I actually do get worked up over these things because it drives me nuts because these are not hard problems to solve and yet consistently throughout society and your own laptops there are dozens of examples I'm sure of poorly designed software.
我确实对这些东西很生气,因为它令我发狂,因为这不是很难解决的难题,然而贯穿整个社会,在你自己的笔记本上,我确信有很多这样,设计地很挫的软件的例子。
And if you hit it really hard and a long way, it goes over the boundary.
还有就是,如果你真的击得很重,打得很远,过界了。
There's been a lot of work done on these over the years, but in fact, it's pretty hard to invent a good hash function. So my advice to you is, if you want to use something was a hash, go to a library. Look up a good hash function.
已经做过了很多的尝试和努力,但是事实是,很难发明出一个好的哈希函数,所以我给你们的建议是,如果你们想使用哈希功能,到函数库中查找一个好的哈希函数。
One of these passes is a hard pass. It goes over the Alps.
一条路崎岖,需要翻越阿尔卑斯山
The barriers to unity presented by European geography and very limited technology made it hard for a would-be conqueror to create a vast empire, eliminating competitors and imposing his will over vast areas.
由于欧洲独特的地理条件,和当时有限的科技水平,使未来的征伐者很难建立一个广袤的帝国,清除异己和使他的意志,传播到广袤领地的每一个角落
If the invader chooses the hard pass he will lose one battalion of his army simply in getting over the mountains, simply in going through the hard pass.
如果侵略者选择崎岖的路,仅在穿越阿尔卑斯山的途中,他就要损失一个营的兵力,这就是选崎岖之路的代价
So just to give an example, if he goes through the hard pass and you defend the hard pass, he loses one of those battalions going over the mountains and the other one because he meets you.
举个例子吧,如果入侵者与你在崎岖之途上狭路相逢,他在翻越山岭时损失一营,与你交战再损失一营
Problem is here, that Player II has a continuum of strategies and trying to draw all possible probabilities over an infinite number of objects on the board is more than my drawing can do. Too hard.
现在问题是,参与人II的策略是连续的,想要把无限可能性的概率,做成图都画在黑板上,是不可能的了
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