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Choose and a standard cut off function with on, which satisfies.
Let (varphi (x in C_{0}^{infty }(R^{N})) be a smooth cut off function such that begin{aligned}& 0leq varphi (x leq 1,quad frac{delta }{2}leq vert xvert leq delta ; & varphi (x)=1, quad vert xvert < frac{delta }{2}; & varphi (x)=0,quad vert xvert >delta.
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Based on the property of a continuously discretized cut-off function which describes how the flux varies, the coupling will be conservative.
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A modification is suggested to the Brenner potential cut-off function in order to compute atomic forces of carbon nanostructures in a more realistic way and giving a possibility to fit the atomic forces to experimental data.
In the present paper, we specifically consider the possibility of moving the kinetic region or creating new kinetic regions, by evolving the cut-off function with respect to time.
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Fire brigades in London and Buckinghamshire have been called out to blazes caused by the battery pack or charger overheating and having no safety cut-off function, while a Kent family suffered £25,000 of damage to their house after a hoverboard exploded in their kitchen.
Unlike the high order Gaussian beam method, in which the non-constant cut-off function is necessary and some extra error is introduced, the Hagedorn wave packets approach gives a practical way to improve accuracy even when ε is not very small.
Construction of cut-off function at boundary.
Fix a cut-off function such that (2.1).
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