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There, the authors obtained the conditions for which no trajectory can reach the origin following any fixed direction or spirally.
If we denote the solution of (2.1) as (X(t;x_{0})), then Pbigl{ exists t>0, X(t;x_{0})=0bigr} =0, quad forall x_{0}neq0, which means that almost all the sample paths of the solution of (2.1) starting from a nonzero state will never reach the origin.
If the walk does not reach the origin before the end of the chromosome, the last probe in the chromosome is defined as D ori.
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Having reached the origin the plane stops moving and remains fixed.
The simulation is stopped when the congestion reaches the origin as after this point the algorithm is not affecting the vehicular flow.
which oscillates with frequency 1 between the endpoints ( v ¯ 250, w ¯ 250 ) ( A 250 = A in ) and ( v ¯ 750, w ¯ 750 ) ( A 750 = − A in ), reaching the origin three times within a cycle at t = 0, t = 500, and t = 1000.
A nylon filament (diameter 0.26 mm) was inserted into the internal carotid artery via an incision in the common carotid artery and advanced until the rounded tip reached the origin to the left middle cerebral artery.
The slow-moving forks took longer to reach the 11 origins that were passively replicated at the normal fork rate.
If the wine list demonstrates a truly global reach, the origins of the ingredients are positively parochial; vegetables come in from Lower Oddington, Burford Brown eggs from Great Barrington, and bread from pastries from Shipton-under-Wychwood, all within 10 miles, to name but a few.
New Zealand's Building Code has recently been amended and has introduced a new clause specific to fire-fighting operations that requires, amongst other things, that buildings must be designed and constructed to allow fire-fighters to reach the floor of fire origin and search the general area.
The simplest of these are based on the time taken to reach the nearest destination from an origin 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