Curved A∞-algebras appear in nature as deformations of dg algebras. We develop the basic theory of curved A∞-algebras and, in particular, curved dg algebras. We investigate their link with a suitable class of dg coalgebras via the bar construction and produce Quillen model structures on their module categories. We define the analogue of the relative derived category for a curved dg algebra.

This paper deals with representing several of the phenomena that occur when light travels a curved path through inhomogeneous media, such as the well-known mirages. Traditional curved ray tracing presents several problems which have not been efficiently solved yet. We present here our approach based both on curved ray tracing and photon mapping, introducing the concept of curved photon mapping.

The purpose of the present study was to identify genetic variants which confer susceptibility to chronic kidney disease (CKD) in high- or low-risk subjects defined by conventional risk factors separately. The study population comprised 2828 Japanese individuals, including 434 subjects with CKD [estimated glomerular filtration rate (eGFR) <60 ml/min/1.73 m(2)] and 2394 controls (eGFR > or =60 ml...

in according to the simplicity of the lattice boltzmann method’s(lbm) algorithm and its benefits, it has been used as a successful method in computational fluid dynamics in the last decades. in this paper, lbm was used to simulate the flow over a cylinder. to analyze the application of lbm in simulation curved surface, different methods to compute drag coefficient were used. these methods are: ...

Designing curved folds of a developable surface remains an open problem. No analytical method for the design of curved folds has been reported. Although optimization methods exist, it is difficult to interactively design valid curved folds of a single developable surface using such methods. In the present paper, we propose an interactive system for designing a surface with planar curved folds b...

In this paper, implementation of an extended form of a no-slip wall boundary condition is presented for the three-dimensional (3-D) lattice Boltzmann method (LBM) for solving the incompressible fluid flows with complex geometries. The boundary condition is based on the off-lattice scheme with a polynomial interpolation which is used to reconstruct the curved or irregular wall boundary on the ne...

Techniques for spherical osteotomy, such as rotational acetabular osteotomy, can help orthopaedic surgeons correct bony deformities and remove spherical acetabular components. Curved chisels are used during a spherical osteotomy, but they require skill and have a potential risk of damaging blood vessels or nerves. In order to perform a precise, quick and safe spherical osteotomy, we have develo...

in river meandering, when flow passes through a bend, reduction of flow velocity and rising hydrostatic pressure cause super elevation phenomena at outer side and reduction of water surface at inner-side of the bend. a helical motion results, causing erosion of the outer side of the bend. installation of submerged vanes on the stream bed can reduce erosion of the outer bank significantly. in th...