Скачать или смотреть The Sum Operator in Modelica: A Gentle Introduction to Euler's Solution to the Basel Problem.

Welcome to the Resairchia channel.
In this video you are introduced to the basic usage of the Sum operator in Modelica:
-You will learn how to use the Sum operator.
-You will learn how to use it to compute summations.

Besides the use of "Sum" in your code, Euler's solution to the Basel problem in shown in the video. This exact solution became one of the most important results in number theory. Euler also gave the exact values for the even positive integers bigger than 1 of what became later the Euler-Riemann Zeta function.
The mathematics behind it are difficult and not covered here, but the following links to my favourite videos related to Euler´s solution ellaborate on the topic in a very clear and interesting way:
1) Mathologer's channel (personal favourite! You may recognize the music :P):    • Euler's real identity NOT e to the i pi = -1  
2) 3Blue1Brown channel shows a geometric answer to the problem in an amazing visual way:    • Why is pi here?  And why is it squared?  A...  
3) BriTheMathGuy channel gives Euler´s proof in a very clear and fun way in less than 4 minutes what took almost 100 years to solve!    • If I did this in 1734 I'd be World Famous  
4) Blackpenredpen obtains Euler´s result in the complex worl. Very good channel and video:    • a spectacular solution to 1+1/2^2+1/3^2+.....  

I have nothing to do with these channels, I just enjoy them and find their content of very good quality. :)

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