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They go back to this formula. If you sold it after five years, then there are twenty-five years left, so 25 x 12 is the number of months left; they plug that into this formula.
如果五年后卖掉房子,他们又搬出公式,此时剩余期限是20五年,所以剩余月份数是25乘以12,把月份数代入这个公式
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For example, if you started here and you did all this and you came back here, the average velocity would be zero, because you start and end at the same value of x, you get something; 0 divided by time will still be 0.
例如,如果你从这里开始运动,经过这个过程又回到这里,平均速度就是0,因为初态和末态的位移相同,你得到了什么呢,0除以时间还是0
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Right. So X get assigned the value of Y, but then Y gets the value of X; so what have you really done?
对的，X被赋值成Y的值了，然后Y获得了X的值，你到底做了什么呢？
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This point here then is the present value of your income; it's Y today + / .
直线与x轴的交点表示收入的现值,它等于
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These laws of nature, as he describes them, do not issue categorical commands so much as Y sort of hypothetical rules. If you want X, do Y; if you want peace, here are the means to it.
如霍布斯所述，这些自然法，不如假设的规则发布的绝对命令多,如果你想得到X，你就要去做;,如果你想要和平，这就是方法。
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Y He's not returning A or B or temp, and definitely not X or Y; so he just did all of this work and yet that's it.
他不会返回A或B或temp，肯定也不是X或;,所以他刚才做了所有的工作，就是那样。
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You go back to the same x-y plane; here is some vector A.
回到刚才的 x-y 平面上,这是某个矢量 A
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If I draw this down this this point is this year's income down here and this point here is next year's income; I'll use Y for income.
过这点画一条x轴的垂线,表示今年的收入,再画一条y轴的垂线,表示下一年的收入,我用y表示收入
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At every instant, it's got a location given by the vector R; R itself is contained in a pair of numbers, x and y, and they vary with time.
在每一个瞬时,它的位置由位矢 R 给出,R 本身包含了一对坐标值 x 和 y,并且它们都随着时间的变化而变化
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Some of these are still listed on The New York Stock Exchange page; on the day that a stock goes ex-dividend, they'll have a little "x" by its price.
有些还在纽约证交所的网页上,股票除息的那一天,股价前面会有个小小的"x"标记
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And actually, if I don't want to clobber, as we say, overwrite the value of my variable, ; I could declare another one and store the return value in Y; Y so now I have two ints in memory; X and Y, 3 one with two, one with three.
实际上，如果你不想彻底清除，像我们说的，覆盖那个变量的值，我可以申明另一个变量Y，并在Y中保存那个返回值;,现在内存中有两个int数，X和，一个的值为2，一个为。
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int Y Well, I said int X and int Y; so that gave me one square here called X, one square here ; or wherever, called Y, done, one was put in here; two was put in here, and then I called this function swap.
好的，我声明了int，X，和;,然后我这里有个正方形叫做X，一个正方形,叫做Y，完成，1放在这里;,2放在这里，然后我调用这个swap函数。
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Springs have a natural length; x is measured from that length.
弹簧是有原长的,x 就是从这里起算的
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For example, suppose you use vertical motion and you use y instead of x; and a would be g or -g; that's a particle falling down under the affect of gravity.
例如,假设在竖直运动中,你用 y 来代替 x,那么 a 就是 g 或者 -g,这就是一个受重力作用下落的质点
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And when you call a function, one of the things X that happens is whatever your passing in, for instance, X, ; and if this is A, this thing gets copied into A; so at that moment in time of calling increment, I actually have two copies of the same value in memory but they're referred to by different names.
当你调用一个函数，其中发生的一件事情是,不管你输入什么，比如，或者是A，它把这个东西复制到A中;,调用increment的时候，实际上在内存中，有两个同样的值的内存块,但是它们有不同的名字。
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It says, if you pull it to the right, so that x is positive, the spring will exert a force which is in the negative direction; that's why you have a minus sign.
就是说,如果你向右拉,x 取正值,弹簧产生的力方向为负,这就是这里用负号的原因
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We did the comparison with the elephant or something; a is the second derivative of x and for this problem, when F is due to a spring, we know the force is that by studying the spring.
我们也已经把它与大象或其它东西作过比较,a 是 x 的二阶导数,在这个问题中,F 是由弹簧产生的,我们在讨论弹簧问题时已经知道了力的大小
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