The text of the Great Eclipse is difficult to understand, but these ten words representing the number are used for convenience. For example, this '0', which is used to represent many large numbers when paired with nine large food characters representing the number, can represent many large numbers, and whenever the number is increased tenfold, you can add a 0 to the number, 1 represents the 'one' or 'single' in the Chinese character, and this 1 is followed by a 0 to represent the multiplier, which is 10, that is, ten, and the addition of a 0 table is ten times that of ten-100, and a 0 represents a thousand. Such as tens of thousands of thousands, thousands of thousands, can also be expressed in these big food words......"

Li Wenge explained with great patience, just like teaching an unenlightened primary school student. And the two older "elementary school students" who don't talk like they are standing next to Li Wenge who is sitting on the ground in a daze, their faces are full of humility, studiousness, and thirst for knowledge. Even Ye Qiyu, who was extremely unkind, completely lost the arrogant face that Li Wenge had when he entered the house, and his small eyes were firmly fixed on the vertical style that Li Wenge wrote on the ground with ink, and he didn't even dare to blink, as if he would miss and lose some priceless treasures if he blinked.

"I see...... But I don't know what the word 'one' in front of this big food number means? The beautiful Mrs. Ye asked softly.

"I think this must represent the 'insufficient' mentioned in the nine chapters," Ye Qiyu, who was standing beside her, replied without hesitation in place ......of Li Wenge. He reacted when the words came out, and hurriedly bowed to the ground towards Li Wenge, and said very panickedly: "Don't blame the guest, it's rude to be under it, if it's wrong, please ask the guest to correct ......."

Li Wenge smiled very happily and said, "Where...... Mr. Ye's understanding is indeed born with wisdom. The word 'one' is not actually a Chinese character, but a symbol used by the big cannibal to mean 'minus' or 'deficiency', which is what Mr. said 'insufficient'! ”

"Then this cross—oh, a symbol that resembles the Chinese character cross—must be the symbol that represents the meaning of 'ying' or 'increasing' in Middle-earth arithmetic?" Ye Qiyu said happily.

"Exactly ——!" Li Wenge nodded, "This symbol is called the 'plus sign', which means the symbolic meaning of 'profit' or 'increase'; this 'one' character is called 'minus' or 'minus'. Therefore, whenever a single number of eclipse is preceded by such a 'one', it represents the meaning of 'how much is lost' or 'how much is insufficient' in the Middle Earth script, and this type of number with a negative sign in front of it is collectively called 'negative number', and those numbers that do not have this symbol in front of it are called 'positive numbers'......"

“…… This diagonally down-down cross is called a 'multiplier'? ”

Ye Qiyu pointed to the multiplication sign in the vertical multiplication and asked.

Talking to someone who specializes in mathematics is more labor-saving, Li Wenge nodded excitedly.

Looking at the meaning of Ye Qiyu, it seems that there is really a meaning of not listing Li Wenge's vertical forms from beginning to end to understand the meaning of not giving up. The young woman knew more about personnel than her own Langjun, and gently pushed him and said, "...... Big brother is still standing outside......"

Ye Qiyu was stunned for a moment and asked, "What big brother?" ”

Immediately, he came to his senses, hurriedly bowed to Li Wenge, didn't say a word, and then ran out in a gust of wind.

Before Li Wenge could react. This guy had already pulled Li Bin like a 100-meter sprint and ran in from outside the house, Li Bin was caught off guard and even gasped, almost unable to say a complete word, but Ye Qiyu's mouth even seemed to be babbling quickly, and he couldn't hear what he meant if he didn't pay attention.

“…… The eldest brother can't help it, the little brother is wolf-hearted, the dog's lungs are ungrateful, it's not that he has offended you, the old man, you don't care about the younger brother, so I will apologize to you, if you are still angry, you will scold the little brother a few words, and the little brother will never dare to have a grudge......"

Before Li Bin could understand what he was talking about, Ye had already quickly knelt on the ground and knocked his head three times

This frightened Li Bin a lot, and hurriedly reached out to help, gasping and saying, "What do you say?" ”

The woman smiled...... While helping her husband up, she said to Li Bin: "Doesn't the eldest brother understand? Your grumpy brother apologized to you, and you used to bow down, can this guilty heart be sincere? ”

Li Bin was still a little confused, so the woman told her about the right talent.

"Huairen's plan is better than the ...... sleep?" The old man's eyes widened suddenly. A look of disbelief.

At the time of his wife's explanation, Ye Qiyu had already run over and continued to twist his eyebrows to study the three vertical poses listed by Li Wenge, and when the young woman finished speaking, she saw that he didn't move, so she couldn't help but kick him hard with her lotus feet.

