For classical elasticity, the constitutive equations (Hooke’s law) have the same functional form for both homogeneous and nonhomogeneous materials. However, for straingradient elasticity, such is not the case. This paper shows that for strain-gradient elasticity with volumetric and surface energy (Casal’s continuum), extra terms appear in the constitutive equations which are associated with the...

We describe an auto-encoder with multiplicative connections whose hidden variables encode products of pixel intensities. The model allows for efficient learning of image transformations and of higher-order structure within an image-patch. Modelling higher-order structure can be an effective way to improve recognition performance, as shown recently with a similar, probabilistic model of image co...

Following a study of the existing algorithms for image-based homing, and their strengths and weaknesses, a new, adaptive controller was designed. The controller achieves homing through gradient descent of the RMS surface by modelling C. Elegans chemotaxis with a first-order function. The controller parameters were evolved in a simulated environment, and were then tested and evaluated both in si...

The behavior of solutions to the biharmonic equation is well-understood in smooth domains. In the past two decades substantial progress has also been made for the polyhedral domains and domains with Lipschitz boundaries. However, very little is known about higher order elliptic equations in the general setting. In this paper we introduce new integral identities that allow to investigate the sol...

in this research, the bending analysis of rectangular nanoplates subjected to mechanical loading is investigated. for this purpose, the strain gradient elasticity theory with one gradient parameter is presented to study the nanoplates. from the best knowledge of authors, it is the first time that the exponential shear deformation formulation based on strain gradient elasticity theory is carried...

A new determinant-specific, effective change (‘dressing’) of the norm of the multireference configuration interaction (MRCI) wavefunction is proposed in order to achieve the sizeconsistency of the MRCI method. The new approach provides a unifying framework for analysis of size-consistent extensions of the MRCI method that are based on the coupled pair functional (CPF) strategy and lead to simpl...

background: sperm selection for icsi based on morphology and motility might not be relevant to chromatin integrity. thus sperm selection based on sperm characteristics has been suggested. objective: the aim of this study was to compare the efficiency of zeta method with routine density gradient centrifugation method (dgc) for the selection of sperm with higher dna integrity. materials and metho...

In this paper, size-dependent effects on the vibration behavior of Timoshenko microbeams under pre-stress loading embedded in an elastic foundation, using modified strain gradient theory (MSGT) and surface stress effects, were studied. To consider the surface stress effects, the Gurtin–Murdoch continuum mechanical approach was employed. Using Hamilton’s principle, the governing equations of mot...