Monday, June 17, 2019

Fourier Series








6 comments:

Anonymous said...

2/P may be due to animal walks on four legs and man on two legs.
a(0) is not very clear. USA is great here. And their mathematical model confirms this fact. I think sin and cos are equal at a(0). So integration of s(x) is sufficient.

Fourier transform is time based. Hence integration. Circumflex concept is there by Fourier. In India education is guided by USA agencies and their VISA mechanism. Let us salute the genius of Fourier first of all. Why they eliminate candidates is a question to be considered later.

Kirtivasan Ganesan said...

Anonymous.
Consider this fact.
A south Indian that too a brahmin and a Hindu will only be eliminated by a Muslim institute of North India.
Luckily there was money. And education was obtained.
So, Anonymous, be clear.
Kirtivasan Ganesan

Kirtivasan Ganesan said...

Anonymous, be clear on one more thing.
JPEG (picture) and MP3 (sound) formats use Fourier Transforms.
Anonymous, never argue with seniors.
Kirtivasan Ganesan

Kirtivasan Ganesan said...

Euler totient function is a big genius from Leonhard Euler.
With Euler totient function expressions of golden ratio and euler mascheroni constant are also obtained.
It is interesting to know that P Kesava Menon has an important expression with Euler totient function.

Kirtivasan Ganesan said...

Leonhard Euler could come up with a great amount of points to ponder with Euler totient function.
He probably could demonstrate pi, products of primes formulae and more with his totient function. Euler thought of the symbol pi for totient function. Gauss then changed it to phi. And it was Sylvester who coined the term totient function.
Totient function study is important for me. There are some thoughts of mine resembling this. Also I have # expressions. Let me deal with food, water and hunger first.

Kirtivasan Ganesan said...

Food, water and hunger are for zero lazy people.
Food, water, hunger and energy are for up and working people.
This finishes my duties as a citizen.
Kindly help me, now.