Sentence examples for of lower norm from inspiring English sources

Initiating downhill movement from a saddle point or maximum to either a singular point of lower norm or a solution always takes place along an eigendirection, v, of negative curvature that can be calculated from efficient eigendecomposition of the Hessian matrix of the least-squares function using Lanzcos or some other eigenvalue-eigenvector technique.

If it is true that the normative level of emotional expression is lower in Northern Ireland than in Serbia (perhaps because high levels of emotional expression are discouraged), then one might intuitively expect observers from Northern Ireland to judge any given case of emotional expression against this lower norm and thus give it a higher rating.

An answer to this problem has been to assume that there exist "meta-norms" that tell people to punish transgressors of lower-level norms (Axelrod 1986).

In particular, when (w_{n}=1) for all n, the bounds for the norm of lower triangular matrix operators from (c_{p}) into (l_{p}) are deduced.

In this section, we compute the bounds for the norm of lower triangular matrix operators from (c_{p}(w)) into (l_{p}(w)).

In this section, we tend to compute the bounds for the norm of lower triangular matrix operators from (l_{p}(w)) into (c_{p} (w)).

Remark 4.4 (a) The estimate (2.5) does not imply uniqueness of a solution to (2.3) because the elliptic part u 1 of the solution appears in a norm of lower order on the right-hand side of the estimate.

In the present study, we considered the problem of finding bounds for the norm of lower triangular matrix operators from (l_{p}(w)) into (c_{p} (w)) and from (c_{p}(w)) into (l_{p} (w)).

This paper is concerned with the problem of finding bounds for the norm of lower triangular matrix operators from (l_{p}(w)) into (c_{p} (w)), where (c_{p}(w)) is the Cesàro weighted sequence space and ((w_{n})) is a non-negative sequence.

As a result, governmental budgeting is frequently of lower quality than is the norm in the private sector.

FDRs who reported more sunbathing were younger, more likely to be female, endorsed fewer barriers to using sunscreen, perceived more benefits of sunbathing, lower image norms for tanness, and endorsed higher sunbathing norms.