"I'll try." Xu Chuan replied.

Although he could solve the question on the paper card, he didn't finish the words, but said that he would try it first.

If he used the conventional method, he would definitely be able to do it.

But from Zhang Weiping's words just now, Xu Chuan knew that he should be concerned about the kind of method used to solve the problem at night.

Now that you are solving the problem by yourself, you should also start from this method.

And this idea of transforming the Dirichlet function into integrals, which he has only been working on for a short time, has not yet been published, and I don't know if it can be applied to this kind of mathematical law problem.

......

Paying attention back to the cardboard in his hand, Xu Chuan carefully re-read the question on the cardboard, and then fell into deep thought.

On the side, Zhang Weiping watched nervously and expectantly.

He wanted to go forward to observe, but he was worried that it would interfere with Xu Chuan's solution.

The three questions that the students of the National Assembly did tonight were indeed disassembled from the paper card.

That's why he attaches so much importance to this new way of solving problems.

The simpler the methods and steps for solving problems, the easier it will be to write the corresponding mathematical model, which is extremely important for mathematical modeling of information warfare.

Xu Chuan didn't think about it that much, although this was his goal, but he hadn't linked this matter to the information war after the IMO for the time being.

It's only now that the national market is held, and there are still a few months before the IMO will be held.

He only wanted this new mathematical method to attract Zhang Weiping's attention, after all, for any mathematician, a new method of solving problems is the object of attention.

Just like when he was training in the province before, he used a new method to solve physics problems, which immediately attracted Xu Cheng's attention.

......

After thinking for a while, Xu Chuan picked up the pen and paper in his hand and began to calculate.

Solution: Starting from the Laplace transform, we get L(f(t)/t)(s)=∫⁹sL(f(t))(9)pd......

From this, the Dirichlet integral can be obtained to ∫⁹sL(f(t)....

Calculated by double finite integrals, the order of the integrals is (I₃=∫⁹s∫⁹₀.... ）

Proof:......

The key to solving the Dirichlet function in the simplified method is to convert it into a Dirichlet integral, which is achieved by mathematical analysis or complex analysis.

However, the Dirichlet function is a measurable function that is discontinuous everywhere, and mathematical analysis and complex analysis are not applicable in all cases.

At least in this complete question, Xu Chuan could not find a place to use mathematical analysis and complex analysis.

After thinking about it for a while, he decided to twist this law of Dirichlet function by using the Laplace transform and double finite integrals.

Although this method is feasible, it is not a small problem.

The most troublesome part is the base transformation included in the problem, which needs to convert the decimal system commonly used in mathematics into binary when calculating the values, which is very troublesome.

Fortunately, he had studied binary for a period of time before, so that he could smoothly convert the Dirichlet function into Dirichlet integrals without interrupting the calculation.

After converting the function into an integral, the next idea is much smoother, just use the complex variable function and the integral to transform, and then solve it.

It took a moment for Xu Chuan to calculate the answer.

However, the calculated answer made him feel very puzzled.

（116.72）（39.56）（14.1225）！

Three sets of numbers, strange answers, at least he had never seen anything like this.

As I said earlier, the Dirichlet function is quite peculiar, it is a function defined in the range of real numbers, the range of values is not continuous, and it is an even function.

Normally, the answer is that the value of the answer will be evenly symmetrically distributed in the two segments of the Y-axis, that is, any x in the defined domain of the function f(x) has f(x)=f(-x).

However, it is clear that the above three sets of values do not conform to the law of the Dirichlet function at all.

But he figured out the answer again, what is the situation?

Staring at the answer he solved, Xu Chuan was a little confused, and for a while, he even wondered if he had made a mistake in the process of solving the problem to get such a set of numbers.

After seriously revalidating his solution process, he finally determined that there was nothing wrong with his verification process, but the problematic problem.

"Teacher Zhang, let's see if this answer is correct, why do I feel a little problematic?"

After making sure that there was no problem with his answer steps, Xu Chuan got up and handed the manuscript paper in his hand to Zhang Weiping, who was standing aside.

"Is it solved?"

Zhang Weiping was in a trance, glanced at his phone, and about fifteen minutes had passed.

Fifteen minutes, can you decipher an encrypted message?

That's faster than most of the math professors in their information security department.

Is this possible?

A high school student with better math skills than most math professors?

Or is it really that easy to solve? Or did he not solve it and wrote a wrong solution process and answer?

Zhang Weiping couldn't help swallowing his saliva, and reached out to take the manuscript paper and look at it.

He didn't look at the proof process first, but went straight to the bottom of the answer.

（116.72）（39.56）（14.1225）！

The answer is absolutely correct!

Looking at the three sets of numbers on the manuscript paper, Zhang Weiping's breathing suddenly became heavy.

If the answer is correct, then there is a high probability that the process will be correct.

Without the correct push process, it is impossible to write a few random answers that just match this set of answers.

If the process is correct, then the ideas and methods of solving the problem ......

......

With thoughts in his mind, Zhang Weiping quickly turned his attention to the verification process, which occupied most of the page.

Half an hour passed, and he finally breathed a sigh of relief, raised his head and stared at Xu Chuan with shining eyes, like looking at a monster.

The student in front of him, he really can't understand it now.

For the vast majority of high school students, even those who can enter the IMO, the three years of high school are basically the stage of laying the foundation.

Even if you are a genius, you can accumulate enough college knowledge in high school, but accumulating knowledge and applying this knowledge like a fish in water are completely different concepts.

Not to mention this kind of innovation, which is even more rare.

It is impossible to innovate without integrating the knowledge in your mind.

What's more, this method of solving problems at the moment is not purely mathematical.

The Dirichlet function is transformed into a Dirichlet integral by using the Laplace transform and the double finite integral, and then the complex variable function is used to find the integral and then solve.

Although the proof process is a simple mathematical language, the idea is a combination of the calculation of the critical and linear independent special solutions of the damped free vibration equation in the field of physics

This kind of innovation is more difficult than innovation in the field of pure mathematics.

After all, there is generally only one area of knowledge that a person is proficient in, and there are very few geniuses who can integrate mathematics and physics.

Even if there is, it is usually only after entering university or even graduate school that this talent is revealed.

In high school, he couldn't even think about it.

.....