1. The main aim of this report is to study decay estimates for global solutions of the system of linear crystal elasticity in three space dimensions for cubic crystals in the nearly isotropic case. In order to state the problem, we recall that the system of linear elasticity is of form $\frac{\partial^{2}u_{i}}{\partial t^{2}}=.\sum_{\wedge-}^{3}$. $c_{ijpq^{\frac{\partial^{2}u_{p}}{\partial x_...

This paper argues that the conventional definition of the elasticity of complementarity is not well suited to deal with the case of increasing returns. It proposes a slightly different formula, that uses a distance function formulation instead of a production function. The proposed definition coincides with the Hicksian measure in case the production function displays constant returns. It is mo...

The theory of factor demand has important implications for the study of the impact of immigration on wages. This paper derives the theoretical implications in the context of a general equilibrium model where the wage impact depends on the elasticity of product demand, the rate at which the consumer base expands as immigrants enter the receiving country, the elasticity of supply of capital, and ...

an airlift-type activated sludge reactor using a sponge support medium was fed with wastewater containing 500 mg-n/l of nh4 +-n. in order to establish partial nitrification, the reactor was kept at 35°c. moreover, the reactor was started up with the nahco3 solution as an alkali agent to supply inorganic carbon for enhancement of partial nitrification. the partial nitrification was established d...

When some steps of a complex, multi-step task are automated, the demand for human work in remaining complementary sub-tasks goes up. In contrast, when is fully declines. Upon aggregation to macroeconomic scale, partial automatability complex tasks creates bottleneck development, where further growth constrained by scarcity essential work. This removed once become automatable. Theoretical analys...

agriculture sector is the main consumer of water in the world. in productive sectors likeagriculture, water is considered as a valuable mediatory commodity or production input.demand for agriculture water comes from consumers› (agriculture products›) behavior. thisstudy aims to evaluate water use optimality in pomegranate arbors at the charkhab village inthe yazd province. the data was randomly...

Ω |Du| + f(AdjDu) + g(detDu), where u : Ω ⊂ IR → IR, f grows like |AdjDu|p, g grows like |detDu|q and 1 < q < p < 2, is C on an open subset Ω0 of Ω such that meas(Ω \ Ω0) = 0. Such functionals naturally arise from nonlinear elasticity problems. The key point in order to obtain the partial regularity result is to establish an energy estimate of Caccioppoli type, which is based on an appropriate ...

This study reviews recent literature on the mechanical and durability properties of concrete incorporating seashells as partial or full substitutes for conventional materials. The summarizes various contributions elucidating waste utilized, growing worldwide aquaculture production, seashell material preparation treatment, chemical composition, physical properties, different test methods adopted...