# AchiralSarkar

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bio website achiralsarkar.wordpress.com location India age 20 member for 1 year, 2 months seen Feb 27 at 4:38 profile views 29

I am an 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.

# 20 Actions

 Nov22 comment Choice of the First Term in Legendre Polynomials I have a gut feeling that the constants were chosen in such a way, so that terms were identical to those obtained using the generating function. But I can not find any credible source to back my intuition. Nov22 asked Choice of the First Term in Legendre Polynomials Aug19 awarded Popular Question Jan29 accepted Is the Dirac Delta “Function” really a function? Jan28 accepted Proof of Cauchy–Schwarz inequality Jan28 awarded Supporter Jan28 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. Jan28 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. Jan28 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.) Jan28 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. Jan28 asked Proof of Cauchy–Schwarz inequality Jan24 awarded Student Jan24 asked Is the Dirac Delta “Function” really a function? Jan4 awarded Scholar Jan4 accepted Dirichlet Conditions and Fourier Analysis. Jan4 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! Jan3 answered Checking discontinuity Jan3 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'. Jan3 asked Dirichlet Conditions and Fourier Analysis. Jan2 awarded Autobiographer