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It promises to lead us down the path of maximum fulfillment.
To resolve this paradox, my guiding principle for productivity applies: Mold your life so that the path of least resistance is the path of maximum productivity".
The Maximum Asymmetric Travelling Salesman Problem (Max-ATSP), which asks for a Hamiltonian path of maximum weight covering a digraph, and the Maximum Compression(Max-Comp), which, for a finite language P≔{s1,…,sp}, asks for w, a superstring of P minimising ∑si∈S|si|−|w|, are both difficult to approximate (Max-SNP hard).
This arrangement may generate paths of similar amplitudes and thus degrade the estimation of the TOA of the path of maximum amplitude.
In fact, the estimation of the TOA of the path of maximum amplitude was degraded by interference and by emitter placement.
We present an acoustic location system that adopts the time of arrival of the path of maximum amplitude as a signature and estimates the target position through nonparametric kernel regression.
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Previous studies addressed methods to calculate the winding paths of maximum strength by adjusting the mandrel shapes.
A path is said to be free from wormhole links if and only if for each sub-path of length 2R there exists an alternate sub-path of maximum length 4R, where R is the transmission range of a node.
Based on the above observations, if one can obtain a necessary condition that there exists a sub-path of maximum length 4R with probability ( 1 - e - ρπ ( ( R 4 ) 2 ) ) t, which is computed to be high, is sufficient to identify a wormhole-free path.
Lemma 1. Lemma 1 A path is said to be free from wormhole links if the following condition is satisfied: 'for each sub-path of length 2R, there exists an alternate sub-path of maximum length 4R with a probability of ( 1 - e - ρ ( π ( R 4 ) 2 ) ) t where "t" is the number of disks on a selected path.'.
Although the correlation between global gene expression and protein abundance is unclear, by identifying paths of maximum correlated gene expression we are focusing only on regions within the metabolic network where the expression signal is strong and are, therefore, more likely to possess a specific biological function.
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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