Let R be a regular local ring, K its field of fractions and (V, φ) a quadratic space over R. In the case of R containing a field of characteristic zero we show that if (V, φ)⊗R K is isotropic over K, then (V, φ) is isotropic over R. 1 Characteristic zero case 1.0.1 Theorem (Main). Let R be a regular local ring, K its field of fractions and (V, φ) a quadratic space over R. Suppose R contains a f...

the general relatively isotropic mean landsberg metrics contain the general relativelyisotropic landsberg metrics. a class of finsler metrics is given, in which the mentioned two conceptsare equivalent. in this paper, an interpretation of general relatively isotropic mean landsberg metrics isfound by using c-conformal transformations. some necessary conditions for a general relativelyisotropic ...

springback is one of the most common and important issues in metal forming area. due to it depends on variety of parameters, it is hard to predict. hence, in this paper, the effect of continuum damage mechanics (cdm) based on the lemaitre isotropic unified damage lawon springback was investigated. swift’s hardening law was employed to describe isotropic hardening behavior.the result showed cons...

the problem of propagation of plane wave including body and surface waves propagating in a transversely isotropic half-space with a depth-wise axis of material symmetry is investigated in details. using the advantage of representation of displacement fields in terms of two complete scalar potential functions, the coupled equations of motion are uncoupled and reduced to two independent equations...

in this paper the meshless local petrov-galerkin (mlpg) method is implemented to study the buckling of isotropic cylindrical shells under axial load. displacement field equations, based on donnell and first order shear deformation theory, are taken into consideration. the set of governing equations of motion are numerically solved by the mlpg method in which according to a semi-inverse method, ...

Can the radiation pattern of an antenna be isotropic? A simple argument suggests that this is difficult. The intensity of radiation depends on the square of the electric (or magnetic) field. To have isotropic radiation, it would seem that the magnitude of the electric field would have to be uniform over any sphere in the far zone. However, the electromagnetic fields in the far zone of an antenn...