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The proof will demonstrate the non-existence of a 3x3 magic square of squares. I remember reading a Scientific America article and at the bottom of the article was the link to an article which described this problem. To me it seemed bizarre that a problem that had such a clear start point and was based on a concept so simple to understand could have no proof. I decided then that I would prove that such a square could never exist. I was inspired that the problem had been unresolved such it was first asked in 1984 and that it could be dated back to great mathematicians such as Leonhard Euler. Like many people interested in maths I am in awe of much of the the work that Leonhard Euler did so to be able to solve a problem whose roots can be traced back to him was exciting. People have been working with magic squares for centuries and yet nobody has presented a proof showing why a 3x3 magic square comprised entirely of square numbers cannot exist. I decided that night that I would provide such a proof. I was unaware how complex the problem was and how complex the tools I would need to solve the problem were but it was the start of the most wonderful journey that I wish I could relive. For hundreds of years people have been constructing magic squares. The definition of a magic square which I will refer to extensively throughout this proof states the following. The sum of all the elements in the rows, columns and diagonals must be equal. Each element must be unique in any square and must be a natural number. Therefore when I say something has been proven false through the defintion of a magic square this is the definition I am referrring to. Well reading an article in Scientific America I came across something that rather astounded me. The article claimed that no one had found an example of a 3x3 magic square that contains only magic square numbers. Furthermore no onw has proven that such a square cannot exist. This type of problem can be traced back all the way to Leonhard Euler who is the first person known to construct a 4x4 magic square of squares. I have always been fascinated in mathematical mysteries as the world is written in the mathematics to understand mathematics is to understand the world. Therefore by proving something in maths I am making the world a little more interesting. In the proof that follows I will show why a 3x3 magic square of squares can never exist. I will do this in 10 parts. The first part will be a general proof as to why the lowest element must be the middle or the corner for any magic square of squares to exist. I will then show that the lowest element can never occupy the middle or the corner of any square without violating the definition of what a magic square is.

The investigation was focused on the isolation of metal tolerant and antibiotic sensitive bacteria (A. ferrooxidans from bauxite and P. aeruginosa from magnesite mine) from the waste dump of mine by using selective medium. These two organisms showed maximum metal resistant potentiality for the selected heavy metals (Mn, Zn, Fe, Cr, Cu and Hg) in the range of 20 to 100 mg/ml^-1. The tolerance among the isolated bacteria on heavy metals were observed in order of Mn > Zn > Fe > Cr >Cu>. These organisms did not show effective tolerant to Hg. The minimal inhibitory concentration (MIC) of heavy metals (Mn, Zn, Fe, Cr, Cu and Hg) for the test bacteria were in the ranges of 50 to 200mg/ml^-1. The antibiotic susceptibility of these two metal tolerant bacteria were analyzed by standard antibiotics, the results showed that most (8 antibiotics) of the antibiotics are sensitive except amphicillin and co-trimoxahole. The overall results indicate that the isolated metal tolerant bacteria would be very useful for the reclamation of mine soil without any hazardous effects.

Environmental contamination by textile dye effluents is of greater concern nowadays. The use of biological process for its elimination is a convenient way to get rid of it. This study sought to explore the potential use of bacterial isolates from textile dye contaminated soil in the degradation of the dyes. Different optimizing parameters such as pH, temperature and concentration have been worked out to find out the effective degradation. The work involved isolation of isolates (S1,S2 and S3) for the degradation of three different dyes (Black B1, BlueNE2RL, and Red BS11) at different parameters such as pH (pH6, pH7 and pH8), Temperature ( Room temperature and Incubation temperature) and Concentration (5mg/l and 10mg/l). The results show varying degree of degradation under various optimizing conditions. The optimal conditions for the effective degradation for all three dyes were found to be at neutral pH and slightly acidic pH, at incubation temperature and at concentration of 5mg/l. Thus this study demonstrates means of developing a management strategy based on the biodegradation process for the effective removal of persistent textile dye.

In this study the concentration of Nitrogenous compounds were investigated in 6 stations on Munzur (three stations) and Pülümür River (three station) which placed at the Eastern Anatolia of Turkey between 2006-2010. Water pollution was discussed according to the amount of nitrate, nitrite and ammonium values. The results showed that the concentration of nitrate depends on increasing of anthropogenic activities and discharges of waste waters from sewerage systems during the summer term in Munzur River. Regarding of Nitrogen compounds, the concentration of nitrate showed the highest values while the ammonium and nitirite ions measured at the low values in all stations for both river. Mostly the concentration of nitrate showed the highest values in all seasonal terms during the study time intervals in all sampling stations. One-way ANOVA and Duncan's tests were used to determine the differences between stations during the seasonal variations. According to the tests there were no significant differences for nitrate levels between stations during the study term. In this study we pointed out that the water pollution that occurred because of Nitrogenous compounds could be result of agricultural activities in Munzur and Pülümür River 2006-2010.

