A surjective space transformation technique is used to convert an original dual linear programming problem with equality and inequality constraints into a problem involving only equality constraints. Continuous and discrete versions of the stable gradient projection method are applied to the reduced problem. The numerical methods involve performing inverse transformations. The convergence rate ...

BACKGROUND Time trends in infant mortality for the 20th century show a curvilinear pattern that most demographers have assumed to be approximately exponential. Virtually all cross-country comparisons and time series analyses of infant mortality have studied the logarithm of infant mortality to account for the curvilinear time trend. However, there is no evidence that the log transform is the be...

Triple Graph Grammars (TGGs) are a rule-based technique with a formal background for specifying bidirectional model transformation. In practical scenarios, the unidirectional rules needed for the forward and backward transformations are automatically derived from the TGG rules in the specification, and the overall transformation process is governed by a control algorithm. Current implementation...

In this paper, we address -tracking and -stabilization for a class of SE(2) autonomous vehicles with firstorder nonholonomic constrains. We introduce a class of transformations called near-identity diffeomorphisms that allow dynamic partial feedback linearization of the translational dynamics of this planar vehicle. This allows us to achieve global exponential -stabilization and -tracking (in p...

Linearized complex Ginzburg-Landau equation models various physical phenomena and the stability controls of them are important. In this paper, we study the control of the LCGLE with a simultaneously space and time dependent coefficient by transforming it into a complex heat equation. It is shown that under certain conditions on the coefficient functions a2(x̃, t̃), the exponential stability of th...

In this paper, we proposed a new generalized family of distribution namely alpha power Exponential (NAPE) based on the transformation (NAPT) method by Elbatal et al. (2019). Various statistical properties are obtained including moment, incomplete conditional probability weighted moments (PWMs), quantile function, residual and reversed lifetime stress-strength parameter, entropy order statistics...

Deterministic two-way transducers define the robust class of regular functions which is, among other good properties, closed under composition. However, the best known algorithms for composing two-way transducers cause a double exponential blow-up in the size of the inputs. In this paper, we introduce a class of transducers for which the composition has polynomial complexity. It is the class of...

This paper considers the stabilization of a heat equation with an integral type nonlocal boundary condition. Via choosing new intermediate target control system undetermined term instead determined one appeared in normal backstepping method, we convert original into by transformation. At same time, prove exponential Lyapunov function method after appropriate linear feedback control. Then, combi...

A survey of inhabitant exposures arising from the inhalation of 222Rn and 220Rn progeny, and lung cancer mortality has been carried out in two adjacent areas in Guangdong Province, People’s Republic of China, designated as the “high background” and the “control” area. Annual exposure rates are 0.38 working level months (WLM) per year in the high background, and 0.16 WLM/yr in the control area. ...