The Beal conjecture is an unsolved number problem. It was formulated in 1993 by Andrew Beal ,A Banker and an amature mathematician during investigating generalization of Fermats Last Theorem [1] [2] since 1997. He offered a monentary prize for an impressive proof of this conjecture . At present no suitable proof has been produced . In this article I also provided the clear and a systematic proof of this conjecture

Education is the only strong force which develops the personality of the students. It strengthens the mind and body of the student. Value education as the other names- moral education, character education, ethics education so on inculcates self awareness in students, so that one can be good to himself/herself as well as to the society. It also encourages conserving tradition, culture, religion and to be the better person so on. Quality education covers whole system of education, from the classroom to the outside school premises. Successful quality education has rooted in value based education and this is the major concern in today’s world. To improve the quality education students should taste the fruit of value education

Emotional and Spiritual intelligence, no doubt in our times, got the popularity and in recent Days both are considered the integral part of intelligence. It is proved that a balanced personality,” A person who is emotionally as well as spiritually balanced can perform better in his academic, professional and general life.” Now the need of the time is to create such balanced personalities in our class rooms and this crucial task to integrate the emotional and spiritual intelligence in teaching –learning process is in the hands of our teachers. This research paper highlights some basic problems of our present educational system and suggests a few relevant tips to integrate EQ and SQ in teacher education to overcome all these challenging problems. Because teachers are the real nation builders and there is no another way except taking the help of our teachers to create and build a humane society

The most hazardous event of the present century is rapid degradation of environmental quality. The population explosion creates situation like more people needing more food, more energy and more things of daily use, such as housing, clothing and automobiles. Environmental Education not only educates the world population about the natural environment and its problem; but also aims at developing in them the knowledge, attitude and skills necessary to protect the natural balance in. environment besides working for its enrichment. Environmental Education is nothing but teaching a man how to interact fully with the surrounding world, so as to improve his inner world. Environmental education enables one to maintain his life. This in turn, helps in the preservation of human race

Quality is trust worthy; it provides standard and excellence to the product so that we can be assured what we are purchasing. It makes us satisfied and reliant, so quality education does the same with the individual. It brings out what the individual has well within himself/herself. Quality education perfectly understands the thirst of an individual and provides fulfilling the need of the individual. Now a day in any area educational qualification alone is not sufficient but the requirements have gone far and wide. The outcome process of quality education can not only be seen but can be felt by the individual and the society. Quality education makes the individual to face the challenges and help to solve them by bringing out the best in an individual. Quality education is the best gift that the individual can get from the parents, teachers and school administrators.

There has been rising concern in recent years over supercritical fluids for organic waste treatment and other applications. The discovery of the presence of critical point dates back to 1822. The temperature and pressure beyond the critical point are in the supercritical state. Critical points are usually at high pressures. Therefore, a high-pressure test facility (high temperature and high pressure depending on the case) is required for a systematic study of fluids in the near- or supercritical state. This might have been the main reason why studies in this field were comparatively few until recently. Research on supercritical fluids and the applications development reached the initial peak during the period from the second half of the 1960s to the 1970s followed by the secondary peak about 15 years later. The initial peak was for the separation and extraction technique as represented by the extraction of caffeine from coffee beans. Since the practical application in Germany in 1978, a number of practical plants have been in operation. The secondary peak concerns decomposition of organic (waste) substances, which started when the U.S. Department of Defense began studies on using supercritical water as a means for completely decomposing chemical weapons. And the tertiary peak is about to come with mounting interest in the possible development of new material program.

The Malabar rebellion was a critical period in the history of Malabar especially of the Muslims. It was the Congress, which brought the Mappilas into the forefront of mainstream politics against the British .It ensured the Mappila participation in this concern through the Khilafath issue. But during and after the rebellion the Congress had done nothing in favor of the Mappila Community. They never tried to address the requirement of the Mappilas and betrayed the community. Thus the community fell down without a strong leadership and organization. As a result a number of Organizations emerged in Malabar for the socio-political and religious regeneration of the Mappila community. One Such organization is the Samastha Kerala Jamiyathul Ulema which played an important role in the socio-political resurgence of Mappila Muslims. This paper is a study in this regard.

The passage of the constitution (Seventy-third Amendment) Act, 1992 marked a watershed in the history of Modern India. With this amendment, a uniformity structure of Panchayats emerged throughout the country. Similarly, the passage of the constitution (Seventy-Fourth Amendment) Act, 1992 was a land mark in the history of municipal administration in India. As a result of these amendments, Panchayats and Municipalities are now constitutional bodies forming third tier of the federal policy of India.1 India’s decentralization initiative in the form of seventy-third and seventy fourth Amendments poses challenges and offers opportunities. Tenth Finance Commission onwards every Finance Commission allocated the grants funds to Panchayati Raj Institutions (PRIs).

Sports from time immemorial have been a unifying factor among all mankind days of ancient Greece where modern Olympics have its beginning, man began to show their excellence in sports they competed with each other and celebrated their success. Sports provide an opportunity to learn, to experience success, team work and moments of of excellence . The speed of women's advancement in sports which has been started thus of course vary but it is important that it underway more or less everywhere. However many obstacles remain to be overcome,

Conducted study on Anxiety and Achievement motivation among youth in Shirur city. Simple random sampling method for used data collection. Main purpose of the correlation in Anxiety and Achievement motivation youth boys and to see the correlation in Anxiety and Achievement motivation of youth girls. Eighty youth selected for this study. The data was obtained using Sinha’s comprehensive Anxiety Test (SCAT): A. K. P. Sinha and L. N. K. Sinha and Achievement motivation scale: Pratibha Deo and Asha Mohan. The finding the prediction of There is positive correlation between anxiety and achievement motivation of youth boys and there is negative correlation between anxiety and achievement motivation of youth girls.

Prominently, The Family Reunion has been acknowledged as one of the important plays that contributed to the revival of poetic drama in England. It was the first-ever attempt on the part of the playwright to employ contemporary settings and speech in drama. However, the play is also important for its contemporaneity of the themes and subsequent moralizing on the part of the writer. The play has been reviewed by literary scholars from a philosophical, psychological, and religious point of view. Although the Christian theme of sin and its expiation, crime, and final punishment hold the ground throughout the play, it touches upon various common, day-to-day issues of the modern world. Alienation, loneliness identity crisis, and survival are some of the other themes that have been highlighted by the dramatist here. The present research paper explores the psychological ailment of the play’s prominent characters which they represent in their separation in the relationship. Simultaneously, it touches upon the other issues that are extremely experienced by the people of England in the twentieth century like degeneration, disbelief, selfishness, cunningness, and deterioration in human feelings and sentiments.

India's education system is facing challenges that may be one of the biggest facing any nation in the 21st Century. Especially higher education in modern Indian society seeks to preserve, transmit and advance knowledge. Many experts, committees and commissions have underlined the importance of education as an instrument of change and progress. The task of nation building depends on the quality and number of persons coming out of our schools and colleges