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where Ω is the region of phase space contained with the escape boundary ∂Ω.
This is clearly incorrect since the escape boundary is the unstable limit-cycle.
For the system described above, f always points towards the fixed point, z = 0, within the escape boundary.
However, since each term in the vector field is proportional to a positive power of z, as the escape boundary shrinks towards the fixed point, the maximum magnitude of the vector field within the escape region tends towards zero.
which is asymptotically valid for small α, describes the escape time in terms of the potential difference ψ ^ between the fixed point and the lowest part of the repelling escape boundary which is given by ψ ^ = 1 6 - 1 2 λ + 1 3 λ 3 2. To consider the validity of this approximate analytic result, we compare it with numerical results in Figure 5.
The launch speeds of the species in this study are likely to be among the fastest among any fungi because their coprophilous ecology has demanded much longer ranges than those necessary for the dispersal of species that need only escape boundary layers.
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Moreover, the chimeras escaping boundaries of wild-type specificities belong both to the Chim and the ChiMo series, indicating the absence of any clear correlation between the complexity of shuffling (number of crossovers) and the development of new activities.
There is a constant pressure for such goods to escape the boundaries of property and become common.
Chicago went through many difficult years of increasing racial tensions, as its expanding African American community sought to escape the boundaries of segregated neighbourhoods.
A future in which only the rich and the privileged could ever escape the boundaries of where they were born even for a holiday is not just unappealing - it is dangerous.
In the period before the invention of "Suprematism" (Malevich's term), he preached "Alogism," an attempt to escape the boundaries of common sense; preached "the struggle against Logism, naturalness, philistine sensibilities and prejudices".
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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