Sentence examples for path of integration from inspiring English sources

Because of the analyticity of (zmapsto (z+overline{tilde{A}})^{-1}), we can shift the path of integration without changing the value of the integral in (6.17) to the curve (tilde{Lambda }=Lambda _1cup Lambda _2cup Lambda _3), where (Lambda _1={re^{-i3pi /4}|, 1le r

Equation (5) holds provided that along the path of integration (S_{X_{1},X_{2}}}(x_{1},x_{2})) is absolutely continuous and R(x 1,x 2) exists for almost all x 1 and x 2, see Marshall (1975).

For numerical computation of the integrals, a robust and effective methodology is laid out which gives the necessary account of the presence of singularities including branch points and pole on the path of integration.

It follows from the Mellin inversion theorem [25] that the path of integration that defines ι k (z) is a line extending from −i ∞ to i ∞ just to the right of the imaginary axis, i.e., c>0 in (9).

For the numerical computation of the integrals, a robust and effective methodology which gives the necessary account of the presence of singularities including branch points and poles on the path of integration is laid out.

The path of integration L if one of the following: (i) Left loop beginning at −∞ + λi and ending at −∞ + δi for λ < δ encircling once all the poles −b j −l (for j = 1…,m,l = 0,1,…) leaving the poles 1−a j + l(for j = 1…,n,l = 0,1,…) to the right.

To allay Eurosceptic fears, EU leaders in 2014 drafted a declaration that "ever closer union" allows for different paths of integration …respecting the wish of those who do not want to deepen any further".

The availability of JDMWS should open the path for integration of data mining into business processes frameworks.

He argues that Serbia should continue on the path of European integration only if the EU accepts that Kosovo is part of Serbia.

The speaker, Oleksandr Turchinov, said top priorities included saving the economy and "returning to the path of European integration", according to news agencies.

These results demonstrate a promising path of heterogeneous integration and selective placement of III V devices at arbitrary locations on Si CMOS wafers.