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This approximation would place particle i at x0i + v0i(T) at t = T.
This would make the velocity of particle i equal to v0 + a0i(T/2), where a0i is equal to the force on particle i at t = 0 divided by particle i's mass.
Suppose that one wished to calculate, for each particle i in a certain subsystem of the universe, the position of that particle at some future time t = T.
Finally, the position of particle i at t = T could be calculated by supposing that i maintains the new velocity throughout the interval between t = T/2 and t = T.
■ For each particle i = 1,…,N.
The particles are manipulated according to the following equations: velocity i = χ velocity i + c 1 ω 1 Pparticle i − particle i + c 2 ω 2 Gparticle − particle i (40) particle i + 1 = particle i + velocity i (41).
where x i is the position of particle i.
Particle i means the aggregate created from i elementary nanoparticles.
where v i (t) is the old velocity of particle i at time t.
V i (t) is called the velocity of particle i in iteration t.
The velocity of particle i is represented as Vi = (vi1, vi2… viD).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com