We explore the structure of non-redundant and minimal sets consisting of graded if-then rules. The rules serve as graded attribute implications in object-attribute incidence data and as similarity-based functional dependencies in a similarity-based generalization of the relational model of data. Based on our observations, we derive a polynomial-time algorithm which transforms a given finite set...

This research develops thermo-elastic analysis of a functionally graded cylinder under thermo-mechanical loadings. Heat conduction equation in cylindrical coordinate system is solved. Thermal conductivity coefficient is graded along the radial direction. By considering a symmetric distribution of temperature, loading and boundary conditions, strain-displacement and stress-strain relations can b...

In this study, silicon carbide (SiC) nanoplates are prepared from the waste quart tube (main composition: dioxide) and autoclave lining polytetrafluoroethylene) produced in laboratory. The reaction is carried a stainless steel at 600 °C through magnesium reduction route. Electron microscopy investigations show that nanoplate thickness of SiC sample about 20 nm, edge length 200 nm. Furthermore, ...

In this article, classical plate theory (CPT) is reformulated using the nonlocal differential constitutive relations of Eringen to develop an equivalent continuum model for orthotropic triangular nanoplates. The equations of motion are derived and the Galerkin’s approach in conjunction with the area coordinates is used as a basis for the solution. Nonlocal theories are employed to bring out the...

in this paper, the influence of the constituent volume fractions by changing the values of the power-law exponent with uniform pressure on the vibration frequencies of reinforced functionally graded cylindrical shells is studied. the fgm shell with ring is developed in accordance to the volume fraction law from two constituents namely stainless steel and nickel. these constituents are graded th...

We extend the AKSZ formulation of Poisson sigma model to more general target spaces, and we develop theory graded geometry for poly-symplectic poly-Poisson structures. In particular prove a Schwarz-type theorem transgression structures, recovering action functional structure reduced phase space model, from construction.

Continuously operating heterogeneous catalytic reactors are an important step towards more efficient and controllable processes compared to batch operation. Ideally, should exhibit high permeability with the catalyst having a surface area volume ratio minimize required amount. An example of such morphology nanoparticles plate-like morphology. In this work, reactor was prepared by depositing sil...

Creep behavior of thick-walled functionally graded cylinder consisting of AlSiC and subjected to internal pressure and high temperature has been analyzed. The functional relationship between strain rate with stress can be described by the well known threshold stress based creep law with a stress exponent of five. The effect of imposing non-linear particle gradient on the distribution of creep s...

Let $G$ be a monoid with identity $e$. In this paper, first we introduce the notions of $G$-graded hyperrings, graded hyperideals and graded hyperfields in the sense of Krasner hyperring $R$. Also, we define the notion of a greded $R$-hypermodules and some examples are presented. Then we investigate graded maximal, graded prime and graded primary hyperideals of a graded hyperring $R$. Finally, ...

This article reviews recent research that addresses the functional outcomes of intervention for vestibular disorders. Vestibular impairments cause disequilibrium, blurred vision, disorientation, and vertigo. These sensory disturbances and motor impairments in turn cause dysfunction in many activities of daily living and in social interactions that traditional medical treatments do not address. ...