this article introduces a new tri-parameter law of corresponding states from the known regularities, namely the lir and zeno line for dense fluids (when tz=tc). two of these parameters are the zeno line parameters and the third parameter (the fluid parameter), has been obtained from the lir, this parameter is solely dependent upon the fluid characteristics. the third parameter can be obtaind fr...

When the parameter of deformation q is a root of unity, the centre of Uq(sl(N)) contains, besides the usual q-deformed Casimirs, a set of new generators, which are basically the m-th powers of all the Cartan generators of Uq(sl(N)). All these central elements are however not independent. In this letter, generalising the well-known case of Uq(sl(2)), we explicitly write polynomial relations sati...

This technical note discusses convergence conditions of a generalized variant of primal-dual interior point methods. The generalization arises due to the permitted case of having a non-uniform complementarity perturbation vector, which is equivalent to having different barrier parameters for each constraint instead of a global barrier parameter. Widely used prediction-correction methods and rec...

In this paper, we are interested in deriving a non-intrusive numerical approach to construct nonlinear and linear parameter varying reduced order models from data. More specifically, based on data collected stable non-linear time-domain simulator or experimental bench, show how can infer either (quasi) dependent model. The proposed is very recent procedure called MII for Mixed Interpolation Inf...

In this article, a time dependent partial differential equation is used to model the nonlinear boundary value problem describing heat transfer through a radial porous moving fin with rectangular profile. The study is performed by applying a numerical solver in MATLAB (pdepe), which is a centered finite difference scheme. The thermal conductivity and fin surface emissivity are linearly ...

The Redlich-Kister (R-K) polynomial has been generally used to model the mixing properties of binary and higher order alloys. interaction energy parameters R-K are assumed be either linear or exponentially temperature-dependent. When these temperature-dependent, computed thermodynamic functions sometimes show unusual trends. But when they exponential such trends do not appear in theoretical cal...

We introduce a new technique for proving kernelization lower bounds, called cross-composition. A classical problem L cross-composes into a parameterized problem Q if an instance of Q with polynomially bounded parameter value can express the logical OR of a sequence of instances of L. Building on work by Bodlaender et al. (ICALP 2008) and using a result by Fortnow and Santhanam (STOC 2008) we sh...

This article focuses on expanding the estimation of domain attraction (DOA) for discrete-time positive nonlinear systems subject to input saturation and parameter uncertainties. To facilitate analysis design, interval type-2 (IT2) polynomial fuzzy model is used represent plant capture Combining with IT2 controller, fuzzy-model-based (PIT2PFMB) control system formed analysis. enlarge DOA PIT2PFM...

The Bell number B(G) of a simple graph G is the number of partitions of its vertex set whose blocks are independent sets of G. The number of these partitions with k blocks is the (graphical) Stirling number S(G, k) of G. We explore integer sequences of Bell numbers for various one-parameter families of graphs, generalizations of the relation B(Pn) = B(En−1) for path and edgeless graphs, one-par...