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Decompose this integral into two parts.

This transformation allows changing the bounds of the integral into zero one limits.

The use of TREE method transforms the PEC model from an integral into a sum of series.

Using the divergence theorem, the method transforms the domain integral into integrals evaluated over the facets of the polyhedra.

They can also represent balancing coefficients transforming the integral into dollars expended over a finite time period of ([t_{0}, t_{f} ]).

They not only generalized the forms with one variable into the ones with two variables but also extended the constant 'c' out of integral into a function 'a(m, n)'.

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The contour of individual beads could be discerned beneath the skin immediately after implantation and the implants turned into integral blocks 28 d after implantation.

The robustness of the guidance system against target maneuvers can be improved by integrating an integral function into the backstepping method.

Radial integration method is employed to convert the domain integrals into boundary integrals.

We now redefine S n, q ( f ; x ) by putting the Riemann-type q-integral into the operators instead of the general q-integral as S ˜ n, q ( f ; x ) = ( [ n + 1 ] q + β ) ∑ k = 0 n q − k p n, k ( q ; x ) ∫ [ k ] q + α [ n + 1 ] q + β [ k + 1 ] q + α [ n + 1 ] q + β f ( t ) d q R t, (6).

Based on Gauss' theorem to convert volume integrals into surface integrals in 3D or area integrals into line integrals in 2D, the increments of element strain can be obtained for each time step.

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