Only then did Ye Qiyu turn his face, scratch his head and said with a smile: "...... Oh, yes...... Shame, shame! ”

The little boy named Xuan'er pulled Li Bin's shirt and shouted: "Yes, uncle, that uncle is so smart, he knows the words of Dashi, and he can calculate faster than his father-"

Li Wenge had already stood up at this time and smiled at Li Bin awkwardly; Li Bin looked him up and down in disbelief, as if he had only met him for the first time today, and asked with a slight stutter, "...... Bosom...... Huairen knows the art of calculation? Still...... Do you still know how to eat words? ”

Li Wenge blushed and coughed a few times, and replied: "When I was a child, I learned some ...... from a Hu businessman It's just a rough ......"

Li Bin looked at the woman suspiciously, and the woman shook her head categorically and said: "It's definitely not rough - although the guest brought by the eldest brother is young, he is definitely a leader in the study of arithmetic. is the prestigious Wang Wenbo, but I'm afraid that he can't match his grandson...... This gentleman...... Although I don't know how to respect it, but only this number is counted as one, and it has indeed reached the realm of transformation, and the foolish couple is willing to bow down......"

She said. Ye Qiyu shook his head with his back to her, and kept muttering: "It's far away...... Far ...... worse", but I don't know whether to say that he is far behind, Li Wenge is far behind, or Wang Pu is far behind.

Li Bin glanced at Li Wenge with deep meaning, and saw that the former slave of the Li family was fighting a cold war, but he heard Li Bin say: "I haven't introduced it to Qimian and my younger siblings, this person is the captain of Xuanjie, the inspection envoy of Luziguan, who the old man said when he came to the door before." Li Wenge, whose name is Huairen, is now a first-class figure in the Yanzhou and Zhangwu armies, how about it, the old man recommended Qimian and his younger siblings to go out of the mountain to help him, it's not blind, right? ”

This made the young woman's face redden, but Ye Qiyu still didn't hear it

The vertical type of the ground seems to be to see a few taels of gold from it.

Li Bin is familiar with his brother's temperament. At the moment, he introduced: "Huairen and Qimian have been talking for a long time, and they have fought the art of calculation, so they must have become familiar with ......."

Then he stretched out his hand and pointed at the young woman and said: "My younger brother and sister are also extraordinary, Huairen is afraid that she has never known, her ancestors are also from Hebei, but Huairen's hometown, but after the clothes crossed to the south, the family moved to Jiangnan, and in the early Tang Dynasty, they moved into Guanzhong. The old man's younger brother and sister are surnamed Zu Minglin, and the small characters in the boudoir are insignificant. It's a female talent in the Fan Yangzu clan who has obtained the true inheritance......"

The young woman was very embarrassed by Li Bin's praise, and saluted Li Wenge, but Li Wenge didn't see it, staring at Li Bin with two blank eyes, and kept muttering: "...... Fan Yang Zu's ...... Fan Yang Zu's ...... ...... moving to Gangnam? ”

Li Bin smiled and nodded, "Exactly!" ”

“…… Could it be ...... Mrs. Ye is the descendant of the ancestor Wenyuan Duke of Jiazi Yuanli? ”

Li Wenge asked with a look of adoration.

Li Xuanjie smiled...... Wen Yuan is just a concubine, the ancestor of the family, ......," Zu Lin saluted again with a little shame and thanked him.

—

Li Wenge stood stunned for a long time, and suddenly woke up as if from a dream. The long body gave a salute to Zu Lin: "Sure enough, it is the origin of family learning, so that the ancestor is famous in the universe, and he has heard his old man's name since he was a child, it is really like the bright moon shining on all beings, such as the wisdom of the abyss to enlighten the world, the predecessors of the philosopher, the world admires, Mrs. please accept the Cultural Revolution!" ”

Li Wenge's gift can be described as willing. For a bull man who calculated pi to seven decimal places and engraved his name on the moon, Li Wenge's heart only admired and admired, and this feeling was incomprehensible to Confucian scholars and literati of this era such as Li Bin.

This Zu Wenyuan is definitely an idol-level figure worthy of such a great gift from Li Wenge. Wenyuan is the character of this person, and not too many people knew about it in the era of Li Wenge; But when it comes to this person's real name, it is definitely internationally famous.

The big name of this bull on Zu Lin's ancestor is called Zu Chongzhi.

When it comes to the famous pi, whether it is China or foreign countries in later generations, whether it is Chinese or foreigners, they have to mention the name of this person, just on the far side of the moon, there is a crater with a very wide circle, which is named after him.

There are not many mathematicians in Chinese history that can be proud, and Zu Chongzhi is undoubtedly the most dazzling of them.

