Thursday, October 31, 2019

Paul Cezannes Modulated Primitivism Essay Example | Topics and Well Written Essays - 2500 words

Paul Cezannes Modulated Primitivism - Essay Example The essay "Paul Cezanne’s Modulated Primitivism" discovers the art of Paul Cezanne and the Primitivism. Although living during the period of the impressionists, he went beyond their paradigms to create what he called â€Å"something more solid and durable, like the art of the museums.'' Cezanne professed his ideas on primitivism when he wrote: "Primary force alone, id est temperament, can bring a person to the end he must attain." He expresses this with emphasis on attainability of the primitive and basic in nature. Some define the primitive as a starting point rather than a point beyond what is now known to exist in culture and tradition. It anchors itself on the basic and concrete grounds for existence. His unique style can be given basis through the works of Gauguin who focused on a form of primitivism in his art, depicting life as it was in nineteenth century Tahiti. To gain a better understanding of Cezanne’s form of primitivism, modulated primitivism as it was. I t is important to understand the concept and its context during the artist’s lifetime. In this regard, Gauguin’s works would provide an ideal basis in explaining the works of Paul Cezanne. Primitivism is an ancient concept which can be distinguished as chronological primitivism and cultural primitivism. Both concepts are positive with the one engaged with the philosophy of history and period of time in the local culture when the when the best situation of human life might have happened; and the other dealing the discontent of contemporary society. with civilisation, and stipulating that simplicity (often exemplified by a distant and separate culture because civilised men do not call themselves primitive) are more desirable than what exists in the present. These concepts reached their height during the eighteenth century with large followings on the nobility of the savage. Writings by Rousseau in France and Herder in Germany made the concept of the noble savage popular in Europe during this period. It was in the nineteenth century that the utopian ideas of this concept wee tainted by the expansion for empire and subsequent missionary works. The positive connotations of primitivism were replaced by the ideas of "barbaric" and "savage". The nobility ensconced in the literary concept of the noble savage was expunged and replaced by the image of real savages which was less desirable and more to be feared. Missionaries capitalised on the paganism, violence and vices of their new native wards and potential converts. These negative traits were highlighted by both Protestant and Catholic missionaries alike. The death of missionary John Williams in 1839 further tainted the image associated with native populations. In 1843, an engraving that was printed in the Illustrated London News showed Polynesians in the midst of an unspeakable and idolatrous religious ceremony. The Polynesians were a new addition to the French colonies and William Vaughan commented that their diet of rats was perhaps "a mindless imitation of their frog-eating masters." Thus began the classification that primitive peoples not merely as separate from, but are of a completely different species from the white man. These new representations illustrate them as having a completely different path of development from their more superior European counterparts. In the 1840s, the Natural History of Society written by William Cook Taylor stipulated that white society was in constant struggle to return to perfection, while primitive cultures were taking the opposite direction towards

Tuesday, October 29, 2019

Cooperative learning groups Essay Example | Topics and Well Written Essays - 2750 words

Cooperative learning groups - Essay Example The researcher states that scholars, educators, and school officials have become more and more interested in students’ performance in mathematics. Several studies have reported that, starting from middle school, girls are prone to develop more unconstructive attitudes towards math and score low on standardized exams. Moreover, a significant relationship has been found between performance and attitudes. Certain factors that are associated with performance of students in math comprise learning experiences, sense of belongingness, racial or ethnic affiliation, gender, self-worth, stereotyping and attitudes. National Council of Teachers of Mathematics claimed that instruction, competent educators, high expectations and equity should be awarded to every learner. By doing so, performance of students in math has a better chance to progress. The topics crucial for every student are usually included in Geometry, Algebra I and Algebra II subjects. However, only 62 percent of the overall population of high school graduates in 2000 finished three years of math in a manner that successfully introduced them to this integral content. This figure implies that students are not gaining the knowledge and proficiency they should possess to perform well in the world outside schooling. In fact, of roughly 70% pupils who promptly advance to college, approximately 28% should enroll in refresher or remedial programs in math or English. Moreover, a significant number of fourth grade and eight grade students poorly performed in the National Assessment of Educational Progress (NAEP) in 2003. (DiMaggio, 2001, p. 5). Every state that participated in the NAEP 4th grade math assessment test in 2000 and 2003 reported improvements in mean scores. Among the states that participated in the NAEP 8th grade assessment test in 2000 and 2003, the mean scores improved in numerous states (DiMaggio, 2001, p. 5). In a nutshell, the mean scores at all grade levels improved. Such progress is inspirin g and rewarding but the scores still show the unsatisfactory outcome of collaborative attempts to greatly improve the performance of all students. To sum up, the performance of students in math is not where they should be when measured up to the nation’s standards, the achievement levels of their international counterparts and their capacity to function well beyond high school (Strebe, 2009). The nation needs individuals that is capable of performing in the contemporary world, which implies that new teaching and learning strategies are needed to achieve the desired outcomes in math and other major subjects. Cooperative Learning Groups Learning has traditionally been focused on ‘competition’, hence, the emergence of cooperative learning. Cooperative learning is a model of instruction where small groups composed of learners of distinct capability levels team up to achieve common objectives and take full advantage of their potentials. Cooperative learning facilitate s individual responsibility within the framework of cooperation or group dynamics (Williams, 2002). Teamwork is an important component of the attainment of learning objectives of the course. In the context of cooperative learning, the learning is planned and organized to ensure that learning is actually occurring (Kagan, 1994). The teacher picks the groups to think about a multitude of perspectives, capabilities, ethnic/racial affiliations, gender and other attributes. Furthermore, cooperative learning builds a classroom partnership and harmonizes individual responsibility and interdependence. Because the task of the group is incomplete until every member has accurately and clearly understood the topic, every student is contributing to the attainment of a shared objective. With every student accountable to a specific part of the

