Abstract: Complex Analysis is playing an important role in various engineering fields and in particular contour integration. In this paper, I started with some important basic concepts of Analytic function, Singularities, Zeros, Isolated Singularity, Removable Singularity, Pole, Essential Singularity, and Residue to evaluate the complex integration.

Keywords: Analytic function, Singularities, Zeros, Isolated Singularity, Removable Singularity, Pole, Essential Singularity, Residue and Contour Integration.
Title: Complex Analysis for Engineering Mathematics to Calculate the Residue and Evaluation of Real Definite Integrals
Author: K. Santhanam
ISSN 2394-9651
International Journal of Novel Research in Physics Chemistry & Mathematics
Novelty Journals

Abstract: Sri Lankan share market returns have wave like patterns. A wave can be viewed either in time domain or frequency domain. The time domain is a record of what happens to a parameter of the system versus time or space. Box-Jenkins methodology or Auto Regressive Integrated Moving Average (ARIMA) methodology was widely applied in explaining wave like patterns when wave is stationary type. This study was focused on testing ARIMA models on forecasting Sri Lankan share market returns. Stationary of the series were tested by Auto Correlation Functions and Partial Auto correlation Functions. ARIMA models were tested on total market returns, sector returns and individual company returns of Colombo Stock Exchange. Mean Square Error, Mean Absolute Deviation, residual plots and Anderson Darling test were used in model validation.

Keywords: ARIMA, Auto correlation, Fundamental analysis, Stationary, Technical analysis
Title: ARIMA Models on Forecasting Sri Lankan Share Market Returns
Author: W.G. S. Konarasinghe, N. R. Abeynayake, L.H.P.Gunaratne
ISSN 2394-9651
International Journal of Novel Research in Physics Chemistry & Mathematics
Novelty Journals

Abstract: The Lorentz factor is a special factor of the theory of special relativity (TSR). Its derivation and involving in physics is not easily understandable, as is, for example, the buoyancy force in fluids. This paper will review the physics of this factor and the way of its entering in the science of physics. The review will be done with analysis and comparison of the results of several interest works in which the Lorentz factor appears. The conclusion of this paper is that the Lorentz factor has no sustainable basis in physics.

Keywords: Lorentz factor, velocity of light, special relativity
Title: Review of the Lorentz Factor
Author: Shukri Klinaku
International Journal of Novel Research in Physics Chemistry & Mathematics
Novelty Journals