Harry Potter Morning Light

At the beginning of the 18th century, there was a river passing through Königsberg in Prussia. There were two small islands on the river, and seven bridges connected the banks of the two islands.

Someone asked a question, how can a walker walk through seven bridges at a time without repetition or omission, and finally return to the starting point. Later, the mathematician Euler transformed it into a one-stroke drawing problem, just like drawing five-pointed stars that many children often played when they were young.

Euler opened and created a very important and far-reaching field of mathematical research - graph theory, and on this basis, after various researches and supplements, topology was formed.

In the 19th century, two German mathematicians discovered the Möbius ring, which is a typical topological figure. Take a long strip of paper, twist one section 180 degrees, and connect the ends. Take a pen and draw a line along a straight line, and you will find that the line can spread all over the surface.

The Möbius loop appears to be three-dimensional, but is actually an infinite surface, so it is two-dimensional, and to obtain it requires warping space. Although people's left and right hands are very similar, they are fundamentally different. It is impossible for us to fit the left glove to the right hand, nor can we fit the right glove to the left hand, no matter how you twist it. But if the gloves are moved to the Mobius belt, it will be easy to solve.

Because this is an unoriented surface, left and right have no meaning on this surface. To distinguish between left and right, we must first orient. Assuming the self-centered, when facing forward, left is left and right is right. While Phoebe could still hear the people outside, Felius asked her to hold up her left hand.

Distinguishing left and right is second nature to some, and a challenge to others. Fortunately, Phoebe and Joey have no problems with this, and Phoebe raised her left hand without a hitch.

When the person outside the mirror raises their left hand, the person inside the mirror raises their right hand. When the person in the mirror raises their left hand, it is equivalent to the person outside raising their right hand.

Plus Phoebe keeps banging on an invisible wall, it's like she's locked in a mirror world.

Albus Dumbledore first ruled out this possibility. Pomona didn't know the specific reason. Later, Fei Liwei contacted the professor of Ifamony College and asked her about the wall-binding spell, but he didn't get any answer. Answer.

Topology does not discuss graph congruence, but topological equivalence. For example, a football and a football are equivalent in topology, and a football and a swimming circle are "different" spaces.

Unraveling this curse is also a coincidence. A Ravenclaw girl moved a portrait of a student who always loves to frame her students from the grand staircase to another place. The Fat Lady and Violet expressed their support. He drank with Wu, and he always boasted how important he was to the whole reception, and what he would do without him.

Peeves likes to throw him with colored water balloons, and just as he was screaming, Felius passed by. When he saw Ferdinand, the wizard who liked drinking parties, the stain on his shirt suddenly realized, and then put Phoebe's curse is broken.

Batman has many enemies, one of them is the clown. The original clown was an employee of the Wayne pharmaceutical factory. Because he fell into the chemical tank and was disfigured, he kept a weird smile forever just like the clown.

The later clowns have other settings, "Joker" Jack's dream is to become a comedian, but neither his dream nor his life is very successful. He has a theory: "All it takes is one bad day, The most rational man can be mad."

So an innocent little person becomes the most dangerous person. People like Bruce Wayne don't understand that because of lack of money, the hospital refuses to treat her relatives, so she has a chance to live, but she can only watch helplessly. What would it be like to watch her die?

The clown just robbed the bank at first, and later caused even greater riots in Gotham. Citizens put on clown masks and started a "carnival", and the city fell into chaos.

There is a story in the Bible. There is a king who said to the tax collectors, "Whoever has, he will be doubled, and whoever has nothing, even what he has will be taken away."

When a man has too little land and the tax collector takes what he has, his mind changes:

Anyway, there is nothing left, so what is there to be afraid of?

A person without a family dragging him down can do things that people with a family can't imagine. No one will stop him, remind him of the consequences of breaking the law, and no one will make him worry, he will be dragged down by himself, he can do whatever he wants.

If the Joker knew about Batman's childhood, he would sympathetically say "sorry for your loss" to Batman, and then go on to do what he finds crazy and funny.

"Fun" comes first. In order to maintain the "boring order", many people usually live a depressing and boring life. At this time, Batman is the "boring order maintainer".

Why does Batman have to see the bat light on before going out?

Bruce Wayne could actually go on drinking and partying with other rich people at parties and sailing with Russes ballerinas, leaving order and security to the police and calling them a waste of taxpayer dollars if they don't do a good enough job money.

But that kind of life is certainly not as fun as spending expensive toys and catching criminals. This is also a kind of hunting, similar to the nobles in the feudal era, the difference is that the prey caught is different.

Barnaby Lee also had a bad day. His parents were executed in Azkaban. He was wearing a red dress and sitting at the three broomsticks table that day, celebrating the death of his parents with Snape, surrounded by Drinkers say he's crazy.

He has no relatives, except for an uncle who is not in school. Now he has a few friends at school, but they're all dragged down by him, and the best thing he can do is to drop himself out so he can protect them.

But without anyone else, just him and Paul, Pomona wondered if he would be affected by Paul, even though he was immune to the dark arts.

Severus's good mood didn't last for a few days, because Rohart's smiling face winning the Best Smile Award appeared again in the Daily Prophet. , was awarded the third class Medal of the Order of Merlin, and also became an honorary member of the Anti-Dark Arts League.

"Our mission is to end black magic and fill the world with love and peace."

After winning the award, Rohart said in an interview that the pressure of the old bat after watching the news continued to soar, so that the students saw him and made way like Moses parting the Red Sea.

In the "Education of the Monarch" described by Gerald of Wales in the 12th century, Richard the Lionheart was mentioned. Richard said, "We are from the devil, and we will end up in the devil."

The seven deadly sins are all represented by the devil. The devil who represents anger is called Samuel. The Hebrew word means God's severity. Is it actually a "clown" who hopes to be frustrated everywhere and hone his will in failure? Does he not want to be born with anything?

Human beings are like wolves.

So on the first day of Severus' Potions class, why did Barnaby howl like a wolf? Pomona really had to ask him.

But the first thing she has to do is to calm herself down.

Especially what she has to face is another Ravenclaw. Ravenclaw is really lucky in the past two years, and there have been two Merlin Medal holders.

As for the Celestial Ball, after Leeds had been maligned by gossip, Pomona felt it was even less necessary.

It's a pity that no one survived at the ball like a detective novel, and it is estimated that it will continue to be held next year.

At this moment, she suddenly thought of a good idea and left the office.

She was going to find Peeves, and that day Liz was worried that Peeves would make trouble because no one invited him to the ball. As a result, all the ghosts did not go that day, and Peeves did not participate.

Now what she wants Peeves to do is exactly what Liz is worried about. Peeves just needs to take water bombs and throw them on the only way to Ravenclaw Tower for the invited people. How about going to the ball in a gown of various colors?

She would find a way to stop everyone who tried to stop Peeves, Peeves would have a good time, it would be a good deal, a "win-win" for both of them, why not do it?