The corresponding operators and are arbitrarily norm-close to and if the approximation of the coefficients is close enough.
In fact it is a strongD-function, meaning it can be approximated arbitrarily closely inD-norm, by simpleD-functions.
In particular, we prove that, for every given norm, there are arbitrarily small perturbations of it for which the minimum is attained.
Numerical experiments indicate that the present MIB method is of second order convergence in both L∞ and L2 error norms for handling arbitrarily complex interfaces, including biomolecular surfaces.
We live in a society where people whose behaviour is considered to deviate from the norm - as determined arbitrarily by that society - answer to the justice system.
A quadratic approximation to the evolution equation is shown to be unstable in finite time, the lipschitz norm of the contour becoming arbitrarily big.
Since both F and f are o ( 1 ) for x near the boundary, it follows that F can be made arbitrarily close to f in the uniform norm.
One might note that the protocol of 90 days became the norm after it was set arbitrarily by Monsanto in its applications and has been since adopted by others without question or any apparent justification.
We present a numerical algorithm to compute the strong H-infinity norm for DDAEs which is robust to arbitrarily small delay perturbations, unlike the standard H-infinity norm.
This is because the RPT controller in the second stage is capable of rendering the Lp-norm (1⩽p<∞) of the resulting tracking error arbitrarily small in the presence of external disturbances and initial conditions.
They include the right of people to start a legally recognized business without arbitrarily applied regulations or discrimination in the application of norms and procedures.
