数学归纳法是数学中常常用到的一种证明方法，最常见而最为人们所熟知的归纳途径是简单的有向路。
The mathematical induction is a method of proof often applied in mathematics. The most common and the most famous inductive way is the simple directed path.
我从没想过自己有一天也会在车道上向远方挥手，感受着自己的心沿着那路驶远。
I never knew then that I would one day be the one waving from the driveway and feeling my heart drive off down the road.
对于竞赛图中必有有向哈密顿路这一命题，在分析已有证明的基础上，给出了一种新的证明。
On the basis of analysing existed proofs, provides a new proof about the proposition that every tournament has a directed Hamilton path.
皮埃尔站起来，离开新的同伴，穿过一堆堆火堆向路的另一边走去，他听说，那儿有被俘虏的士兵。
Pierre left his new companions and walked between the camp-fires to the other side of the road, where he had been told that the common prisoners were camping.
也许你有百分之九十的把握，你应该直接坐22路车，但…为何不把几率变成百分百，向与你一同坐在长凳上的那个有趣的陌生人求助。
Maybe you are 90% sure that you should jump on bus #22 but… why not make 100% sure with the help of the interesting looking stranger sharing your bench.
我有很漫长的一段路要走，但我已经向正确的方向迈出了第一步。
I have a long way to go. But I've taken my first steps in the right direction.
到1715年路易十四去世时，芭蕾已经有了它的技巧基础和术语（跳跃交叉舞姿、向对舞者施礼、分腿跳跃然后两脚很快并拢、快滑步这些步伐就是那时编制的）。
By the time of Louis XIV's death in 1715, ballet had al ready got the basis of its technique and its terminology (entrechat, coupe, cabriole, chasse were steps codified by then).
到1715年路易十四去世时，芭蕾已经有了它的技巧基础和术语（跳跃交叉舞姿、向对舞者施礼、分腿跳跃然后两脚很快并拢、快滑步这些步伐就是那时编制的）。
By the time of Louis XIV's death in 1715, ballet had al ready got the basis of its technique and its terminology (entrechat, coupe, cabriole , chasse were steps codified by then).
在当今社会，如果你不结婚，人们就会认为你有问题。但这些男人并没有向社会压力妥协，他们选择了一条不寻常的路。
People assume there is something wrong if you don't marry but these are men who have made a different choice and not given in to social pressures.
在当今社会，如果你不结婚，人们就会认为你有问题。但这些男人并没有向社会压力妥协，他们选择了一条不寻常的路。
People assume there is something wrong if you don't marry but these are men who have made a different choice and not given in to social pressures.
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