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Sanchari posted an Question
January 04, 2020 • 01:19 am 15 points
  • CSIR NET
  • Physical Sciences

Problem with a concept

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  • Sanchari Pal

    sir one more request, can u please explain me the concept of "Completeness of vector space" I have posted this question but didn't got the proper answer.. so I am asking your help

  • Sanchari Pal

    And sir one more thing to clear.. when the pole does not lie on real axis then to convert integration [-inf, inf] to [0,inf] we use "even odd" concept as the whole [-Real,Real] part becomes equal to 2*pi*i (sum of residues).. Please tell me sir whether I am right or not?

    eduncle-logo-app

    yes right... actually you need not to think of even odd concept. while taking the limits r->0 and R->inf upon the specified contour, u'll arrive at the required result

  • Sanchari Pal

    thanks a lot sir. now I understand the concept. but as you can realise solving with this lengthy is really something of headache in Exam hall with in that much limited time. So does this type of problems which belong to the "indented semi circular contour integration" have some short cut method??

    eduncle-logo-app

    As far as I know there is no short tricky method to solve such complex contour integrals. But some real integrals can be solved using Laplace and Fourier transforms......you can reduce your time of solving by practicing a lot at home.

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