This paper describes the sensor nodes and its hardware constraints. This paper throws light over the energy issues of the sensor nodes while transmitting and receiving data over the distances and effects of attenuation due to several environmental parameters. This paper also gives the comparative analysis of received power at different heights of transmitter antenna.

The collimator is the most important part in the installation of the Prompt Gamma Activation Analysis (PGAA). This collimator will be installed around the lateral Channel of the Moroccan TRIGA MARK II research reactor. The main purpose of this work is using the Monte Carlo simulation via the MCNP5 code to design the new collimator of the prompt gammas installation, to determine the optimal thickness of the bismuth (Bi) filter for gamma radiation. The obtained results of the collimator design and its filter are analyzed and discussed.

Biometric technology has become a basis of an extensive array of highly secure identification and personal verification solutions in our world today. More importantly in the wake of heightened concern about security and rapid advancements in communication and mobility. Significant application areas of biometric systems include security monitoring, access control and authentication, border control and immigration, forensic investigation, telemedicine and so on. When a single trait is used in an application it is referred to as unimodal biometric, while combination of two or more sources or traits in an application is referred to as multiple biometrics. But biometric system that uses a single biometric trait for recognition has this propensity to contend with problems related to non-universality of the trait, spoof attacks, large intra-class variability, and noisy data. Besides, no single biometric trait can meet all the requirements of every possible application, hence the need for multiple biometric system to overcome the limitation of unimodal biometric. The new paradigm is robust against individual sensor or subsystem failures and spoof attack, as it is very difficult to spoof multiple traits simultaneously. In addition, the technological environment is very appropriate because of the widespread deployment of multimodal devices (PDAs, 3G mobile phones, Tablet PCs, laptops etc). The aim of this paper is to present an overview of multiple biometric systems, design approach and application scenario.

Network Proxy Logs contain useful user access patterns that are waiting to be discovered. By analyzing those logs, it is possible to discover various kinds of knowledge, which can then be applied to improve the performance of proxy server. Association Rule mining, by using Proxy logs, aims to discover interesting user access patterns. This paper proposes a novel approach for proxy log mining. In our approach, the Apriori Algorithm is used to extract important or useful Rules from proxy server ACCESS logs. Our paper’s aim is to mine patterns from the Network Proxy Logs and show the difference that some unauthorized clients somehow getting access to information and some authorized clients are not getting access to information. Clients who are unauthorized might be an intruder.

Although the Republic of Turkey is recognized as a country figured in opposition to the heritage of and in contrast with the Ottoman Empire, it is obvious that this viewpoint does not fully comply with realities. In this regard, it is possible to claim that the attempt of a bureaucratic group to control the whole social and political area, which also revealed itself for centuries in the Ottoman Period and became more evident in its last periods, has passed to the Republic. Center-periphery relationship established by both the bureaucracy and the public with the spirit of Kuva-yi Milliye (meaning either National Forces or Nationalist Forces in Ottoman Turkish) has evolved into a bureaucratic management structure upon the foundation of the Republic. This structure, which was attempted to be justified for institutionalizing and guaranteeing the new state in the early years of the Republic, did not change in the following years; moreover, it turned into an uphill struggle of bureaucratic structure not to lose the positions that it obtained. Although the powerful governments supported by the public upon the initiation of the multi-party system, the bureaucratic structure, having positioned itself as the owner of the state, struggled to take hold of the power every time by antidemocratic means and usually achieved to do it. In this regard, the coups of May 27, September 12 and February 28 may be considered as the attempts of the bureaucratic structure to take hold of the state again. Today it seems that the bureaucratic structure that regards itself as the owner of the state has lost some of its positions; however, it may be suggested that the struggle between the masses willing to have more democracy and this deep structure will go on for a long time. In this study, the struggle of bureaucratic structure to acquire areas and protect the acquired ones in spite of public and democracy and neutralization of politics in this struggle as from the foundation of the Republic until 2002 are discussed.

Strenuous physical activity is part and parcel of an athlete’s daily schedule especially prior to competitions. The physical demands of training induce specific nutritional demands in the athlete as sports training is often characterised by acute bouts of high power output (Brotherhood, 1984) which inevitable places a huge demand for energy and water. This posits that proper nutrition is a vital aspect in sports and can optimize one’s performance on the track or field. Over the past two decades, there has been greater understanding on the inextricable link between dietary behavior and optimal sports performance. Yet, awareness on the ground still seems to be lacking especially in developing nations. This paper, hence, attempts to summarize some important concepts pertaining to nutrition and sports performance to raise awareness on the physiological basis of the specific nutritional demands of sporting activities. It also provides some suggestions on dietary composition during various stages of training and competition.