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Two of the integrals were beyond it.
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The calculations employ some results from Huang et al. (2012, J. Hydrol)., who expressed the SDR as a quintuple integral, but by computing four of the integrals analytically, the present solution requires less computational effort.
"Stop-and-frisk" has cut crime, he says briskly: "Scaring the kids to not carry guns is one of the integral parts of it".
"It's now actually one of the integral part s of the system".
Theorem 3.4 The neutrix limit, as ϵ tends to zero of the integral ∫ ϵ 1 t − n − 1 ln r t 1 − t d t, (3.7).
Theorem 3.3 The neutrix limit, as ϵ tends to zero of the integral ∫ ϵ 1 t − 1 ln r t 1 − t d t, (3.5).
Theorem 3.2 Let n, r ∈ N and x ∈ R. Then the neutrix limit, as ϵ tends to zero of the integral ∫ ϵ 1 t x − 1 ln r t 1 − t d t, (3.4).
In the present section, we seek to redefine the polygamma functions ψ ( r ) ( x ) for all x ∈ R and r ∈ N. Lemma 3.1 The neutrix limit, as ϵ tends to zero of the integral ∫ ϵ 1 t α − 1 ln r t d t, (3.2). exists for all values of α ∈ R and r ∈ N and N - lim ϵ → 0 ∫ ϵ 1 t α − 1 ln r t d t = { ( − 1 ) r r !
One of the integral parts of reconciliation is to forgive.
They were the football team that was blessed with two of the most integral parts of any winning franchise: a running back who can sustain drives and a pass rusher who can end them.
Gafni has been long associated with two heavyweights of the Integral movement: Ken Wilber and Sally Kempton.
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