A variational approach is presented to calculate the stress field generated by a system of dislocations. It is shown that in the simplest case, when the material containing the dislocations obeys Hooke’s law the variational framework gives the same field equations as Kröner’s theory. However, the variational method proposed allows to study many other problems like dislocation core regularisatio...

We study the phase transitions of a random copolymer chain with quenched disorder. We calculate the average over the quenched disorder in replica

We introduce a variational approach to image segmentation based on sparse coverings of image domains by shape templates. The objective function combines a data term that achieves robustness by tolerating overlapping templates with a regularizer enforcing sparsity. A suitable convex relaxation leads to the variational approach that is amenable to large-scale convex programming. Our approach take...

with the aid of his genuine poetic imagination, nizami ganjavi created an everlasting masterpiece in persian literature through a local story named ‘leyli-va-majnoon’. his fantastic achievement inspired many poets to follow his model. on the other hand, william shakespeare picked the story of “romeo and juliet”, which was well-known in elizabethan england, transforming it to a celebrated romant...

The main purpose of this paper is to analyze the variational iteration method for solving the two-point boundary value problems. We show that Wang [Shu-Qjang Wang, A variational approach to nonlinear two-point boundary value problems, Comput. Math. Appl. 58 (2009) 2452-2455] demonstrated some incorrect solutions for two-point boundary value problems studied by means of the variational approach....

To The ediTor: It is with great interest that we read the article by Hirsch et al, “The use of vertebral augmentation and external beam radiation therapy in the multimodal management of malignant vertebral compression fractures,” published in the 2011 September/October issue of Pain Physician (1). This is a thoughtful and well-designed retrospective article which suggested palliation to patient...

Bayesian learning is widely used in many applied datamodelling problems and is often accompanied with approximation schemes since it requires intractable computation of the posterior distributions. In this study, we focus on the two approximation methods, the variational Bayes and the local variational approximation. We show that the variational Bayes approach for statistical models with latent...