Sunday, October 27, 2019

Factors Influencing Mental Illness Rates in Pakistan

Factors Influencing Mental Illness Rates in Pakistan Introduction At the 13th year of her life, she was worried due to the recently started bleeding from her vaginal area without any manifested injury. She ran to her mother and asked that what is happening to her. Her mother scolded and asked her to put some piece of cloth over there so that the bleeding nobody could notice the bleeding as it would be a source of embarrassment for the family and for the girl herself. Her mother then sent her to a special house which was full of menstruating girls and pregnant women. This is the story of 13 years old Huran Bibi from Kalash valley of Chitral, who was one of the members of Bashalani(the house built specially for the menstruating and pregnant women.) The cultural view of Kalash people is based on the concept of purity and menstruating and pregnant women are considered impure as per their cultural beliefs. Being a girl from a primitive culture I always thought to explore the different strong and weak parts of our culture which may impact the mental heal th of people in a healthy or unhealthy way respectively. The reason for choosing this topic is the trial to understand the impacts of our culture on our mental health. Numerous studies have been conducted on relationship between Culture and mental health. Mostly, the concept of being well or sick is well-defined according to the cultural background, cultural beliefs and cultural practices used by a specific group. defined culture in relations of objective components (houses and tools) and subjective components such as societal norms, roles, dogmas, and principles, further argued that culture is a dynamic practice designed by an individual’s commitment within their social set-up. Pumariega, explained culture as a way of life which includes traditions and customs. These customs transmitted through learning and play a vital role in molding the beliefs and behaviors of the people exposed to them. Generally, people in social groupings who share same religion, children and adolescents who play together and adults who work in same professions have their own cultural beliefs and practices.Culture is largely defined as a collective tradition or fixed dogmas, standards, and ethics. Culture frequently changes and is influenced both by the views of people and the burdens of their surroundings. People are bound to their customs and traditions because they think that their ancestors have transferred these practices to them so these practices are to be preserved for their future generations. Body Different cultures have different practices and beliefs regarding mental illnesses. In some cultures mental illness is thought to be the result of bad deeds and going against almighty Allah. In addition to that, a concept of bad evil entrance into the body is also found in few cultures. For the treatment of those mentally ill patients people incorporate religious/spiritual treatment. Sometimes religious treatment enhances coping mechanism of mentally ill patients but sometimes its themes may incorporate into religious delusions. Prevalence of Mental Illness in Pakistan explained the prevalence of anxiety and depressive disorders in Pakistan was 34% out of which 29-66%women were affected and 10-33% men were affected. Furthermore, the study also highlights the prevalence of pediatric mental disorders which was found to be15.8% in Pakistan. studied the prevalence of anxiety, depression and their associated factors on medical students in different institutions of Karachi .Approximately 70% of students were suffered by anxiety and depression. Among 70% about 59% of the students were female and 43% students were Urdu speaking. Causes and outcomes Cultural beliefs and traditional practices are the root cause of mental illnesses and mental disorders. Referring to the scenario, the cultural practices and beliefs of purity made the little girl isolated from the society. Living away from family once in a month makes the girl feel guilty and being an alien to her. Not having a bath till the menstruation period ends make the young girl to think of being untouchable and lowers self-esteem. Such kinds of practices can lead to social isolation or depression with many other mental health problems. Similarly many other traditional practices are found in our culture which influence our mental health such as gender based violence, divorce, forced and early marriages, domestic violence, son preferences, concept of being virgin, duty to be obedient, polygamy and honor killing. Furthermore acculturation is also known cause of mental illnesses in immigrants and ethnic minorities. Gender based violence/ domestic violence., a total of 8,548 cases of gender based violence were reported.In addition to that, the duty of obedience is considered as the main cause of spouse abuse. A lifetime incidence rates of wife abuse in global range is from 16% to 50% .Disobedience and clashes with the in-laws are specifically the major causes which explain wife abuse. Women are thus advised to forgive or say sorry in order to safeguard their kids and their home. Abused women are more prone to mental disorders namely self-inflicted injuries, sleep or appetite disorders, and suicidal attempts. Depression is the most common mental disorder in abused women. Divorce. It is a process of breaking marital relationships due to many reasons including cultural incompatibility of women and her husband family. It is the most stressful condition for husband as well as for wife. When a women is given divorced then it is thought to be a very shameful act for women because the low status of women in Pakistani culture. On the basis of this, society labeled women with bad deeds and bad character. This stigma leads to discrimination and women end up with severe mental illnesses like schizophrenia, depression, fear even commit suicide. Polygamy. Polygamy is officially permitted in the Islamic tradition which is definitely a stress for women. polygamy appears to increase exposure to psychiatric disorders in the wife; of those in monogamous marriages, 17.8% were cases, in contrast to 39.1% of women in polygamous marriages. declared Polygamy as a high tensioned condition triggering a neurotic anxiety, and in severe cases somewhat serious mental disease. Honor killing explained that in some Islamic societies, the only way to cleanse the family honor is to kill the â€Å"offending† woman or girl. Depression and a number of anxiety disorders, somatoform and eating disorders, or suicide attempts are the most common psychiatric situation in Islamic women. The duty to be a virgin. According to the loss of virginity is thought to be equated with young women worth. So losing virginity is the major reason of suicidal behavior in teenagers. They are also in threat of being killed by a father, brother, uncle or cousin in order to restore the familys honor and place in the community. As a result to the duty of virginity, illegal pregnancies are severely fated and are related with several social problems (running away from the family/home, aggression towards these girls by their own parents, or even homicide) with a high occurrence of depressive and anxiety reactions with suicidal behavior. Imposed marriage/early marriage. Traditionally, it is expected from a daughter to shy away from expressing her wishes and her parents are responsible to decide for her. An arranged marriage is the decision of parents to select a life partner for their daughter, often with either a cousin or someone completely unknown before the marriage. This can lead to depression, anxiety, fear and isolation. Acculturation. Unfavorable and shocking life experiences can change the brain chemistry of the people e.g., migration from one country to another for many reasons such as natural disaster, education or job opportunities. This can give the concept of acculturation in which culture-of-origin and host cultural characteristics can disagree autonomously. Furthermore, acculturation is a dual process of cultural and psychological change that takes place as a result of contact between two or more cultural groups and their individual members. Acculturation may assists daily social interaction and encourages management opportunities. Conversely, it may escalate tension or clash between two opposing cultures or can be related with a decrease in family support. Conclusion In conclusion, some cultural beliefs and practices are leading to mental illnesses such as, the concept of keeping a menstruating girl in a separate house without taking bath till menstruating period ends. Likewise, gender based violence including domestic violence, rape cases, abusing women at home as well as on work place can be the leading cause of mental illness in women. In some cultures it is the responsibility of parents to take decisions of selecting life partners for their daughters which mostly results in cultural incompatibility and domestic violence. Furthermore, marrying more than one woman or separation from an intimate relationship can increase the risk for mental health disorders. Honor killing and being not virgin are interrelated to each other in which the only solution to cleans the family honor is to kill the offending girl which includes virginity also.

Friday, October 25, 2019

Criticisms of Jane Eyre Essay -- Jane Eyre

Criticisms of Jane Eyre The major criticisms of the novel in question to be the melodrama used by the author and the wickedness of character shown in Jane and Mr. Rochester. While most critics admired the style of writing and truth of character portrayal, they did not admire the improbability of circumstances or the characters portrayed. Elizabeth Rigby (later Lady Eastlake) was probably the harshest critic, calling Jane Eyre â€Å"the personification of an unregenerate and undisciplined spirit.† Rigby strongly believed that, while Jane was portrayed with a great degree of accuracy, she was herself a flawed person. By making a flawed person interesting, Rigby alleged, the author was committing the greatest of wrongs. As to Jane’s character, Rigby’s main criticism was that Jane was unchristian. â€Å"Altogether the auto-biography of Jane Eyre is pre-eminently an anti-Christian composition. There is throughout it a murmuring against the comforts of the rich and against the privations of the poor, which, as far as each individual is concerned, is a murmuring against God's appointment—there is a proud and perpetual assertion of the rights of man, for which we find no authority either in God's word or in God's providence—there is that pervading tone of ungodly discontent which is at once the most prominent and most subtle evil which the law and the pulpit, which all civilized society in fact has at the present day to contend with. We do not hesitate to say that the tone of mind and thought which has overthrown authority and violated every code human and divine abroad, and fostered Chartism and rebellion at home, is the same which has also written Jane Eyre.† She expressed the popular sentiment of the time that Jane’s di... ... of Jane Eyre supporters. Bibliography of Works Used 1. Bronte, Charlotte. Jane Eyre: A Norton Critical Edition 3rd ed. Richard J. Dunn Ed. WW Norton & Co. : New York, 2001 2. "Review of Jane Eyre, by Charlotte Bronte." Critic (Oct. 1847): 277-8. 3. "Review of Jane Eyre, by Charlotte Bronte." Graham’s Magazine (May 1848): 299. 4. "Rev. of Jane Eyre, by Charlotte Bronte." Living Age (from the Christian Remembrancer) (1848): 481-7. 5. "Review of Jane Eyre." Spectator. (Nov. 1847): 1074-5. 6. "U. Review of Jane Eyre, by Charlotte Bronte." Harbinger (April 1848): 189. 7. "Unsigned Review of Jane Eyre." Douglas Jerrold’s Shilling Magazine (Nov. 1847): 470-474. 8. Lewes, George Henry, "Recent Novels: French and English." Fraser’s Magazine (Dec. 1947): 689-95. 9. Rigby, Elizabeth, "Vanity Fair—and Jane Eyre." Quarterly Review (Dec. 1848): 153-185.

Thursday, October 24, 2019

Enriching Learning Experience

ENRICHING LEARNING EXPERIENCES Karen Michelle E. Caparos Teaching strategies, learner’s activities and instructional materials really helped in an effective learning process. There are a lot of teaching strategies that caters different kinds of learners and the strategies that will be used vary upon the teacher. Also, there are a lot of activities that a teacher can motivate his/her class to engage into. The instructional materials must be also suited to the activity that will be given.According to Vygotsky (1981), mental functions are acquired through social relationship; learning takes place when the child interacts with peers and adults in a social setting as they act upon the environment. The facilitator of learning must provide meaningful and interactive activities that allow a child to internalize, exposing them to new situation to actively interact with others, engaging in functional and interesting learning experiences. He should give thinking activities, social functi ons of reading and writing activities, and communicative functions of language.Through Vygotsky’s theory, the learning takes place in participating in oral discussion and involving oneself in activities that students will not only learn from the teacher but also learn from the students around them. Knowledge on the stages of development facilitated learning through giving the appropriate activities to the child/ class. Once the teacher knows how to make the learning process enjoyable and interesting it will never make the learner feel afraid, uneasy, and uncomfortable in the class. Thus, it will be a way in order to produce a healthy and conducive atmosphere for learning.

