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On a trigonometric inequality of Askey and Steinig.
A short proof is given for the inequalityd n sin kθdθX k=1 k sin θ/2 < 0 for 0 < θ < π,supplemented by a discussion of some related results.Mathematics Subject Classification: 51M16, 42A0, 42A2
On The Negative Pell Equation x^2=8y^2-4
The binary quadratic equation represented by x^2=8y^2-4 the negative pellian is analyzed for its distinct integer solutions. A few interesting relations among the solutions are given. Further, employing the solutions of the above hyperbola, we have obtained solutions of other choices of hyperbolas, parabolas and special Pythagorean triangle
Municipal Solid Waste Management Study and Strategy in Aligarh City, Uttar Pradesh India”
ndia is a religious country with ancient civilization and having population diverse in religious and cultural belief. The International standards of sanitation and cleanliness point out the poor sanitation condition in our nation. The Mahatma Gandhi had a dream of clean India. He played a great role for making Indian clean and green. Moreover, the Government of India has followed hisfoot prints and launched a Mission named “Swachh Bharat Abhiyan” The Mission was started byHon’ble Prime Minister of India Mr. Narendra Damodardas Modi on 2nd of October, 2014 on the occasion of 145th Birth anniversary of Mahatama Ghandhi at Rajghat, New Delhi with an aim to make clean India. The Mission aims to provide upliftment to the maintenance of adequate disposal system of domestic sewage, cleanliness in rural and urban development, availability of safe and clean drinking water to all the citizens. Mission aim to complete sanitary India dream through“Swachh Bharat Abhiyan” by the year 2019. Some of the ministries involved in mission for the sanitary India are Ministry of Rural Development, Ministry of Urban Development, Ministry of Drinking water and Sanitation, Public Sector Undertaking, Corporations, National Government Organizations, State Governments, Defence Research and Development Organisation etc. However, it has been clearly declared that the campaign is not only the duty of the government alone but each and every citizen of the country is equally responsible to keep the nation clean and green.So lets make mission for sanitary india for the Aligarh city in Uttar Pradesh and problems encountered in the accomplishment of goal. This paper gives current scenario of India with respect to case study of municipal solid waste quantity, quality and its management strategy
INVESTIGATION OF HIGH SPEED STEEL (R18)
As the high carbon high speed steel type R18 is a very abrasion resistant material due to its high hardness resulting from hard carbides and martensitic matrix .In this work we had tested , the spectra chemical composition, hardness , of that steel before and after heat treatment , and determination of phase transformation points by dilatometer during heating and cooling at the rates of 10 and 20 C˚/min. .Mechanical properties after different temperatures of heat treatments were tested. Valuable results were achieved .All results were shown in the tables (1-6) in the text, which could be considered as the continuation of many authors works, who tried other methods , in their investigations ..The main goal is to has high abrasion resistanse at high temperature during high speed machinin
INHIBITOR BIOSENSOR SYSTEMS IN DYNAMIC MODE
The biosensor amperometric transducers can work in the case of three basic types of reversible inhibitor enzyme systems – with competitive inhibition, with non-competitive inhibition and mixed inhibition. Tipicaly they work in static mode. Now they are investigated in dynamic mode. In the paper are investigated the influence of starting concentration of inhibitor over output current of the biosensor with three type inhibition enzyme kinetic in dynamic mode. Those kinetic is generally discussed in terms of a simple extension to the Michaelis-Menten reaction scheme. The biosensor is amperometric product sensitive. Solving system of non-linear partial differential equations is reseived in three dimensional size and the concentration profiles of substrate S(x,t), inhibitor I(x,t) and product P(x,t) are reseived. The models are described in non stationary diffusion conditions. The systems of non-linear differential partial equations are solved numerically in MATLAB medium. In the 3D vision are given reagents concentration changing in the active membrane
INTEGRATION OF INSTRUCTIONAL METHODS AND MATERIALS TO FACILITATE THE DEVELOPMENT OF SPOKEN LANGUAGE IN STANDARD ONE
Interactive activities are paramount in the teaching of speaking skills. This is because the learners are actively involved in the lesson. This study sought to investigate techniques used in teaching English spoken language in primary schools Standard One in Mwea East District, Kirinyaga County, Kenya. The objectives of the study were to: investigate the manner in which teachers involve learners in interactive activities to develop spoken skills in standard one ant examine the integration of teaching and learning resources by teachers during lessons to facilitate the development of spoken language in standard one. A descriptive survey design was adopted for this study. A sample of 22 primary schools was selected out of the 72 primary schools in the study region and 37 standard one teachers out of the 121 standard one teachers in the region. The data was collected by use of questionnaire ,observation schedule and document analysis. Descriptive statistics were used to analyze the data. The data was then presented descriptively and summarized as frequencies and percentages in tables and graphs. It is hoped that the curriculum developers would gain insight in development of support materials and activities for standard one learner. Teachers will understand the value of support materials and activities developed in the use of interactive activities which facilitate development of speaking skills
The Position of criminals Personality File in Iran’s penal policy in 2010s
Consideration of the perpetrator’s personality in the today’s criminal law is very important and the actualization of the restorative justice and achievement of the punishment objectives is difficult without recognizing and perceiving it; moreover, it might even cause the expansion of iniquity in lieu of serving justice. It is for the same reason that the personality file finds importance. The personality file incorporates information about the general and special statuses of the guilty such as his or her psychological, familial, educational and social conditions. Such personality files areevaluations of the crime’s human and social aspects along with the prior familial, educational, professional, psychological and physiological attributes of the accomplice as well as the motivation of the crime perpetration and, in general, the general states of the criminal. Therefore, the present study investigates the personality file as a factor influencing the correct implementation of the restorative justice as well as its effect on the commutation of punishment. The present study is seeking to explore the issue based on a descriptive method through taking advantage of library research
The cultural customs of Afghanistan muslims during pregnancy, childbirth and postpartum period
The thesis is a part of Tallinn Health Care College, Department of Midwifery research: Thecultural customs of Afghanistan muslims during pregnancy, childbirth and postpartum period:based on the results of the interviews during professional training of Afghan midwives in Estoniain 2015.53% of all the war refugees around the world headed to Europe in 2015, including the refugeesfrom Afghanistan with Islam as the majority religion. According to Statistics Estonia, theimmigration to Estonia has also increased in recent years. 27% of the migrants heading toEstonia were from outside of the European Union in 2015. It is important to know the culture ofAfghanistan and similar countries, and to understand the individual needs of the migrants fromthese countries in order to provide them with high-quality health care
APPLICATION OF THE LINEAR FLOW DIFFUSIVITY EQUATION IN ESTIMATING WATER INFLUX IN LINEAR WATER DRIVE RESERVOIRS
Over the years, many models for estimating unsteady-state water influx in edge–water drive reservoir-aquifer systems as well as bottom-water drive reservoir–aquifer systems have been developed. Unfortunately, little emphasis has been placed on reservoir–aquifer systems of linear geometry. Therefore, this paper examines the applicability of the linear flow diffusivity equation in developing a model suitable for estimating unsteady-state water influx in linear water drive reservoir–aquifer (infinite) systems. The linear flow diffusivity equation is written in dimensionless form by defining an appropriate dimensionless time and dimensionless length in order to enhance a more generalized application. Moreover, the required constant-terminal pressure solution of the dimensionless equation is obtained by imposing the appropriate Drichlet’s and Newmann’s boundary conditions. Finally, the applicability of the solution is demonstrated using superposition principle