The Primordial Wizard

Chapter 19 Probability Problems

At the meeting of the highest jury, demigods, legendary wizards and several other attendees reached an agreement. According to the principle of entropy increase and the hypothesis of the chain of suspicion in the dark forest, in the astral world, all the wizarding world can do is to increase external entropy internally. Entropy decreases.

It's a pity that the wizard world cluster has not found other worlds in the recent period. The tower wizards are like scavengers drifting in the astral world, just utilizing and transforming the leftover waste.

"Really, after becoming a mythical wizard, I still have to pick up trash, I really want to conquer a world,"

Betty stuffed a large piece of leftovers into the magic net of the wizarding world cluster, and let the magic net pull into the world, complaining in a low voice.

Bayern stroked his long white beard and said with a smile: "This is entropy reduction. We cleaned up unnecessary waste in the astral world, just like reusing the waste heat consumed when converting mechanical energy into electrical energy. This will benefit our world. It is beneficial to the star world.

We need to spread this cause throughout the astral world! "

Betty glared at Bayern, turned and left, muttering: "It's hopeless."

It was night, and Betty couldn't sleep in the Wizard Tower. He got up and began to simulate the isolated system, but found nothing. Instead, he started to create a closed-loop system with switches, and the runes kept flickering. After repeated failures, Betty created A bizarre little mechanical ball.

"Legendary treasures have only one ability, which is state conservation, which can fix one's own life state and soul state to a certain stage.

Relying on external regular intake of energy to maintain the internal closed-loop system, following the law of conservation, and stabilizing the state, it may be called the ball of state conservation, the ball of eternal life. "

Betty raised the mechanical ball high, with a complicated look on her face.

This mechanical ball is undoubtedly a very high-level creation. As long as a life above the first level has it, it can have theoretically unlimited life, because the mechanical ball will stabilize the life state of the holder at the current state.

However, this also has huge drawbacks.

If it is stabilized in a certain state, the wizard will lose the possibility of going down as well as the possibility of going up. He must regularly turn on the mechanical ball to absorb energy from the outside to maintain his own state. In other words, this is a stable state. device and can periodically reduce entropy.

"This kind of immortality will lose its future potential, and it can only be used by beings below the legend, and the existence above the legend cannot be stabilized. Maybe in the twilight years, golden wizards who are unwilling to transform into a lich and do not want to die can use it.

Donna has been promoted to a legendary wizard,

Teach her this skill, maybe she can make a small fortune haha. "

Betty thought for a while and put the ball aside.

Three weeks later, the legendary creation known as the "Guardian Ball of Life" became popular in the world of heaven. Most of the golden wizards have not yet entered their twilight years. There was a lot of discussion about the ball, and many wizards who were unwilling to transform into a lich thought it would be okay to use such a ball to achieve flawed immortality.

While everyone was discussing, a mathematical monograph by Ace was quietly released. This monograph is called "Probability Theory".

Ace personally sent this monograph to the "horoscope predictor" Bayern, which made Bayern a little confused, but out of respect for Ace, Bayern respectfully read it.

Ace's eyes were shining, and he said softly in his study: "Determinism cannot last forever in the wizarding world, Bayern, if you want to continue on, you must change your past thinking. Thermodynamics is the first touchstone." , I hope you can understand."

Holding the book in both hands, Bayern looked at the word "Probability Theory" and fell into deep thought.

"Master Ace's move must have a deep meaning. Even if He usually publishes monographs, he never gave them to me. Why did he give me this mathematics monograph? Is there something I lack?"

Bayern gently opened the title page, which read "The Creator flipped a coin, so there is a probability."

The Creator added a mark, and Bayern's heart trembled. He has always believed that everything can be reasoned. As long as all clues are found, everything can be determined. With all causes, definite results can be derived.

"The probability of an event is a measure of the likelihood of that event occurring.

Although the occurrence of a certain event in a random experiment is accidental, those random experiments that can be repeated under the same conditions often show obvious quantitative laws.

..."

