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For nonzero impulse functions J i, i = 1, …, p, this solution is discontinuous on [ a, b ] and, since discontinuity points τ i, i = 1, …, p, are not fixed and depend on the solution through (2), such a solution has to be searched in the space G L ( [ a, b ] ; R n ) ; see the notation below.
The solutions obtained may be discontinuous on ([0,1]).
Foam in porous media is discontinuous on a length scale that overlaps with pore dimensions.
It is easy to see that nonexpansive mappings are Lipschitz continuous; however, the quasi-nonexpansive mapping is discontinuous on its domain generally.
In addition, (g(x)) is discontinuous on the point (x=lnfrac{c}{beta}), which causes it to be difficult to prove that (partial _{x} ugeq0).
However, the derivative of the Gaussian is discontinuous on the finite domain, since the smooth function has been truncated.
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The pellet, which appeared loose and fluffy, was obtained by a plastic transfer pipet and carefully layered on top of a discontinuous 23% on 40% Percoll gradient, followed by centrifugation at 30,700 g for 5 min at 4 °C.
The effect of flow on DOmin and ΔDO was discontinuous, depending on the flow magnitude.
Our results suggest that modifying these process conditions can have a strong and nearly discontinuous effect on coating microstructure, and therefore on drug release.
It has white on the wings and a discontinuous stripe on the nape.
For the strains share identical discontinuous peptides on B-cell epitope, the discontinuous peptides on surrounding area have dominant patterns: the top 5 patterns cover as much as 50% of the strains.
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