这是一个很简单的问题，通过观察重量是多少以及它下降了多远，来确定桨轮做了多少功。
It's a trivial matter, by looking at what is the weight and how far does it drop, to say OK, how much work is done by the paddlewheel.
为了帮你起步，我们请了5位成功作家来揭示一些诀窍。
To get you started, we have asked five successful writers to reveal some of the tricks of the trade.
凯瑟琳的父亲曾是一位成功的投资银行家。
Katharine's father used to be a successful investment banker.
他们必须在产业链中赢得一席之地，而那一成功将受到业内其他企业的密切关注。
They have to earn their slot in the chain, and that success will be closely watched by the rest of the industry.
旧金山一位成功的应用软件开发者李梦说：“我以前工作非常努力。我喜欢创造东西，让它们成长并解决问题。“
"I used to work very hard. I love to create things, grow them and solve problems," said Meng Li, a successful app developer in San Francisco.
那些演讲进一步激发了这位年轻化学家的热情，他后来继续进入了皇家化学学院，于1853年成功入学，当时他15岁。
Those speeches fired the young chemist's enthusiasm further, and he later went on to attend the Royal College of Chemistry, which he succeeded in entering in 1853, at the age of 15.
丘吉尔成为了一位成功的政治家和作家。
有一次，一位成功的商人应邀接受电视采访。
Once a successful businessman was invited to a TV interview.
许多年后，丘吉尔已经是一位成功的政治家兼作家。
Many years later, Churchill was already a successful politician and writer.
除了诗歌方面的成就，余还是一位成功的翻译家、散文作家和评论家。
Besides his achievements in poems, Yu was also a successful translator, essay writer and critic.
这一成功也使嫦娥五号成为自1976年俄罗斯飞船将170.1克样本带回地球以来，第一个从月球带回样本的航天器。
The success has also made Chang'e-5 the first spacecraft to bring back samples from the moon since 1976 when a Russian spaceship brought back 170.1 grams of samples to the earth.
我们知道，这样的话得到的功会变少。
Now we know we're going to get less work out of it in that case.
做任何事情都要从基本功开始。
但这并不是轻视了仪式功修的重要性。
But this is not to belittle the importance of ritualistic worship.
这些管理学教育界的巨头们实在是徒劳微功。
The giants of management education have laboured mightily to bring forth a molehill.
如果把它举在手中，当我做正功时，重力就做负功。
If I hold it in my hand, when I'm doing positive work, gravity is doing negative work.
那么从点a到点B之间，重力所做的功，很明显是负值。
So I can write down that the work that gravity is doing in going from a to B, that work is clearly negative.
如果阶段0成功，协调器将开始两阶段提交循环。
If phase zero succeeds, the coordinator starts the 2-phase-commit cycle.
功的定义是力和力的着力点沿力的方向移动的距离的乘积。
Work is defined as the product of a force and the distance through which its point of application moves in the direction of the force.
通常棒子会变热，你做的功，变成热能，导致棒子的变形。
And in general the rod gets hot, and the work that you have done goes into heat and goes into the deformation of the rod.
根据功的原理，阻力与距离的乘积等于作用力与距离的乘积。
From the principle of work, the product of the resistance times its distance equals the product of the effort times its distance.
对我喜欢的曲线，计算其上的线积分，在这条线上所做的功。
And let's take my favorite curve and compute the line integral of that field, you know, the work done along the curve.
看到这一成功以后，ICU的人开始了自管理的过程。
张力做了功吗，在环形轨道的例子里，也许法向力做了功？
Is the tension doing any work and in the case of my circular track is, perhaps, the normal force doing any work?
我们换一个话题,开始今天的内容，线积分和3维空间中的“功”
Let me just switch gears completely and switch to today's topic, which is line integrals and work in 3D.
就像一场足球赛，赢得队伍往往是基本功最扎实的那一队。
Just like a football game, the teams that does the basics perfectly is ususally the team that eventually wins.
得到和以前，完全相同的答案，换句话说做的功，就是动能的差值。
And you get exactly the same result that you had before, namely that the work done is the difference in kinetic energy.
你我一天所做的功，少得令人尴尬，就机械功来说，你可以完全忽略。
The kind of work that you and I do in one day is so embarrassingly little in terms of mechanical work that you can completely neglect it.
你我一天所做的功，少得令人尴尬，就机械功来说，你可以完全忽略。
The kind of work that you and I do in one day is so embarrassingly little in terms of mechanical work that you can completely neglect it.
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