"How? Sleep, are you willing to go out of the mountain now? ”

After finally greeting and introducing, Li Bin asked Ye Qiyu with a smile.

Ye Qiyu was stunned for a moment, it seemed that he hadn't seriously thought about this problem, his attention had been attracted by the vertical style written by Li Wenge on the ground since he had just finished calculating the multiplication, and his mind was still not very clear. As soon as Li Bin mentioned it, he remembered the purpose of these two people entering the mountain this time, and he couldn't help but hesitate. A look of indecision appeared on his face.

In fact, in the contest just now, Ye Qiyu set up a chip stick on the narrow half table, and it only took less than two minutes of effort to calculate the multiplication result, and the number was the same as Li Wenge's. Using the method of calculation to calculate the number in such a short period of time, its calculation skills are indeed unique in the world. Although the vertical method used by Li Wenge was only the most basic algorithm in the primary school curriculum in the 21st century, it was definitely an advanced scientific method in China in the 10th century. Ye Qiyu is not ashamed to lose this competition, if two people use abacus to calculate, with Li Wenge's half-baked abacus skills, it is impossible to win Ye Qiyu. However, it is definitely an asymmetrical game to defeat the complicated and troublesome calculations with the vertical style that has been advanced for more than a thousand years, but Ye Qiyu is not depressed at all when he loses, but excitedly shows a priceless treasure, at this moment he has long forgotten what the competition and the "little things" such as going out of the mountain to Java. I just want to ask Li Wenge carefully for advice, which is extremely convenient to use, and eats words and wonderful algorithms.

However, at this moment, both he and Zu Lin knew in their hearts that Li Wenge would not easily teach such exquisite arithmetic, if he was unwilling to go out of the mountain to help, why would people teach such a wonderful thing selflessly?

After a long time, Ye Qiyu stammered and replied, "...... That one...... Master Lee...... Oh...... Brother Huairen. The essence of respecting the skill and calculation is really far above its rain, not to mention opening a mountain to teach apprentices, even if it is enough to establish a sect...... If Brother Li does not dislike the ugliness in the next, he can send the schoolchildren he said into the mountains, and promise to teach what he has learned in his life. Never hide your ...... It's not that the rain doesn't sell the face of the respected brother, but the family is used to living in the mountains, and there are many rights and wrongs in the prosperous place...... As long as...... Just ......"

Speaking of this, Ye Qiyu couldn't go down "as long as", with a pitiful pleading look, looking at Li Wenge worriedly, lest this baby would leave in anger. I wouldn't have learned such a subtle algorithm myself.

Li Wenge felt a big headache, his eyes rolled, and he said with a smile: "Brother Qimian's intentions, the Cultural Revolution knows it, everyone has their own ambitions, and I didn't dare to force it." It's just that in terms of arithmetic during the Cultural Revolution, what you learned is really limited, and even if you have some understanding, it is really difficult to draw inferences. The field of arithmetic is wide and covers a large area, which is really no less than the Confucian study of the leader of the Chinese millennium, such as the number of people who study arithmetic today is not too many, but too few. Grandmasters like Brother Qimian are even more scarce. The original intention of the Cultural Revolution was to invite Brother Qimian out of the mountain to learn from each other in the Cultural Revolution, and then teach apprentices a few years later. There are more and more people in the world who study this technique, and under the spread of the style of study, whether it is military affairs or the vitality of the people, they are all beneficial......

At this point, he picked up the stick he had just brought but was useless, dipped it in a little ink, and said while drawing on the ground: "...... The big food numbers and the methods of addition, subtraction, multiplication and division, as well as the square opening, are all just the last skills of the small path, and the Hu skills that the younger brother has learned are far from being the only ones, such as the technique of finding the product——"

As he spoke, he had drawn an arc and a straight line on the ground, and the two lines formed a bow-shaped pattern.

"This arc is split in two ......by a straight line," he said, reaching out and drawing a straight line, dividing the bow evenly.

"There is a point in this straight line, and the line that passes through this point to any point in a straight line other than the bow back is divided equally by the bow back......"

Li Wenge drew the focus and the line.

He clapped his hands, put down the straw stick and straightened his waist, and said with a smile: "Brother Qimian, please see, this is all the known conditions, this is the vertical distance from this line can be measured, assuming that the length of this section is two feet, and the bow can be calculated."

If the inner product of the shape enclosed by the string can be measured quite accurately and small by the Hu method, can Brother Qimian have a method of calculation? ”

Ye Qiyu looked at the figure on the ground with his mouth wide open, his two small eyes blinked violently, muttering to himself, his hands and fists were clenched, and his joints were clenched a little white, showing that his heart was extremely nervous and contradictory, and for a long time, he raised his head and looked at his wife.

