education leads to happiness using automata theory

5
Indo-Bhutan International Conference On Gross National Happiness Vol 02, October 2013 Pages: 245-249 International Journal of Business Intelligents (IJBI) 245 www.ijbui.com Education Leads to Happiness Using Automata Theory A.Victor Devadoss 1 , M.Clement Joe Anand 2 , J.Maria Roy Felix 3 , J.Juliet Mary 4 1 Head & Associate Professor, Department of Mathematics, Loyola College, Chennai-34, India 2 Ph.D Research Scholar, Department of Mathematics, Loyola College, Chennai-34, India 3 Assistant Professor, Department of Mathematics, Loyola College, Chennai-34, India 4 M.Sc Mathematics, Department of Mathematics, Loyola College, Chennai-34, India. Abstract Education brings out the knowledge of a person. The purpose of education is to ask question “why”. The answer leads to the question “how”. Where these questions leads to the questions, it leads to ivilization. What is happiness? Feeling of pleasure, joy, satisfaction etc. In this paper we discuss about how education leads to happiness. First section gives the information about education. Second section about the concept of the problem. Third section gives the graph and solution by automata theory. Final section conclusion based on our study. 1.Introduction: “If the only tool you have is a hammer, you tend to see every problem as a nail” by Abraham Maslow. Investment in education is investment in national happiness. All the literate are not educated and also some illiterates are educated. Rationalising the difference between good & evil, right & wrong, just & unjust are educators. “Do not train children to learning by force and harshness, but direct them to it by what amuses their minds, so that you may be better able to discover with accuracy the peculiar bent of the genius of each” by Plato.“Count your age by friends, not years. Count your life by smiles, not tears” by John Lennon. In mathematical problem, when we solve problems, we get many result. But we choose the best result. As like mathematics, life also give two solution good and bad solution. If we choose good Solution, we get happiness. Let us consider mathematical problem as life problem. “People are often unreasonable and self-centered. Forgive them anyway. If you are kind, people may accuse you of ulterior motives. Be kind anyway. If you are honest, people may cheat you. Be honest anyway. If you find happiness, people may be jealous. Be happy anyway. The good you do today may be forgotten tomorrow. Do good anyway. Give the world the best you have and it may never be enough. Give your best anyway. For you see, in the end, it is between you and God. It was never between you and them anyway.” By Mother Teresa. 2.Concept of the Problem: Let us analyse the solution “happiness” by using graph theory and automata theory. Let ݒ, ݒ,…. ݒ be the vertices which indicates purpose of education. And ݒbe the vertex denote “happiness”. 2.1. :The implement of value based education: In schools & colleges, we study lot of concepts, implementing the concepts in life leads to happiness. Schools provide space for growth both physically and mentally. The study of moral and ethical values that makes us a perfect human being. In value education, as in any other area of education, what is asked of the teacher is a total commitment to the development of rational autonomy in both thought and action. It should be noted that the most important aspect of value education consists not in unwilling adherence to a set of rules and regulations but in the building and strengthening of positive sentiments for people and ideals. Value education should however, prepare individuals for participation in social life and acceptance of social rules. What is more important in value education is that schools should provide a healthy climate for

Upload: iirpublications

Post on 08-Mar-2016

215 views

Category:

Documents


2 download

DESCRIPTION

Education brings out the knowledge of a person. The purpose of education is to ask question “why”. The answer leads to the question “how”. Where these questions leads to the questions, it leads to ivilization. What is happiness? Feeling of pleasure, joy, satisfaction etc. In this paper we discuss about how education leads to happiness. First section gives the information about education. Second section about the concept of the problem. Third section gives the graph and solution by automata theory. Final section conclusion based on our study.

TRANSCRIPT

Page 1: Education Leads to Happiness Using Automata Theory

Indo-Bhutan International Conference On Gross National Happiness Vol 02, October 2013 Pages: 245-249

International Journal of Business Intelligents (IJBI) 245 www.ijbui.com

Education Leads to Happiness Using Automata Theory

A.Victor Devadoss1, M.Clement Joe Anand2, J.Maria Roy Felix3, J.Juliet Mary4 1Head & Associate Professor, Department of Mathematics, Loyola College, Chennai-34, India

2Ph.D Research Scholar, Department of Mathematics, Loyola College, Chennai-34, India 3Assistant Professor, Department of Mathematics, Loyola College, Chennai-34, India

4M.Sc Mathematics, Department of Mathematics, Loyola College, Chennai-34, India.

