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Proof By writing the right-hand side of Eq. (2.1) in the original summation and applying (2.7) to the resulting summation, after a little simplification, we find that, when the last resulting summation is expressed in terms of F q p in (1.5), this completes the proof of Corollary 1.
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Introduction of ultrathin intermediate layer of a third conductive dye, vanadyl naphthalocyanine (NcVO), at the Al/PcVO interface makes possible a serial connection of subcells, resulting in summation of open circuit voltages.
One possible explanation for the differing responses in these two regions, and in different imaging studies, is the organization of V1 input onto V5/MT+ neurons, which may result in summation of coherent, and suppression of non-coherent motion signals.
These results suggest that in CA1 PNs, somatic depolarization resulting from temporal summation of PP-evoked EPSPs, rather than dendritic spikes, drives AP output.
Consequently, the random scattering approximation allows the calculation of an effective wavefront with an amplitude and phase resulting from the summation over many random scattering events.
Each of the 14 items is rated on a scale from 0 to 3, resulting in a summation score between 0 and 42 [ 49].
The score points for the three efficacies and the three safety parameters were then summarized for each INS resulting in individual summation scores of 'sum efficacy' (ES) and 'sum side effects' (AES), which could range between a minimum of 0 and maximum of 9 points.
The slowly convergent series resulting from the direct summation of the doubly-periodic array of Stokeslets is recast into the sum of two series, one in real space and one in Fourier space, both having partial sums decaying in a Gaussian manner.
Individual results in summation match the hybrid device results for the same input, indicating no loss of efficiency in the hybrid device load transfer.
Therefore, the higher value that would result from the summation of more terms in Complete mode is unlikely to be the reason this mode produced better results.
This evidence indicates that the evolution of the investigated area since the Middle Pleistocene resulted from the summation of deformative episodes similar to that which occurred during the recent seismic sequence.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com