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Cumulative summation tests implemented after the learning phase confirmed that performance was maintained.

The circuit for performing the weighted summation is implemented by current mirror circuits as shown in Figure 4a.

In this paper, dynamic aggregation and weighted summation method are implemented for model equivalence calculation.

ChaNGa accelerates this convergence using Ewald summation (Ewald 1921), implemented similarly to Ding et al. (1992) as more fully described in Stadel (2001).

By using such a two-step scheme, we avoid non-local write-access and need non-local read-access only for the second summation step, which is implemented using the GPU's texture cache.

Fava et al. (2012) implemented an annual summation of MODIS 250-m resolution NDVI in an LNS study for evaluating status of Mediterranean rangeland.

Four different schemes to build the SLF from PHAT-weighted GCC values are implemented, specifically: multiplication, Hamacher -norm (generalized multiplication), summation, and a determinant-based combination.

The ENUF method, i.e., Ewald summation based on the non-uniform FFT technique (NFFT), is implemented in dissipative particle dynamics (DPD) simulation scheme to fast and accurately calculate the electrostatic interactions at mesoscopic level.

Weight summation is a reduction-type operation that can be also implemented in parallel on GPGPU by mapping a M×M texture to 1×1 texture.

The Coulomb energy calculations implemented in the supercell program uses the Ewald summation algorithm, which achieves considerably increased accuracy as compared to a simple truncation for long-range potentials with (1/r) asymptotic behavior.

In addition, in order to design a system for real-time performance, we intentionally simplify all the calculations into summation operations or boolean operations so that the algorithm can be directly implemented on ultra high speed VLSI chips without much effort.

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