Sentence examples for weak rigidity from inspiring English sources

But the Hodge type could be different, except in special cases where weak rigidity holds.

But the poor machinability of honeycomb core is a key factor that limits its application owing to its weak rigidity in in-plane direction of cellular materials.

In order to obtain weak rigidity results, one has to use, as an invariant for group actions on tori and Abelian varieties, the Hodge type, introduced in Definition 19 (see also Remark 20).

The above definition of Inoue type manifold, although imposing a strong restriction on X, is too general, and in order to get weak rigidity type results it is convenient to impose restrictions on the fundamental group (Gamma ) of Z, for instance the most interesting case is the one where Z is a product of Abelian varieties, curves, and other locally symmetric varieties with ample canonical bundle.

The attempt to prove that Inoue surfaces form a connected component of the moduli space of surfaces of general type proved to be successful [35], and was based on a weak rigidity result: the topological type of an Inoue surface determines an irreducible connected component of the moduli space (a phenomenon similar to the one which was observed in several papers, as [30, 31, 36, 119]).

The following (see [96, 98]) is the main result concerning surfaces isogenous to a product, and is a stronger result than weak * rigidity.

The next question which the theorem leaves open is weak * rigidity, for which several ingredients should come into play: the Hodge type, a fine analysis of the structure of the action of G on Z, the problem of existence of hypersurfaces on which G acts freely and the study of the family of such invariant effective divisors, in particular whether the family has a connected base.

Consequently, wrinkling is attributed to circumferential stress caused by the propagation of the stress wave and the weak circumferential rigidity of the sheet, and local hump and depression are attributed to the stress concentration because of the interruption of previously formed structure on the propagation of stress wave.

For slender and long precast concrete flexural members, most studies (Hansell and Winter 1959; Sant and Bletzacker 1961; Massey 1967; Siev 1960; Revathi and Menon 2007a, b) focused on the classical formulation to propose the weak-axis flexural rigidity and torsional rigidity associated with the lateral and torsional instability of concrete beams.

Calculations show that separating big building sections from each other with proper separation distances and increasing lateral rigidity on the weak direction of the structures decrease the effect of torsion.

Instead of rigidity, consider the weaker notion called local rigidity in Fitting and Mendelsohn 1998: an intension is locally rigid at a state if it has the same designation at that state that it has at all accessible ones.