Bayern's brows became more and more frowned. He finally finished the book and murmured: "The law of large numbers is the mathematical expectation that the sample mean converges to the sample mean according to the probability (different distributions) or The overall mean (same distribution). The central limit theorem is that generally in the case of the same distribution, the limit distribution of the sum of sample values ​​​​when the population tends to infinity is close to the normal distribution."

He suddenly recalled what Ace said before he left: "I hope you can apply it to the field of mechanics."

Bayern felt a little absurd for a while, did mechanics even need to use probability?

He leaned over his desk to think, and wrote some random thoughts on a roll of parchment. The silence outside the window was extremely quiet, and the stars in the night sky flickered.

As the only wizard of mythology, Bayern is no stranger to the current fiery thermodynamics. His mind seems to be opened and he writes with a pen.

"The essence of heat is energy, so where does the energy come from? Maybe it is the result of the movement of particles. It has been confirmed and observed. Such particles are elements and various compounds, and objects are composed of a large number of moving molecules.

Each molecule has a certain amount of kinetic energy, which manifests itself as heat.

When two objects rub against each other, the molecules on their surfaces contact each other. In the constant friction, the collision between the molecules becomes more intense, the kinetic energy increases, the surface temperature of the object rises, and the heat energy increases.

The whereabouts of a single molecule are strange and erratic, and the number of molecules is huge, it is impossible for people to analyze the movement of each molecule one by one.

This is like a gourmet wizard frying a plate of delicious beans. It is impossible for him to taste the saltiness of each delicious bean one by one. More or less, measuring them on a macro scale is the practical way to go.

Among the three states of solid, liquid and gas, it seems to be less constrained and easier to study gas.

For example, to study pressure, we can count the impact of gas molecules. Although the impact force of each molecule is negligible, it cannot be ignored when the number is large. As the temperature rises, the movement of molecules intensifies, and the impact force per unit area per unit time will be greater. , macroscopically manifested as an increase in pressure.

..."

While Bayern was writing, his mental world also changed drastically. This change was mapped to the demiplane. Various natural anomalies appeared in the originally stable astrological universe. The stars suddenly exploded, and the gravitational force was greatly distorted. Doomsday in general.

Like a piece of chaos, if explained by the entropy increase theorem, the entropy of Bayern's demiplane suddenly increased greatly, almost reaching the end in a short period of time.

But soon this kind of entropy stagnated, Bayern began to absorb the power of the great source of fantasy, and Ace also opened it up, and soon his demiplane stabilized, it seemed the same, but in fact there was very different.

Bayern continued to write: "The real logic in the world is the calculation of probability, because the probability distribution exists objectively, and the task of mechanics is to find the laws that exist objectively. We regard each molecule as a particle, so that every The movement of a point is divided into three mutually perpendicular directions, that is, the three-dimensional coordinate system.

Then we discuss the moving speed of gas molecules in the ideal state, and finally, considering the macroscopic nature of molecules, we get the distribution curve of the speed.

The velocity distribution curve is a good research method for us, and the probability theory is an indispensable and powerful tool for studying mechanics.

But there will also be a problem at this time, that is, the small probability events that are ignored in probability theory! "

Bayern's stable demiplane is also slightly different. Since there are high-probability events, there must be small-probability events. Bayern's state is very strange. He suddenly feels that the future has become disordered. The seven-ring spell model that he relies on as his foundation Turning into a probability cloud and disintegrating in an instant, he spat out a mouthful of blood, but luckily the world didn't shatter and freeze.

"Will the following situations exist?

For example, in childbirth, the probability of giving birth to boys and girls is 1/2. Will all human beings give birth to boys or girls in a certain year?

It sounds ridiculous, but it is an undeniable objective fact, however small and pathetic.

Assuming that our civilization can last for 10 billion years, this small probability multiplied by 10 billion will become very large. Maybe all boys or girls will be born in a certain year, which makes us feel indifferent, but in the field of mechanics, there will be many Weird phenomenon.

