We propose a novel quantum integrable model for every non-simply laced simple Lie algebra $${{\mathfrak {g}}}$$ , which we call the folded model. Its spectra correspond to solutions of Bethe Ansatz equations obtained by folding standard associated with affine $$U_q(\widehat{{{\mathfrak {g}}}'})$$ simply {g}}}'$$ corresponding . Our construction is motivated analysis second classical limit defor...

We study the approaches to two-dimensional integrable field theories via a six-dimensional(6D) holomorphic Chern-Simons theory defined on twistor space. Under symmetry reduction, it reduces four-dimensional theory, while under solving along fibres leads four-dimensional(4D) anti-self-dual Yang-Mills or its generalizations. From both theories, various can be obtained. In this work, we try invest...

Let M be a Poisson manifold equipped with a Hermitian star product. We show that any positive linear functional on C∞(M) can be deformed into a positive linear functional with respect to the star product.

We present a new method of collision detection for models deformed by linear blend skinning. The linear blend skinning (also known as skeleton-subspace deformation, vertex-blending, or enveloping) is a popular method to animate believable organic models. We consider an exact collision detection based on a hierarchy of bounding spheres. The main problem with this approach is the update of boundi...

Let μ (q) p be the q-deformed Poisson measure in the sense of SaitohYoshida [24] and νp be the measure given by Equation (3.6). In this short paper, we introduce the q-deformed analogue of the Segal-Bargmann transform associated with μ (q) p . We prove that our Segal-Bargmann transform is a unitary map of L(μ (q) p ) onto the q-deformed Hardy spaceH (νq). Moreover, we give the Segal-Bargmann re...

in this work some quantitative structure activity relationship models were developed for prediction of three bioenvironmental parameters of 28 volatile organic compounds, which are used in assessing the behavior of pollutants in soil. these parameters are; half-life, non dimensional effective degradation rate constant and effective péclet number in two type of soil. the most effective descripto...

Recent developments in nanostructured products draw considerable attention to ultrafine grained materials. These materials are normally manufactured by different severe plastic deformation (SPD) methods. In the present study, analytical models and finite element method (FEM) are used to calculate strain imposed to a specimen that was deformed by equal channel angular pressing (ECAP). In additio...

traumatic brain injury (tbi) is caused by rapid deformation of the brain, resulting in a cascade of pathological events and ultimately neurodegeneration. in vitro models of tbi can help us to describe the pathobiological mechanisms. in vitro models of brain injury support a platform for performing repeatable, well-controlled, environmentally isolated experiments. other advantages of in vitro mo...