This paper is devoted to an inequality for divided differences in the multivariate case which is similar to the inequality obtained by [J. Pečarić, and M. Rodić Lipanović, On an inequality for divided differences, Asian-European Journal of Mathematics, Vol. 1, No. 1 (2008), 113-120].

We discuss a class of generalized divided difference operators which give rise to a representation of Nichols-Woronowicz algebras associated to Weyl groups. For the root system of type A, we also study the condition for the deformations of the Fomin-Kirillov quadratic algebra, which is a quadratic lift of the Nichols-Woronowicz algebra, to admit a representation given by generalized divided dif...

This paper deals with optimal operation of a three-product Dividing-Wall Column (DWC). The main idea is to design a control structure, through a systematic procedure for plantwide control, with an objective to achieve desired product purities with the minimum use of energy. Exact local method is used to find the best controlled variables as single measurement or combination of measurements ...

Using the formula of shear bearing force of oblique cross section in eccentrically loaded column, we analyze the stress acting on short-leg shear wall and conventional eccentrically loaded column. We propose the formula for calculating the shear bearing force of oblique cross section of short-leg shear wall that considers the action of vertical reinforcing steel bars, flange and axial compressi...

this paper presents a new model for predicting the compressive strength of steel-confined concrete on circular concrete filled steel tube (ccfst) stub columns under axial loading condition based on artificial neural networks (anns) by using a large wide of experimental investigations. the input parameters were selected based on past studies such as outer diameter of column, compressive strength...

We present a combined use of Genetic Algorithms (GAs) and column generation to approximately solve graph-coloring problems. The proposed method is divided in two phases. The constructive phase builds the initial pool of columns using a Constructive Genetic Algorithm (CGA). Each column forms an independent set. The second phase solves by column generation the set covering formulation. The column...

A divided difference expansion with remainder for a general divided difference is derived that contains Floater’s recent derivative expansion as a special case. key words divided difference, univariate, remainder, interpolation

Virulence of the opportunistic yeast, Candida albieans, involves the interplay of many complex changes including the yeast-hyphae transition, which mainly involves protein changes. Cell wall mannoproteins are found to be the main cause of adherence of C. albieans to epithel ial cells in the first step of an infection process. In the present study, cell wall mannoproteins of intact yeast wer...

Traditionally, distillation column profiles have been divided into rectifying and stripping profiles, described by the liquid composition along the column. Recently, Tapp et al. (2003) defined a generalised column section and the composition profiles in these sections are described by the Difference Point Equation. Column sections can be sequenced by the designer (within certain constraints) an...