Cai Peng quickly replied: "Yes, Professor."

Xu Chuan nodded and didn't say much. He took out a piece of A4 paper from the drawer of his desk. After thinking for a while, he wrote:

"Suppose K is a zero-characteristic differential field, ?\u003d{δ1,···,δm} is its differential operator, let L \u003d Khη1···ηni be K and a finite number of elements η\u003d{η1,·

··, ηn} generates the differential expansion domain.”

"Define Θ to represent the freely commutative semigroup generated by δ1,...

?..."

"Question 1: Looking for an algorithm that can determine the differential generating set η of a known differential extension field L on K."

"Question 2: Looking for an algorithm that can generate a set and the differential relationship of this set from the differential of a known differential extension field L on K, and calculate the minimum differential dimension polynomial of L/K."

In the quiet office, the sound of the ballpoint pen sliding on the white manuscript paper was particularly loud. Cai Peng couldn't help but swallowed when he heard the sound.

He seemed a little panicked.

Less than two minutes later, Xu Chuan stood up and handed the paper with the questions written on it to Cai Peng.

"Although it is my fault that I have not been able to teach you well in the past two years, let me see if you have wasted your talents and lessons in the past two years."

"The questions on this paper should be suitable for you. I will give you three days to solve as many as you can, including ideas and thoughts."

"If you have been lazy in the past two years, you may have to delay your graduation from me for a while."

.........
Chapter completed!