Showing posts with label mathematics. Show all posts
Showing posts with label mathematics. Show all posts

Saturday, October 16, 2021

Are the complex numbers real?


"An illustration of the complex number z = x + iy on the complex plane. The real part is x, and its imaginary part is y". (https://en.wikipedia.org/wiki/Imaginary_unit)


Are the complex numbers real?


One of the least known irrational numbers is imaginary or complex numbers. Some mathematicians are said that complex numbers are only the form of imagination. The reason for that is the complex numbers are hard to position on the number straight. 

The imaginary unit means that the number has at least two positions in the number straight. So we can think that complex numbers are the numerical and virtual introduction of the superposition. 

Imaginary numbers or complex numbers are the numbers where is the imaginary unit. When the normal number is z, the form of the complex number is z=x+yi. And the Yi is the imaginary unit. The number of imaginary units is unlimited. 

And that means that the complex numbers have two or more places in the number straight. That means the imaginary or complex numbers are the mathematical version of the superposition. So are imaginary numbers real numbers or not? The fact is that in regular calculations, we don't need those numbers.

The form of the imaginary is introduced in the forms z=x+yi or a+bi. And they are both right. The thing is that complex or imaginary numbers are irrational or virtual numerical introductions or models. And those models can use for calculating the superpositions. 

So in the physical world, the imaginary numbers are not real. Or am I somehow wrong? Even if regular people don't need complex numbers anything they can use in quantum physics for calculating the superpositions. Imaginary or complex numbers can use for calculating the positions of the qubits in quantum computers. The superposition of the qubit can calculate "very easily" by using complex numbers. 

Complex numbers are the thing that are and are not at the same time. They are important things in a very small sector of mathematics or technology. But in regular calculations and things like engineering, there is no need for those numbers. Except in one place. The superposition of the qubit is easy to calculate by using those numbers. 

In that calculation, "x" is the line of the qubit. And Yi is the number of layers of the qubit that the uses. When we are thinking about programming quantum computers. 

Complex numbers might play a primary role in complicated calculations. Those are needed for making the quantum computer operational. This thing is one example of how the area of mathematics might be otherwise useless. Can use effectively in one precise point. And that point is the most fundamental and powerful calculator in the world. 


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


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


https://thoughtandmachines.blogspot.com/

Friday, July 19, 2019

The meaningless thing might have meaning





The meaningless thing might have meaning

The first in this text is taken in the old city in Tallinn, Estonia, and as you see, there seems to be something wrong, and the reason why I took this picture, is that the wooden house is in the very bad condition. So why the city authorities would not order to fix that house is interesting. The thing is that this kind of places is really expensive places to live, and why somebody would leave the house in that condition.

The other houses seem very good repaired and kept, and the thing is, why this house has gone in so bad condition? I think that the taxes should pay anyway, even if the house is not in use, but maybe there is some reason, why the owner doesn't care about that house, what locates in the historical city area.



The Gauss curve in the houses

The second image is portraying the Western Harbor of Helsinki, and the nice detail of this house or passenger terminal is the Gauss curve on the roof. This form is the same what the calculations of the averages would give in mathematics. The mean would give that form, and sometimes I have thought, why the form of the average curve is in this house?

Of course, the  Gauss curve is the beautiful form, and the thing is that the politicians need that curve, when they are calculating so-called average person. And the second thing, what the Gauss curve tells for the specialists is some test too easy or too difficult. In the normal scenario is that the test results would follow the graph of the average values, which means that if the real results are different from the Gauss curve, that thing means the test was too difficult or too easy.

If the number of failed is rising, the test would be too easy. And if the number of excellent results would be raised, the test was too easy. But when we are thinking the averages, we must realize, that we should compare the results of all places, where the test has been made, and if there is only one anomaly, that would mean that there is something different in the group, or somebody has been given the answers to a certain group. The last one would be very clear, but the investigator should think, why those results have been given to a certain group?

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.

Friday, May 3, 2019

How would you solve this mathematical problem?


How would you solve this mathematical problem?

https://kimmonesittely.blogspot.com/p/145-how-would-you-solve-this.html

https://fi.newsner.com/uutiset/osaatko-ratkaista-taman-tehtavan-oikeita-vastauksia-on-kaksi-mutta-melkein-kukaan-ei-saa-sita-oikein/


Here is one mathematical formula, or the problem what solution is based on the thing, that the maker of this test must find the formula. This problem is taken from the "Newsners" home page, and it is published on Facebook.

As you see there might be two or three solutions, depending on what system the solution maker want to use. The examination is on the page, what is linked below this text, and simplest way is just plus the numbers if the last line, and the answer would be 19, but that would not follow the formula, what is in the problem.

1+4=5
2+5=12
3+6=21
8+11=x

There might be an answer that the last number of the problem would be multiplicate the last number with the line order number, and that thing can demonstrate by using the plus mark. That means that the solution for this mathematical problem would get by using the next formula.

1+4=5
2+5+5=12
3+6+6+6=21
8+11+11+11=41

The source homepage answer you might read from the next link, and that is also the source of this problem. As you might see, there could be many ways to solve mathematical problems. The answer is taken that the last number of each line would plus to the next line. And you might see that would also give the correct answer for that formula.

https://fi.newsner.com/uutiset/osaatko-ratkaista-taman-tehtavan-oikeita-vastauksia-on-kaksi-mutta-melkein-kukaan-ei-saa-sita-oikein/

1+4=5
5+2+5=12
12+3+6=21
21+8+11=40

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