"Not long after, the relationship between the two of them was discovered by the king. The king was very annoyed and expelled the mathematician. The princess was also under house arrest. Not long after, the mathematician who returned to China became ill and became terminally ill. He kept writing letters to the princess, but was intercepted by the king. The princess did not reply for a long time. He seemed to understand something in his heart. When he was dying, he sent the last letter - a formula "r=a(1-sinθ)".

"After the king received the letter, he had not understood it for a long time, so he gave it to the princess. The princess solved the formula with the knowledge taught by mathematicians. The moment she saw the answer, her heart was about to break, because it was a heart-shaped pattern composed of curves."

After saying that, Ye Qiu looked at Qiao Qiangliang in front of him and smiled slightly, "This is just a beautiful story made up, but it does not prevent the world from feeling sad and touching about this fabricated story."

"The setting of poverty is wrong in itself. Cadill was born in a noble family in France. His living conditions were very good. Even if he didn't work, he could eat and eat. This allowed him to focus on research in academics. When he and the princess said "meet", the princess was not 18 years old, but 24 years old."

"And her father died when she was 6 years old, and she also became a queen of a generation, so there is no such thing as a princess' love being blocked by her old father."

Ye Qiu paused slightly, looked at Qiao Qiangliang and couldn't help laughing. He also said with a smile: "The heart-shaped line was proposed in 1741. At this time, Descartes had long died. If we want to say that the only connection between Descartes and the heart-shaped line is probably that he is the inventor of analytical geometry, but analytical geometry is for his new science, and it was not for mathematics."

"As for whether he and Queen Christina really have love, I think this is ambiguous. The only fact that can be provided is that after Descartes' death, Christina really converted to Catholicism."

Qiao Qiangliang couldn't help but smile: "I didn't expect Mr. Ye to tell this false story so bluntly, but what does Mr. Ye have to think about this heart-shaped line?"

Ye Qiu heard this and smiled slightly and said, "The mathematical coordinate picture of r=a(1-sinθ) is a trajectory formed by a circle with a radius a surrounding a circle r1=-a·sinθ with its radius equal to its radius."

"A heart-shaped line is a trajectory formed by a fixed point in a circle when it rolls around another circle with the same radius as it, and is named after its shape like a heart."

"The function number r=a(1-sinθ) has two variables, which can be assigned and solved by a, and the function image is a heart-shaped line. This equation is also called Descartes' love coordinate formula. As for a=1, a=2, a=3, the heart-shaped line is also different."

Ye Qiu said, then suddenly turned around, looked at the two girls behind him, and showed gentle smiles at them.

"Sorry, can you borrow your paper and pen?"

The two girls were taking pictures with their cell phones when they suddenly heard Ye Qiu's voice. Looking at the warm smile on each other's face, their cheeks turned slightly red, and they stammered and said ok.

The girl hurriedly took out the paper and pen. After Ye Qiu took it, she smiled politely and said thank you, which made the two girls in front of her red cheeks.

Ye Qiu turned around again, put the paper on the table, and began to write with a pen.

Although An Ran next to her loves physics the most, her grades in mathematics have never been lower than the top three in single subjects in school.

What's more, mathematics and physics are also somewhat connected. She looked over curiously from the side, and when she saw it, she was so surprised that she couldn't even close her mouth.

Although he knew Ye Qiu was very smart, she could write the answers directly on paper without any calculations, which made her feel unbelievable.

This kind of mental arithmetic method is even better than Qiao Qiangliang's maze mental arithmetic!

Not only An Ran thought so, but Qiao Qiangliang also thought so. He looked shocked and watched the young young man in front of him continue to write, preparing to wait for Ye Qiu to finish writing after he finished writing, and asked what kind of new algorithm he was using.

But what neither of them knew was what Ye Qiu used to use. Not only did he use the powerful theoretical logic and thinking calculations in his mind, but he also used the knowledge he had absorbed from Qiao Qiangliang's mental arithmetic maze textbook.

When the two are combined together, Ye Qiu, who can build a calculation process in his mind, can naturally write more handy and faster.

At this time, Ye Qiu lowered his head slightly, not knowing how shocked the two people in front of him were. He just held the pen, in an orderly manner, and wrote down at an extremely fast speed.

"When a=1, the perimeter of the heart line is 8, and the area surrounding it is 3π/2.

Heart line is also a type of clavicle line.

The figure in the middle of the mandelbrotset is a heart line.

The expressions of the plane rectangular coordinate system equations of the heart-shaped line are x^2y^2a*x=a*sqrt(x^2y^2) and x^2y^2-a*x=a*sqrt(x^2y^2) respectively.

Parameter equations

x=a*(2*cos(t)-cos(2*t))y=a*(2*sin(t)-sin(2*t))

The enclosed area is 3/2*pi*a^2, and the arc length formed is 8a."

Stopped the pen in his hand aside, and Ye Qiu put the paper in the center so that both of them could see the results.

After watching from beginning to end, Qiao Qiangliang was next to him again and calculated it himself.

Seeing the result he calculated, it was exactly the same as the answer Ye Qiu wrote in two minutes. Qiao Qiangliang only felt that this world was too fantasy, and he felt that it was a little bit unreal.

Looking at Ye Qiu's calm look in front of him, Qiao Qiang pointed to a sentence in his mind.

Sure enough, there are really geniuses in this world, and there are even talents among geniuses that are hard to match by people in the world, and even terrifying.

"Although I know that there is no big connection between Kadir and the heart-shaped line, the person who proposed this heart-shaped line is also very smart. I didn't expect that Ye, you can give the answer so quickly. While it is beyond my imagination, I think Ye is the most creative and self-thinking genius I have seen."

Ye Qiu was moved by Qiao Qiangliang's high evaluation, and he also felt that the Chinese in front of him was even more humble and polite than he thought.
Chapter completed!