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After 24 h, formaldehyde (1%, Fisher Scientific Co., Pittsburgh, PA) was added to crosslink the His-tagged Hha or YbaJ proteins and the DNA to which it was bound (present also were proteins like H-NS that may interact with Hha in vivo).
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The upper bound for mesh networks also shows that the lower bound presented in this paper for the all-to-all problem in planar networks is asymptotically tight.
By comparison, the bound presented in this work is asymptotically tighter in this case.
The proposed lower bound presents a reliable estimation of the number of R-operations needed to implement the multiplier block.
The lower confidence bound presents a measure on the minimum capability of the process based on the sample data.
The lower bound presented in (24) is much simpler than the one presented in (22), since it does not require the computation of the Appell hypergeometric function.
For severe channel conditions (i.e., Figures 4a and 5a), the Chernoff bound presents the worst performance considering the SER approximation.
The tight lower bound presented here is a valid lower bound if the point-to-point codes are first decoded, followed by the network code, without iterating back to the point-to-point codes.
Obviously there are many other possibilities for f j other than the approximate upper bound and the lower bound presented here, e.g., a combination of the two could be used.
This bound presents a tighter performance at lower optical SNR if compared with previously reported bounds and shows the fact that the input distribution that maximizes the mutual information varies with the turbulence strength and the SNR.
To assess the performance of the network code only, given a certain point-to-point code, the WER of the SMARC-JNCC should be compared with the tight lower bound presented here.
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Justyna Jupowicz-Kozak
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