Showing posts with label David Hilbert. Show all posts
Showing posts with label David Hilbert. Show all posts

Tuesday, July 23, 2019

Who was David Hilbert?

Who was David Hilbert?

Everybody who has read about the "Mathematical millennium problems" is read about the man named David Hilbert (1862-1943). Hilbert was a remarkable mathematician and, sadly, the work of that man, what the great audience knows are those 23 Millenium problems, which are known as Hilbert's problems.

That man created really interesting and fascinating work with researching and fixing the Euclidean theories of geometry, and the errors in Euclidean axioms. Hilbert introduced ten of those problems in Paris  (1, 2, 6, 7, 8, 13, 16, 19, 21, and 22), and the rest of them were introduced in somewhere else.

(https://en.wikipedia.org/wiki/Hilbert%27s_problems) 

 And the thing, what makes this interesting is, what were his merits in the year 1900 when he introduced that series Millenium problem of the mathematics? He was 38 years old at that time, and maybe he had invented something big because he took that famous lecture. So who asked about that lecture?

Those 23 problems are a really good tool for calculating things like geometrical models or prime numbers, for making some suitable solutions for those things needs superfast computers. There are many questions on the list of those problems and the main problem is, who choose those problems for that list?

And why Hilbert introduced them during his famous lecture? Hilbert made very pervasive work during his career with Euclidean mathematical and geometrical problems and fixed the errors in those calculations. And he created the idea of "Hilbert's space". He investigated the errors, what was visible in Euclidean theories and natural solution.

Those errors are minimum, but they are visible. That means that the Euclidean parallel axiom is not valid anymore, and the non-Euclid geometry is not involved sentence" the sum of the angles of the triangle is 180 degrees". 

The term "axiom" is very well explained in Wikipedia (https://en.wikipedia.org/wiki/Axiom) but suddenly I have thought that is it possible that Hilbert made a linguistic mistake during his work, and made mistake with words "axiom" and "axal", what looks like almost same. And if the writer is tired, there would be mistakes with that kind of words.

If the persons own home language is something else than English, those kinds of mistakes are really common, and when we are thinking about Hilbert, could it be possible, that he wrote those texts in English? So if the word "axal" is meant by Hilbert, that would mean that there would be differences with the forms of geometrical structures in nature, that what they suppose to be, when Hilbert calculated them by using sharp and long decimal numbers. But this kind of things are only the theories, about that remarkable geometrician.

https://en.wikipedia.org/wiki/Axiom

Monday, July 22, 2019

The use of a source in writings and comments

The use of a source in writings and comments

When people are using sources in writings, those sources should be that everybody can confirm that data by using the same sources, what the first writer has been used. This is the normal rule in life. If the person uses the discussion or some other thing like a lecture as the source, that person should identify the source sharply.

That thing is that there should mention the date and time and the place, where that lecture has been given, and who was the person, who gave the lecture. Things like a lecture in the year 1900 at some university in Paris are not very sharp data.

Of course, the source would be mention in the form "the lecture, what Dr. David Hilbert gave in the international mathematical conference in Paris in the year 1900". But if the person tells that the lecture was given in Paris in some year is not a very sharp way to give the sources.

Of course, David Hilbert could give many lectures during that meeting, and that's why some tip to lecture, like "lecture where Hilbert introduced the Millenium problems for mathematics" or something like that would be a good tip if somebody would like to check facts and ask the minutes or records of that lecture from the host. This kind of data will be useful information if somebody wants to check, what Hilbert said in those lectures, and that would also contain the data, what other people were taking in that meeting.

Friday, June 28, 2019

Strange notification about Pointcaré formula

Strange notification about Pointcaré formula

Pointcaré's conjecture is a mathematical formula, what is allowing to calculate every form in nature. So if we would input this formula to the CAD-program, it would automatically draw those forms. And that allows creating automatically things like forms of the STEALTH-aircraft. But for making that thing is needed the computer.

The Pointcaré conjecture is in the list of so-called millennium problems of mathematics, and the list is created by David Hilbert in the year 1900. If we would want to benefit things like Pointcaré conjecture, we would need a computer, what has the ability to create those images. and in the year 1900, there was not that kind of computer.

So this is the thing in the Millenium problems. Those problems were useless in the time when Hilbert introduced them in Paris. There was no practical use either the Pointcaré conjecture and Riemann conjecture. The last one is used to calculate the primary numbers for the mathematical cryptologic algorithms, and the problem is is there the zero-points. If there is no zero-point for that formula, the list of the primary numbers continues forever.

But the problem is that in the year 1900 was no need for mathematical cryptology. Until the electronic computers came in the market, the cryptology based the Enigma-machines, what have moved the letters forward or backward as the system is sat, but in 1900 was no Enigma-machines.

The decimal number-based cryptology and secrecy came effective only when the ASCII-code was created. And modern digital computers benefit that thing in everyday life. But there were no digital computers in the year 1900, and this is the thing, what makes those millennium-problems quite interesting thing.

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