The first one compares the performance of the WL estimator in relation to the SL one by considering an observation process defined on an infinite interval and with multiplicative noise.
On this basis, the authors propose to design asymmetric structures by twice repeating the modal analysis: the first one with the actual mass distribution, so as to cover the elastic behaviour; the second one by considering the centre of mass displaced towards the centre of rigidity by a design eccentricity, so as to fit the inelastic response.
In this study, the crack growth resistance due to the bridging of aggregates (defined as bridging stress) is evaluated by relating the crack opening displacements at the macroscopic scale to the mesoscopic one by considering the fracture toughness and the elastic modulus of the interface between the coarse aggregate and the mortar.
We normalize to one by considering (28).
For this purpose, we first search for flux rope geometries, which can explain the observed MC and select the most probable one by considering the link to its solar source.
(ii) For any k, l, m, n different from one by considering a subgraph of Figure 1(a), the girth of the graph Γ ( G 4 ) is gr ( Γ ( G 4 ) ) = ∞.
For any k, l, m, n different from one by considering a subgraph of Figure 1(a), the girth of the graph Γ ( G 4 ) is gr ( Γ ( G 4 ) ) = ∞.
But in a general Dedekind complete lattice group it may happen the non-existence of Hausdorff topologies 'compatible' with the order (see also [40]), and we need an approach different from the classical one, by considering concepts like closedness and compactness by means of nets (or sequences) of functions rather than by topologies.
Thus (3.22) yields f ( x ) = r 1 x by Theorem 2 of [14], which is the C 0 strictly increasing solution satisfying 0 < f ( x ) < x for x > 0. The other case f ( x ) > x can be reduced to the first one by considering the dual equation (1.5).
To avoid this and compensate the small contribution of ( left|{mathrm{TECR}}_{Phi}^{mathrm{min}}left(mathrm{k}right)right| ), the value of ( {mathrm{TECR}}_{Phi}^{mathrm{max}}left(mathrm{k}right) ) can be properly selected to a relatively large one by considering the magnitude of the ( {mathrm{TECR}}_{Phi}^{mathrm{min}}left(mathrm{k}right) ).
