Review of Mathematical Approach to Engineering Problems
Mathematics is widely used in every engineering fields. In this paper, several examples of applications of mathematics in mechanical, chemical, optimization and electrical engineering are discussed. Laplace transform mathematical tool is applied to solve problems. Applications here are the real ones found in the engineering fields, which may not be the same as discussed in many mathematics text books. The purpose of this paper is to relate mathematics to engineering field.
Composed Reed Solomon Sequences Generated by ith Partial Sum of Geometrical Sequences
Reed–Solomon codes are an important group of error-correcting that were introduced by Irving S. Reed and Justine Solomon in 1960. They used in the error coding control, special in systems that have two way communication channels in two externally applications: deep telecommunications and the compact disc. They have many important applications, the most prominent of which include consumer technologies such as CDs, DVDs, Blue-ray Discs, QR Codes, data transmission, technologies such as DSL and Wi MAX, broadcast, systems such as DVB and ATSC, and storage systems such as RAID 6 . They are also used in satellite communication. This research is useful to generate new Reed Solomon Codes and their composed sequences using the ith partial sum of geometrical sequences with the bigger lengths and the bigger minimum distance that assists to increase secrecy of these information and increase the possibility of correcting mistakes resulting in the channels of communication.
Engineering Problems Solving BY Analytical Mathematical Approach
Learning how to approach and solve problems which relate to real world situations is an integral part of the education of many higher and further education students and is particularly relevant to students studying for a professional degree. Mathematics is widely used in every engineering fields. In this paper, several examples of applications of mathematics in, civil, chemical and electrical engineering are discussed. Applications here are the real ones found in the engineering fields, which may not be the same as discussed in many mathematics text books. Methodologies used are of general interest and may be applicable in other, unrelated, disciplines.
On Transmuted Flexible Weibull Extension Distribution with Applications to Different Lifetime Data Sets
In this article, a three parameters transmuted version of the flexible Weibull extension distribution called transmuted flexible Weibull extension distribution is studied. The proposed model is very flexible and is able to model real phenomena with increasing, unimodal or modified unimodal failure rates. Explicit expressions for mathematical properties are derived. Maximum likelihood estimates and asymptotic confidence bounds for the unknown parameters of the model are also obtained. Four real data sets are analyzed in order to illustrate the flexibility of the proposed distribution.