We have defined the variable exponent of Cesàro complex function space formal power series. constructed prequasi-ideal generated by s -numbers and this new functions. present some topological geometric structures class ideal. The existence Caristi’s fixed point is examined. Some properties related to theory are presented...

The DPL (Davis-Putnam-Logemann-Loveland) procedure is one of the most effective methods for solving SAT problems. It is well known that its efficiency depends on the choice of the branching rule. One of the main improvements of this decision procedure has been the development of better branching variable selection through the use of unit propagation look-ahead (UPLA) heuristics (e.g., [13]). UP...

1. An interesting class of real functions of a single real variable, the approximately continuous functions, was introduced by Denjoy [l] in his work on derivatives. The two principal facts discovered by Denjoy are that these functions are of Baire class 1 and have the Darboux property. Ridder [2] showed that the arguments of Denjoy apply to real functions of n variables. In this paper we discu...

We consider the problem of variable selection for the single-index random effects models with longitudinal data. An automatic variable selection procedure is developed using smooth-threshold. The proposed method shares some of the desired features of existing variable selection methods: the resulting estimator enjoys the oracle property; the proposed procedure avoids the convex optimization pro...

We have investigated the focusing properties of surface plasmon polariton floating dielectric lenses. An analysis of the scattering characteristics of surface plasmon polaritons using a floating dielectric block shows that the air-gap thickness between a floating dielectric block and a metal substrate can be an effective dynamic variable for modulating the amplitude and phase of the transmissio...

In this paper, a variable-coefficient Korteweg-de Vries (vcKdV) equation which was proposed to describe the propagation of weakly nonlinear waves in water of variable depth is investigated in detail. Firstly, the Lie point symmetries and some group invariant solutions of this equation are presented. Furthermore, the integrability property of this variable-coefficient equation is studied followi...

ION1: For each variable, put all variable values that do not appear in the property in the same equivalence class. Formally, 8i; 1 i n, let D i ( ) = fd i;1 ; :::; d i;k g, 1 k m. Then create a class ^ d i;l 2 PART (D i ), 1 l < m, for which h i (d i;1 ) = h i (d i;2 ) = ... = h i (d i;k ) = ^ d i;l . Using our abbreviation, 8i; 1 i n, A(D i ( )) 2 PART (D i ). Lemma p1: For each variable v i ,...