Sentence examples for norm above from inspiring English sources

For q ∈ [ 1, + ∞ [ and λ ∈ [ 0, n [, the space of Morrey type M q, λ is the set of all the functions g in L l o c q such that ∥ g ∥ M q, λ = sup τ ∈ ] 0, 1 ] x ∈ Ω τ − λ / q ∥ g ∥ L q ( Ω ( x, τ ) ) < + ∞, endowed with the norm above defined.

Fig. 3 T0 average of 10 samples: "The Average Face" (Repeat of Fig. 2- Here for visual purposes) Fig. 4 T0 3dMD image of individual sample to be compared to the average T0 norm above Fig. 5 T0 individual sample superimposed over our T0 10 subject average norm.

It is well known that these two norms above are equivalent.

From the weak lower semicontinuity of the norm, the above moduli are non-negative.

In any case, the three types of norms considered above are the ones most frequently discussed under the rubric of the "ethics of belief".

Finally, assuming the continuum hypothesis, we find an example of an Asplund space admitting neither an equivalent norm with the above property nor a nicely smooth norm.

In part because it was so new, the idea of international human rights initially seemed an uncontroversial effort to establish moral norms above the fray of the cold war's ideological battles.

By comparing the trends with their uncertainties, one can see that the trends with the P-values can be separated into two groups: 1) those for HadCRUT4, NOAA-old, ERA-Interim and NCEP-R2, with trend norms below 0.01 °C/decade and P-values above 0.8, and 2) those for NOAA-new, GISTEMP and Cowtan & Way, with trend norms above 0.01 °C/decade and P-values below 0.8.

The definitions of Lipschitz and BMO norms above appeared in [11].

In order to achieve the last claim, because the sequence { u n ( r n ) } is weakly convergent to u ( r ) in V, we only need the convergence of the norms above.

Mr Raskar shakes his head at the idea of imposing a two-child norm from above.