Wednesday, October 23, 2019

Foundation’s Edge CHAPTER FOUR SPACE

SPACE The ship looked even more impressive than Trevize – with his memories of the time when the new cruiser-class had been glowingly publicized – had expected. It was not the size that was impressive – for it was rather small. It was designed for maneuverability and speed, for totally gravitic engines, and most of all for advanced computerization. It didn't need size – size would have defeated its purpose. It was a one-man device that could replace, with advantage, the older ships that required a crew of a dozen or more. With a second or even a third person to establish shifts of duty, one such ship could fight off a flotilla of much larger non-Foundation ships. In addition, it could outspeed and escape from any other ship in existence. There was a sleekness about it – not a wasted line, not a superfluous curve inside or out. Every cubic meter of volume was used to its maximum, so as to leave a paradoxical aura of spaciousness within. Nothing the Mayor might have said about the importance of his mission could have impressed Trevize more than the ship with which he was asked to perform it. Branno the Bronze, he thought with chagrin, had maneuvered him into a dangerous mission of the greatest significance. He might not have accepted with such determination had she not so arranged matters that he wanted to show her what he could do. As for Pelorat, he was transported with wonder. â€Å"Would you believe,† he said, placing a gentle finger on the hull before he had climbed inside, â€Å"that I've never been close to a spaceship?† â€Å"I'll believe it, of course, if you say so, Professor, but how did you manage it?† â€Å"I scarcely know, to be honest with you, dear fel – , I mean, my dear Trevize. I presume I was overly concerned with my research. When one's home has a really excellent computer capable of reaching other computers anywhere in the Galaxy, one scarcely needs to budge, you know. – Somehow I expected spaceships to be larger than this.† â€Å"This is a small model, but even so, it's much larger inside than any other ship of this size.† â€Å"How can that be? You are making fun of my ignorance.† â€Å"No, no. I'm serious. This is one of the first ships to be completely graviticized.† â€Å"What does that mean? – But please don't explain if it requires extensive physics. I will take your word, as you took mine yesterday in connection with the single species of humanity and the single world of origin.† â€Å"Let's try, Professor Pelorat. Through all the thousands of years of space flight, we've had chemical motors and ionic motors and hyperatomic motors, and all these things have been bulky. The old Imperial Navy had ships five hundred meters long with no more living space in them than would fit into a small apartment. Fortunately the Foundation has specialized in miniaturization through all the centuries of its existence, thanks to its lack of material resources. This ship is the culmination. It makes use of antigravity and the device that makes that possible takes up virtually no space and is actually included in the hull. If it weren't that we still need the hyperatomic†¦Ã¢â‚¬  A Security guard approached. â€Å"You will have to get on, gentlemen!† The sky was grooving light, though sunrise was still half an hour off. Trevize looked about. â€Å"Is my baggage loaded?† â€Å"Yes, Councilman, you will find the ship fully equipped.† â€Å"With clothing, I suppose, that is not my size or to my taste.† The guard smiled, quite suddenly and almost boyishly. â€Å"I think it is,† he said. â€Å"The Mayor had us working overtime these last thirty or forty hours and we've matched what you had closely. Money no object. Listen,† he looked about as though to make sure no one noticed his sudden fraternization, â€Å"you two are lucky. Best ship in the world. Fully equipped, except for armament. You're swimming in cream.† â€Å"Sour cream, possibly,† said Trevize. â€Å"Well, Professor, are you ready?† â€Å"With this I am,† Pelorat said and held up a square wafer about twenty centimeters to the side and encased in a jacket of silvery plastic. Trevize was suddenly aware that Pelorat had been holding it since they had left his home, shifting it from hand to hand and never putting it down, even when they had stopped for a quick breakfast. â€Å"What's that, Professor?† â€Å"My library. It's indexed by subject matter and origin and I've gotten it all into one wafer. If you think this ship is a marvel, how about this wafer? A whole library! Everything I have collected! Wonderful! Wonderful!† â€Å"Well,† said Trevize, â€Å"we are swimming in cream.† Trevize marveled at the inside of the ship. The utilization of space was ingenious. There was a storeroom, with supplies of food, clothing, films, and games. There was a gym, a parlor, and two nearly identical bedrooms. â€Å"This one,† said Trevize, â€Å"must be yours, Professor. At least, it contains an FX Reader.† â€Å"Good,† said Pelorat with satisfaction. â€Å"What an ass I have been to avoid space flight as I have. I could live here, my dear Trevize, in utter satisfaction.† â€Å"Roomier than I expected,† said Trevize with pleasure. â€Å"And the engines are really in the hull, as you said?† â€Å"The controlling devices are, at any rate. We don't have to store fuel or make use of it on the spot. We're making use of the fundamental energy store of the Universe, so that the fuel and the engines are all – out there.† He gestured vaguely. â€Å"Well, now that I think of it – what if something goes wrong?† Trevize shrugged. â€Å"I've been trained in space navigation, but not on these ships. If something goes wrong with the gravitics, I'm afraid there's nothing I can do about it.† â€Å"But can you run this ship? Pilot it?† â€Å"I'm wondering that myself.† Pelorat said, â€Å"Do you suppose this is an automated ship? Might we not merely be passengers? We might simply be expected to sit here.† â€Å"They have such things in the case of ferries between planets and space stations within a stellar system, but I never heard of automated hyperspace travel. At least, not so far. – Not so far.† He looked about again and there was a trickle of apprehension within him. Had that harridan Mayor managed to maneuver that far ahead of him? Had the Foundation automated interstellar travel, too, and was he going to be deposited on Trantor quite against his will, and with no more to say about it than any of the rest of the furniture aboard ship? He said with a cheerful animation he didn't feel, â€Å"Professor, you sit down. The Mayor said this ship was completely computerized. If your room has the FX Reader, mine ought to have a computer in it. Make yourself comfortable and let me look around a bit on my own. Pelorat looked instantly anxious. â€Å"Trevize, my dear chap. You're not getting off the ship, are you?† â€Å"Not my plan at all, Professor. And if I tried, you can count on my being stopped. It is not the Mayor's intention to allow me off. All I'm planning to do is to learn what operates the Far Star.† He smiled, â€Å"I won't desert you, Professor.† He was still smiling as he entered, what he felt to be his own bedroom, but his face grew sober as he closed the door softly behind him. Surely there must be some means of communicating with a planet in the neighborhood of the ship. It was impossible to imagine a ship deliberately sealed off from its surroundings and, therefore, somewhere – perhaps in a wall recess – there would have to be a Reacher. He could use it to call the Mayor's office to ask about controls. Carefully he inspected the walls, the headboard of the bed, and the neat, smooth furniture. If nothing turned up here, he would go through the rest of the ship. He was about to turn away when his eye caught a glint of light on the smooth, light brown surface of the desk. A round circle of light, with neat lettering that read: COMPUTER INSTRUCTIONS. Ah! Nevertheless his heart beat rapidly. There were computers and computers, and there were programs that took a long time to master. Trevize had never made the mistake of underestimating his own intelligence, but, on the other hand, he was not a Grand Master. There were those who had a knack for using a computer, and those who had not – and Trevize knew very well into which class he fell. In his hitch in the Foundation Navy, he had reached the rank of lieutenant and had, on occasion, been officer of the day and had had occasion to use the ship's computer. He had never been in sole charge of it, however, and he had never been expected to know anything more than the routine maneuvers being officer of the day required. He remembered, with a sinking feeling, the volumes taken up by a fully described program in printout, and he could recall the behavior of Technical Sergeant Krasnet at the console of the ship's computer. He played it as though it were the most complex musical instrument in the Galaxy, and did it all with an air of nonchalance, as though he were bored at its simplicity – yet even he had had to consult the volumes at times, swearing at himself in embarrassment. Hesitantly Trevize placed a finger on the circle of light and at once the light spread out to cover the desk top. On it were the outline of two hands: a right and a left. With a sudden, smooth movement, the desk top tilted to an angle of forty-five degrees. Trevize took the seat before the desk. No words were necessary. It was clear what he was expected to do. He placed his hands on the outlines on the desk, which were positioned for him to do so without strain. The desk top seemed soft, nearly velvety, where he touched it – and his hands sank in. He stared at his hands with astonishment, for they had not sunk in at all. They were on the surface, his eyes told him. Yet to his sense of touch it was as though the desk surface had given way, and as though something were holding his hands softly and warmly. Was that all? Now what? He looked about and then closed his eyes in response to a suggestion. He had heard nothing. He had heard nothing! But inside his brain, as though it were a vagrant thought of his own, there was the sentence, â€Å"Please close your eyes. Relax. We will make connection.