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Two algorithms are provided to generate smooth trajectories from discrete path sequences.
For the resulting discrete path segments, a static optimisation problem is formulated to determine the path independently of the considered scenario.
Second, we have not established that the discrete path integral converges to a well-defined functional measure in the continuum limit.
The discrete path activity parameters are in turn estimated conditionally on the delays and the delay rates using a grid-based method [13], which is appropriate to optimally estimate a discrete state space.
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The Freeman chain code is a common and useful way for representing discrete paths by means of words such that each letter encodes a step in a given direction.
The code presented here provides these required capabilities, but has gone beyond the original design and could be used as is or easily adapted for the visualization of other particulate transport where transport occurs on discrete paths.
We define discrete paths of extrema by tracking local extremum values in the approximate solution.
We assume that a propagation channel consists of L discrete paths with different time delays.
The channel coefficients among the nodes are generated by using a tap-delay-line (TDL) model with six discrete paths.
In order to describe the effects of the multipath fading, we have considered the discrete paths model whose channel impulse response (baseband equivalent) can be written as: h ( t, τ ) = ∑ i = 0 P − 1 α ~ i ( t, τ ) δ ( τ − τ i ( t ) ). (5).
Circuit theory is an appealing model because, rather than modeling discrete paths that assume the disperser has prior knowledge of the landscape, it uses random walkers to model an overall resistance to movement.
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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