Let $A$ be an abelian topological group and $B$ a trivial topological $A$-module. In this paper we define the second bilinear cohomology with a trivial coefficient. We show that every abelian group can be embedded in a central extension of abelian groups with bilinear cocycle. Also we show that in the category of locally compact abelian groups a central extension with a continuous section can b...

as an application of hirota bilinear method, perturbation expansion truncated at different levels is used to obtain exact soliton solutions to (2+1)-dimensional nonlinear evolution equation in much simpler way in comparison to other existing methods. we have derived bilinear form of nonlinear evolution equation and using this bilinear form, bilinear backlund transformations and construction of ...

A bilinear selection scheme for ranked populations is presented. The deVelopment of the selection scheme is motivated by the desire for a generationally dependant selection mechanism that can be adjusted in an intuitive manner. The selection mechanism is dehned by a four parameter (p, l, c, B) bilinear cumulative probabiliry distribution. Expressions for the mean and variance of the proposed bi...

let $a$ be an abelian topological group and $b$ a trivial topological $a$-module. in this paper we define the second bilinear cohomology with a trivial coefficient. we show that every abelian group can be embedded in a central extension of abelian groups with bilinear cocycle. also we show that in the category of locally compact abelian groups a central extension with a continuous section can b...

the chadegan metamorphic complex is a wnw-ese- trending antiformal structure located in sanandaj-sirjan structural zone, iran.the inner core of the structure is made of orthogneiss, containing eclogitic lenses. schists and marbles lie structurally above theorthogneiss and crop out in the external limbs of the antiformal dome. two main deformational episodes have been documented in theschists an...

comparison of linear and nonlinear (bilinear) time series models in reference crop evapotranspiration prediction in urmia synoptic stationreference crop evapotranspiration (eto) prediction is one of the important elements in optimizing agricultural water consumption. in this regard, one of the prediction approaches is to use the stochastic time series methods. in this research, ar (p) and arma(...

in this paper, the effect of autofrettage process parameters on the ultimate pressure that functionally graded spherical vessel can tolerate are investigated. fgm properties and autofrettage pressure are considered as important parameters. assumptions are variation of properties of fgm in radial direction, the residual stress in the absence of bauschinger effect with the operation of variable m...