Sentence examples for original norm from inspiring English sources

The modified anisotropic norm is related to the original norm at a reduced anisotropy level and the H∞-norm of the system.

Assume that is a Banach space with and is the set of all norms in which are equivalent to the original norm with the metric.

defines a norm on satisfying the lattice norm property; in fact, the norm restricted to is equivalent to the original norm in, and we use the same symbol to denote the (new) norm.

We recall that D 1, m ( R N ) is a reflexive Banach space that is also characterized by (see [13]) D 1, m ( R N ) = { u ∈ L m ⋆ ( R N ) : ∂ u ∂ x j ∈ L m ( R N ), j = 1, 2, …, N }, where m ⋆ : = N m N − m, and that its original norm is equivalent to the gradient norm ∥ ∇ ⋅ ∥ L m ( R N ).

We define the norm on (L^q_mathrm{r}(a,R)) by begin{aligned} Vert uVert _{L^q_mathrm{r}(a,R)} := left( int _a^R |u(r)|^q r^{N-1} mathrm {d}r right) ^{1/q} quad text { if } qoriginal norm on (L^q_mathrm{r}(B_R{setminus } overline{B_a})).

Original Norm Eastman illustration used for the cover of Man's Story, November 1963, It appears that the technology for men's storytelling myths transitioned from publishing to digitally manipulated film, but the story remains the same.

We prove, in this subsection, that under the mapping given in Theorem 2.2, the new norming constant is times the original norming constant.

Substantive normative facts may filter, supplement, or otherwise modify the original norms, as dictated by the interpretative goals in play.

Legend has it that jazz musicians Stan Getz and Shelley Mann played jam sessions in the restaurant's car park, and that Sonny Bono - who began his career in promotions before shacking up with Cher - was a fixture at the original Norms, rarely seen without a stash of 45s under his arm.

He may then say that the law now includes both the original norms and the principles (or perhaps some further norms determined by the principles).

In this operation, the principles (and the further norms that they determine) are valid in virtue of the relation of justification they bear to the original norms.