Scholar’s Advanced Technological System

Looking at the two people in the classroom, Liu Xiangping Professor slightly squatted and smiled and asked: “Only two people? I heard that there is one.”

“…I called her and asked her.” Wang Xiaodong smiled and took the phone and went outside.

The teacher was not in a hurry, unscrewed the mug, took a sip of hot water, and walked slowly to Lu Zhou, laughing and asking: “What is the configuration of your team?”

Lu Zhou put down the phone and smiled and replied: “I am responsible for modeling, Wang Xiaodong is responsible for programming, and Lin Yuxiang is responsible for writing thesis and defense.”

“Modeling, programming, writing, standard configuration,” Teacher Liu laughed, continue, “Say, you are the Lu Zhou of the third or third, your thesis I saw, it is really a good article. “”

Lu Zhou eyes shined : “teacher, are you also doing mathematics?”

“That’s right, but my research direction is biased towards physics, mathematics thesis is rarely made.” Teacher Liu blinked and looked at the door of the classroom, laughing and continuing, “You are a female partner, it seems not very reliable. what.”

Lu Zhou is laughing and politely.

Teacher Liu was also laughed, didn’t say anything on this issue, paused for a while, and continued: “About the configuration of your team, I suggest you can adjust it slightly. Modeling and thesis are the responsibility of the same person, the other two Responsible for programming. The advantage of this is that the person responsible for modeling has a strong grasp of the whole topic on the whole topic, and the text is more fluent. However, the disadvantage is of course, that is, your burden will be heavy. The game time is only three days in total. This means that you must start thesis writing right after you have finished modeling.”

Lu Zhou thoughtfully: “…is two people responsible for programming?”

Teacher Liu took a sip of tea and said slowly: “Yes.”

Lu Zhou laughed, did not immediately give a reply: “I will consider it again, after all, this matter has to be discussed with teammates.”

At this time, the footsteps of the trot came from outside the corridor, and the last teammate was finally late.

“Not good, I am a little late, really really sorry!” Lin Yuxiang and Wang Xiaodong walked into the classroom together, and Lin Yuxiang looked down at the teacher and bowed his head.

“Nothing, since people are coming together, he will start soon.” Liu Xiangping teacher laughed easily, did not blame her lateness, turned and walked to the podium, inserted the U disk into the computer, and opened the projection Instrument, released his PPT.

“Before starting the lecture, I hope that you will come to see an example first. This question is not difficult in itself, but it can be used as a case of mathematical modeling. I hope that through this case, you can understand what mathematical modeling is. ”

Said, he pressed the mouse and turned the ppt to the next page.

“Three merchants each take a boat to cross the river, a boat can only accommodate two people, followers secretly, on any shore of the river, once the number of followers is more than the merchants, killing people, but how to cross the river by boat The power of the people is in the hands of the merchants. Q: How can the merchants cross the river safely?”

Indeed, there is no difficulty with this question.

Even without relying on the power of the system, Lu Zhou quickly came up with the answer and replied.

“The first round, two followers, one follower.”

“The second round, two more followers, one follower.”

“In the third round, two businessmen passed, a follower and a businessman came back.”

“In the fourth round, two businessmen passed and one followed.”

“The fifth round, two followers, one follower.”

“The sixth round, the last two follow the past, successfully crossing the river!”

“pa pa pa!” Lin Yuxiang patted his hand and whispered his face, his face full of worship.

Wang Xiaodong’s expression on his face was unmoved, and he looked like a world expert.

In his opinion, this question is really not difficult. Although he didn’t think about it, he believed that his IQ was at the same time and he took a little time to solve it.

“Exactly right.” Teacher Liu laughed, continue, “Even if you don’t need any mathematics knowledge, you can solve this problem simply by logic analysis. But what if you extend the problem to N merchants?”

This problem is really difficult, but it is not difficult to be in the aspects of mathematics, but it is difficult to solve this problem by abstracting it into mathematics.

Lu Zhou thought for a moment and had a general idea in his mind.

“Can I use the blackboard?”

“Of course,” Liu Xiangping Professor smiled and made a gesture of asking.

Lu Zhou stepped forward and picked up the chalk to start the blackboard on the blackboard.

[1 number of merchants on the shore before the kth crossing the river is Xk. The following numbers are Yk, k=1, 2, …, Xk, Yk=0, 1, 2, 3. The two-dimensional vector Sk=(Xk, Yk) is defined as a state, and the state set under the safe crossing condition is a set of allowed states, which is denoted as S.

Available S={(X,Y)|X=0, Y=0, 1, 2, 3; X=3, Y=0, 1, 2, 3; X=Y=1, 2}

The number of merchants on the kth ferry is 2 Uk, and the number of followers is Vk. The two-dimensional vector Dk=(Uk, Vk) is defined as a decision. Allow the decision set to be recorded as D, which is known by the boat capacity: D={(U,V)|1≤U+V≤V, U, V=0, 1, 2}

3 Combining the above conclusions, the variation law of state Sk with Dk is: S(k+1)=Sk+(-1)^k*Dk

】

“It’s so powerful…” Looking at the blackboard on the blackboard with a blank look, Lin Yuxiang opened his mouth slightly and looked at Lu Zhou, who came down from the podium, and whispered in surprise. “Do you not need to draft a draft?” ”

“Play in your heart,” Lu Zhou laughed.

Wang Xiaodong is as silent as ever, without speaking.

However, from his expression, this arrogant Study tyrant is completely convinced of Lu Zhou’s mathematical ability.

Looking at the process on the blackboard, Liu Xiangping Professor smiled nodded: “Exactly! But from the perspective of mathematical modeling, this work can only be half done. After completing the modeling, we still need a program. This model is implemented. Of course, this model is very simple, I believe that with the ability of our fellow student Wang, this level of program is definitely a handy, not to waste valuable time here.”

Wang Xiaodong pushed the glasses, and the expression on his face was still indifferent, and that was the way of course.

Although there is no chance to show his programming skills on the spot, he is a little regretful.

After a pause, Teacher Liu continued, “Data modeling is actually a process of simplifying a real problem into a problem that can be expressed in data and a very short language, and then through the maths tools to solve the problem.”

“So the key is what the actual problems your team is facing?”

“Modeling is not about examining the team’s programming skills, nor about the capabilities of mathematics, but about the ability to translate real problems into data language and solutions. You must remember this.”

“I don’t have much advice about the modeling itself. There is no more shortcut than to practice and broaden the knowledge. As far as programming is concerned, I can say two things.”

“The four main types of software are commonly used, Matlab, Mathematica, Lingo and SAS. You don’t need to master all of them. At least you can master one of them. The key is to use the software that suits you to solve the actual problem.” Liu Xiangping Professor is watching Wang Xiaodong.

Because of this sentence, the main thing is to say to him.

Wang Xiaodong pushed the glasses, nodded and said: “I have used Matlab and SAS, the problem is not big.”

Professor Liu nodded: “These two softwares are basically enough. These things require you to teach yourself. What I can do is provide guidance when you don’t understand.”

“The last is about reference books. I recommend that you look at books such as mathematical modeling cases, such as “mathematics model”, “mathematical modeling algorithms and applications” and “mathematical modeling basic tutorials”.

“I have some handouts and materials inside the school. You can copy them back and read them, but remember not to pass them outside, and you can’t upload them online. Understand?”

“Understand!” Three people have the same voice.

Professor Liu laughed and said, “Okay, I am here today. I have nothing else to say. I mainly rely on you. I need the information to download it. When I am finished, I will go back to revision English.”