本文针对机器人最小时间轨迹规划问题提出了一种二次规划的优化方法。
This paper presents a twice planning approach to solving minimum-time trajectory planning problem for robotic manipulators. Pre-planning is performed on the specified path.
虽然我们并没有下意识地去做，记录时间轨迹却是大脑不可或缺的功能，当我们回想过去时，回忆中感觉和行为也是以时间顺序呈现。
Though we do it without thinking, keeping track of time is integral to the brain's function, keeping our senses and our actions ordered in a chronology that we then recall in the form of memory.
当这种分离持续一段时间后，这两个种群能够沿着不同的轨迹进化。
When that separation lasts for a period of time, the two populations are able to evolve along different trajectories.
爱因斯坦在他的广义相对论中认识到，可以以改变光轨迹的方式对时间和空间进行拉伸和弯曲。
In his theory of general relativity, Einstein realized that space and time can stretch and warp in ways that change the trajectory of light.
然而现在科学家称大灭绝的周期性实际上证明涅墨西斯星球理论是错误的，因为随着时间的推移，在和其他星球的相互作用下，星球的运行轨迹会发生改变。
But now scientists claim that the regularity of the mass extinctions actually disproves the Nemesis theory because its orbit would have changed over time as it interacted with other stars.
本文的思路比较微妙，如果您首先观察一位知识渊博的人用图形表示他在物理空间和时间内移动的轨迹，通常会更容易理解本文内容。
The idea of this article is subtler, and usually easier to grasp if you first watch a knowledgeable presenter illustrate points as he moves in physical space and time.
我们不妨这么说，人生就是轨迹线，密度由时间构成。
最糟糕的情况也就是20小时，即无线电信号越过最远的冥王星的轨迹的时间。
At the worst, these will amount to twenty hours-the time it takes a radio signal to span the orbit of Pluto, the outer-most planet.
回到出发点的轨迹-，如果我们把这个称之为出发点，出发的高度-，整个过程将会耗费，2倍的这个时间。
Back to this starting point — if we call this sort of a starting point, - starting altitude — this whole trip will take twice the amount of time.
这条直线可以看做是点随时间运动的轨迹。
位置细胞是如此的逼近实际的轨迹，以至于研究者可以通过监视在特定时间上哪些位置细胞被激活，就能获知老鼠沿着轨迹跑动的进度。
Place cells correspond so closely to exact physical locations that the researchers could monitor the rats’ progress around the track simply by watching which place cells were firing at any given time.
它自带时间模式，这能帮助你追踪头脑风暴的的轨迹。
It comes with timer mode, which will help you to keep track of your brainstorming mind.
线虫没有按照它们原有的生命轨迹衰老，存活了更长的时间——这是因为它们衰老的速度变慢了。
And the worms didn’t get old at their usual pace and then hang on longer—they actually aged more slowly.
当然用装在三角架上的照相机固定摄影，长时间曝光能拍到星星因地球自转而形成的同心圆轨迹。
Of course, with the camera fixed to a tripod, the stars themselves produce concentric trails in long exposures, a reflection of the Earth's rotation around its axis.
绝大多数的数码相机都能曝光30秒而不会产生过多的噪点，这是一个很好的起点，这个曝光时间也可以避免拍下星星因地球自转产生的轨迹。
Most digital cameras can easily a handle a 30-second exposure before noise starts getting out of hand. That's a great place to start.
摆荡在时间的轨迹，个人者发现自己何其渺小。
Oscillating along the track of time, we sea our insignificant.
摆荡在时间的轨迹，个人都发现自己何自渺小。
Oscillating along the track of time, we see our insignificance.
针对自由曲面走刀方向数控加工的研究，建立了简化的刀具轨迹时间模型，并对路径规划的系统进行了讨论。
To aim at the research on cutting direction in NC machining of free-form surfaces, a simplified time model for tool trace is established, and the system of tool path programming is discussed.
这幅照片采用了1.5小时长时间曝光技术展示了南部夜空上面群星炫耀旋转的轨迹和在水里以万亿计的夜光虫的灿烂光辉的景象。
This particular shot was captured via an hour-and-a-half exposure that reveals the rotation of the stars in the southern sky and the trillions of Noctiluca scintillans glowing in the water.
它在不断改变的祈祷时间里作为催化剂，使人们关注于太阳的运动轨迹，这种不断的运动成为一种日常循环的视觉反射。
It serves to call attention to the movement of the sun as a catalyst in the changing prayer times, the constant motion becoming a visual reflection of their daily cycle.
在我们的生活轨迹中，在不同的情况下，如：工作，玩耍，家庭，个人时间和活动种，我们每个人都在不同的环境中操作。
We each have multiple environments in which we operate throughout the phases of our lives and under different circumstances, such as work, play, home, personal time and activities, etc.
如果想让自己的人生轨迹达到新的高度，你就需要扫清障碍，减少浪费的时间，加重责任以及学习那些能够给你添砖加瓦的本领。
If you want your life story to soar to new heights, you've got to clear a path, reduce the time-sinks and burdens weighing you down, and pick up the things that give you wings.
然后，应用最优控制理论得出慢时间尺度上的解，并将其作为降维后的最优参考轨迹；
Then, through solving the slow time-scale problem by optimal control theory, the optimal reduced-order reference trajectory is obtained.
这一糟糕的经济周期运行轨迹，部分来说与时间很巧合。
The miserable economic track record is, in part, a quirk of timing.
这一糟糕的经济周期运行轨迹，部分来说与时间很巧合。
The miserable economic track record is, in part, a quirk of timing.
应用推荐