We consider the possible ways of the homogenization of nongraded non-commutative algebra and show that it should be combined with the cancellation rule to get the mathematically adequate correspondence between graded and non-graded algebras.

In the present study, a compact analytical model is developed to determine the pressure drop of fully-developed, incompressible, and constant properties slip-flow through arbitrary cross-section microchannels. An averaged firstorder Maxwell slip boundary condition is considered. Introducing a relative velocity, the difference between the bulk flow and the boundary velocities, the axial momentum...

In this paper, we want to represent a method for ranking of two exponential trapezoidal fuzzy numbers. In this study a new Cardinality between exponential trapezoidal fuzzy numbers is proposed. Cardinality in this method is relatively simple and easier in computation and ranks various types of exponential fuzzy numbers. For the validation the results of the proposed approach are compared with d...

In this study, we propose an approach to determine the shortest path length between a pair of specified nodes s and t on a network whose edge weights are represented by trapezoidal neutrosophic numbers. Finally, an illustrative example is provided to show the applicability and effectiveness of the proposed approach. Keywords—trapezoidal fuzzy neutrosophic sets; score function; Shortest path pro...

OBJECTIVES Gastrointestinal side-effects caused by mycophenolic acid (MPA) are frequent in liver transplant recipients, and in these cases a switch from two to three daily doses is usually recommended. However, a limited sampling strategy for the estimation of MPA area under the curve from 0 to 8 hours (AUC(0-8h)) has not been made. DESIGN AND METHODS In 22 liver transplant patients who were ...

BACKGROUND Premature ventricular contractions (PVCs) may cause subtle changes in left atrium (LA) structure and function which may not be readily detected by conventional parameters. AIM To explore the relationship between PVCs and LA shape and size remodelling in patients without known structural heart disease. METHODS PVC frequency per 24 h was divided into tertiles. Echocardiographic mea...

In this paper, we want represented a method for ranking of two exponential trapezoidal fuzzy numbers. A median value is proposed for the ranking of exponential trapezoidal fuzzy numbers. For the validation the results of the proposed approach are compared with different existing approaches.

In this paper, we want proposed a new method for ranking in areas of two generalized trapezoidal fuzzy numbers. A simpler and easier approach is proposed for the ranking of generalized trapezoidal fuzzy numbers. For the confirmation this results, we compared with different existing approaches. 2010 AMS CLASSIFICATION: 47S20, 03E72.

A new block method of order two for the numerical solution of initial value problems is derived. This method is similar to the block Trapezoidal rule [12] , where the low power of the block size appear in the principal local truncation error. Direct comparison with result relating to the block Trapezoidal rule results obtained in [1] is made.

Laminar natural convection in a trapezoidal cavity filled with various fluids is studied numerically using a finite volume method. The cavity inclined left and right sidewalls are maintained at constant cold temperature while the top wall is maintained at constant hot temperature. The bottom wall is considered adiabatic. Fluid flow fields , isotherm patterns and the average Nusselt number are p...