笛卡尔

Thus, Descartes developed the Cartesian Theory of Fallacies, which greatly influenced the thinking of the time.

所以，笛卡尔提出笛卡尔谬误理论，极大地影响了那一时代人们的思想。

One must observe equally the relativity of Cartesianism and the absolute character of the Cartesian commitment.

我们必须同样看到笛卡尔哲学的相对性和笛卡尔式承担责任的绝对性。

The method uses Cartesian grid for the majority of flow field with special treatment to cells cut by the solid boundary, thus not only retains the advantage of Cartesian grid's high solving speed, but also ensures the high precision near the boundary, which avoids the distortion coming from scalariform mesh with traditional difference method.

该方法在流场主要区域采用笛卡尔网格，而对与固体边界相交处的单元采用特殊的处理。这样既保留了笛卡尔网格求解速度快的优点，同时在边界处又保证了精度，避免了传统差分法处理该类问题需采用阶梯形网格逼近而导致的失真问题。

Aiming at the dentate boundary problem which is brought by the traditional Cartesian method, Part 4 introduces the diagonal Cartesian method to improve the former 2-D flow mathematic model.

第四部分针对笛卡尔坐标方法处理复杂边界存在的锯齿状问题，引进斜对角笛卡尔方法，对已有的蓄滞洪区二维水流数学模型进行了改进。

In this paper,the diagonal Cartesian method simulating the complex boundary, together with thetreatment to wetting-drying dynamic variation of the boundary, is applied into thetwo-dimensional shallow-water flows and sediment transport mathematical modeling,and their governing equations are discretized and solved in diagonal Cartesiancoordinates.

本论文采用斜对角笛卡尔坐标方法对不规则的复杂边界进行模拟，重点处理好干湿动边界的变化，并在斜对角笛卡尔坐标系中进行二维浅水运动的水流泥沙基本控制方程的离散和数值计算求解。

If so, then is not this a fitting time to renew his radicalness, the radicalness of the beginning philosopher: to subject to a Cartesian overthrow the immense philosophical literature with its medley of great traditions, of comparatively serious new beginnings, of stylish literary activity (which counts on "making an effect" but not on being studied), and to begin with new meditationes de prima philosophial Cannot the disconsolateness of our philosophical position be traced back ultimately to the fact that the driving forces emanating from the Meditations of Descartes have lost their original vitality——lost it because the spirit that characterizes radicalness of philosophical self-responsibility has been lost?

如果是，那么不就是恰当时间来重走他的彻底性吗？——这是起点哲学家的彻底性：对大量的哲学文献——这些文献混杂在'伟大的传统'、'严肃的新开端'、'时髦的文字（这些只算是"起作用『making an effect』"而不算是"做研究"）'中——进行笛卡尔式推倒，开始新的"第一哲学的沉思"。难道我们哲学现状的悲哀不正是最终可追溯到这个事实——来自笛卡尔《沉思》的推动力失去了它们原有的活力，而之所以失去，正是因为标志'哲学之自身负责的彻底性'的那种精神丢失了——吗？

Dissatisfaction with Descartes's efforts to answer this question bred amended versions of the Cartesian framework taken up in Chapter 3: parallelism, occasionalism, epiphenomenalism, idealism.

由于对笛卡尔的解决反感的不满，形成了很多笛卡尔框架下的修正版本，这在第三章：平行论、偶因论、副现象论，观念论。

We determine the bounds on the upperand lower orientable strong radius and strong diameter of graphs satisfyingthe Ore condition. Let G_1, G_2 be any connected graph, we present the exactvalue of srad(G_1×G_2), consider the relationship between sdiam(G_1×G_2) andr(G_1×G_2), d (G_1×G_2). Moreover, we determine the values of the lower orientablestrong diameters of some special graphs. Furthermore, we give the exact value ofSDIAM, a lower bound for SDIAM, an upper and lowerbound for SRAD and SRAD, respectively.

对满足Ore条件的图，给出了最小强半径、最大强半径的上、下界；对笛卡尔乘积图G_1×G_2，确定了G_1×G_2的最小强半径与G_1×G_2的半径以及G_1和G_2的最小强直径之间的关系，并进而确定了一些特殊笛卡尔乘积图的最小强直径的值，确定了SDIAM的值，SDIAM的下界，SRAD和SRAD相应的上、下界。

In chapter three, we study the lower orientable strong radius and strong diameterof the Cartesian product of graphs and prove that: srad(G_1×G_2)= 2r(G_1×G_2),sdiam(G_1×G_2)≤min{sdiam(G_1)+sdiam(G_2), 2(G_1×G_2), 4r(G_1×G_2)}. Furthermore,we establish three sufficient conditions for sdiam(G_1×G_2)= 2d(G_1×G_2)holds and determine the values of the lower orientable strong diameters of somespecial graphs. Moreover, we give the exact value of SDIAM, a lowerbound for SDIAM, an upper and lower bound for SRAD andSRAD, respectively.

在第三章，研究了笛卡尔乘积图G_1×G_2的最小强半径，证明了如下结果：srad(G_1×G_2)=2r(G_1×G_2)，sdiam(G_1×G_2)≤min{sdiam(G_1)+sdiam(G_2)，2d(G_1×G_2)，4r(G_1×G_2)；给出sdiam(G_1×G_2)=2d(G_1×G_2)成立的三个充分条件，并由所给出的充分条件确定了一些特殊笛卡尔乘积图的最小强直径的值；确定了SDIAM的确切值，SDIAM的下界，SRAD和SRAD的上、下界。

His most famous statement is: Cogito ergo sum (French: Je pense, donc je suis; English: I think, therefore I am; OR I am thinking, therefore I exist).

作为笛卡尔坐标系的发明者，笛卡尔创立了对发现微积分与解析都很关键的解析几何—代数与几何的桥梁。他最著名的论断：我思故我在。

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