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Dec
11
revised Integral $\int_{0}^\infty\frac {(1-{{e}^{-i (q-p)t}})ln(|p^2-p_0^2|)}{(q-p)({{ p}}^{2}-{{p_1}}^{2})({{p}}^{2}-{{p_2} }^{2})}dp$
since the contribution by the imaginary part of the logarithm is solvable, I changed the logarithm's argument to its absolute value.
Dec
10
revised Integral $\int_{0}^\infty\frac {(1-{{e}^{-i (q-p)t}})ln(|p^2-p_0^2|)}{(q-p)({{ p}}^{2}-{{p_1}}^{2})({{p}}^{2}-{{p_2} }^{2})}dp$
comment added
Dec
10
revised Integral $\int_{0}^\infty\frac {(1-{{e}^{-i (q-p)t}})ln(|p^2-p_0^2|)}{(q-p)({{ p}}^{2}-{{p_1}}^{2})({{p}}^{2}-{{p_2} }^{2})}dp$
added 83 characters in body
Dec
10
revised Integral $\int_{0}^\infty\frac {(1-{{e}^{-i (q-p)t}})ln(|p^2-p_0^2|)}{(q-p)({{ p}}^{2}-{{p_1}}^{2})({{p}}^{2}-{{p_2} }^{2})}dp$
deleted 26 characters in body
Dec
10
asked Integral $\int_{0}^\infty\frac {(1-{{e}^{-i (q-p)t}})ln(|p^2-p_0^2|)}{(q-p)({{ p}}^{2}-{{p_1}}^{2})({{p}}^{2}-{{p_2} }^{2})}dp$
Dec
10
awarded  Tumbleweed
Dec
3
revised Application of residue theorem to the computation of semi-infinite integrals
deleted 6 characters in body
Dec
3
asked Application of residue theorem to the computation of semi-infinite integrals
Apr
1
comment Align basis of vector space with that of subspace
I need a basis of $V$ which contains the given basis of $S$ as subset. Alternatively the basis of $S$ may be transformed into a new basis of $S$ (possibly orthogonal). In this case I need a basis of $V$ which contains the transformed basis of $S$ as subset.
Apr
1
comment Align basis of vector space with that of subspace
Yes, agreed, it does not meet my question, but in fact an orthogonal basis could have advantages for my application. But, would the the non-zero orthogonal vectors be indeed linearly independent of ${s_i}$, the basis of $S$. In principle I am flexible also to change the basis of S to one which is orthogonal.
Apr
1
comment Align basis of vector space with that of subspace
Now I see your point. Seemingly my linear algebra is a bit rusty.
Mar
31
comment Align basis of vector space with that of subspace
Thanks for the fast reply. I think I was not clear enough. $w_i$ were supposed to be elements of the basis of $V$ (those $v_i$ which are not linearly dependent on $s_i$; i.e. $w_i$ are already linearly independent). Our approaches should therefore be equivalent, or not?
Mar
31
revised Align basis of vector space with that of subspace
corrected grammar
Mar
31
asked Align basis of vector space with that of subspace
Nov
16
revised Approximation of integral using series expansion of the integrand.
typeset equation
Nov
15
awarded  Editor
Nov
15
revised Approximation of integral using series expansion of the integrand.
added 31 characters in body
Nov
15
awarded  Student
Nov
15
asked Approximation of integral using series expansion of the integrand.