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For a random flight with two steps of length l1 and l2 Rayleigh (1919) gets for the probability to find the end point of the flight in a distance r + dr from the origin (Eqn (56) in Rayleigh, 1919) frac{dP_2}{dr}=frac{r}{2{l}=frac{r}{frac{r}{2{R}^2}.
Competition between crack extension along the adhesive joint and into the substrate is quantified using a quantized crack propagation criterion, whereby the crack does not advance in infinitesimal continuous increments, but instead in finite steps of length comparable to the characteristic dimensions of the material microstructure.
Approximate the circle as a square, and ant motion as random vertical and horizontal steps of length s.
The width of the window was 0.1 (in similarity units) and it was moved in steps of length 0.005 over the ordered test sample population.
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We implement the model (Eqs. 1 and 4) by choosing discrete time-steps of length Δ t = 0.1 min and using the model equations to evolve the position and direction of growth of each virtual pollen tube tip.
We pass a time step of length τ j and the corresponding fraction of the approximation error.
This first step of length normalization allows regions of variable sizes to be equalized and is particularly useful for genebody, CGI, and custom regions.
A new mutant arises at a hazard rate p m v, i.e. at each integration step of length dt with probability.
Envision a "walker" at each time period Δ t deciding to take one step of length δ to the right or left at random.
A random walk consists of a sequence of n steps of unit length on a flat rectangular grid, taken at random either in the x- or the y-direction, with equal probability in each of the four directions.
This progressive increase in spacing could reflect the average behaviour of the nucleosomal population and we cannot exclude that individual chromatin regions change their nucleosome spacing in steps of defined length.
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CEO of Professional Science Editing for Scientists @ prosciediting.com