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High number problem
Landlord's question, good question
However, if you keep asking, there may be two results:
1. First of all, become a real world-class mathematician in our future.
Up to now, we don't have a world-class mathematician, even a second-rate mathematician.
Not half of it. Now those so-called calculus textbook writers, all
It is far away from third-rate and dirty feet.
2. The second is to become a public enemy of the whole people. As for this article, it can be explained in the following answer.
The landlord's first question:
Is infinitesimal a function?
A: Yes! Absolutely!
Infinitesimal is a function that tends to 0!
Is a process, in calculation, sometimes you can substitute 0, sometimes you can't!
Myth: There are too many textbooks and too many fooling around. The professor will say "0 is infinitesimal".
0 is 0, which is a specific number, not a small process!
The zero in the infinitive is not a real zero, but an infinitesimal code;
So 0 can be used as an infinitesimal code, but 0 is not infinitesimal.
The landlord's second question:
Is the sum of two infinity necessarily the answer to infinity?
A: The sum of two positive infinity must be positive infinity;
The sum of two negative infinity must be negative infinity;
The sum of one plus one minus two infinity is infinitive = infinitive.
The third question of the landlord:
Does the extreme point of a function have to be the stagnation point?
Answer: Extreme value has a maximum value maxima and a minimum value minima.
The full name of the point with the first derivative equal to 0 is satiety point, which we translate as stagnation point.
The extreme point must be stagnation point, and stagnation point is not necessarily extreme point, such as a horizontal straight line.
The point where the second derivative is equal to 0 is also the stagnation point, and the full name is:
Inflexion stagnation point, POI for short. Our translation just said that this was a turning point.
As for the subtle details and original meaning in English, we have ignored them.
The fourth question, I can't see clearly.
Summary:
1. Calculus was established and perfected by westerners hundreds of years ago. We didn't make any contribution, and we still do.
2. In our textbooks, translation a hundred years ago refined and deepened some concepts. But through Qian Qian,
After people who don't know English at all are willing to explain words, modify words and spread them around, many concepts have been
Deviated from the original intention, some of them were completely unrecognizable and could not be translated into English at all. The result of hard translation, and
Contemporary theories are quite different, which only leads to international jokes. If the landlord insists on pursuing
Punch in and ask questions, and your professor will immediately become angry from embarrassment, and so will the students around you.
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