笛卡尔

The problem of strong-distinguishable fullcoloring at the adjacent vertex of Cartesian product Pn×Pm of the path was discussed.

讨论路的笛卡尔积的邻点可区别的全染色问题，给出路的笛卡尔积Pn×Pm的邻点强可区别的全色数为χast=5 n=2，m≥2或m=n=36 min{n，m}≥3且m+n

It is shown that in Jameson's algorithm is not an orthogonal stream-lines coordinate system, but a local stream-lines coordinate system instead. Nevetheless, because of the finite-difference discretization in Jameson's scheme is not carried out along the direction of s and n, but along the Cartesian coordinates, the analysis on all terms of the full potential equation in Cartesian coordinates reveals that his scheme does take a back-ward difference along the streamwise exactly at all points in the supersonic flow region.

表明其所采用的坐标系不是真正的正交流线坐标系，而是局部流线坐标系；同时由于Jameson方法并不对s，n进行差分离散，而是在原笛卡尔坐标系下作差分离散，对笛卡尔坐标系下的全位势方程中的各项的分析表明，Jameson方法恰好能做到在超音速点沿真正的流线方向作后差分。

In chapter two ,we determine the crossing number of the cartesian product of five graphs on 6-vertex with path.

第二章：我们确定了6个7阶图与路的笛卡尔积图的交叉数；第三章：我们证明了4个五阶图与星图的笛卡尔积交叉数；第四章：我们求出了完全三部图K_(1，m，n)的交叉数。

Through the analysis of the second power Cartesian product of natural number set N——N×N and the thirdpower Cartesian product of natural number set N——N×N×N,obtains the conclusion that they all have the bijective relation to natural number set N,it means that the set N×N and the set N×N×N are all countably infinite.

通过对自然数集合N的二次笛卡尔积运算———N×N和三次笛卡尔积运算———N×N×N的详细分析，得出了它们与自然数集合N之间都存在双射关系结论，即集合N×N和集合N×N×N都是可数无穷的。

So we can only plan trajectory in Cartesian, but planning trajectory in Cartesian space is more complex than in joint space. Third, a new method of analyzing kinematics of space robot was described.

因此我们只能用笛卡尔空间轨迹规划方法对其进行规划，而传统的笛卡尔空间轨迹规划方法相对于关节空间轨迹规划方法要复杂的得多。

Second, based on the screw theory, the'virtual joint'concept was proposed. By means of this concept, the conventional trajectory planning in Cartesian space was converted in the 'virtual joint'space, that is, the complex trajectory planning in Cartesian space was simplified by utilizing the trajectory planning in the'virtual joint'space.

第二、基于旋量理论提出了"虚拟关节"的概念，利用这一概念可以将传统的笛卡尔空间的轨迹规划转化成"虚拟关节"空间的轨迹规划，也就是说，利用简单的关节空间的轨迹规划方法实现了复杂的笛卡尔空间的轨迹规划。

Different from the conventional Cartesian impedance control schemes which are mostly based on the robot end force/torque information, five joint torque-based schemes in Cartesian/joint space and the stiffness control.

与传统的基于机器人末端力／力矩信息的笛卡尔阻抗控制方案不同，考虑了5种基于关节力矩的笛卡尔阻抗控制方案，包括笛卡尔空间／关节空间基于力的、笛卡尔空间／关节空间基于位置的方案和刚度控制。

It can be concluded that there are two defects of subjectivistic philosophy.

在海德格尔看来，尽管胡塞尔现象学特别是它的三个重要发现在挑战笛卡尔式的心物二元论、突破传统的真理和存在概念等方面具有重要的意义，但无论是从其理论内容本身来看，还是从胡塞尔对他本人的哲学与笛卡尔、康德等人的哲学的关系的自我陈述来看，胡塞尔现象学都可以说是未脱近代主体性哲学之窠臼。

As held by Heidegger, although Husserl's phenomenology had challenged dualism of Descartes' type as well as had surmounted the traditional views about the implication of such concept as "being" and "truth", on the foundation it can still be looked upon as a type of subjectivistic philosophy.

在海德格尔看来，尽管胡塞尔现象学特别是它的三个重要发现在挑战笛卡尔式的心物二元论、突破传统的真理和存在概念等方面具有重要的意义，但无论是从其理论内容本身来看，还是从胡塞尔对他本人的哲学与笛卡尔、康德等人的哲学的关系的自我陈述来看，胡塞尔现象学都可以说是未脱近代主体性哲学之窠臼。

In the essence of modern science , the process of objectifying that derives from the projection of the mathematical for the nature may certainly show itself.

数学因素的支配性地位的取得是笛卡尔对人的形而上学规定的必然结果。另一方面，数学因素也构成了笛卡尔形而上学的基础所在，决定了笛卡尔的哲学态度。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失