† Through the hands? Somehow Trevize had always assumed that if one were going to communicate by thought with a computer, it would be through a hood placed over the head and with electrodes against the eyes and skull. The hands? But why not the hands? Trevize found himself floating away, almost drowsy, but with no loss of mental acuity. Why not the hands? The eyes were no more than sense organs. The brain was no more than a central switchboard, encased in bone and removed from the working surface of the body. It was the hands that were the working surface, the hands that felt and manipulated the Universe. Human beings thought with their hands. It was their hands that were the answer of curiosity, that felt and pinched and turned and lifted and hefted. There were animals that had brains of respectable size, but they had no hands and that made all the difference. And as he and the computer held hands, their thinking merged and it no longer mattered whether his eyes were open or closed. Opening them did not improve his vision nor did closing them dim it. Either way, he saw the room with complete clarity – not just in the direction in which he was looking, but all around and above and below. He saw every room in the spaceship and he saw outside as well. The sun had risen and its brightness was dimmed in the morning mist, but he could look at it directly without being dazzled, for the computer automatically filtered the light waves. He felt the gentle wind and its temperature, and the sounds of the world about him. He detected the planet's magnetic field and the tiny electrical charges on the wall of the ship. He became aware of the controls of the ship, without even knowing what they were in detail. He knew only that if he wanted to lift the ship, or turn it, or accelerate it, or make use of any of its abilities, the process was the same as that of performing the analogous process to his body. He had but to use his will. Yet his will was not unalloyed. The computer itself could override. At the present moment, there was a formed sentence in his head and he knew exactly when and how the ship would take off. There was no flexibility where that was concerned. Thereafter, he knew just as surely, he would himself he able to deride. He found – as he cast the net of his computer – enhanced consciousness outward – that he could sense the condition of the upper atmosphere; that he could see the weather patterns; that he could detect the other ships that were swarming upward and the others that were settling downward. All of this had to be taken into ac, count and the computer was taking it into account. If the computer had not been doing so, Trevize realized, he need only desire the computer to do so – and it would be done. So much for the volumes of programming; there were none. Trevize thought of Technical Sergeant Krasnet and smiled. He had read often enough of the immense revolution that gravities would make in the world, but the fusion of computer and mind was still a state secret. It would surely produce a still greater revolution. He was aware of time passing. He knew exactly what time it was by Terminus Local and by Galactic Standard. How did he let go? And even as the thought entered his mind, his hands were released and the desk top moved back to its original position – and Trevize was left with his own unaided senses. He felt blind and helpless as though, for a time, he had been held and protected by a superbeing and now was abandoned. Had he not known that he could make contact again at any time, the feeling might have reduced him to tears. As it was he merely struggled for re-orientation, for adjustment to limits, then rose uncertainly to his feet and walked out of the room. Pelorat looked up. He had adjusted his Reader, obviously, and he said, â€Å"It works very well. It has an excellent Search Program. – Did you find the controls, my boy?† â€Å"Yes, Professor. All is well.† â€Å"In that case, shouldn't we do something about takeoff? I mean, self-protection? Aren't we supposed to strap ourselves in or something? I looked about for instructions, but I didn't find anything and that made me nervous. I had to turn to my library. Somehow when I am at my work†¦Ã¢â‚¬  Trevize had been pushing his hands at the professor as though to dam and stop the flood of words. Now he had to speak loudly in order to override him. â€Å"None of that is necessary, Professor. Antigravity is the equivalent of noninertia. There is no feeling of acceleration when velocity changes, since everything on the ship undergoes the change simultaneously.† â€Å"You mean, we won't know when we are off the planet and out in space?† â€Å"It's exactly what I mean, because even as I speak to you, we have taken off. We will be cutting through the upper atmosphere in a very few minutes and within half an hour we will be in outer space.† Pelorat seemed to shrink a little as he stared at Trevize. His long rectangle of a face grew so blank that, without showing any emotion at all, it radiated a vast uneasiness. Then his eyes shifted right – Left. Trevize remembered how he had felt on his own first trip beyond the atmosphere. He said, in as matter-of-fact a manner as he could, â€Å"Janov,† (it was the first time he had addressed the professor familiarly, but in this case experience was addressing inexperience and it was necessary to seem the older of the two) â€Å"we are perfectly safe here. We are in the metal womb of a warship of the Foundation Navy. We are not fully armed, but there is no place in the Galaxy where the name of the Foundation will not protect us. Even if some ship went mad and attacked, we could move out of its reach in a moment. And I assure you I have discovered that I can handle the ship perfectly.† Pelorat said, â€Å"It is the thought, Go-Golan, of nothingness†¦Ã¢â‚¬  â€Å"Why, there's nothingness all about Terminus. There's just a thin layer of very tenuous air between ourselves on the surface and the nothingness just above. Ail we're doing is to go past that inconsequential layer.† â€Å"It may be inconsequential, but we breathe it.† â€Å"We breathe here, too. The air on this ship is cleaner and purer, and will indefinitely remain cleaner and purer than the natural atmosphere of Terminus.† â€Å"And the meteorites?† â€Å"What about meteorites?† â€Å"The atmosphere protects us from meteorites. Radiation, too, for that matter.† Trevize said, â€Å"Humanity has been traveling through space for twenty millennia, I believe†¦Ã¢â‚¬  â€Å"Twenty-two. If we go by the Hallblockian chronology, it is quite plain that, counting the†¦Ã¢â‚¬  â€Å"Enough! Have you heard of meteorite accidents or of radiation deaths? – I mean, recently? – I mean, in the case of Foundation ships?† â€Å"I have not really followed the news in such matters, but I am a historian, my boy, and†¦Ã¢â‚¬  â€Å"Historically, yes, there have been such things, but technology improves. There isn't a meteorite large enough to damage us that can possibly approach us before we take the necessary evasive action. Four meteorites – coming at us simultaneously from the four directions drawn from the vertices of a tetrahedron – might conceivably pin us down, but calculate the chances of that and you'll find that you'll die of old. age a trillion trillion times over before you will have a fifty-fifty chance of observing so interesting a phenomenon.† â€Å"You mean, if you were at the computer?† â€Å"No,† said Trevize in Scorn. â€Å"If I were running the computer on the basis of my own senses and responses, we would be hit before I ever knew what was happening. It is the computer itself that is at work, responding millions of times faster than you or I could.† He held out his hand abruptly. â€Å"Janov, come let me show you what the computer can do, and let me show you what space is like.† Pelorat stared, goggling a bit. Then he laughed briefly. â€Å"I'm not sure I wish to know, Golan.† â€Å"Of course you're not sure, Janov, because you don't know what it is that is waiting there to be known. Chance it! Come! Into my room!† Trevize held the other's hand, half leading him, half drawing him. He said, as he sat down at the computer, â€Å"Have you ever seen the Galaxy, Janov? Have you ever looked at it?† Pelorat said, â€Å"You mean in the sky?† â€Å"Yes, certainly. Where else?† â€Å"I've seen it. Everyone has seen it. If one looks up, one sees it.† â€Å"Have you ever stared at it on a dark, clear night, when the Diamonds are below the horizon?† The â€Å"Diamonds† referred to those few stars that were luminous enough and close enough to shine with moderate brightness in the night sky of Terminus. They were a small group that spanned a width of no more than twenty degrees, and for large parts of the night they were all below the horizon. Aside from he group, there was a scattering of dim stars just barely visible to the unaided eye. There was nothing more but the faint milkiness of the Galaxy – the view one might expect when one dwelt on a world like Terminus which was at the extreme edge of the outermost spiral of the Galaxy. â€Å"I suppose so, but why stare? It's a common sight.† â€Å"Of course it's a common sight,† said Trevize. â€Å"That's why no one sees it. Why see it if you can always see it? But now you'll see it, and not from Terminus, where the mist and the clouds are forever interfering. You'll see it as you'd never see it from Terminus – no matter how you stared, and no matter how clear and dark the night. How I wish I had never been in space before, so that – like you – I could see the Galaxy in its bare beauty for the first time.† He pushed a chair in Pelorat's direction. â€Å"Sit there, Janov. This may take a little time. I have to continue to grow accustomed to the computer. From what I've already felt, I know the viewing is holographic, so we won't need a screen of any sort. It makes direct contact with my brain, but I think I can have it produce an objective image that you will see, too. – Put out the light, will you? – No, that's foolish of me. I'll have the computer do it. Stay where you are.† Trevize made contact with the computer, holding hands warmly and intimately. The light dimmed, then went out completely, and in the darkness, Pelorat stirred. Trevize said, â€Å"Don't get nervous, Janov. I may have a little trouble trying to control the computer, but I'll start easy and you'll have to be patient with me. Do you see it? The crescent?† It hung in the darkness before them. A little dim and wavering at first, but getting sharper and brighter. Pelorat's voice sounded awed. â€Å"Is that Terminus? Are we that far from it?† â€Å"Yes, the ship's moving quickly.† The ship was curving into the night shadow of Terminus, which appeared as a thick crescent of bright light. Trevize had a momentary urge to send the ship in a wide arc that would carry them over the daylit side of the planet to show it in all its beauty, but he held back. Pelorat might find novelty in this, but the beauty would be tame. There were too many photographs, too many reaps, too many globes. Every child knew what Terminus looked like. A water planet more so than most-rich in water and poor in minerals, good in agriculture and poor in heavy industry, but the best in the Galaxy in high technology and in miniaturization. If he could have the computer use microwaves and translate it into a visible model, they would see every one of Terminus's ten thousand inhabited islands, together with the only one of them large enough to be considered a continent, the one that bore Terminus City and Turn away! It was just a thought, an exercise of the will, but the view shifted at once. The lighted crescent moved off toward the borders of vision and rolled off the edge. The darkness of starless space filled his eyes. Pelorat cleared his throat. â€Å"I wish you would bring back Terminus, my boy. I feel as though I've been blinded.