For example, a bottle filled with gas will walk by itself (all molecules move in the same direction), thousands of stones will automatically become castles, steel will automatically become a mechanical computer, and ink accidentally spilled on parchment will automatically complete a poem , what would such a world be like? "

Bayern stuffed the article into the mouth of the shadow crow, and the shadow crow took the paper to the editorial department of "Magic", and soon the paper was distributed to Betty and Ace. This is a paper for mythical wizards, and only wizards of equal or higher are eligible for review.

This paper was published soon, and the second law of thermodynamics proposed by Ace has not yet calmed the wizards, and Bayern's "Statistical Mechanics" has made the wizards even more at a loss.

The wizards are still not familiar with the second law of thermodynamics, and Bayern's question seems to be unassailable, which makes them extremely puzzled.

Bruce felt like his head was about to explode, but fortunately it didn't really explode.

Lying in Elena's arms, he said angrily: "This damn probability theory, damn statistical mechanics, can I automatically generate a 'fireball technique' by randomly gathering magic power? Although the probability is extremely small , but it’s not impossible, this feeling is too bad.”

Allen, Eva, and Luther watched the two sprinkle dog food, feeling a little sour in their hearts.

Luther said: "If this is feasible, can we create such a magic based on statistical mechanics to direct small probability events, thereby producing all kinds of incredible changes?"

Allen questioned: "But this does not conform to magic, nor does it conform to nature. The existing natural phenomenon does not have such a naturally generated castle. Maybe there is something that Bayern has overlooked."

They looked at each other, and they both saw the complexity in each other's eyes, which seemed unexplainable.

The discussion was still fermenting. Radical wizards even tried to create small-probability event magic, but they failed undoubtedly. At this time, an article by Ace was published, which completely solved the probability problem raised by Bayern.

"I noticed the problem that Bayern raised in statistical mechanics, but unfortunately no one has tried to understand it in terms of the law of entropy increase. From the perspective of entropy increase, in an isolated system, that is, a system that is not affected by the outside world In , it is impossible to achieve transformation in unnatural direction.

According to the second law of thermodynamics, the entropy of an isolated system can only remain constant or increase, and will never decrease. If it decreases, it means that the transformation in an unnatural direction has occurred, and this is impossible without external interference.

Entropy is applicable to all natural phenomena. A simple understanding is that those who follow the natural direction will prosper, and those who go against the natural direction will perish.

Any entropy reduction cannot be accomplished by an isolated system alone, and there must be interference from external forces. Although a castle is piled up in an orderly manner with countless stones, it cannot be achieved without human factors. It is impossible for stones to act against the laws of nature. "

This little article by Ace quelled the controversy, and the concept of entropy began to take root in people's hearts. More and more wizards noticed the inference of heat death, and some wizards created various isolated systems based on it, and determined the isolated system at the experimental level. It will tend towards disorder, and the whole world will perish.

This demonstration on the level of spells shocked most wizards even more. It is not known whether the astral world is an isolated system, but the world is indeed not an isolated system, but this is based on the external communication of the wizard world.

"The world is so cruel. If we want to go further, reduce the entropy of our world, and maintain an orderly low-entropy state, we must obtain work from the outside world. At the same time, we must use the work from the outside as much as possible to maintain the internal energy. Only in this way can the existence of the world be maintained for a long time."

Ace's words are like a wake-up call, making more wizards devote themselves to the hard work of scavenging in the astral world. Ace brings the two mythical wizards Bayern and Betty back to the Kaya world. There is no room for demigods to develop in the wizarding world , the demigod itself is a super low-entropy body, which is a limit display of order.

In a sense, the more low-entropy bodies a world has and the higher the level of low-entropy bodies, the harder it is to increase the entropy of the world.

But after all, the space for tower wizards is not only the wizard world cluster, the world of Kaya needs the arrival of myth wizards, Ace is already a fifth-level immortal, he can no longer enter the inner world, let the wizard world clusters cultivate myth wizards, and then " "Ascension" to the world of Kaya is the most correct choice at present.

For the world of Kaya, this is also a kind of entropy reduction. At this moment, Ace realized why Dayuan accepted the gift from the giant tree world, because this is entropy reduction.

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