Sentence examples for concerning inner from inspiring English sources

Analysis of this process provides meaningful information concerning inner geometric structures in the data.

In connection with the famous work [1] (see also [2]) of Jordan and von Neumann concerning inner products, the von Neumann-Jordan constant (C_{NJ}(X)) for a Banach space X was introduced by Clarkson [3] as the smallest constant C, for which the estimates frac{1}{C}leqfrac{|x+y|^{2}+|x-y|^{2}}{2(|x|^{2}leq|^{2})}leq C hold for all (x,yin X ) with ((x,y neq 0,0)).

The whole problem (the simulation of the movements of the inner free surface due to the excitation of the outer sea-waves) is split into two subproblems: an outer one, dealing with the incident, diffracted and radiated waves, solved once for all, and an inner one, concerning the inner water volume behavior.

It would be interesting to analyze two open problems concerning the inner strong asymptotics (resp. the outer relative asymptotics) for orthogonal polynomials with respect to Sobolev-type inner products when (K=infty ) and (mu ) belongs to the Szegő (resp. Nevai) class.

There have been no surprises concerning the inner workings of atoms for some 20 years.

I spent some time looking through the online collections at YCBA and I chose this image due to the film's content concerning the inner workings of a court life.

Three different levels of complexity were used in modelling the double bottom structure concerning the inner and outer shell plating; longitudinal stiffeners in the shell plating, and structures with stiffening in longitudinal floors.

On the basis of a duplex layer structure for the anodic layer, the results show only a small influence of the nature of the cations in those process concerning the inner barrier layer specifically.

Given that some of the direct effects were only evident in the SEM and not in the hierarchical regression (particularly concerning condensed inner speech), these relations should be interpreted with caution and require further replication.

He thinks both relate to freedom but in different ways: right concerns outer freedom and virtue concerns inner freedom (being master of one's own passions) (6:406–07).

In the encyclopedic "Art of War," he suggests an improved design for forts, but he is still concerned with inner rebellion (he forbids an inner keep where the residents can hole up and tells us starvation is more effectual than siege).