† There was a tightness in his voice. â€Å"You're not blind. Look!† Into the field of vision came a filmy fog of pale translucence. It spread and became brighter, until the whole room seemed to glow. Shrink! Another exercise of will and the Galaxy drew off, as though seen through a diminishing telescope that was steadily growing more powerful in its ability to diminish. The Galaxy contracted and became a structure of varying luminosity. Brighten! It grew more luminous without changing size, and because the stellar system to which Terminus belonged was above the Galactic plane, the Galaxy was not seen exactly edge-on. It was a strongly foreshortened double spiral, with curving dark-nebula rifts streaking the glowing edge of the Terminus side. The creamy haze of the nucleus – far off and shrunken by the distance – looked unimportant. Pelorat said in an awed whisper, â€Å"You are right. I have never seen it like this. I never dreamed it had so much detail.† â€Å"How could you? You can't see the outer half when Terminus's atmosphere is between you and it. You can hardly see the nucleus from Terminus's surface. † â€Å"What a pity we're seeing it so nearly head-on.† â€Å"We don't have to. The computer can show it in any orientation. I just have to express the wish – and not even aloud.† Shift co-ordinates! This exercise of will was by no means a precise command. Yet as the image of Galaxy began to undergo a slow change, his mind guided the computer and had it do what he wished. Slowly the Galaxy was turning so that it could be seen at right angles to the Galactic plane. It spread out like a gigantic, glowing whirlpool, with curves of darkness, and knots of brightness, and a central all-but-featureless blaze. Pelorat asked, â€Å"How can the computer see it from a position in space that must be more than fifty thousand parsecs from this place?† Then he added, in a choked whisper, â€Å"Please forgive me that I ask. I know nothing about all this.† Trevize said, â€Å"I know almost as little about this computer as you do. Even a simple computer, however, can adjust co-ordinates and show the Galaxy in any position, starting with what it can sense in the natural position, the one, that is, that would appear from the computer's local position in space. Of course, it makes use only of the information it can sense to begin with, so when it changes to the broadside view we would find gaps and blurs in what it would show. In this case, though†¦Ã¢â‚¬  â€Å"Yes?† â€Å"We have an excellent view. I suspect that the computer is outfitted with a complete map of the Galaxy and can therefore view it from any angle with equal ease.† â€Å"How do you mean, a complete map?† â€Å"The spatial co-ordinates of every star in it must be in the computer's memory banks.† â€Å"Every star?† Pelorat seemed awed. â€Å"Well, perhaps not all three hundred billion. It would include the stars shining down on populated planets, certainly, and probably every star of spectral class K and brighter. That means about seventy-five billion, at least.† â€Å"Every star of a populated system?† â€Å"I wouldn't want to be pinned down; perhaps not all. There were, after all, twenty-five million inhabited systems in the time of Hari Seldon – which sounds like a lot but is only one star out of every twelve thousand. And then, in the five centuries since Seldon, the general breakup of the Empire didn't prevent further colonization. I should think it would have encouraged it. There are still plenty of habitable planets to expand into, so there may be thirty million now. It's possible that not all the new ones are in the Foundation's records.† â€Å"But the old ones? Surely they must all be there without exception.† â€Å"I imagine so. I can't guarantee it, of course, but I would be surprised if any long-established inhabited system were missing from the records. Let me show you something – if my ability to control the computer will go far enough.† Trevize's hands stiffened a bit with the effort and they seemed to sink further into the clasp of the computer. That might not have been necessary; he might only have had to think quietly and casually: Terminus! He did think that and there was, in response, a sparkling red diamond at the very edge of the whirlpool. â€Å"There's our sun,† he said with excitement. â€Å"That's the star that Terminus circles.† â€Å"Ah,† said Pelorat with a low, tremulous sigh. A bright yellow dot of light sprang into life in a rich cluster of stars deep in the heart of the Galaxy but well to one side of the central haze. It was rather closer to the Terminus edge of the Galaxy than to the other side. â€Å"And that,† said Trevize, â€Å"is Trantor's sun.† Another sigh, then Pelorat said, â€Å"Are you sure? They always speak of Trantor as being located in the center of the Galaxy.† â€Å"It is, in a way. it's as close to the center as a planet can get and still be habitable. It's closer than any other major populated system. The actual center of the Galaxy consists of a black hole with a mass of nearly a million stars, so that the center is a violent place. As far as we know, there is no life in the actual center and maybe there just can't be any life there. Trantor is in the innermost subring of the spiral arms and, believe me, if you could see its night sky, you would think it was in the center of the Galaxy. It's surrounded by an extremely rich clustering of stars.† â€Å"Have you been on Trantor, Golan?† asked Pelorat in clear envy. â€Å"Actually no, but I've seen holographic representations of its sky.† Trevize stared at the Galaxy somberly. In the great search for the Second Foundation during the time of the Mule, how everyone had played with Galactic maps – and how many volumes had been written and filmed on the subject And all because Hari Seldom had said, at the beginning, that the Second Foundation would be established â€Å"at the other end of the Galaxy,† calling the place â€Å"Star's End.† At the other end of the Galaxy! Even as Trevize thought it, a thin blue line sprang into view, stretching from Terminus, through the Galaxy's central black hole, to the other end. Trevize nearly jumped. He had not directly ordered the line, but he had thought of it quite clearly and that had been enough for the computer. But, of course, the straight-line route to the opposite side of the Galaxy was not necessarily an indication of the â€Å"other end† that Seldom had spoken of. It was Arkady Darell (if one could believe her autobiography) who had made use of the phrase â€Å"a circle has no end† to indicate what everyone now accepted as truth And though Trevize suddenly tried to suppress the thought, the computer was too quick for him. The blue line vanished and was replaced with a circle that neatly rimmed the Galaxy in blue and that passed through the deep red dot of Terminus's sun. A circle has no end, and if the circle began at Terminus, then if we searched for the other end, it would merely return to Terminus, and there the Second Foundation had indeed been found, inhabiting the same world as the First. But if, in reality, it had not been found – if the so-called finding of the Second Foundation had been an illusion – what then? What beside a straight line and a circle would make sense in this connection? Pelorat said, â€Å"Are you creating illusions? Why is there a blue circle?† â€Å"I was just testing my controls. – Would you like to locate Earth?† There was silence for a moment or two, then Pelorat said, â€Å"Are you joking?† â€Å"No. I'll try.† He did. Nothing happened. â€Å"Sorry,† said Trevize. â€Å"It's not there? no Earth?† â€Å"I suppose I might have misthought my command, but that doesn't seem likely. I suppose it's more likely that Earth isn't listed in the computer's vitals.† Pelorat said, â€Å"It may be listed under another name.† Trevize jumped at that quickly, â€Å"What other name, Janov?† Pelorat said nothing and, in the darkness, Trevize smiled. It occurred to him that things might just possibly be falling into place. Let it go for a while. Let it ripen. He deliberately changed the subject and said, â€Å"I wonder if we can manipulate time.† â€Å"Time! How can we do that?† â€Å"The Galaxy is rotating. It takes nearly half a billion years for Terminus to move about the grand circumference of the Galaxy once. Stars that are closer to the center complete the journey much more quickly, of course. The motion of each star, relative to the central black hole, might be recorded in the computer and, if so, it may be possible to have the computer multiply each motion by millions of times and make the rotational effect visible. I can try to have it done.† He did and he could not help his muscles tightening with the effort of will he was exerting – as though he were taking hold of the Galaxy and accelerating it, twisting it, forcing it to spin against terrible resistance. The Galaxy was moving. Slowly, mightily, it was twisting in the direction that should be working to tighten the spiral arms. Time was passing incredibly rapidly as they watched – a false, artificial time – and, as it did so, stars became evanescent things. Some of the larger ones – here and there – reddened and grew brighter as they expanded into red giants. And then a star in the central clusters blew up soundlessly in a blinding blaze that, for a tiny fraction of a second, dimmed the Galaxy and then was gone. Then another in one of the spiral arms, then still another not very far away from it. â€Å"Supernovas,† said Trevize a little shakily. Was it possible that the computer could predict exactly which stars would explode and when? Or was it just using a simplified model that served to show the starry future in general terms, rather than precisely? Pelorat said in a husky whisper, â€Å"The Galaxy looks like a living thing, crawling through space.† â€Å"It does,† said Trevize, â€Å"but I'm growing tired. Unless I learn to do this less tensely, I'm not going to be able to play this kind of game for long.† He let go. The Galaxy slowed, then halted, then tilted, until it was in the view-from-the-side from which they had seen it at the start. Trevize closed his eyes and breathed deeply. He was aware of Terminus shrinking behind them, with the last perceptible wisps of atmosphere gone from their surroundings. He was aware of all the ships filling Terminus's near-space. It did not occur to him to check whether there was anything special about any one of those ships. Was there one that was gravitic like his own and matched his trajectory more closely than chance would allow?

