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if the image space circle is smaller in this direction than the object space circle, it means that if a feature in the scene moves axially (towards or away from the lens) by a given distance, the sensor doesn't need to move as far to keep that feature in focus.
To determine which model would be more appropriate we plotted the normalized flux between two locations separated by a given distance in Figure 4C.
Using this figure we can find out which is the minimum vehicular density required to achieve a minimum multi-hop connectivity probability between two nodes separated by a given distance.
Where x i is the current cell value, x j is the value of the cell separated by a given distance, x(bar) is the mean, and W is the number of cells surrounding the current one and found within the given distance.
Another operation that we will use involves rotating (with wrapping (i.e., cyclic shift) or without) the elements of a vector by a given distance, δ, such that if the input is a and the output is b, after the rotation, we have b(mod (i+δ,N))=a(i) where mod x,y) is x modulus y.
The time cross-correlation between points along lines separated by a given distance determines the average time necessary for a molecule to traverse that distance.
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Figure 7 Probability of being forwarded by at least a given distance after an initial wait (ccdf).
Figure 6 Probability of being forwarded by at least a given distance from the source with no initial wait (ccdf).
Figure 3 Probability of being forwarded by at least a given distance from the source with no initial wait (ccdf), for four node density values.
In the equation, parameters d4 and d5 are density dependent, and selected to achieve an optimal fit. Figure 4 Probability of being forwarded by at least a given distance from the source after a wait (ccdf), for four node density values.
Sorted population of worms can be recovered after the trial by selecting worms at a given distance from the original starting point.
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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