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And he defined the average in terms of not the sum divided by two, but he chose the geometric mean.
鲍林定义平均并不是,简单相加在除以二，他选择几何平均。
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You've got to juggle the two equations, multiply that by 4, multiply that by 3, add and subtract and so on.
同时处理这两个方程,这个两边乘以4,另一个两边乘以3,将两方程相加或相减求出答案
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Doing that in terms of the contents gives you a subtotal, but that subtotal is no longer the entire story.
把生活内容相加能得到部分之和，但是这个部分之和不再是整体。
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And the problem is, that we want to build this abstract data type, but we'd like to basically know what kind of object is it, and what functions actually belong to it, how do we use them?
然后我对它们运行了这个方法，就是这一小段代码这个方法,这有意义么？,当然没有了，对不对？,因为你知道，当你把两个极坐标，表示的点进行相加运算的时候？
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If we look at our different foods and we look at the calories and the fat and how it all stacks up, here's what you get.
让我们看看刚才提到的食物,看看卡路里和脂肪,数据累积相加,这是得到的结果
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But there is a second aspect to this worry about aggregating values and preferences.
另一方面的担心是,对价值和选择的简单相加。
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If you get a lot of negative products, that makes the covariance negative.
很多个负值的结果相加,就会使协方差是一个负值
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The problem is we can't add these two together.
这个问题是我们不能把他们直接相加。
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w And that has to equal q plus w, summed up for all the steps.
等于q加，对所有过程相加。
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with someone else who's standing next to you, you're going to sum your numbers together and one of you whoever is fastest probably is going to sit down and the other person is going to take on his or her number, the summation of those numbers; and then you're going to repeat and if you follow the logic here in just a few moments, there should be just one of you very awkwardly standing.
你们需要与站在你下面一个的你结成一对,把你们的数字相加,你们中最快的那个可以坐下,其他人将接着他的那个号码继续进行，计算这些数字的和，以此重复,如果你们遵循了这一逻辑，最后将只有一个人呆呆地站着。
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Add up your experiences and your accomplishments and the particular details of your life as what the story is about.
把你生活中的经历和成就,以及特定的细节相加才是关键。
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You can take this vector, multiply it by one number, take that vector, multiply it by another number, add the two of them.
比如将这个矢量,乘上一个数,然后将另一个矢量,乘上另外一个数,把这两个矢量相加
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OK, I can certainly print out strings, but I can actually add strings together, and just as you saw, I can multiply strings, you can kind of guess what this is going to do.
当然我可以显示字符串，但是其实我还可以令字符串相加，如你所见到的，我可以令字符串相乘，你们可以想想答案是什么。
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Otherwise, I'm going to get a new guess by taking g, x over g, adding them, 2 and dividing by two.
或者呢，我会有一个关于g的新猜想,就是X大于g，将二者相加，然后除以。
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You might think, well, that's just a matter of adding up the goodness of life and subtracting the badness of death and summing whatever it comes to.
你可能会想，不就是把生命的好处加起来,再减去死亡的坏处,然后相加得出一个结论么。
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The value of chocolate-covered pizza is not just a matter of summing up the value of the parts taken in isolation.
巧克力比萨饼的价值,不是两者单独的价值,相加的问题。
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You can square this guy and add it to the square of this guy and you will find, using the magic of trigonometry, that this is true.
你可以把这两个式子平方相加,再用一下三角函数的性质,你会发现这是正确的
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It doesn't matter the sequence in which you add the two vectors.
在做两个矢量的加法时无所谓相加的顺序
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I have to be really careful when I said, "Add the lengths."
当我说"模长相加"的时候需要非常小心
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Because sometimes the value of a combination is different then the value you would get by just thinking about each one of the parts in isolation and then adding them up.
因为有时一个组合的价值会不同,那么你得到的价值是只单独考虑每一部分,然后把它们相加所得。
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You can't just add up all the pleasures and subtract the pains, or add up all the accomplishments and subtract the failures, or add up all the knowledge and subtract the ignorance and deception.
你不能只是把快乐加起来然后减去痛苦，或者仅是把成功相加再减去失败，或者把学问相加再减去蒙昧和欺骗。
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So you add the two.
最后将两项相加
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You add the two, you get 10 = 5a and you get a = 2.
把两个方程相加,你就会得到 10 = 5a 算出 a = 2
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So, suppose I tell you to add two vectors, A and B equal to C, and I say, "What's the result of adding A and B?"
假设我告诉你们将两个矢量相加,A + B = C,我问,"A 加 B 结果是什么"
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It is clear that that vector is the sum of that vector and that vector, by the rules of vector addition, because that plus that is equal to the A.
这个矢量是这个两个矢量之和,根据矢量加法的法则,因为这两个矢量相加就等于 A
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We add these numbers and we get 10 = 5a.
我们把方程相加得到 10 = 5a
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If you say, "Add the vectors, " I would just add the x to the x and the y to the y and I'm keeping track of what the sum is.
如果你们说 " 将矢量相加 ",我就把同为 x 轴方向的分量相加,同为 y 轴方向的分量相加,然后就能得出这两个矢量的和是多少了
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If you want to add two vectors, you can add the arrows by the rule I gave you or just add the components of x of the two guys to get the component of the sum and likewise for the y.
如果要把两个矢量相加,你可以用我教给你们的箭头相接的方法,或者就将二者的 x 分量相加,得到和矢量的 x 分量,y 方向也是这样
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