Tuesday, October 22, 2019

Brahmagupta essays

Brahmagupta essays Brahmagupta was born c. 598, in Bhillamala, which was located in Northwestern India. The suffix -gupta probably indicated that the family belonged to the Vaisya caste (made up of mostly farmers and merchants). He likely lived the majority of his life in Ujjain, India, which at the time was the center of Hindu astronomy and mathematics. There he had access to the best observatory in India as well as the writings of many great scientists and mathematicians who came before him, such as Hero of Alexandria, Ptomely, Diophantus and Aryabhata. In his own work he drew heavily from these sources and often corrected their mistakes. At the age of 30, Brahmagupta wrote his first book, Brahma Sphuta Siddhanta. In 25 chapters this work explains much of his work in astronomy and mathematics. One of his greatest contributions that was revealed with the Brahma Sphuta Siddhanta was the defining of zero. He defined it as the result of subtracting a number from itself. Some of the properties he listed follow: When zero is added to a number or subtracted from a number, the number remains unchanged; and a number multiplied by zero becomes zero. He also gave rules for zero in terms of fortunes, which represent positive numbers, and debts, the negative numbers, as well as fortunes related to debts: A debt subtracted from zero is a fortune. A fortune subtracted from zero is a debt. The product of zero multiplied by a debt of fortune is zero. The product of zero multiplied zero is zero. The product or quotient of two fortunes is one fortune. The product or quotient of two debts is one debt. The product or quotient of a debt and a fortune is a debt. The product or quotient of a fortune and a debt is a debt. In a failed attempt to extend these statements to include division by zero Brahmagupta stated that zero divided by zero is zer ...

Monday, October 21, 2019

The Therapy of Distance Prcis essays

The Therapy of Distance Prcis essays One of the biggest arguments in United States history is how American people came to be known as Americans, rather than being just Europeans in a new location. Daniel J. Boorstin, author of The Therapy of Distance offers us an explanation of how the whole process of Americanization began and was maintained in what is now the United States; Boorstin presents a reader with his idea that the reason why America was able to develop such a unique society from its mother country of England was because of how isolated it was, separated from Europe by 3000 miles of water. He goes on to support his argument by providing different examples of North American society and comparing them with English society, with everything from the governments to the military and even medical matters. He provides a good argument, and it is very hard to argue against it. From the very beginning, colonists were starting to stray from the charters given to them by the British crown, increasingly apparent with the classic story of the pilgrims and the Mayflower Compact. Originally set to land around the mouth of the Hudson, they ended up having to come to land in the Cape Cod area, well outside of the extent of English control at the time, and therefore were able to start their own government that fit their needs. Because of this, Boorstin says, they were able to set an example for other future colonies by writing up the Mayflower Compact, a document that proved more useful to them than anything the crown could ever have sent with them, mainly because it was written on location and instead of being based on theology, was based on need at the time. It essentially laid a framework for other important documents created in the United States, such as the Constitution. Going along with this is the fact that early Americans were able to develop their own pol itical system that combined ideas from various other countries at the time, not just adopt a...

Sunday, October 20, 2019

James West and the Invention of the Microphone

James West and the Invention of the Microphone James Edward West, Ph.D., was a Bell Laboratories Fellow at Lucent Technologies where he specialized in electro, physical and architectural acoustics. He retired in 2001 after dedicated more than 40 years to the company. He then took a position as a research professor with Johns Hopkins Whiting School of Engineering.   Born in Prince Edward County, Virginia on February 10, 1931, West attended Temple University and interned at Bell Labs during his summer breaks. Upon his graduation in 1957, he joined Bell Labs and began work in electroacoustics, physical acoustics, and architectural acoustics. In conjunction with Gerhard Sessler, West patented the electret microphone in 1964 while working at Bell Laboratories. West’s Research   Wests research in the early 1960s led to the development of the foil electret transducers for sound recording and voice communication that are used in 90 percent all microphones built today. These electrets are also at the heart of most telephones now being manufactured. The new microphone became widely used because of its high performance, accuracy, and reliability. It also cost little to produce, and it was small and light weight. The electret transducer began as the result of an accident, like many notable inventions. West was fooling around with a radio – he loved taking things apart and putting them back together as a child, or at least attempting to put them back together. In this instance, he became acquainted with electricity, something that would fascinate him for years.   West’s Microphone   James West joined forces with Sessler while he was at Bell. Their goal was to develop a compact, sensitive microphone that wouldn’t cost a fortune to produce. They completed development of their electret microphone in 1962 – it worked on the basis of the electret transducers they had developed – and they began production of the device in 1969. Their invention became the standard of the industry. The vast majority of microphones used today in everything from baby monitors and hearing aids to telephones, camcorders and tape recorders all use Bell’s technology. James West holds 47 U.S. patents and more than 200 foreign patents on microphones and techniques for making polymer ​foil electrets. He has authored more than 100 papers and has contributed to books on acoustics, solid-state physics, and material science. He has received numerous awards, including the Golden Torch Award in 1998 sponsored by the National Society of Black Engineers, and the Lewis Howard Latimer Light Switch and Socket Award in 1989. He was chosen New Jersey Inventor of the Year in 1995 and was inducted into the Inventors Hall of Fame in 1999. He was appointed president of the Acoustical Society of American in 1997 and is a member of the National Academy of Engineering. Both James  West and Gerhard Sessler were inducted into the National Inventors Hall of Fame in 1999.

Saturday, October 19, 2019

How does due diligence differ from due care Why are both important Essay

How does due diligence differ from due care Why are both important - Essay Example nd, is most often defined as the test of liability for negligence whenever there is a question as to whether a person acted in an ordinary and reasonable manner in terms of certain instances considered to be an issue at the time. Each person who enters into a business arrangement, negotiation, or contract usually based upon certain everyday concerns that can be addressed without having to take extra ordinary measures. Due care insures that the agreement was not entered into in a haphazard manner by either party and that the contract or arrangement does not have any adverse effect on the parties concerned. Both due diligence and due care are important aspects of contractual agreements because these two factors, once proven to exist in any contract, could be used to negate or void any agreement based upon legal standards. It is therefore imperative that both parties entering into any agreement ensure that due care and diligence are properly exercised in the creation of the contract and its terms and

Friday, October 18, 2019

Prohibiting smoking in public places Research Paper

Prohibiting smoking in public places - Research Paper Example The legal system should regulate smoking in public places by prohibiting it,and by rigorously enforcing the ban.Murder,robbery,aggressive actions,sale of drugs that are considered to be dangerous,overt sexual acts,unauthorized use of explosives,transport of toxic materials,and many other potentially dangerous or offensive actions are strictly regulated or fully banned in public places. Cigarettes are dangerous and offensive to those people who are exposed in public places. The term, â€Å"in public,† implies shared space. It must be considered that there are ill people, infants and children, pregnant women, elderly people, valuable and contributing members of society, animals, birds, insects, trees, plants, and air in that shared space. All are vulnerable to contamination and poisoning by toxins released in cigarette smoke. It is the purpose and duty of the legal system to protect people in shared space, as well as to uphold the protections promised in the US Constitution and the Bill of Rights. Second-hand smoke is damaging and illness-inducing. Victims are involuntarily exposed, and many have no voice or social influence to fight against this injustice. Infants and children, for example, cannot voluntarily leave a smoke-filled area, but are at the mercy of adult choices. It is known that the effects of second-hand smoke on children places them at risk for developing frequent colds, asthma, coughs that do not go away, ear infections, high blood pressure, learning and behavioral difficulties (The Cleveland Clinic). People who work in restaurants or other service-related industries, where they are frequently exposed to second-hand smoke, are another high risk group with no real choice to stop exposure, if they leave the area, they risk losing employment and income. If they stay, they regularly absorb carcinogens and various smoking-related toxins into their body, increasing their risk of lung cancer, heart disease, asthma, emphysema, eye and nose irritati on (The Cleveland Clinic). Smoking cigarettes is potentially fatal. Because it is voluntary, it can be seen as an act of slow-motion suicide. When a smoker smokes, in public space, he/she is performing a public act of self-destruction, witnessed by children, teenagers, and other emotionally impressionable people. It is a horrifying act, a slower death than catching one’s body on fire, in protest, or jumping off a skyscraper, but horrifying anyway. Civilized people, who choose to kill themselves, should do so in private, not demand witnesses. This argument has merit precisely because the average person is informed about the potentially fatal consequences of smoking. The act of smoking raises imagery, based on real information in the minds of informed witness. The witness understands that smoking can lead to heart attacks, strokes, and lung cancer. The witness has seen examples of yellow teeth and yellowed nails on a smoker. The witness has smelled the stale aroma hanging in a smoker’s hair, house, and clothing. Perhaps the witness mourns the death of a loved one, lost to the consequences of smoking. The witness is involuntarily confronted by this imagery, when a smoker lights up in shared space. If the shared space is a restaurant, the witness suffers damage to a healthy appetite. If the witness has asthma, or other respiratory illness, the smoker obliviously antagonizes another’s health condition. If the shared space includes pregnant women, their unborn children are also endangered, along with the mothers-to-be. Along with the pregnant woman, the fetus comes into higher risk of developing lung cancer, emphysema, heart disease, allergies and asthma (The Cleveland Clinic). If the shared space is a public event, attention is forcibly re-directed to the smoker. If the shared space is a church hall or parking lot, the witness may suffer offense to his/her faith. If the shared space is a park, the beauty of connection with nature is compromised . The smoker sets a bad