Abstract Education brings out the knowledge of a person. The purpose of education is to ask question “why”. The answer leads to the question “how”. Where these questions leads to the questions, it leads to ivilization. What is happiness? Feeling of pleasure, joy, satisfaction etc. In this paper we discuss about how education leads to happiness. First section gives the information about education. Second section about the concept of the problem. Third section gives the graph and solution by automata theory. Final section conclusion based on our study. 1.Introduction: “If the only tool you have is a hammer, you tend to see every problem as a nail” by Abraham Maslow. Investment in education is investment in national happiness. All the literate are not educated and also some illiterates are educated. Rationalising the difference between good & evil, right & wrong, just & unjust are educators. “Do not train children to learning by force and harshness, but direct them to it by what amuses their minds, so that you may be better able to discover with accuracy the peculiar bent of the genius of each” by Plato.“Count your age by friends, not years. Count your life by smiles, not tears” by John Lennon. In mathematical problem, when we solve problems, we get many result. But we choose the best result. As like mathematics, life also give two solution good and bad solution. If we choose good Solution, we get happiness. Let us consider mathematical problem as life problem. “People are often unreasonable and self-centered. Forgive them anyway. If you are kind, people may accuse you of ulterior motives. Be kind anyway. If you are honest, people may cheat you. Be honest anyway. If you find happiness, people may be jealous. Be happy anyway. The good you do today may be forgotten tomorrow. Do good anyway. Give the world the best you have and it may never be enough. Give your best anyway.

For you see, in the end, it is between you and God. It was never between you and them anyway.” By Mother Teresa. 2.Concept of the Problem: Let us analyse the solution “happiness” by using graph theory and automata theory. Let 푣 , 푣 , … . 푣 be the vertices which indicates purpose of education. And 푣 be the vertex denote “happiness”. 2.1. 풗ퟏ:The implement of value based education: In schools & colleges, we study lot of concepts, implementing the concepts in life leads to happiness. Schools provide space for growth both physically and mentally. The study of moral and ethical values that makes us a perfect human being. In value education, as in any other area of education, what is asked of the teacher is a total commitment to the development of rational autonomy in both thought and action. It should be noted that the most important aspect of value education consists not in unwilling adherence to a set of rules and regulations but in the building and strengthening of positive sentiments for people and ideals. Value education should however, prepare individuals for participation in social life and acceptance of social rules. What is more important in value education is that schools should provide a healthy climate for

Page 2: Education Leads to Happiness Using Automata Theory

Indo-Bhutan International Conference On Gross National Happiness Vol 02, October 2013 Pages: 245-249

International Journal of Business Intelligents (IJBI) 246 www.ijbui.com

sharing responsibilities, community life and relationships that prevailed for generations. 2.2.풗ퟐ: Professional Techniques: In today’s life, many teaching aids & techniques helps to strength visual learning. We can do a work in short term with less mind work. Communication technologies that increase access to faculty members, help them share useful resources, and provide for joint problem solving and shared learning can usefully augment face-to-face contact in and outside of class meetings. By putting in place a more “distant” source of information and guidance for students, such technologies can strengthen faculty interactions with all students, but especially with shy students who are reluctant to ask questions or challenge the teacher directly. It is often easier to discuss values and personal concerns in writing than orally, since inadvertent or ambiguous nonverbal signals are not so dominant. As the number of commuting part-time students and adult learners increases, technologies provide opportunities for interaction not possible when students come to class and leave soon afterward to meet work or family responsibilities. The biggest success story in this realm has been that of time-delayed (asynchronous) communication. 2.3.풗ퟑ: Performance of Teaching and Appearance: Listeners tend to be attentive to the speaker, if he/she is attractive in appearance. We all judge people on appearance. As much as people try to judge on person on their actual characteristics, appearance is one of the first things we notice, and we use this sensory information to form an immediate impression of that person. Teachers, like everyone else in society, have different attire to others. Some are more formal than others in full suits, others more casual; and some dressed according to what subject they teach (for example PT teachers wearing sports-wear).

