169 reputation
17
bio website
location India
age 21
visits member for 1 year, 9 months
seen Oct 22 at 7:00

A Physics Undegrad; Also interested in Mathematics, Computer Science & Applications and English Literature.

Previous user name: AchiralSarkar


Sep
2
awarded  Popular Question
Jul
21
awarded  Notable Question
May
22
accepted Choice of the First Term in Legendre Polynomials
Apr
14
awarded  Popular Question
Nov
22
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.
Nov
22
asked Choice of the First Term in Legendre Polynomials
Aug
19
awarded  Popular Question
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!