Measurement and Disclosure of Value at Risk for Mutual Fund Portfolios Research Paper

Measurement and Disclosure of Value at Risk for Mutual Fund Portfolios - Research Paper Example Investors have a natural interest in how well particular investments have done. This is true whether the investor manages his or her own portfolio or has money managed by a professional. Concern with investment performance motivates the topic of performance evaluation. In general, terms, performance evaluation focuses on assessing how well a money manager achieves high returns balanced with acceptable risks. The standard example is an evaluation of investment performance achieved by the manager of a mutual fund. Such a performance evaluation is more than an academic exercise, because its purpose is to help investors decide whether they would entrust investment funds with the manager. Our goal here is to introduce you to the primary tools used to make this assessment. The securities making up the Fund's portfolio are of the trading in such stocks, bonds, and treasury bills. The investor’s has no right to claim ownership of securities of certain inside the wallet, but is right only in the share in the portfolio as a whole gets in corresponding to the document function to it. The following defines in simplified nature of investment funds, and why have arisen and benefits of investment. The controls and the principle of disclosure under which the need to disclose the lists and financial reports for all data and accounting information necessary to give the reader an accurate picture, clear and reflect the reality of business results and financial position of the units of accounting. When talking about the benefits of investment funds' investment returns are achieved over - usually - the return that can be achieved from bank deposits. As well as studies show many that liquidity is the most important element for small investors, is no doubt that direct investments as well as the opportunities provided by commercial banks in the accounts. Futures are less liquid than investment funds open, and in many cases lower than a return, on the other hand. The liquidity for the small size of the investment costs may be high

Purposes of Criminal Sentencing Essay Example | Topics and Well Written Essays - 750 words

Purposes of Criminal Sentencing - Essay Example Moral philosophers take into consideration the goals of punishment, the values promoted, and its purpose (Purpose of, 2004). While sociologists are concerned with â€Å"what punishment is actually intended for, and the nature of penal systems† (Hudson, 1996, as cited in Purpose of, 2004, p. 105), criminologists concentrate on the penalties for offenses and the policy measures pertinent to the punishment (Purpose of, 2004). Previous penal theories leaned more on retribution that put the moral blame on the offender without regard to future reformation of conduct of the offender (Hudson 1996, as cited in Purpose of, 2004). While punishment may be to prevent crime to some and to punish for others (Hudson, 1963, as cited in Purpose of, 2004), the court balances these factors in imposing a punishment (Purpose of, 2004). ... Although the present system in the US has shifted to reformation of the convict, the justification for sanction based on vengeance still remains (Barnes, 1999). The incarcerated convict can also be deterred from the commission of the same act or any other crime if rehabilitated or incapacitated (Barnes, 1999). The two primary theories that dominate criminal punishment are utilitarianism and retribution (Purpose of, 2004). Utilitarianism expounds that laws should provide maximum happiness for society, and since crime and punishment are not consistent with happiness, they should be placed at the minimum level (Punishment, 2011). Thus, under this theory, the infliction of punishment is only that which can prevent commission of crimes in the future (Punishment, 2011). The traditional model in criminal theory is that of deterrence, which is considered a sub-category (Barnes, 1999) or a derivative (Purpose of, 2004) of the utilitarian theory. According to the utilitarian view, punishment i s justifiable if it promotes the interest of society, and maintains social order (Rawls, 1955, as cited in Barnes, 1999). The concept of deterrence posits that apprehension and punishment of a criminal informs society that an act is punishable, and thus deters members of society from committing it (Barnes, 1999). General deterrence focuses on the total criminal behavior, as opposed to specific deterrence which targets individual criminals (Barnes, 1999). As a general deterrent, there must be an existing crime and punishment in order to deter others from committing the same (Barnes, 1999). This follows the view that a threat of being punished would deter individuals

Thursday, October 17, 2019

Reaction of a article Essay Example | Topics and Well Written Essays - 500 words

Reaction of a article - Essay Example The photograph shows how the two splashes drunkenly barefoot through a fountain of Parisian in the late 1930’s. But the author’s Aunt seems careless with her life despite enjoying it. It is clear that the author was trying to bring out the aspect of imagery in his piece of writing. What he does is to capture the attention of the readers and drive them in the world of fantasies. He opens up his narration with the following line: â€Å"As I walked down the darkened hallway of the Hospice (278).† This suggests that the environment around him seemed scarily and with a lot of tension. However, the other imagery used is during the time when the author’s aunt got drunk, in a cocktail bar, and came home at a time when the author was preparing to take a date. The Author helps her to get into bed and she barely recognized him, let alone knowing where she was. He weeps as he bends over to kiss her cheek and whisper to her saying how important she was to him and how much he loved her. I did not like the quality of words used by the Author. Many of the words used are difficult to understand and, therefore, making it hard to follow the storyline. For instance, he uses the words â€Å"anti- climatic feeling.† After visiting his sick aunt at the hospital, he says that he wanted to avoid this kind of feeling that one gets around Christmas. I do not get the connection between the anti-climatic feeling, which he says to avoid, and his visit to the hospital. However, the author was successful in making me feel emotionally attached to his story. He describes his Aunt in a manner that brings empathy. We find that after the husband to his Aunt dies, she becomes hopeless with life and started taking excessive alcohol and illegal drugs. At times she would get drunk and fail to recognize the author; her nephew. The author says â€Å"she turned towards me and opened her eyes.

Stratigic management Essay Example | Topics and Well Written Essays - 2500 words

Stratigic management - Essay Example The following analytical tools namely: SWOT analysis, PESTEL analysis as well as Porter’s Five Forces model analysis will be used in this case. The essay starts by outlining a brief historical background of the organisation in question for the sake of easier understanding then followed by an analysis of the above mentioned tools for scanning the environment in which the organisation operates. Environmental scanning plays a pivotal role in helping the marketing managers of an organisation to be in a better position to know the situation taking place on the ground for them to be able to gain a competitive advantage especially in view of the competition that may exist. Background Red Bull GmbH is widely acknowledged as the creator of the 'energy drink' category and has managed to maintain a close association with sports from the time it was launched in 1987. It is known for its sponsorship especially of extreme, alternative sports like white water kayaking, hand gliding, wind sur fing and snowboarding. Through the use of unconventional marketing strategies, Red Bull GmbH has come to be a force to reckon with in the energy drink market. SWOT analysis â€Å"A SWOT analysis is a useful instrument for helping managers to identify internal strengths and weaknesses of a business and external opportunities and threats facing it,† (Strydom J. p 31). Basically, SWOT stands for strengths (S), weaknesses (W) while on the other hand the external environmental factors are regarded as either opportunities (O) or threats (T). This analysis is very important to the managers as it allows them to focus on key strategic issues based on the notion that an effective strategy fully utilises the strengths and opportunities of a business and strives to minimise the weaknesses and threats. Potential internal strengths The major potential strengths for Red Bull include branding strategy. Red Bull was positioned as an energy drink that 'invigorated mind and body' and 'improved endurance levels' of the individual. The company’s slogan 'Red Bull gives you wiiings' also played a great role in reinforcing the positioning of the brand. This strategy played a very big strategic role in product development as well as strategic marketing. The branding strategy gave the company a major strength in that the product is completely different from the other energy drinks available in the market. This differentiation strategy has played a significant role in product development as well as marketing strategy as a result of the uniqueness of the product. The other major strength of the company in its product development and marketing strategy is that it uses unconventional marketing strategies. It targets the students and these are used to market the product. This is a major strength is the way the brand is positioned to the people whereby the aim is to attract consumers and appeal to their interests through its visibility. The packaging strategy has greatly enhanc ed the development of the product which is unique. Potential internal weaknesses The major notable potential weakness is that Red Bull did not rate very high with consumers on the taste dimension. It has been reported that the drink had a medicinal flavour though it smelt sweet. The taste was bitter and few people actually liked the taste of Red Bull. The company however did not focus on the aspect of taste in its promotions of the

