However, this study should be based on the fact that the series must have consistent convergence, the judgment of which is rather difficult.

对于函数级数，研究其和函数的解析性质很重要，但函数级数必须具有一致收敛性，而判断函数级数的一致收敛性往往是比较困难的。

youdao

Firstly, the suggestion seems to be based on the fact that new college graduates may have learned mountains of theories but lack practical abilities.

首先，这样的建议似乎依据的是，许多应届生或许已经学习了大量的理论知识，但是他们缺乏的是实际的能力。

youdao

The two-minute guideline is based on the fact that most things that can be handled in that time frame would actually take longer to organize and review again than to finish in the moment.

两分钟的原则是基于这样的一个事实：大部分能在这个时间段完成的事情，如果不在此刻做的话，那要再做它时，就需要花费更多的时间去重新组织和回顾。

youdao

"A decision that I consider to be not only be unwise, but in fact based on a refusal to face the fact that what we are involved with here is a war with people who follow a religiously-based ideology that calls on them to kill us,and to return instead to the mindset that prevailed before September 11,2001,".

VOA: standard.2009.11.25

I think, for example, in my own relationships,talks about my marriage, where I have to be vulnerable, I have to take a risk, where in fact I have to be willing to change my mind about my reading of the situation, based on my own fears and insecurities and anxieties.

举我自己的感情，我的婚姻作为例子吧，在婚姻中我会很脆弱，我必须冒险，而且，我必须愿意去改变自己,对当前状况的解读，不安全感和焦虑的影响而变得盲目。

普林斯顿公开课 - 人性课程节选

My invitation must be based on the fact that Dr. McFarland was a previous speaker and did a good job.

FORBES: Martin Luther King Day

American fears may be based on the fact that its leaders know from experience that telecoms companies can be helpful espionage assets.

ECONOMIST: Huawei

Decisions need to be based on fact and the mathematics behind the industry, not politics.

BBC: Delay in signing Hull Green Port wind turbine factory deal