Sentence examples for maximum norm and from inspiring English sources

Assume that the space is equipped with pointwise ordering and normed by the maximum norm, and that the space is equipped with a.e.

is a normed linear space with the maximum norm and partially ordered by the cone. is a normal cone in.

Using a Lipschitz stable interpolation and a semi-Lagrangian scheme, our method is stable under both the maximum norm and the Lipschitz semi-norm.

Different from traditional optimized schemes that use the 2-norm and the least squares, we propose to construct the objective functions using the maximum norm and solve the objective functions using the simulated annealing algorithm.

Let a Banach space with the maximum norm, and a normal cone.

Consider the Banach space (with the maximum norm) and define an operator by (2.7).

Let be the maximum norm of,  and let   be the cone of all nonnegative functions in.

Let be endowed with maximum norm for, and let be a cone defined by (217).

It is easy to check that (|cdot |_{tau}) is a norm equivalent to the maximum norm in X and X endowed with the metric (d_{tau}) defined by d_{tau} x, y)=| x-y|_{tau}=max_{tin[0, K]} bigl{ bigl| x t -y(t)bigr| e^{-tau t} bigr} for all (x t -y X) is a complet bigrric space.

In the following Lemma we show the equivalence of the Euclidean norm and the maximum norm for the B-spline (NURBS) space.

Refinement in spatial and angular discretization was investigated and the calculation accuracy is studied via the difference of the multiplication factor from reference value and via the root-mean-square and maximum norm of the error in the pin power.