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So, it's Newtonian mechanics, and the reason for this is because Newtonian mechanics does not work on this very, very small size scale.
牛顿力学，因为牛顿力学,在这种很小的尺度下不适用,我们说过，牛顿力学。
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And this is just a Newtonian expression of momentum, the product of the mass of the electron times its instant velocity.
这只是牛顿学上关于动量的表达，用电子质量,乘以瞬时速度。
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Successive approximation, Newton-Raphson was one nice example, but there's a whole class of things that get closer and closer, reducing your errors as you go along.
逐渐逼近,牛顿迭代是一个很好的例子,随着你不断的时行下去,你会不断的离结果越来越近，逐渐地减少误差。
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It's really amazing that what Newton did in the case of gravity was to find the expression for this.
这一点非常神奇,牛顿在引力方面的研究,只是为了找出这个的表达式
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We use the adjective "Newtonian" but we don't speak of certain writers who are still interested in quantum mechanics as "Newtonian writers."
虽然我们用牛顿主义者这个词“,但是我们不会把那些,对量子力学有兴趣的人称作牛顿主义作家“
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Much more than biological instincts, much more than neurosis, much more than the person who exists in a Newtonian reality like a billiard ball.
不仅仅是生理本能，不仅仅是神经症，不仅仅是牛顿学说世界里的台球。
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And they had this feeling because there had just been this huge boon of discovery, of scientific advances that included Newtonian mechanics, it included Dalton's atomic theory of matter, also thermodynamics and classical electromagnetism.
他们会有这样的感觉,是因为他们刚，经历科学上的,大繁荣期，包括牛顿力学,道尔顿物质原子理论，热力学和电磁学,都取得了巨大进展。
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In fact, until we do electricity and magnetism the next semester, everything's going to be based on just the laws of Newton.
其实,在下学期学习电磁学之前,所有的内容都是基于牛顿定律的
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Suppose Newton comes to you and says, "I have this great law, but I don't want to publish it under my name.
假如牛顿对你说,"我发现了这个伟大的定律,但我不想以我的名义发表
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And so, you know from your Newtonian mechanics, as you were learning in 8.01, the dynamic force here mv^2/r is mv squared over r.
在8。01节对牛顿动力学系统的学习中，我们可以知道这里的运动受力,就是。
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So, Newton did not ever tell you what the expression for force is in a given context.
牛顿从来也没有告诉过你,在这种情况下力的表达式
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In fact, my program crashes because I end up trying to divide by zero, a really bad thing. Hint: if you implement Newton's method, do not make your first guess zero.
我下一步都没法开始,实际上，我的程序会崩溃，因为我试着去除0了，真糟糕,提示你：如果你想用牛顿的方法，第一个猜想数别设为0。
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You have to be careful that this first law of Newton is not valid for everybody.
大家需要注意的是,牛顿第一定律并非所有情况都适用
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Except for electromagnetism, the basics of mechanics, which is the motion of Billiard balls and trucks and marbles and whatnot, was set up by Newton.
除电磁学外,力学的基础,也就是台球,卡车,弹球以及其它小玩意儿的运动原理,都是由牛顿建立起来的
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It is a Newtonian system from the mechanical standpoint.
这就好比是谈,牛顿的力学系统。
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The point of Newton is, two things in the Law of Inertia, which one may think is trivial.
牛顿的观点是,惯性定律分两部分,可能有人觉得这种分法无关紧要
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The great discovery that Galileo and Newton made is that you don't need a force for a body to move at constant velocity.
伽利略和牛顿的伟大发现就是,物体不需要力来维持匀速运动
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But Newton's law is-- You see, you've got to go back and wipe out everything you know.
但牛顿定律是,如你所知的,你必须回到过去,忘掉你所知道的一切
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We'll come back to that, but you have to understand the structure of Newtonian mechanics.
我们等下回头再讲,不过你们要理解牛顿力学的体系框架
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Your reaction may be that you've seen Newton's laws, you applied them in school.
你们的反应可能是,我已经见过牛顿定律了,以前在学校就学过
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So we are going to be studying in the beginning what's called Newtonian mechanics.
我们首先学习的是,牛顿力学
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Out of postulate three it says Newtonian mechanics applicable.
从假设3我们可以知道,牛顿力学在这儿是适用的。
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So the product of Newtonian mechanics of predicting the future given the present, has got two parts, and one is called kinematics and the other is called dynamics.
所以牛顿力学,基于现状对未来的预测,包含两个部分,一部分被称为运动学,而另一部分被称为动力学
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So, that was Newtonian mechanics at work, because what did I do?
这就是牛顿力学的运用,我刚刚做了什么呢
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Newton finds out there's a force of gravity acting on everything.
牛顿发现所有的物体都受到引力作用
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Take yourself back to 1600-whatever, whenever Newton was inventing these laws.
我们回到十七世纪,回到牛顿发现这些定律的时代
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You want to test if what Newton told you is right.
你想要检验牛顿的理论是否正确
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Here's a simple example of a complete Newtonian problem.
这里是一个牛顿力学问题的简单例子
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That's not going to be given by Newton.
这不是牛顿发现的
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So, let's think qualitatively for a second about what that means or what the real meaning of that is. What that is telling us is that according to Newtonian mechanics and Coulomb's force law, is that the electron should actually plummet into the nucleus in 0.1 nanoseconds.
让我们定性的想想,这意味着什么,这告诉我们,根据牛顿力学,和库仑定律，电子,在0。1纳秒内,就会掉到原子核里面。
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