System of linear equations

theory moving randomly across intuition, experiments and mathematical framework. Kalman Filter Concept The Kalman filter equations are recursive and it is helpful to estimate the time varying state variables and parameter from unifying earlier results that he…

Chemicals Congo red (CR) an anionic dye (C32H22N6Na2O6S2 and Molar Mass as 696.7 gmol-1) used in the present work (Fig.1a) and zinc acetate dihydrate were purchased from LOBA Chemie Company, India. Methylene blue (MB) a cationic dye (C16H18N3SCl and Molar Mass of 319.85 gmol-1) as shown in Fig.1b, was purchased from Oxford laboratory reagent Co. Zinc acetate used for the preparation of nanoparticles ZnO and sodium hydroxide were purchased from Biotech laboratory chemicals company. Ethyl alcohol…

variables in controlled lab settings, to utilize these laws in new innovations such as ventilation systems, and to explain observed biological phenomenon like breathing. Boyle’s Law, the first of these gas laws, was published in 1662, and developed an inverse relationship between pressure and volume, provided that the temperature and the number of moles of gas remained constant.1 It is illustrated by the equation PV = k1, where…

of 90%. From Equation ‎2.1: Y2 = 10 x 2 (log 0.9 / log 2) = 9.5 So, the duration at unit 2 = n x Yn – Yn-1 = 2x9.5 – 10 = 9 days From this equation, Table ‎2.1compares LOB duration (ES & EF) before and after applying the learning effect. Table ‎2.1: LOB schedule before and after applying the learning effect Learning effect (a) LOB (no learning) (b) Unit Y Dur. Cum. Time ES EF ES EF 1 10 10 10 0.0 10.0 0 10 2 9.0 8.0 18.0 10.0 18.0 10…

generalization of this rate equation which projected by F. Kargi , that is assumed to be useful both in the case that the total enzyme or substrate is in excess and the quasi-steady-state is produced. We conclude that this generalization is not enough dramatically and put another generalization based on application of the quasi-steady-state conservation equations and condition for both substrate and enzyme. The standard HMM equation is obtain via (a) applying the conservation equation only for…

which measures the concentration of CO2 in the lungs and represents a surrogate for concentration of CO2 in the arterial blood, was recorded for the entire duration of the scan using a capnograph device (Capnogard, Model 1265, Novametrix Medical Systems, CT). Imaging parameters used in this study were FOV = 220 ? 220 mm2, matrix size = 64 ? 64, 43 axial slices, thickness = 3.5 mm, no gap, TR/TE/flip angle = 2000 ms/25ms/80?, single-shot EPI.…

left after 45 minutes, therefore, after using the equation, 81% was calculated. This is the percentage of the “drug” eliminated from the system after 45 minutes. Discussion: The experiment has been completed and the results were recorded as accurately as possible. The results we obtained seemed to be in favor of the hypothesis we had set out initially. It seems to show that as time increased, the concentration of the “drug” left in the blood system decreased. It also shows that, the higher…

The Leontief model is an attempt in this direction. Based on the assumption that each industry in the economy has two types of demands: external demand (from outside the system) and internal demand (demand placed on one industry by another in the same system), the Leontief model represents the economy as a system of linear equations. The Leontief model was invented in the 30’s by Professor Wassily Leontief (picture above) who developed an economic model of the United States economy by dividing…

Abstract: In this report, we want to determine whether there is a relationship between two industrial variables, X and Y, that would prove the importance for the company to achieve its maximum revenue and decide how to deal with its data and information. EMIC, a manufacturing company and plant, is equipped with state of the art and most recent can making technology to manufacture general line cans in different shapes and sizes plus a wide range of food packaging products. EMIC also provides…

variable bounds, and other problem constants. While shadow values directly quantify the total objective incentive to constraint changes; this invention also analyzes incremental improvements in each objective term and other process variables. In both linear and nonlinear optimization analyses, skilled users may perform sensitivity analysis for individual parameters (see Fiacco 1976; Ganesh and Biegler 1987). This invention improves this by expanding the practice to the systematic…