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Modification of λ i in the last line of the algorithm is performed based on the Active Set method [34].
The topological sorting of the first line of the algorithm can be completed in Θ(|V| + |E|) time, by running a Depth-First Search DFSS) [11].
The first line of the algorithm makes a texture look-up and retrieves the particle pose stored in a four-dimensional vector p o s_p a r t i c l e.
Next we elaborate each line of the algorithm.
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An extension of the proposed method is indeed possible by including additional MR sequences, along the lines of the algorithm presented by Johansson et al. [9].
For example, if m = 6 and the horizontal positive vector value equals to 100,000 in line 9 of the algorithm, the if statement in line 9 evaluates to true and the score is increased by one.
Line 7 of the algorithm calculates the next hop cell and line 8 checks if there is a neighbor in the next cell.
The PeakPosition in line 3 of the algorithm returns the peak position of the received pulse.
Line 8 of the Algorithm 1 calculates the hextant number of the sink's current cell.
This makes the test indicated at line 5 of the algorithm very easy to perform.
Then both nodes will never perform a phase advance due to Line 4 of the algorithm.
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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