Chapter two hundred and eighty fifth apprenticeship
Benford's Law, an "interesting" law discovered by Frank Benford...
In many kinds of statistical data, the frequency of the nine numbers "1-9" is not average. "1" has the highest frequency, which can reach 30%, and then decreases successively, with the lowest frequency of "9" being only about 5%.
!
Except for completely random numbers and sequentially arranged data such as numbers, almost all statistical data in the decimal system conform to this rule.
Including birth rate, death rate, physical constants, chemical constants... and of course accounting data!
As for the principle...
Some data types can be explained, and the principles of some data types are temporarily unknown. However, from a purely practical perspective, this is the most basic way to identify whether the data has been artificially modified.
When Zhang Chunhua first saw the "law of one at most" in a book in the library, he felt baffled. How could such a thing happen? It couldn't be written randomly, right?
Later, Zhang Chunhua experimented with his family's accounts and found that the data patterns in some insignificant accounts did conform to this law.
Even... Zhang Chunhua discovered by the way that some accounts that did not conform to this rule often failed to withstand careful inspection!
The Account Department has long started training on the "Income and Expenditure Accounting Method", which is not only more efficient, but also...compared to the accounting method popularized by Bai Tu, the method of making fake accounts has seriously fallen behind, so careful inspection will always find some loopholes.
.
After all, in Bai Tu's view, the previous account books were basically "muddled accounts" and it was easier to make fraud. Counterfeiters who were accustomed to this environment will be crushed by the new accounting and auditing methods for a long time.
pressure.
When he was checking the accounts in Fuyang just now, Zhang Chunhua just flipped through them casually.
However, after taking a quick look at the pattern of "1-9" appearing in the data, I easily found some odd accounts!
Some of them are the most typical fake accounts. Most of the data are inconsistent numbers such as 4,567. From a psychological point of view, human beings will instinctively feel that 4,567 is safer, and other numbers are "too big" or
"Too small".
There are also some, the probability balance of "1-9" appearing...
This shows that people who make false accounts have excellent psychological quality and are completely unaffected by subjective factors and are different from ordinary people. However... unfortunately, they still do not comply with the "law of one and most", so they were also caught out by Zhang Chunhua.
And from the characteristics of the two fake accounts, Zhang Chunhua can easily judge that the ones that are "different from ordinary people" should be written by Jia Xu!
Judging from the types of accounts, this is exactly the case - they are simply accounts related to the loss of military supplies and the registration of trophies.
In comparison, the other pile of accounts is much more shabby, and some of them even prey on ordinary people...
Zhang Chunhua used the income and expenditure accounting method to easily find the imbalance among the income and expenditure, and then put the pile aside.
"These guys are not important now. After the evidence is submitted, people from the Ministry of Personnel and the Ministry of Justice will naturally come to deal with them." Zhang Chunhua said with disgust.
"Well, my lord's six parts are very good." Jia Xu said with his eyes half open and half closed.
"Yes, but these accounts... it seems they can only be submitted to the Privy Council..." Zhang Chunhua said deliberately to the other pile.
"So... what exactly does Zhang Gongcao want to do?" Jia Xu asked in a pretending not to understand tone.
However, what Jia Xu didn't expect was that Zhang Chunhua stood up directly, walked to the opposite side of Jia Xu, bowed to the end and said: "When I entered the official position, I felt that I was arrogant and despicable before... I hope."
Teacher Jia can teach me in the future."
Jia Xu:!!!
Even Jia Xu, who had always looked calm when the mountain collapsed, was shocked when he saw this scene...
Who would have thought that Zhang Chunhua would actually have such an idea?
However, in the next few seconds, Jia Xu thought of more than Zhang Chunhua!
Zhang Chunhua just looked at Jia Xu's resume and felt that this old fox not only has a talent that can be called "terrible", but also has the ability that he dreams of, being able to be like the light...
Compared to the fact that Zhang Chunhua is a woman, Jia Xu, as the mastermind of the Guanzhong disaster and the gravedigger of the Han Dynasty... should be regarded as a heretic more!
However, Jia Xu can minimize his own presence and openly hold important positions in the General's Mansion. Even if some "outsiders" are dissatisfied with him, Jia Xu has Bai Tu's trust and the compliance of his subordinates, so there is no need to care about other people.
, and... Jia Xu can also quietly reduce his "hate value".
Zhang Chunhua feels that if he can learn sixty-seven points of Jia Xu's skills and complement his own abilities, he will be able to dominate the world. Even if the General Mansion goes one step further, he can expect to become the third female princess in the future...
But Jia Xu was thinking about something else.
According to Jia Xu's intelligence, the "female official" was originally related to the "inner house" of the general's palace. So if Zhang Chunhua wanted to become a disciple, could it be that he was recruited to serve as a recruiter for foreign dynasties?
Perhaps for some "thoughtful" people, being able to establish a relationship with the master's harem is a very advantageous thing - after all, there are people in the harem who can be a good help to foreign ministers.
However... this also means taking sides, and it means participating in the battle between relatives in the future, and even the battle for the prince!
For Jia Xu, this was obviously not a good thing, so he frowned and said: "Zhang Gongcao misunderstood. He is an old and old man with chaotic thinking. He only gave advice to the generals in the army because he did not give up.
That’s all, how can I be Zhang Gongcao’s teacher?”
Jia Xu directly rejected this request, which sounded more dangerous than "the discovery of false accounts"!
"Teacher, you think that if I submit these to the Privy Council, I probably won't be severely punished, right?" Zhang Chunhua called the teacher with a smile.
"Of course the lord will make a clear decision." Jia Xu did not respond.
"No, if I go to the Privy Council, I think so too, but... I am a female prostitute. If I am eager to serve, I will make the matter public without authorization, which will cause dissatisfaction among other troops... I think I will just be punished for not doing things well.
Just dismissed.
Of course, with the Lord's temperament, I believe he won't do anything to the teacher. At most, he will be idle. After all, there are still Lu Division, Chen Division and the others without a teacher, but... based on what the teacher has done before, if he is idle
, will it be very troublesome? Some people may not want the teacher to be so peaceful." Zhang Chunhua continued to smile.
Hearing this, Jia Xu opened his eyes slightly and said: "Why is Zhang Gongcao doing this? The Zhang family is also a wealthy family in Hanoi. After they have cultivated a good relationship with the lord between the Qin and Jin Dynasties, even if their background is not good for the time being... in the future, when the lord conquers the mountains and rivers, the north will
The rich family must regard Zhang Gongcao as their most prominent figure, so why do you have to drag an old man like me into trouble?"
Zhang Chunhua was stunned when he heard this, then his face turned red, and his eyes were as they were when he first saw Bai Tu. He raised his eyebrows and said: "Bah! Old man, who did you listen to spread this rumor? And did it reach the front line?"
Jia Xu obviously does not think this is a rumor, even if the person involved refutes it...
Anyway, his true nature has been exposed. Zhang Chunhua immediately looked at Jia Xu and directly threatened: "Old man, do you want to accept my student? Give me a cool word!"