Chapter Eighty-Two: Mathematical Geniuses and Historical Idiots
Let's start with this:
Cowpox is cowpox, and rubella is rash, and the two are different.
Cowpox, or smallpox, is a virulent viral disease that has no effective treatment for smallpox even in people who are not vaccinated against smallpox.
Rubella, on the other hand, is chickenpox, which is a benign, self-limiting skin infectious disease and a primary infection caused by the herpes zoster virus, and there is a big difference between the two.
Not to mention modern medicine, even Chinese medicine has a dehumidification and detoxification formula: use mulberry leaves, chrysanthemums, burdock seeds, almonds, red peony, banyan root and other treatment methods.
The cowpox mentioned in the article is that the Tang people do not understand the difference between chickenpox and cowpox and confuse the two, not smallpox.
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"Okay, don't read it, the account is fake."
Wu Ning's words can surprise Qin Miaoniang, fake? How did he know?
"Brother Ning...... How did Brother Ning know that it was fake? ”
She had checked this account several times, but the old account room didn't see that it was fake, how could Wu Ning conclude that it was fake just by listening to a few pages of accounts?
"Well..."
Well, Wu Ning really can't tell Qin Miaoniang why it's fake.
Because, his method of checking false accounts is impossible for anyone to understand in this era.
I had to say: "The person who does the accounts is very clever, and the purchase, sales, various payments, and balances can be matched, and it can be said that there is no leakage." ”
Auditing, whether ancient or modern, the most basic method is the same, to put it bluntly: people, money, materials, production, supply and marketing.
It is a store or a company, your sales minus profits, and then minus material and labor costs, as well as real estate, in the end, this account can be flat, there is no difference, that is basically a good account.
In fact, Qin Miaoniang also checked it like this.
However, there are so many things that can be faked.
For example, the procurement of materials.
Taking the Qin family's cloth shop as an example, the upstream price of his supply is uncertain. The same satin, different merchants, different picking times, the price is different.
A little higher and a little lower of these, there are hands and feet to do.
Of course, it is impossible for the owner of precious fabrics such as satin and gauze not to stare at their prices, and it is not easy to counterfeit.
But what about the rest?
A ball of silk thread, a cloth buckle, these various kinds of small consumables, the price is not expensive, there are many purchase channels, there are many types, the main family can not stare at every item.
When auditing the accounts, it is not possible to check all the consumption from the beginning.
To be honest, not only Datang can't do it, but even later generations will find it difficult to trace the source of every small income and expenditure.
But don't look at the amount of these expenditures, but they can't add up to a lot!
So even if Qin Miaoniang suspected that someone had done something wrong with small purchases, she didn't have any way, and she didn't even know that she had no tricks, so she didn't know where to start.
However, Wu Ning really has a trick.
You can write down what you buy for a penny as seven or eight wen, and you can write down the fabric you sold for fifty wen as thirty or forty.
However, there is a difference between this false number you have entered and the natural real number, and a professional audit will know at a glance that it is false.
In Wu Ning's words, in this world, anything, any truth, can be explained by mathematics.
......
Ben. Ford's Law
Benford's Law illustrates a bunch of data derived from real life.
The number with 1 as the first digit has a probability of appearing about 30% of the total, which is close to 3 times the expected value of 1 in 9.
In general, the larger the number, the lower the probability of the number that comes first.
This means that the first digit of a bunch of naturally occurring data can range from 1 to 9, such as 18, 29, 98, 72.
If there is enough of this disordered data, then it is natural to assume that the probability of his first digit appearing from 1 to 9 is of course 1 in 9.
But in fact, no, the probability of 1 is about 30.1%, and the probability of 2 is sharply reduced to 17.6%, and so on, to 9, the probability of occurrence is only 4.6%.
This is an interesting rule that can be used not only to check accounts, but also to all aspects of our lives.
For example, the length of the river, the area of the lake, the population, the constants of physics and chemistry, the per capita income of each city, how many people make an appointment every day, how many people confess, and how many people dismantle their homes......
......
You can do the accounts very flat and seamlessly, or you can make the source of income and expenditure untraceable.
However, what is fake is what is fake, and there is a fundamental difference from naturally occurring raw data.
Wu Ning only needs to count whether the probability of occurrence from 1 to 9 is in line with the laws of nature according to Benford's rule, and no matter how flat your account is, it is useless.
However, I can't tell Qin Miaoniang about this, how can she know what Ben Ford is?
Even if Wu Ning told her, whether Qin Miaoniang believed it or not was another matter.
Therefore, Wu Ning simply didn't explain, but just insisted, "The account is fake, and there is something wrong with your family's accounting room." ”
Qin Miaoniang: "......"
"But Uncle Sun, the Qin family's account room...... I've been working in my family for more than 30 years, so it's unlikely. ”
"Then I didn't run away!" Wu Ning is even more determined.
"It's not a decades-old accounting room, it's impossible to make the accounts so beautiful, so you can't find fault at all."
"Check it up, there's definitely something wrong with him."
Qin Miaoniang heard it, she was really embarrassed, how to check? With just one sentence from Wu Ning, go to check her family's account office?
"Hey!"
Wu Ning sighed, and said in his heart, my stupid girl, you still don't want to do business, I still need to teach you this little thing.
"In the general account room, even if it is fake, the original account must be retained."
That is, there must be two books. One for you to see, one for him to keep, in case you always check it right, to avoid mistakes, or accidents. ”
"So......" shaking Qin Miaoniang's fake account, "you don't have to care about this account, just find out the small account." ”
"But......" Qin Miaoniang still frowned, "Sun Accounts won't give me the real accounts by himself, how can I check?" ”
"Forget it!"
Wu Ning was completely speechless, this girl was already stupid and hopeless.
"Leave it to me!"
......
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Back to the fourth uncle's house, it happened that the fourth uncle was also there today.
Wu Ning thought about it, and told the fourth uncle about the Qin family's account room being fake.
In Wu Ning's opinion, don't bother, change the patrol battalion or the government to come forward, arrest the one surnamed Sun, scare and scare and scare are afraid that you will not come to the real account?
However, when the fourth uncle heard it, he was directly happy.
"Why bother?"
Yes, in the eyes of the fourth uncle, Wu Ning's trick is troublesome.
"Doesn't Jiulang know?"
"Just check the paper shop to see how much paper Qinjia Buzhuang has entered, and it is a pair of account consumption, and it is not necessary to directly manage the account room. If he can't take it, won't it be clear? ”
"Ah...... Yes? ”
Wu Ning didn't understand, "This is what you can find out?" ”
When Wu Changlu heard this, he couldn't help but be happy.
"Jiurou really doesn't know? This accounting paper is not something that can be bought anywhere. In order to prevent fraud, the paper used in the ledger is not ordinary paper, but has a special texture. ”
"This kind of paper is not sold everywhere, and only one government-run paper shop in the city sells it. And there are records of how much you bought, and you can know it when you check it. ”
"And that kind of thing?" Wu Ning was dumbfounded.
Well, he doesn't know anything about history.
"But what if Sun's account office doesn't use account paper?"
"No!" Wu Changlu shook his hand, "This kind of account room has a register in the government office, and the government is also afraid that the merchants will use fake accounts to offset taxes, so other paper shops will not sell to the account office." ”
"If he buys paper, even if it is not account paper, it can only be bought by the government."
"......" Wu Ning felt a little underestimated for the first time.
It turns out that people also have anti-counterfeiting, and they are quite clever.
......
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