The idea of ​​using mathematical calculations to judge returns is not "invented" by Yuwen Wen. In ancient times, some merchants would definitely use arithmetic to calculate costs in order to judge whether a deal is worth doing as much as possible.

However, using interpolation to calculate the rate of return is really "unprecedented", because merchants do not have the need to compile calendars and will not think of using interpolation to calculate the profit, while scholars will only think of using interpolation to calculate the calendar.

This is the practical application problem of mathematics.

Yu Wenwen believes that mathematics is a very important science. If you want to promote the development of various disciplines and social productivity, you must be inseparable from mathematics. All kinds of mechanical manufacturing are also inseparable from mathematics, and business (business) is also inseparable from mathematics.

There have always been demands for mathematics. The question is who will make the demand? If the government makes the demand, naturally some scholars will find a way to solve it. If a businessman with a low social status makes the demand, a well-educated man like Liu Zhuo will definitely refuse it altogether unless he is poor and poor.

Therefore, the practicality of the interpolation method was proposed by Yu Wenwen. Those scholars were asked to use mathematical methods to solve the problem. Of course, appropriate "pension fees" and "instruction fees" are necessary.

The effect is very good, and the interpolation method is indeed practical. It can be foreseen that this mathematical formula will bring rich profits to Nikki, but this is just one of the steps to make mathematical practical.

Yuwen Wen also put forward a new demand, that is, how to expand and maintain the trade route efficiently and at low cost.

For example, the Huangzhou escort business received a order and wanted to escort a batch of goods from Xiyang, pass through Jiangzhou and pass through Dayu Ridge into the ridge, and finally arrive in Fanyu, Guangzhou. So, is it a escort team responsible for escorts throughout the whole process, or is it a escort team along the way that relays and escorts along the way cost-effective?

If the escort business opens a semicolon on this important trade route, how much is the distance between the semicolon and the semicolon according to the business volume? How many appropriate are the teams of each semicolon maintained?

What is the approximate number of escorts in each small escort team?

By the same token, for Huangzhou businessmen, how many semicolons should be set on each major business road?

Local semicolons will do business locally, acquire local specialties, and transport them to other places for sale through caravans to make profits. So, what is the limit of transportation distance between these specialties?

Will the transportation cost far exceed the sales proceeds and lead to losses after being shipped to the sales place?

To expand demand, what is the limit of sales scope of specialties in Ba, Hunan, Gui and Lingbiao?

In other words, in order to ensure that the acquired Lingbiao specialties can still make money when selling in Shannan, Henan and Lianghuai, how should Huangzhou business companies operate the business path?

Such demand is real. If you are experienced businessmen, of course you have a way to figure it out slowly, but if you can solve it using mathematical methods, it will be "much more scientific".

However, if the merchants asked mathematicians to solve the problem for a fee, these noble scholars would not care about the merchants who were full of copper smell. It is conceivable that they basically would not care about their requests, but if the King of Xiyang spoke, it would be different.

Scholars study hard and study hard. Most of them are in order to "learn well and become an official". These scholars basically have no ability to gain family protection and go to the battlefield to fight for military achievements, so they choose to take this path to become an official and realize their life ideals.

This kind of ideal is not necessarily a vulgar "promotion and wealth". For example, Liu Zhuo accepted the emperor's conquest to Chang'an to win the opportunity to make the new calendar he had worked hard to make a formal calendar released by the imperial court, and will be recorded in history forever.

But the opportunity to enter the officialdom is very rare. It is not that any scholar has the opportunity to win the favor of the emperor and the powerful, so he has to recommend it, recruit it to become an official, and even if he finally enters the officialdom, he has no strong backing and is a small official who is not a good person, so he cannot use it in his heart.

So, if you are favored by the King of Xiyang and recommended to the government, wouldn’t it be a good opportunity?

Therefore, helping the King of Xiyang solve some difficult problems is a good way to gain the favor of the King of Xiyang, not to mention that this kind of "question and answer" is still paid. Even if you don't get the chance to enter the officialdom, you will at least have a considerable income. For scholars who gather in Xiyang, why not do it?

There is a strong demand, strong capital is willing to bid, strong academic power can "answer questions", and the "task release column" of Xiyang King, the practical process of mathematics has already been on the right track in Xiyang.

The merchants and workshop owners in Huangzhou sought help from mathematicians through the Xiyang Palace to achieve win-win results.

The content reported by Wang Yue and others today is the interpolation method to calculate the rate of return, and the second is the optimization result of Huangzhou's commercial route from Guangzhou to Ruyin. The second content, if expressed in another way, will have a different meaning.

