The act of preaching sermons for Puritans was becoming more important, actually, than following the ceremonial rituals of the Church of England.
训诫对于清教徒而言愈发的重要,实际上,甚至比英国教会的宗教仪式更为重要。
And so it’s not quite as useful as Facebook which is great for social reasons.
对于拓展社交圈的话,它不会比Facebook更实用。
The history of mortgages is that they have generally over time gotten more easy on loan-to-value ratio and also on maturity.
从抵押贷款的历史来看,随着时间推移,抵押贷款,对于贷款价值比和期限越来越宽松
So again this is on a viola so it has a deeper, darker timbre than a violin but here's a scale.
对于中提琴来说,它有着比小提琴更为深沉的音色,现在为你们演奏音阶
So in terms of the first step of skeletal structure, this is actually going to be easier because we don't have a central atom, we just have carbon and nitrogen here.
对于第一步画出骨架,其实比刚才更容易,因为我们没有一个中心原子,我们这里只有碳和氮两个原子。
For most--Maybe not all, but for most psychological disorders, there are quicker and more reliable treatments than psychoanalysis.
虽然不能说全部,但是对于大多数的心理障碍来说,也确实存在着比精神分析,更加快捷可靠的治疗方法。
However, for dietary intake, there have been fewer advances like that because it's such a difficult thing to get a hold of.
然而,对于饮食摄入量,和那些比则进步要少,因为这很难把握
For every person who has less than the median amount of life, there's another person who has more than the median amount of life.
对于活得比平均寿命短的人来说,有一个人,活得比平均寿命长。
It is certainly possible, for example, that a quadratic algorithm could run faster than a linear algorithm. It depends on what the input is, it depends on, you know, what the particular cases are. So it is not the case that, on every input, a linear algorithm is always going to be better than a quadratic algorithm.
一个二次平方级复杂度的算法,当然也是可能跑的比线性复杂度算法快的,这取决于,你知道的,输入以及特定的案例,因此并不是对于每个输入,线性复杂度就一定会,比二次平方级复杂度的算法的表现要好,只是通常来说是这样的。
Or, if you take England,for example, people came to care in very major ways what people in Manchester thought because Manchester becomes the capital essentially of the north and the economic center of production.
或者,拿英格兰举例,曼彻斯特人的意志具有很大影响力,因为那里对于北部的重要性堪比首都,并且是工业经济中心
They are engaged in raising livestock, which in Greece is more likely to be sheep and goats than cattle, but also breeding horses, which is very important for the aristocracy for carrying on warfare.
他们擅长豢养牲畜,在当地似乎养绵羊和山羊比牛要来的容易,但是他们同样养马,这对于贵族阶层发动战争很重要
And you should know that a 2 s is larger than that, and a 3 s is even larger, and of course, hopefully as we go to 4 and 5, you would be able to guess that those are going to get even larger.
你们要知道2s比这更大一点,3s就更大,当然对于4和5,你们可以猜到,它们就会更大一些。
You should see that the blue line is better than the pink line because, for any expected return, the blue line is to the left of the pink line, right?
可以看到蓝线比粉线好,原因是对于任意的预期收益率,蓝线都在粉线的左边,对吧?
But we might then wonder, for every person who gets less than the average amount of life-- suppose we take the median, take the amount of life that's exactly, 50 percent of the people get more, 50 percent of the people get less.
但是接着我们可能会想,对于所有活得比平均寿命要短的人-,假设我们取中间数,相对于平均寿命,刚好五成的人活得更长,五成的人活得更短。
Now that seems counterintuitive now because we think that a plant based diet may be more healthy for people than a meat based diet, but remember, that we're fighting off overnutrition and these folks were fighting off undernutrition.
现在看来似乎并非如此,因为我们认为,对于人类来说,植物性饮食比以动物性饮食更为健康,但是请记住,我们正在对抗营养过剩,而这些人们正在和营养不良作斗争
And it turns out that if we have a, for example, for s, a very large z effective or larger z effective than for 2 p, and we plug in a large value here in the numerator, that means we're going to end up with a very large negative number.
结果是如果我们有一个,举例来说对于s一个很大的有效电荷量或者,比2p大的有效电荷量,并且我们将一个较大的值代入计算器,那意味着我们最后会得到,一个非常大的负数。
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