In this paper, we show that every element of a discrete module is a sum of two units if and only if its endomorphism ring has no factor ring isomorphic to $Z_{2}$. We also characterize unit sum number equal to two for the endomorphism ring of quasi-discrete modules with finite exchange property.

Nous exprimons des équations de Painlevé discrètes sous forme systèmes hamiltoniens discrets. Les discrets désignent ici les transformations canoniques définies par la génération fonctions. Notre construction est basée sur classification d’équations basées le type surface. que nous obtenons sont écrits dans fonctions logarithme et dilogarithme.

this paper presents a discrete-time robust control for electrically driven robot manipulators in the task space. a novel discrete-time model-free control law is proposed by employing an adaptive fuzzy estimator for the compensation of the uncertainty including model uncertainty, external disturbances and discretization error. parameters of the fuzzy estimator are adapted to minimize the estimat...

Free vibration characteristics of continuous grading fiber orientation (CGFO) beams resting on variable Winkler and two-parameter elastic foundations have been studied. The beam is under different boundary conditions and assumed to have arbitrary variations of fiber orientation in the thickness direction. The governing differential equations for beam vibration are being solved using Generalized...

farmers are now more interested in application of weed control methods and tools with less environmental side effects. flame weeding using propane gas is an approach with almost no any chemical residue on the soil and plant surfaces or underground water. in this research, a flame weeding machine with the ability of uniform and also discrete flaming was developed and evaluated in laboratory and ...

this paper proposes a discrete-time repetitive optimal control of electrically driven robotic manipulators using an uncertainty estimator. the proposed control method can be used for performing repetitive motion, which covers many industrial applications of robotic manipulators. this kind of control law is in the class of torque-based control in which the joint torques are generated by permanen...

background: discrete subaortic stenosis (dss) is a progressive condition. controversy still rumbles on as to whether the subaortic membrane causes aortic regurgitation (ar) and whether membrane resection reduces ar severity. we investigated the association between the left ventricular outflow tract peak gradient (lvot-pg) and ar severity preoperatively and changes in ar severity and obstruction...