Numeric calculation results show that the accuracy of the derived upper bound formula is obviously higher than current upper bound formula.

数值计算结果证明，推导出的整体截断误差上限公式的准确度明显高于现用整体截断误差上限公式的准确度。

youdao

So, current upper bound formula can be perfectly replaced by derived upper bound formula.

因此，应该用推导出的公式代替现用公式。

youdao

Oh, I could cheat and make, OK the upper bound a half, but that wouldn't be very honest.

噢，我可以像作弊一样,把上界扩大两倍，但这看起来没什么用。

麻省理工公开课 - 计算机科学及编程导论课程节选

So the basic idea was fine, but I failed to satisfy the initial condition that the answer had to be between the lower bound and the upper bound. Right?

因此基础的思想是对的，但是程序没能满足,正确答案在给定的区间内这个条件,对不对？

麻省理工公开课 - 计算机科学及编程导论课程节选

All right? If you run it, you have a sense of the upper bound, about how much time it's going to take to do this computation, so you're not going to get surprised by something showing up.

第一，这样做意味着没有意外了对不对？,你去运行程序,你已经大致知道运行时间的上限了，因此发生任何事情,你都不会吃惊了。

麻省理工公开课 - 计算机科学及编程导论课程节选

In effect, the bank now has a target range for short-term rates: the upper bound is the 1% refi rate and the lower bound is the rate the central bank pays on banks' deposits with it, currently 0.25%.

ECONOMIST: Appraising the European Central Bank

So the strike price of the call you sell is the upper bound on your potential gain.

WSJ: Stocks Are Riskier Than You Think

My best guess would be that their calculation gives us an upper bound and the actual effect will be above zero but lower than their number.

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