In Ukraine, a mathematical formula has been developed that allows us to answer the question «what can we hope for? » after making decision

Monday, January 6, 2025

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In early December last year, it became known that in Ukraine, back in 1986, a mathematical formula was derived by Volodymyr Melnykov that allows us to answer the question «what can we hope for? » after a person or artificial intelligence makes a decision in favor of the $k$ class (k = 1,2,…N):

h_{i}(k)={\frac {p_{i}l_{i,k}}{\sum _{i=1}^{M}p_{i}l_{i,k}}}\cdot

In this case:

h_{i}(k)

– a posteriori probabilities that an object, phenomenon, disease, which have already been assigned to one of the classes $k$ , may in fact belong to objects of classes $i$ (i = 1,2,…M) ,

p_{i}

– a priori probabilities that before making a decision, an object, phenomenon, disease may belong to objects of classes $i$ (i = 1,2,…M),

l_{i,k}

– probabilities of confusion by a person or artificial intelligence of objects, phenomena, diseases of classes $k$ – with objects of classes $i$ (i = 1,2,…M).

How to make America great again and free humanity from wars?

Some people can say about themselves, “I know how,” but they don’t know how to implement this knowledge.

Others may say about themselves, “I know how to implement new knowledge,” but they don’t know how to find people who will do it.

Still others may say, “I know how to find people” who have the talent and resources to bring this idea and other new knowledge to life.

And finally, the fourth category of people is represented by those who can be classified as the first, the second, and the third.

I think that people like Elon Musk belong to this rare fourth category. This is confirmed by all the projects he has already implemented.

Therefore, it is no coincidence that the newly elected US President Donald Trump included Elon Musk in his team in order to fulfill at least some of his promises.

It is always important to help leaders who set great goals for the benefit of all mankind.

Because after making responsible and difficult decisions, it is extremely important to know the answer to the question “What can we hope for and what are the possible consequences of the decisions taken?”

In the textbook «Design of Mathematical Algorithms for the Functioning of Radio-Electronic Means» published by the Military Academy of Air Defense of the Ground Forces named after Marshal of the Soviet Union Alexander Vasilevsky (Kyiv, 1992), one can find mathematically sound answers to the main questions of philosophy set forth in the works of the German philosopher Immanuel Kant from Konigsberg.

The textbook (in two copies) is in the Yaroslav the Wise National Library of Ukraine.

On page 9 of the textbook, there is a mathematical formula (1.2), proven and published in 1986 by me (source 1 on p. 102). Using this formula we can radically change our world for the better.

Formula (1.2) allows one to answer one of the main questions of Immanuel Kant’s philosophy, «What can we hope for?» after the recognition (diagnostics) system has made a decision in favor of an object of the class k, when in fact these could be the object of another classes I (i, k = 1…M).

That’s why, this formula is a hope formula.

By the way, Volodymyr Melnykovs youngest daughter was named Nadezhda ( Hope) too. She was born in 1986, when proved formula (1.2).

For example, using formula (1.2) on page 9 of the textbook, we can justify answers to a number of questions:

1) “What can and should we (customers, manufacturers, doctors) know about specific vaccines and viral tests?”

2) “What are the probabilities that if our test result is positive, this actually indicates other diseases?”

3) “What can we (doctors and patients) hope for when starting treatment for a viral infection or getting vaccinated without properly studying the tests and vaccines, when the previous questions remain unanswered?”

4) “What requirements regarding information about tests and vaccines should be made by representatives from health authorities to their manufacturers?”

5) “What should we (customers) do to check the accuracy of the information received from manufacturers in order to make a decision on the purchase of certain tests and vaccines?” etc.

Perhaps Donald Trump’s team and people, interested in establishing world peace, will take note of this news, using the “formula of hope” to achieve their noble goals.