Generalized I lyushin ' s deviatoric stress and s t ra in spaces are introduced, which make it possible to apply directly the postulate of isotropy to initially isotropic materials with plastic properties influenced by the third deviatorie stress invariant and to a certain class of initially anisotropie materials. The generalizations proposed are connected with a new concept of description of p...

In this paper, we introduce and study a new topology related to a self mapping on a nonempty set.Let X be a nonempty set and let f be a self mapping on X. Then the set of all invariant subsets ofX related to f, i.e. f := fA X : f(A) Ag P(X) is a topology on X. Among other things,we nd the smallest open sets contains a point x 2 X. Moreover, we find the relations between fand To f . For insta...

The second Zagreb coindex is a well-known graph invariant defined as the total degree product of all non-adjacent vertex pairs in a graph. The second Zagreb eccentricity coindex is defined analogously to the second Zagreb coindex by replacing the vertex degrees with the vertex eccentricities. In this paper, we present exact expressions or sharp lower bounds for the second Zagreb eccentricity co...

Two basic types of explanation have been proposed for the changes in segmental timing that occur when speakers change rate or stress of component syllables. One view is that the segmental "commands" for syllables spoken quickly and for unstressed syllables show more extensive temporal overlap than the same syllables spoken more slowly or with greater syllabic stress. An alternative view is that...

Invariants of the plane-stress elasticity stiffness matrix [Q] play a key role in composite design, as they simplify design processes. Multiple invariants have been proposed independently past, such ‘trace’ Tr=trace([Q]) by Tsai and Melo or U1, U4 U5, which are often used context lamination parameters. The present paper presents parametric description rotation-independent (invariant) linear com...

This article investigates stationary surfaces with boundaries, which arise as the critical points of functionals dependent on curvature. Precisely, a generalized “bending energy” functional $$\mathcal {W}$$ is considered involves Lagrangian that symmetric in principal curvatures. The first variation computed, and stress tensor extracted whose divergence quantifies deviation from -criticality. B...

let s be a locally compact foundation semigroup with identity and                          be its semigroup algebra. let x be a weak*-closed left translation invariant subspace of    in this paper, we prove that  x  is invariantly  complemented in   if and  only if  the left ideal  of    has a bounded approximate identity. we also prove that a foundation semigroup with identity s is left amenab...

One of unsolved problems in quantum measurement theory is to characterize coexistence of quantum effects. In this paper, applying positive operator matrix theory, we give a mathematical characterization of the witness set of coexistence of quantum effects and obtain a series of properties of coexistence. We also devote to characterizing bijective morphisms on quantum effects leaving the witness...

In this paper, the two parameter ADK entropy, as a generalized of Re'nyi entropy, is considered and some properties of it, are investigated. We will see that the ADK entropy for continuous random variables is invariant under a location and is not invariant under a scale transformation of the random variable. Furthermore, the joint ADK entropy, conditional ADK entropy, and chain rule of this ent...

Content analysis on nurses’ perception about the nature of occupational stress was performed in this study to identify emic and etic experiences of occupational stress. Nurses from Hungary, Israel, Italy, U.K., and the U.S., gave their responses in writing to the question: ‘‘What causes you the most stress or anxiety on your job?’’ in the dominant tongue of their country. Results indicate both ...