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For the application of Mathematica in the differential geometry,this paper introduces how to processe the curve curvature and the torsion questions,the graphic expression of the curvature and the torsions,and draw curves by the curvature and the torsions. Curvature ; torsion ; solution curve ; osculating plane ; natural parameter ; natural equation

利用Mathematica，只要输入有关系统命令就可以得到期望的结果。1曲率和挠率及其图形意义假设R3上的曲线一般参数表示为r=r它的曲率和挠率计算公式是：κ=‖r′×r&‖‖r′‖3τ=‖r′×r‖我们知道，空间曲线r=r在一点(s=s0)邻近的近似方程为ξ=sη=120κs2ζ=160κ0τs3通过近似方程可以确定曲线在其基本三棱形的三个平面(即密切平面，法平面，从切平面)上的投

Katze felt like s/he was talking to a frog, I don't know how he teleports, he just *does*, alright?

& / Katze 感觉像 s/他正在和一只青蛙说话，&我不知道他如何利用心灵传动，他仅仅*做*，好的？

I have to say a big thank you to everybody that turned up at Macy's - I was amazed how many people came out to see us, especially as it was a horrible day weather-wise.

真是非常非常感谢来到Macy's的每一个人，看到这么多人来参加我们的活动我感到万分惊喜，尤其是在这样一个坏天气里。

How's the relation of the instructor's teaching preparation competence and varied situation in string orchestra teaching scene.

指导者教学准备的能力与弦乐团现实教学多变的情况之间存在如何的关系？

Find out how this top-notch Swiss watch maker pleases its customers with its latest models. Also talk to the brand ambassador Barbie Hsu and discover what she looks for in a timepiece.

著名瑞士品牌名表请来大S徐熙媛当品牌代言人，陈智燊出席这品牌宣传活动时访问了大S，她会畅谈最爱甚麼款式，她认为腕表最重要是实用和时髦，还有一些个人心得。

Find out how this top-notch Swiss watch maker pleases its customers with its latest models. Also talk to the brand ambassador Barbie Hsu and discover what she looks for in a timepiece.

著名瑞士品牌名表请来大S徐熙媛当品牌代言人，Jason陈智燊出席这品牌宣传活动时访问了大S，她会畅谈最爱甚麼款式，并认为腕表最重要是实用和时髦，还有选择腕表的个人心得。

To get a better understanding of the how's and why's of breakups, the Yahoo!

为了能更加了解分手的那些&如何&，&为什么&问题， Yahoo！

To get a better understanding of the how's and why's of breakups, the Yahoo!

为了进一步了解分手的种种缘由和方式 Yahoo！

There was a brief side jaunt as he related what he'd learned about his own origins and how they related to Katse's; Sosai X had made seven mutants of twins, not one, and three had been hermaphrodites.

当他相关了他有学习关於他自己的起源事时候，有一个简短的旁远足和如何他们讲到 Katse's； Sosai X 已经做双胞胎的七个突变异种而不是一，和三已经是具有两性者。

The purpose of the tests were to ascertain how well soldiers could perform their tasks on the battlefield while under the influence of L.S.D.

实验的目的是探知在L.S.D的影响下，士兵怎样才能在战场上更好的执行他们的任务。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新