2.4.풗ퟒ: Education Leads to a Disciplined and Systematic Life: Today we come to class in time and maintain silence. We also write tests and read regularly. This code of conduct leads to a disciplined systematic life, which in turn provides a planned and structured way of life. For many people leading a systematic life seems to be hard and futile at first. But the fact is that a systematic life style contributes to a person's health, wealth and improves his productivity. It enables people to get more out of their daily life and manage their day-to-day activities with less effort and productively. A systematic person lives long. To maintain a systematic life style you need to have a calm mind. Maintaining a calm mind in this chaotic world is really a challenge for many, but it is not impossible. By learning how to control your emotions and feelings, you can be a better person. A Systematic person seldom fails to meet important goals in life. He can analyze every task better than others and could come out with practical solutions for many lingering issues. 2.5. 풗ퟓ:Social Service: A lot many people work for the betterment of society. They educate people for a very low pay. Their aim is higher literacy than personal benfit. Many teachers have expressed their appreciation for cultivating these cognitive skills as they introduce new learnings. One effective strategy is to make the content relevant and meaningful within the framework of a student’s social, emotional, and physical development. As students take in new information (listening and/or reading), teachers are strongly advised to avoid “mindless drilling... [but] to include opportunities to learn new material about the world and to connect to prior knowledge wherever possible.”. 2.6:풗ퟔ:Basic Knowledge: Several Computer Enthusiasts Repair Computers without formal education, but the work is completed successfully. Knowledge

Page 3: Education Leads to Happiness Using Automata Theory

Indo-Bhutan International Conference On Gross National Happiness Vol 02, October 2013 Pages: 245-249

International Journal of Business Intelligents (IJBI) 247 www.ijbui.com

surveys help to impart several of the five basic elements of cooperative learning. Aaccountability includes the critical ability of individuals to be able to accurately assess their own level of preparedness or lack thereof. When a course has detailed disclosure, students more readily know when they have deficiencies, making them more receptive to engaging in positive interdependence, primitive interaction and group processing to overcome deficiencies. Pre-course knowledge survey results provide the information needed to form heterogeneous cooperative groups composed of members with known, varied abilities. 2.7.풗ퟕ:Good Infrastructure Leads To Happiness: Schools and colleges equipped with advanced teaching aids support better learning. Good infrastructure and necessary materials should promote learning, and that, the completion of school buildings is paramount to quality education in the country. Learning is not a spectator sport. Students do not learn much just sitting in classes listening to teachers, memorizing pre-packaged assignments and spitting out answers. They must talk about what they are learning, write about it, relate it to past experiences, and apply it to their daily lives. They must make what they learn part of themselves. 2.8. 풗ퟖ:Discussion With Friends: Friends are a vital part of one’s development, as much as teachers are. They help during crisis and help attain a sense of belonging. We all know the old saying, “You only get one chance to make a first impression.” Explain this to your child, and discuss what type of impression he wants to make, not only with classmates, but also with teachers. Remind him to be friendly, make eye contact and listen when others are talking, and pay attention in class. Being comfortable with the way others view him will help your child feel better about this new situation.

3. Solution: If there is relation between two vertexes, experts put one for the relation. Otherwise zero. We connect the adjacent points. 푣 푣 푣 푣 푣 푣 푣 푣 푣

1

2

3

4

5

6

7

8

9

1 1 0 1 1 1 1 0 11 1 0 0 0 1 1 0 10 0 1 0 1 0 1 0 11 0 0 1 0 0 1 0 11 1 1 0 1 0 0 1 10 1 1 0 0 1 0 0 11 0 1 0 0 0 1 0 10 0 1 0 1 0 0 1 11 1 1 1 1 1 1 1 1

vvvvvvvvv

3.2.NFA:

1

1 2 9

9

{ , , , , }{ , ,..... }{0,1}{ }

M Q v FQ v v v

F v

Page 4: Education Leads to Happiness Using Automata Theory

Indo-Bhutan International Conference On Gross National Happiness Vol 02, October 2013 Pages: 245-249

