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Therefore, we can construct nonmonotone solutions by reflecting and periodically extending the monotone ones at the end points.
Wiki can also facilitate collective and constant review and the possibility of periodically extending the content and activities, essential in a learning process (Lipponen, 2002).
Then we can construct infinitely many nonmonotone-solutions of (1.1) by reflecting and periodically extending (v(x)) and (v L-x)) at (x=0,pm L, pm2L,dots).
Thanks to the Neumann boundary conditions, we can construct single- and multi-interior spikes for (4.1) by reflecting and periodically extending the single boundary spike at the end points.
Similar(56)
These units are operating for the last 30 years with impressive operation performance indicators and in this period their operating license was periodically extended by the Atomic Energy Regulatory Board.
This structure is periodically extended over about 50 mm.
This simulated structure is periodically extended along the x and y axes.
Defining the analyzed signal as S = [s 1, s 2, … s N − 1] T,S should be periodically extended until N = ⌈N/r⌉ × r if N mod r ≠ 0.
The target graphene surface described in the 'Background' is situated in the z = 0 plane and periodically extended in the xy coordinate plane.
The periodicity of the system was taken into account by applying Floquet boundary conditions on the lateral sides of the unit cell, perpendicular to the plane of incidence; subsequently, results have been periodically extended to visualize the diatom array (Additional file 4).
As an example consider the case (H theta) = theta(pi-theta )(theta -2 pi)) for (thetain[0,2pi)) and (epsilon>0) (where H is periodically extended outside ([0,2pi))). It is straightforward to calculate the Fourier coefficients (34) as (H_{n}=6i/n^{3}), so that (-p epsilon operatorname {Im}H_{p} = - 6 epsilon/p^{2} < 0) (forall p neq0). Hence the asynchronous state is stable.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com