弗格森爵士说“我接受”关于曼联的批评，但积分榜首的位置还是不错的。
Sir Alex also said "I'll take that" to the fair criticism that United are all but top of the league without playing particularly well.
也不是太大的麻烦，也不是一个非常复杂的积分，但估计可能变得更加困难。
Not a very big one, not a very complicated integral, but imagine it could get potentially much harder.
但还是可以建立这个积分，然后转换到极坐标系下去求结果。
But still we could set this up and then switch to polar coordinates to evaluate this integral.
《完美世界》是免费游戏，但王民每个月花44美元用来购买网络附加设备、积分和新器材，还有给他的“替身”的全套装备。
"Perfect World" is free to play, but Wang spends about $44 every month on virtual extras such as additional points, new equipment and even outfits for his avatars.
要计算三个线积分，而不是两个，但概念上是一样的。
You have three line integrals to compute instead of two, but conceptually it remains exactly the same idea.
去年皇马积分超过第三名7分之多，但还是不够好。巴塞罗那超了皇马9分。
Madrid finished seven points clear of third last year and they weren't even very good; Barcelona finished nine points ahead of them.
但如果，密度可能是变化的，因为它是许多金属的混合物，或者厚度在变化等等，但你仍然可以通过对密度积分得到质量。
But if, actually, it has varying density maybe because it is some metallic thing with various metals or with varying thickness or something then you can still get the mass by integrating the density.
不要求掌握分部积分公式，但还是希望，有些人能在单变量积分中记住它。
Well, I don't expect that you would need integration by parts, although I still hope that some of you remember it from single variable calculus.
但若是积分域形状比较古怪的话，某一积分次序可能比另一种更简便些。
Sometimes it will be that because the region has a strange shape, you can actually set it up more easily one way or the other.
但在这里，顺序并不重要，但通常都要谨慎地考虑积分次序。
Here, it doesn't matter, but in general we have to be very careful about in which order we will do things.
但如果切面取在最前方附近，实际上，积分域。
But, if I take a slice that, say, near the very front, then in fact, only a very small segment of it will be in my region.
可能是积分边界容易确定，但函数可能就比较困难，因为它含有这些sin,cos在里面。
Maybe it will be easier to set up bounds but maybe the function will become harder because it will have all these sines and cosines in it.
但这一偏微分方程不能直接积分，所以通常用纳维法、瑞利-里兹法、有限差分方法等方法求解。
But this partial differential equation can not be directly integral, so usually use Navier method, Rayleigh Ritz method and finite difference method and other methods.
但之后我们会用很酷的方法解决它，以及多元微积分，但目前，我们只需要写到这就行了，我们还不懂如何计算它。
However, we'll see one later using a cool trick, and multi-variable calculus. So, for now, we'll just leave the formula like that, and we don't know how long it is.
积分颜色有时被用在人造石头，但承包商更多地运用酸渍或丙烯酸涂料。
Integral colors are sometimes used in faux stone, but contractors more often use acid stains or acrylic paints.
但这招经常很有用，这个公式有时候反过来也可以用，比如你有一个面积分，但是你想，把它变成线积分的时候也可以用的。 。
Butt sometimes it is useful. Sometimes it is also useful backwardS because , actually, you have asurface integral that you would like to turn into a line integral.
她解释，虽然一般情况下在你打算用积分兑换实物产品时，其实最好还是用现金购买而不是用积分兑换，但利用某些卡片付款确实有好处。
While she explains that, generally if you're redeeming for material goods, you're better off buying in cash than redeeming points, spending money on certain cards can indeed pay off.
你不需要知道微积分或高等代数，但你必须熟悉基本的算术——加、减、乘、除。
You do not need calculus or algebra, but you must be on easy terms with basic math - adding, subtracting, multiplying, and dividing.
多点地震动输入下反应谱组合系数可以采用数值积分计算，但效率低下。
One can calculate response spectrum combination coefficient under multipoint earthquake motion input by numerical integration, but it has a low efficiency.
但几种特殊类型的定积分的计算却是难点。
However, some kinds of special type of definite integrals are difficult to calculate.
我有一张会员卡已积分1000分，但后又在其他门店申请了一张会员卡，请问可否将前者的积分加到后张卡上？
I have already 1000 reward points in a membership card, I applied for another membership card at another hotel, could I add up my reward points in two different membership CARDS?
边界元方法求解位势问题有效而简单，但通常需要数值计算奇异积分甚至超强奇异积分。
Boundary element method (BEM) is a simple and effective numerical method to solve potential problems, but usually requires calculation of singular integral, even hyper-singular integrals.
这两种高斯数值积分建立的数学模型，虽已完整和系统，但需要在实际应用前现场测试修正加权系数。
The two mathematical models built by Gauss numerical integration are integral and systemic, but the modified weighting coefficient needs to be tested at the spot before the practical application.
整个边界层的积分值的变化幅度会小一点，但一晚上达到一个量级应不少见。
The variation range of the integrated in the boundary layer is rather small, however it can nab one older Of magnitude at all night.
结果表明，随着生物柴油体积分数的增加，滞燃期呈现先减小后增大的趋势，但所有混合燃料的滞燃期都低于普通柴油。
The results show that with the increase of the biodiesel concentration, ignition delays of blend fuels decrease at first and then increase, but all the delays are shorter than that of diesel.
典型信号的拉普拉斯变换对有表可查，有些信号的拉普拉斯积分式也有积分表可查，但实际上还有一些信号是查不到的。
Laplace transform pairs of typical signals can be looked up in the table of Laplace transforms. Laplace integral forms of some signals can be calculated with the table of integrals.
这次是用移动99积分换的三明治，不知道是不是没选好口味，并不是很喜欢，但看在积分增送的份上，总的还是给4星。
This is to use mobile 99 points in a sandwich, don't know whether I didn't choose good taste, is not love, but in the integral gain send's sake, the total to 4 stars.
这次是用移动99积分换的三明治，不知道是不是没选好口味，并不是很喜欢，但看在积分增送的份上，总的还是给4星。
This is to use mobile 99 points in a sandwich, don't know whether I didn't choose good taste, is not love, but in the integral gain send's sake, the total to 4 stars.
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