That is, how to ensure the efficient and low-cost maintenance of the grain roads from Huangzhou to Yingzhou, how to reduce the consumption of grain and grass during transportation, how to spend two cents of money to support the war between the Southeast Road in the Lianghuai River.

This means that mathematicians entered the field of war as a "guidor" attitude, providing strong support for Yuwen Wen's ambitions.

The north and south have had hundreds of years of disputes. Without the intervention of mathematicians, they can still fight and fight well, because the military officers and local officials also have the ability to calculate and ensure logistics supply and maintain food and grass transportation.

Anyway, for the commander and generals of each unit, they only need to make requirements to ensure that the military supplies are in place, and that the military officers and local officials can complete them. If they fail, they will borrow the heads to use them. Therefore, it doesn’t matter whether there is any mathematician intervention.

But Yu Wen Wen's views are different. The power of scientists is not something that people of this era can understand. The "experience mathematics" accumulated by military officials from generation to generation cannot fully compete with real mathematics.

Because he is going to introduce mathematical models, even if he really deduces mathematical models based on the mathematical level of this era, it will be very rough, but it will still be an efficiency multiplier.

For agricultural countries, land expansion has its limits, because as the military's combat scope expands, the cost of food and grass transportation will exceed the limit that national strength can afford, and logistics cannot hold on, and it is useless to have strong troops.

A thousand miles of land transportation was transported by land, and ten hu of food and grass were set off, but only one stone was left when they arrived at the destination. Logistics issues determined the expansion limit of the Central Plains dynasty, unless they learned from the Mongolian army and burned, killed and looted all the way.

How to use mathematics to calculate a reasonable way of transportation of food and grass is the result that Yu Wen Wen wants to get. Now, the result has come out.

Wang Yue took out a thick notebook, which was densely written on it with the derivation process of two "mathematical models". For this process, a total of 100,000 yuan was spent.

After countless debates and derivations, countless scholars finally derived two sets of formulas, namely mathematical models, one for civilian purposes and the other for military purposes.

Civilian refers to how to maintain development and maintain a trade route efficiently and at low cost, and the corresponding costs are borne by the Huangzhou Chamber of Commerce; military refers to the optimization of the transportation of military supplies, and the corresponding costs are borne by the Xiyang Palace.

Civil mathematical models have begun to be put into practical use and have good results; while military mathematical models have now received optimization results.

Another person unfolded a scroll in front of Yuwen Wen. The scroll was longer than one zhang, with a road map and various instructions on it.

The main branch of this road map starts from Xiyang, crosses Dabie Mountains north, passes Guangzhou, Ruyin, Woyang, and all the way to Pengcheng, Xuzhou Prefecture.

There are branches on it, and there are three northern branches (upper branch): one is Guangzhou heading north, passing Xuanhu, Shaoling, Changshe, and Xingyang directly to the south bank of the Yellow River; the other is from Woyang heading north, passing Xiaohuang to the south bank of the Yellow River.

The third is to head north of Pengcheng and go directly to Dongyang, the capital of Qingzhou General Administration.

There are also three southern branch (lower branch), mainly waterways: one, Ruyin passes through Yingshui and goes downstream through Shouchun to Ruyin in Hezhou; the other, Woyang passes downstream through Zhongli to reach the north bank of the Yangtze River.

Third, we go from Xia Pi to Si River through Sikou, Shanyang, Hangou to Guangling.

This road map is densely painted with many nodes, which represent water and land stations, including some docks that have been replaced by the owner, and are all transit stations for military supplies and food.

There are detailed instructions on how much labor, pack horses are equipped with each station, what is the optimal transport distance, and what is the daily delivery volume.

This is the optimal solution for the grain channel nodes, and using a rough mathematical model to calculate the staffing configuration that can minimize transportation costs while ensuring food transportation.

Yuwen Wen took out another scroll from the cabinet behind him. After spreading it out, he was also very long. There were also dense circuit diagrams on it, with many nodes and detailed instructions.

This roadmap is the result of the military officers' efforts. They used the experience passed down from generation to generation and according to the requirements of the King of Xiyang, they drew this roadmap, which embodies the efforts of many people.

Because the King of Xiyang gave them the hope of getting rid of the official's registration and the hope of becoming an official from an official, this roadmap is very credible and can save costs and reduce losses while maintaining the transportation of food and grass.

The two roadmaps are put together, and Yuwen Wen did not compare the positions of each node one by one. Whether the number of people is the same, it directly looks at the "configuration summary". The configuration summary given by the two roadmaps is similar.
Chapter completed!