AchiralSarkar

37 reputation

bio	website	achiralsarkar.wordpress.com
	location	India
	age	19
visits	member for	4 months
	seen	Jan 31 at 6:53
stats	profile views	27

I am undergraduate student majoring in Physics.I like to see myself as an autodidact who is also a self-deluding dilettante.

Apart from physics, my interests include mathematics and computer science. I am a computer enthusiast and I enjoy science fiction and computer games. I also dabble in English literature, politics and philosophy.

I am a free thinker and advocate a naturalist world view.

	37 reputation	bio	website	achiralsarkar.wordpress.com	visits	member for	4 months
4 badges		location	India		seen	Jan 31 at 6:53

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Jan 29	accepted	Is the Dirac Delta “Function” really a function?
Jan 28	accepted	Proof of Cauchy–Schwarz inequality
Jan 28	awarded	Supporter
Jan 28	comment	Proof of Cauchy–Schwarz inequality @Andre Nicolas: I understand it now. If you want you could elaborate your first comment and add it to the answer.
Jan 28	comment	Proof of Cauchy–Schwarz inequality @valtron : No, I was talking about the roots of the quadratic equation.....for the unknown x can never be real and distinct, but must be imaginary,unless a and b are proportional.
Jan 28	comment	Proof of Cauchy–Schwarz inequality I am familiar with the proof give in Steele's book. But I am trying to understand this particular proof (i.e., the one form Hilbert and Courant.)
Jan 28	comment	Proof of Cauchy–Schwarz inequality Yes, I know that! I can't figure out why are they avoiding the real roots and from the language that is being employed by the authors, does it not mean that "The roots can not be real unless a and b are proportional" And just before that they have stated a and b must be proportional. Sorry, but I am confused.
Jan 28	asked	Proof of Cauchy–Schwarz inequality
Jan 24	awarded	Student
Jan 24	asked	Is the Dirac Delta “Function” really a function?
Jan 4	awarded	Scholar
Jan 4	accepted	Dirichlet Conditions and Fourier Analysis.
Jan 4	comment	Dirichlet Conditions and Fourier Analysis. I also came across the fact that arcsin x has a convergent Fourier series but does not satisfy the Dirichlet conditions. The conditions are "not necessary" because no one proved a theorem that if the Fourier series of a function f(x) converge pointwise then the function satisfies the Dirichlet conditions. makes sense!
Jan 3	answered	Checking discontinuity
Jan 3	comment	Dirichlet Conditions and Fourier Analysis. Yes, that is why we can not express it in terms of Fourier series. It has an infinite discontinuity at pi/2 and hence can not be expanded in the interval -pi to pi. The question is why are the Dirichlet conditions deemed 'NOT NECESSARY'.
Jan 3	asked	Dirichlet Conditions and Fourier Analysis.
Jan 2	awarded	Autobiographer