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For intermediate values of f there is a transition in the shapes of the limit cycle trajectories between these two limit cases.
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The third parameter interpolates between these two limiting cases.
Our relation to a work of art is always somewhere between these two limits," Schaeffer says.
Coloured lines show separations in 5° steps between these two limits.
The actual performance of a reactor will lie between these two limiting-case conditions.
Between these two limits there is a critical crack propagation speed where viscous dissipation is maximized.
As the physical truth should be between these two limiting cases, a model which assumes a patchwise surface constituted of three patches is proposed.
The susceptibility of other shapes to oscillatory destabilization should lie between these two limiting dynamic characteristics corresponding to the sphere and infinite slab.
Our results include the solutions for homogeneous materials and Gibson solids as special cases and describe the complete transition between these two limiting situations.
The error defined as the time lag between these two limits never exceeded 10 ms, which is the maximum time for soot to form in the flame after actual ignition.
An intermittency index, which would be zero for perfect core annulus flow and one for perfect cluster flow, is used to characterize the flow; it shows that the behaviour is always between these two limits but tending towards the former with increasing height up the column.
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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