Linear algorithms tend to be things where, at one pass-through, you reduce the problem by a constant amount by one. If you reduce it by two, 1 it's going to be the same thing.
有问题么?,线性复杂度的算法,当进行了一个,常量级步数的操作的时候,将问题的规模缩小了一个。
You reduce a lot of the health risks, if you exercise often.
如果你经常运动的话,它会帮你降低许多健康问题的风险。
You reduce it in third. All right?
比如缩小到一半或者三分之一,对不对?
If you stop and be aware of your breath, it would reduce the likelihood of going to have the spiral feeling like that. -Thank you.
如果停下来,留意呼吸,就能避免有不断恶化,感觉的可能性,谢谢你。
So, if you could make automobiles with a high magnesium content, you would reduce the mass, reduce the energy required, and thereby reduce the environmental impact.
所以,如果你能用含镁量,很高的材料来制造手机,你就能减轻手机的质量,减少制造所需能量,因此减轻了对环境的破坏。
That's a very specific health claim that that company is making, that eating Honey Nut Cheerios will allow you to reduce your cholesterol.
这是一个很特别的健康宣示,那家公司所生产的,吃坚果甜麦片 会让你降低胆固醇
For any given level of return, you can reduce the risk; for any given level of risk, you can increase the return; sounds pretty good.
给定回报率,可以降低风险,给定风险水平,可以提高回报率,听上去不错
You can either think of it as an arrow and imagine the arrow, or you can reduce it to a pair of numbers, x and y.
你既可以用有向线段来表示,也可以用一组数字来表示,x 和 y
OK. And then the exponentials, as you saw is when typically I reduce the problem of one size into two or more sub-problems of a smaller size.
好,然后说到指数级,正如你所见,典型的例子是,我讲一个问题分解成为,两个更小规模的子问题。
.. If you can find assets that all have-- that are all independent of each other, you can reduce the variance of the portfolio very far.
如果你能找到这样的一些资产-,一些相互独立的资产,就能很大程度上缩小这个投资组合的方差。
There's a very important principle that finally comes out here, it is that you always want to reduce the variance of your portfolio as much as you can.
现在这里有一个非常重要的原则,即你总是想要降低你投资组合的方差,降得越低越好。
Those same estimates say that if you could turn that around, that if the world could eat the recommended level of fruits and vegetables, that you'd reduce the prevalence of heart disease by 31%.
反过来说就是,如果大家都能食用适量的水果和蔬菜,那心脏病的普遍性将降低31%
So, the optimal thing to do if you live in a world like this n is to get n as large possible and you can reduce the standard deviation of the portfolio very much and there's no cost in terms of expected return.
如果现实中也这样简单的话,那么你就尽量增大,这样就能让投资组合的标准差,就会大大降低,从预期收益率的角度来看,这样做的成本是零。
You reduce it in half.
以除以某个数的速度缩小。
Any time you can reduce something to a previously solved problem, that's good.
这是件好事,这个是我们要学习的,重要内容,人们往往不会首先。
You can photo-reduce.
你也能照相缩小。
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