Hilbert frames theory have been extended to frames in Hilbert $C^*$-modules. The paper introduces equivalent $*$-frames and presents ordinary duals of a constructed $*$-frame by an adjointable and invertible operator. Also, some necessary and sufficient conditions are studied such that $*$-frames and ordinary duals or operator duals of another $*$-frames are equivalent under these conditions. W...

To meet the needs of three-dimensional (3D) measurement and to achieve high-precision fitting central axis a screw thread, this study performed complex processing 3D structures on surface thread axis. Moreover, examined problems long time low accuracy caused by use point cloud with large data volume. An improved particle swarm optimization algorithm was used develop method for convex hull. Soli...

the new non-conventional cutting process by the use of thermal shock is a convenient procedure for cutting the brittle materials such as glasses and ceramics. this method is based on the application of localized thermal shock to brittle materials by the use of hot air jet, which induces thermal stresses at the tip of an existed pre-crack. due to the thermo-elastic behavior of materials, the pre...

a new approach is proposed to model a crack in orthotropic composite media using the extended finite element method (xfem). the xfem uses the concept of partition of unity in addition to meshless basic idea of approximating a field variable by its values at a set of surrounding nodes. as a result, higher order approximations can be designed with the same total number of degrees of freedom. in t...

When we made a detailed examination with TTE, we saw that the transvenous temporary pacing was not in the jugular vein. The suprasternal view showed the lead of the pacemaker in the arcus aorta (Fig. 3A). The localization of the pacemaker lead was seen in the right ventricle by fluoroscopy in the RAO. But, we were sure the localization of lead in the left ventricle when we was seen by fluorosco...

In this paper, controlling the location of the tip of an L-shape beam under gravity field is investigated. The beam is covered with piezoelectric patches. The gravity filed moves the tip of beam downward and the actuators with induced voltage move the tip to the previous location. to optimize the best location and voltages for actuators, the particle swarm optimization algorithm code is develop...

BACKGROUND Nipple creation using the C-V flap technique is often the final step in breast reconstruction. The aim of this study was to subjectively and objectively assess the cosmetic outcomes and satisfaction of patients undergoing C-V flap nipple reconstruction. METHODS Subjective assessments of patient satisfaction with the neo-nipple were recorded by visual analogue scoring (VAS; 0...

Sequential optimality conditions provide adequate theoretical tools to justify stopping criteria for nonlinear programming solvers. Here, nonsmooth approximate gradient projection and complementary approximate Karush-Kuhn-Tucker conditions are presented. These sequential optimality conditions are satisfied by local minimizers of optimization problems independently of the fulfillment of constrai...