Zu Lin's gaze had already been attracted by the figure drawn by Li Wenge, she didn't look up, but gently shook her head and said lightly: "You may be able to try it with circumcision, but this arch back is not round, and the conditions for definition are quite strange, if you want to calculate it generally, you may be able to get rough results, but the difference must be big, if you want to accurately find the product, you can't really ...... it."

Ye Qiyu scratched his head and smiled bitterly at Li Wenge: "Neizi has studied the shape of dots, lines, and surfaces, and she is still above her rain in this technique, she still can't solve it, and in a hurry, she can't think of any good way." ”

Li Wenge smiled, this question is indeed rare and a bit too much for people in this era, not to mention Ye Qiyu and Zu Lin, that is, Zu Chongzhi is alive, Guo Shoujing was born in advance, and it is completely impossible to solve this question in this era.

He bent down, drew a crosshair, marked the arrows respectively, and said: "In the Hu method, the first step is to use two rulers to place vertically, the intersection of the two feet is the center, called the origin, or the zero point, the left side of the origin is a negative number, the right side is a positive number, the shape of these two rulers is called the coordinate system, so that each point on the bow back and the bowstring can be marked with the scale marked on the two rulers, and the scale corresponding to each point on the horizontal ruler is reflected in the Hu method with 'x'. The corresponding scale on the vertical ruler is represented by 'y', which is the script of a certain country in the Western Regions, which is used to replace the number that cannot be determined at any time. Thus, according to the conditions just given, using the Pythagorean method in the nine chapters, it is possible to calculate the distance between each point on the back of the bow and the confirmed point as the opening value of the equation 'x-. The symbol a added here is a linear artificial value. It can be equal to one or it can be equal to zero. It has already been said that the line between any point in the straight line and the point that is already known is divided equally by the hunched back......"

"So the result of these two calculations should be the same—"

Zu Lin's face turned red.

Li Wenge raised his head and smiled extremely happily: "Exactly!" ”

Ye Qiyu also continued: "As long as you randomly give this circle symbol - oh, it's 'eh' - and set a random number, you can easily get a formula with only two unknown exact numbers......"

Li Wenge's mouth was wide open, and his teeth were about to fall off with a smile, and he said yes again and again.

"Although the method of equations in the nine chapters can be finally analyzed and understood after evolution, it is by no means so clear and thorough...... Ye Qiyu said with bloodshot eyes.

Li Wenge threw away the straw stick in his hand. Straightened up and said: "With this 'French formula' called the equation of the equation, the area between the back of the bow and the bowstring can be found......"

With that, he closed his mouth and looked at the couple with a smile.

"And then...... How to calculate the area with this algorithm? ”

Ye Qiyu stared at Li Wenge and asked eagerly.

"Sleep-" Zu Lin's face was flushed, and she snorted at her husband in embarrassment.

Ye Qiyu reacted at this time. It seems that if he refuses to agree to go down the mountain, Li Wenge will not teach the method of accumulation no matter what.

On this show, whether it is Ye Qiyu or Zu Lin, they are already 10,000 convinced in their hearts that Li Wenge does have a way to obtain the precise area of this strange shape composed of curves and straight lines, but both of them also know that there is no reason for such profound and mysterious knowledge to be passed on to outsiders without reason.

"Slim ......"

Ye Qiyu looked at his wife with some confidence, as if he was begging for ideas.

This gaze made Li Bin suddenly sneer. What made Zu Lin, who was afraid of being regarded as Mrs. Fang Xuanling, ashamed, and she said calmly: "Marry a chicken and follow a chicken, the husband is the head of the family, whether to go or stay." The concubine and Xuan'er both obey the wishes of their husbands! ”

Ye Qiyu immediately bowed to the ground as if he had been granted amnesty: "Since Brother Wenge is so worthy of this shallow way, Qiyu is willing to follow Brother Wenge, and try his best to help, as long as Brother Wenge does not abandon Ye's academic ugliness, Ye is willing to do his best to drive for Brother Zun......"

Li Wenge let out a long breath, it is really not easy to dig this talent, and his math foundation in high school has almost been hollowed out.

At this moment, he was full of confidence in cultivating Ye Qiyu and his wife into great mathematicians who were born out of nowhere, anyway, after leaving the mountain, he wanted to let the couple see the ultimate nirvana of mixing bachelor's degree and graduation certificate in the military academy.

Thinking that he was about to use calculus, which would not be born until 700 years later, to bully this pair of outstanding ancient mathematicians, Li Wenge was so addicted to his heart that he gave himself the ultimate evaluation of two words at the same time - shameless!!!!!!!