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They also applied the neutrix calculus to quantum field theory and obtained finite renormalization in the loop calculations, see [2] and [3].
It was designed to provide efficient handling of multivariate polynomials, algebras and special functions that are needed for loop calculations in theoretical quantum field theory.
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A cooling recycle stream, containing reaction products and a fresh feed, was included via a closed loop calculation.
After presenting the model used, we will detail how to implement the new macroscopic element in the explicit time loop calculation.
We explore the method for two- and three-loop calculations in QED.
Full one-loop calculations were done e.g. in [6,10 18].
We extend a recent three-loop calculation of nuclear matter by including the effects from two-pion exchange with single and double virtual Δ(1232 -isobar 1232 -isobar
(1) Iterative step: Given a current vector (y^{k}), pick an (N_{k} in {1, 2, ldots, N}) and start an inner loop of calculations as follows: (1.1) Inner loop initialization: Define (y^{k,0} = y^{k}).
Iterative step: Given a current vector (y^{k}), pick an (N_{k} in {1, 2, ldots, N}) and start an inner loop of calculations as follows: (1.1) Inner loop initialization: Define (y^{k,0} = y^{k}).
*Incomplete N-terminal sequence data were excluded from N-terminal loop length calculations.
The quantitative results stem from marking an area, a region of interest, (ROI) within the tissue in the initial frame of the loop; therefore, calculations are limited according to the ROI.
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