International Journal of Business Intelligents (IJBI) 248 www.ijbui.com

Production Rule: 0 1

1v { 3v , 8v } { 1v , 2v , 4v , 5v ,

6v , 7v , 9v }

2v { 3v , 4v , 5v , 8v } { 1v , 2v , 6v , 7v ,

9v }

3v { 1v , 2v , 4v , 6v , 8v } { 3v , 5v , 7v , 9v }

4v { 2v , 3v , 5v , 6v , 8v } { 1v , 4v , 7v , 9v }

5v { 4v , 6v , 7v } { 1v , 2v , 3v , 5v ,

8v , 9v }

6v { 1v , 4v , 5v , 7v , 8v } { 2v , 3v , 6v , 9v }

7v { 2v , 4v , 5v , 6v , 8v } { 1v , 3v , 7v , 9v }

8v { 1v , 2v , 4v , 6v , 7v } { 3v , 5v , 8v , 9v }

9v

{ 1v , 2v , 3v , 4v ,

5v , 6v , 7v , 8v ,}

3.3.Example:

1 3 8( ,0011) ( ,011) ( ,011)v v v

1 2 4( ,11) ( ,11) ( ,11)v v v

6 9( ,11)....... ( ,11)v v

1 2 4( ,1) ( ,1) ( ,1)v v v

5 6

7 9

( ,1) ( ,1)

( ,1)...... ( ,1)

v v

v v

1 2 9{ , .... }v v v F Conclusion: Thus the theme of happiness is acquired through the idea implied by automata. The advancement of infrastructure with new technology provides a better knowledge. School choice is one of the cornerstones of this foundation. Only under school choice programs will you see long-lasting, sustainable reforms as education becomes more consumer-

oriented. As school administrators begin to view their institutions as serving students and parents rather than as serving boards and bureaucracies, change is swift and meaningful. As parents are given more freedom to select educational environments for their children, they become savvier and more involved consumers. Reference: [1].Hopcroft, J., & Ullman, J. (1979). Introduction to Automata Theory, Languages, and Computation. Addison Wesley. [2].Gold, E. M. (1978). Complexity of Automaton Identi_cation from Given Data. Information and Control, 37(3), 302 to 320. [3].Kearns, M., & Valiant, L. G. (May 1989). Cryptographic Limitations on Learning Boolean Formulae and Finite Automata. Pages 433{444 of: Proceedings of the 21st Annual ACM Symposium on Theory of Computing. ACM, New York. [4].Lang, K. J. (1992). Random DFA's can be approximately learned from sparse uniform sample. Pages 45-52 of: Proceedings of the 5th ACM workshop on Computational Learning Theory. [5].Pitt, L. (1989). Inductive Inference, DFAs and Computational Complexity. Pages 18{44 of: Analogical and Inductive Inference, Lecture Notes in Arti_cial Intelligence 397. Springer-Verlag. [6].Trakhtenbrot, B., & Barzdin, Ya. (1973). Finite Automata: Behavior and Synthesis. Amsterdam: North Holland Publishing Company. [7].Valiant, L. (1984). A Theory of the Learnable. Communications of the ACM, 27, 1134-1142. [8].Diener, E., & Suh, E. (1997). Measuring quality of life: Economic, social, and subjective indicators. Social Indicators Research, 40, 189–216. [9]Duda, J. L. (1992). ivation in sport settings: A goal perspective approach. In G. C. Roberts (Ed.), Motivation in sport and exercise (pp. 57–91). Champaign, IL:Human Kinetics Books.

Page 5: Education Leads to Happiness Using Automata Theory

Indo-Bhutan International Conference On Gross National Happiness Vol 02, October 2013 Pages: 245-249

International Journal of Business Intelligents (IJBI) 249 www.ijbui.com

[10]Dweck, C. S., & Leggett, E. L. (1988). A social-cognitive approach to motivation and personality. Psychological Review, 95, 256–273.

[11]Fielding, D. (2002). Health and wealth: A structural model of social and economic development. Review of Development Economics, 6(3), 393–414.