA gets higher 29% than that of CBPFD in the natural image collections and the identification rate of MRASB is almost 2.5 times of that of CBPFD in the artificial image collections.
     通过对自然类图像库和人工类图像库200幅图像的检索,表明该算法的性能高于常用的图像检索算法,与笛卡儿坐标下普通边缘点傅里叶搜索算法(CBPFD)相比,MSRA的搜索识别率在自然类图像库中高于CBPFD的29%,而在人工类图像库中几乎是CBPFD的2.5倍.
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     In this paper, we extend the L(2,1)-labeling to the L(4,3,2,1)-labeling and derive the upper bounds of λ4(G) of product graphs.
     图G的L(2,1)-标号数A(G)是使得G有max{f(v):v∈V(G)}=k的L(2,1)-标号中的最小数k。 本文将L(2,1)-标号问题推广到更一般的情形即L(4,3,2,1)标号问题,并得出了笛卡儿乘积图的λ4(G)的上界。
     we also got the conclusion that bounded complete domain is a FS-domain and that the category of BP-domain is a full reflective subcategory of the category of FS-domain.
     同时指出它是一个FS Domain,而FS Domain及其之间的ScottDS连续映射构成的范畴是笛卡儿闭的,从而有界完全Domain范畴BC Domain是FS Domain范畴的笛卡儿闭的满子范畴.
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     From the Collapse of Descartes-Hilbert Creed to the Appearance of NP Complete theory ——the affirmative effect of nonholonomic algorithm and benchmark
     从笛卡儿-希尔伯特纲领的崩溃到NP完全理论的出现——论非完整算法与算法试金石(Benchmark)的积极作用
     Application of Non-Cartesion Tensor Analysis for Numerical Electromagnetics
     非笛卡儿张量分析在计算电磁学中的应用
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  rene descartes
"Define the meaning of words, and you will rid the world of half of its confusion." Rene Descartes
      
Rene Descartes found a method to calculate the equations of tangents to curves.
      
Universal Relativity Principle agrees with Rene Descartes' paradigm, who asserted that any motion in nature is a rotation.
      
  descartes
"Define the meaning of words, and you will rid the world of half of its confusion." Rene Descartes
      
This was because philosophers such as Descartes, Kant and Fichte thought it served as the highest principle from which we can 'deduce' all propositions that rightly claimed validity.
      
Metaphysics and the Origins of Modern Science: Descartes and the Importance of Laws of Nature
      
The second part of the paper argues that the modern concept of laws of nature originates in René Descartes's work.
      
It is argued that this is why, at an early stage of his philosophical development, Descartes had to turn to metaphysics.
      
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  cartesian
Two new constructions of Cartesian authentication codes from symplectic geometry
      
In this paper, two new constructions of Cartesian authentication codes from symplectic geometry are presented and their size parameters are computed.
      
In addition, some known results about the Cartesian products of two directed cycles are also deduced.
      
In 1965,Vizing conjectured that if GXH is the Cartesian product of G and H, then .
      
Connectivity of cartesian product digraphs and fault-tolerant routings of generalized hypercube
      
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  其他


In this paper, the conjecture of V. G. Kane, S. P. Mohanty and R. S. HaleS in 1981 [1] as stated below is proved. Let Cm and Cn be the two circuits with order m(≥3) and n (≥3) respecti- vely. If mn is odd. then the binding number of the Cartesian product of Cm and Cn is bind (Cm ×Cn) = Moreover, the supposition condition in this conjecture can be further weake- ned, and a stronger result is obtained. If one of the m and n is odd at least, then bind(Cm×Cn ) =

本文证明了V.G.Kane,S.P.Mohanty和R.S.Hales提出的如下猜想[2]: 设 Cm和Cn分别是阶数为m和n的两条回路。若mn为奇数,则 Cm与Cn的笛卡儿乘积图的联结数为 bind(Cm×Cn)=不仅如此,本文还进一步减弱了猜想中的假设条件,从而获得了更强的结果:若m和n至少有一个是奇数,则 bind(Cm × Cn)= —一””-”Ihh一4”

In this paper a generalized matrix method based on non-Cartesian ten- sor analysis is used to calculate the mean curvature of the arbitrary sur- vase, as proposed by one of the co-authors in a previous paper. The result turns out in satisfactory agreement with Ref. (1). This numerical method can also find its application in the calculation of Cartesian curvature and principal curvature.

本文根据作者之一提出的、建立在非笛卡儿张量分析基础上的广义矩阵法,来计算任意曲面的平均曲率,所得结果与文献[1]是完全吻合的。这一方法还可推广到计算曲面的高斯曲率和主曲率。

This paper treats the axisymmetric field distribution in a SELFOC fiber,and discusses the errors in Ref.[1].We point out that the axi- symmetric transverse components E of an axisymmetric mode can not be Cartesian components Ex or Ey,and can only be Cylindrical comp- onents Er or E_0.Hence,the governing equation of E shouldbe 1/r d/(dr)(r(dE)/(dr))+[ω~2*/c~2K-1/r~2-β~2]E=0 where term -E/r~2 can not be discarded for the beam launched centrally along the axis.The solution to the zeroth-order is found and expressed...

This paper treats the axisymmetric field distribution in a SELFOC fiber,and discusses the errors in Ref.[1].We point out that the axi- symmetric transverse components E of an axisymmetric mode can not be Cartesian components Ex or Ey,and can only be Cylindrical comp- onents Er or E_0.Hence,the governing equation of E shouldbe 1/r d/(dr)(r(dE)/(dr))+[ω~2*/c~2K-1/r~2-β~2]E=0 where term -E/r~2 can not be discarded for the beam launched centrally along the axis.The solution to the zeroth-order is found and expressed by generalized Laguerre polynomials.The solution to the first-order approximation is found by the perturbation method.

本文研究了自聚焦光纤中的轴对称场分布问题,讨论了 Gambling 和 Ma-tsumura 文章中的错误。我们指出,轴对称电场横向分量 E 不可能是笛卡儿坐标分量 E_x 或 E_y,E 只可能是柱坐标分量 E_r 或 E_(?)。因此,E 的方程应该是1/r d/(dr)(r (dE)/(dr))+[w~2/c~2K-1/r~2)-β~2]E=0对于沿轴线中心射入的光束,上式中的-E/r~2项不应略去。本文求出了方程的零级解,它用广义拉盖尔多项式表示。本文并采用微扰法求出了方程的一级近似解。

 
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