Let C f n denote the set of all subintervals of a binary shift-register sequence with length n generated by a primitive polynomial f of degree m, where m< n≤ 2m, together with the zero vector of length n. Munemasa [8] showed that if the polynomial f is a trinomial, then C f n corresponds to an orthogonal array of strength 2. His result is based on a proof that very few trinomials of degree at m...

Taguchi Method is a statistical approach to optimize the process parameters and improve the quality of components that are manufactured. The objective of this study is to illustrate the procedure adopted in using Taguchi Method to a lathe facing operation. The orthogonal array, signal-to-noise ratio, and the analysis of variance are employed to study the performance characteristics on facing op...

High-speed steel (HSS) tools are the most commonly used tools in small and medium-scale industry. Cryogenic treatment can be used to enhance the tool life. Studies on cryogenically treated (CT) cutting tools show micro structural changes in the material that can influence the life of the tools significantly. This paper primarily reports performance of CT HSS tools as compared to untreated (UT) ...

This paper is concerned with designing experiments under the assumption that an analysis strategy is used that considers interactions in addition to main effects. A criterion which averages an approximation to A s -efficiency over lower-dimensional projections of the design is introduced to compare designs. A columnwise design procedure is used to construct three-level designs for six factors i...

The focus of this work is to design parameters for shielded metal arc welding to ensure continuous and leak proof joints. To achieve the object an attempt has been made to selected important welding parameters. The selected welding parameters are welding current, welding speed, electrode angle and electrode angle. The selection is purely based on field expert’s suggestions, literature Survey an...

Introduction Tx-SENSE is used to reduce the pulse length of 2D and 3D spatially selective RF pulses. The design of array coils for Tx-SENSE applications is complimentary to the design of an array for Rx parallel MRI. Therefore, Tx-array elements that have B1 field distributions that are completely orthogonal may allow the complimentary effect of data compression [1] but on the transmit side for...

This paper describes a robust design method for separation of zinc ions from a solution using a laboratory electrodialysis (ED) setup. An experimental investigation is presented to determine the optimum configuration of factors for the best performance. In order to optimize the performance, the factors which have the greatest influence have to be identified and their optimum values chosen. In t...

Background: Enzymatic hydrolysis of lactose is one of the most important biotechnological processes in the food industry, which is accomplished by enzyme &beta;-galactosidase (&beta;-gal, &beta;-D-galactoside galactohydrolase, EC 3.2.1.23), trivial called lactase. Orthogonal arrays design is an appropriate option for the optimization of biotechnological processes for the production of microbial...

We study a family of polynomials in two variables, identifying them as the moments of a two-parameter family of orthogonal polynomials. The coefficient array of these orthogonal polynomials is shown to be an ordinary Riordan array. We express the generating function of the sequence of polynomials under study as a continued fraction, and determine the corresponding Hankel transform. An alternati...

A 60-element magnetic probe array has been constructed using miniature commercial chip inductors. The array consists of twenty clusters of three coils each mounted on a linear fixture. The coils are oriented in orthogonal directions to yield three-dimensional information. The array has been used to investigate magnetic properties of spheromaks. © 2004 American Institute of Physics. [DOI: 10.106...