Wednesday, October 16, 2019

Reaction of a article Essay Example | Topics and Well Written Essays - 500 words

Reaction of a article - Essay Example The photograph shows how the two splashes drunkenly barefoot through a fountain of Parisian in the late 1930’s. But the author’s Aunt seems careless with her life despite enjoying it. It is clear that the author was trying to bring out the aspect of imagery in his piece of writing. What he does is to capture the attention of the readers and drive them in the world of fantasies. He opens up his narration with the following line: â€Å"As I walked down the darkened hallway of the Hospice (278).† This suggests that the environment around him seemed scarily and with a lot of tension. However, the other imagery used is during the time when the author’s aunt got drunk, in a cocktail bar, and came home at a time when the author was preparing to take a date. The Author helps her to get into bed and she barely recognized him, let alone knowing where she was. He weeps as he bends over to kiss her cheek and whisper to her saying how important she was to him and how much he loved her. I did not like the quality of words used by the Author. Many of the words used are difficult to understand and, therefore, making it hard to follow the storyline. For instance, he uses the words â€Å"anti- climatic feeling.† After visiting his sick aunt at the hospital, he says that he wanted to avoid this kind of feeling that one gets around Christmas. I do not get the connection between the anti-climatic feeling, which he says to avoid, and his visit to the hospital. However, the author was successful in making me feel emotionally attached to his story. He describes his Aunt in a manner that brings empathy. We find that after the husband to his Aunt dies, she becomes hopeless with life and started taking excessive alcohol and illegal drugs. At times she would get drunk and fail to recognize the author; her nephew. The author says â€Å"she turned towards me and opened her eyes.

Tuesday, October 15, 2019

The Buying decision process Essay Example for Free

The Buying decision process Essay Consumer behavior is term used to describe the manner of how an individual buys and assesses a product or service. It also includes the internal or the mental processes and external or social processes that might affect the individual’s conduct (Consumer Behavior 2008). Figure 1. The Buying Decision Process Source: Bowens, Kotler Makens (2003) Purchasing products like buying grocery supplies seems like a mundane activity but a buyer actually foes through several stages of decision making before eventually making the purchase. It will all start with the problem recognition. A problem arises when the current status or condition does not coincide with the preferred one (Marketing Communications 2008). The awareness of this situation can be caused by an internal stimulus, like feeling thirsty and needing to buy a drink, or an external factor, like advertising of a store for a sale (Buyer Behavior 2008). The consumer may or may not continue to the next stage unless there is a strong desire to improve the condition or fulfill the need (Principles of Marketing 2008). Once the consumer decides to fulfill the need, the stage of information search occurs. At this stage the consumer seeks out options to be able to solve the problem at hand. It involves internal and external types. Internal search usually occurs with frequently bought items. The consumer just simple remembers past positive experience with the product (Principles of Marketing 2008). The weakness of this type is when the information stored in the memory is limited or the person is having a hard time remembering, the risk of making an incorrect decision is most likely (Consumer Behavior 2008). On the other hand, the sources for the external types are personal sources like relatives and friends, public sources like reports, commercial sources like ads and lastly experiential sources acquire through experiencing the product (Buyer Behavior 2008). The challenge for any marketing team is to identify how their target audience source product information. After which make sure that the information is always available and can be easily accessed (Principles of Marketing 2008). The information obtained during the second stage will then be evaluated in the alternative evaluation stage. The information will be put into set of options or evoked set (Consumer Decision Process 2008). The evoked set is the set of brands a consumer consider while in the decision process (Marketing Communications 2008). From the second stage the consumer acquired the criteria he/she is looking for and got the brand names that meet those criteria (Consumer Behavior 2008). This process limits the choices for the consumer, making it easier for them to make the final decision of purchasing the product or getting the service. The fourth stage of the process, purchase decision, now involves the actual purchase of the product. Since the consumer now knows what to buy in this stage, he decides where, when and how to purchase the product of choice (Marketing Communications 2008). During this process, three methods of purchase may be used by the consumer: fully-planned, partially planned, and unplanned. Fully-planned purchases are purchases where the customer picks out the merchandise and brand ahead of time. This method is usually used with high risk purchases like buying a house or car. In partial purchase there is a plan to buy a product but to what specific brand is decided later on. Finally, an unplanned purchase is a spur of the moment acquisition (Consumer Decision Process 2008). Although the consumer is already thinking of buying a product, this could still be altered at the point of purchase itself. Factors that could affect it are the store surroundings, time constraint, incentives offered in the store like a sale, product availability, and budget constraint. It is then important for the seller to make sure that these events are anticipated and avoided (Principles of Marketing 2008). Stores could make sure that the stocks are sufficient, the store is clean and the personnel are trained to provide good shopping experience, promotions like sales are position at the right moment, and that products are well organized and can be easily found. Following the purchase will be the consumption of the product and the consumer will enter the last stage of the process which is post-purchase evaluation. In this stage, the consumer will assess if the purchase solved the problem identified in the first stage. He/she will determine if satisfaction was provided by the action (Consumer Behavior 2008). Otherwise, the customer will feel cognitive dissonance, which is an unpleasant feeling or tension produced by thinking about two conflicting ideas. This is a state where the consumer stresses on the thought that the other choice should have been selected (Buyer Behavior 2008). Cognitive dissonance could result to product returns, viewing the product in a negative way or not considering the product as part of the evoked set in the future (Principles of Marketing 2008). Companies can prevent this situation by providing good after sale service to customers. For example. free technical support to electronic device like computers. Other methods are follow-up calls and market research. As shown above the decision making process of consumers is actually a complex process that involves many steps and could be influenced by different factors. The whole process could take a few minutes for simple purchases but could take weeks for important purchases. It is then a good tool for businesses to understand what happens in each stage to be able to present their product favorably to the consumer.

Monday, October 14, 2019

Contribution Of Indian Mathematics History Essay

Contribution Of Indian Mathematics History Essay Mathematics is the study of numbers, and counting, and measuring, but that is only the beginning. Mathematics involves the study of number patterns and relationships, too. It is also a way to communicate ideas, and perhaps more than anything, it is a way of reasoning that is unique to human beings. Mathematics plays a vital role in the modernization of this civilization. It is everywhere and affects the everyday lives of people. Although it is abstract and theoretical knowledge, it emerges from the real world. It is also a way to communicate and analyze ideas, a tool for organizing and interpreting data and above all, perhaps a method of logical reasoning unique to man. Mathematics is a necessary part of other sciences. In the words of Physicist Richard Feynan (2002) Nature talks to us in the language of mathematics that is numbers, mathematical rules and equations help us to make sense of the world around us (The Book of Popular Science). Mathematics in some form or other has been s ince the early age of human civilization. But its use in todays world has assumed great importance, since without its application higher technology cannot be mastered and harnessed for increasing production of goods and services and promoting human welfare. Over the centuries there has been spectacular progress in the development of mathematics as a branch of knowledge. And without the application of mathematics on a wide scale no country can march forward in line with the general progress of human knowledge and thought. Therefore learning of mathematics and promoting the horizons of knowledge by advanced researches in mathematics should be over emphasized. Thus, mathematics is an important and inseparable part of human life. It has been existed and developed since the ancient era and the aim of this article is to give a brief review of a few of the outstanding innovations introduced by Indian mathematics from ancient times to modern as Indias contribution in the field of mathematic s is immense and it should always be studied from a thoughtful perspective. Key Words: INTRODUCTION: India was the motherland of our race and Sanskrit the mother of Europes languages. India was the mother of our philosophy, of much of our mathematics, of the ideals embodied in Christianity of self-government and democracy. In many ways, Mother India is the mother of us all. Will Durant, American Historian 1885-1981 Mathematics is an important field of study. Mathematics is vital as it helps in developing lots of practical skills, in fact study of mathematics itself include the concepts related to the routine lives of human. It not only develops mathematical skills and concepts, it also helps in developing the attitudes, interest, and appreciation and provides opportunities to develop ones own thinking. So, mathematics is undoubtedly a discipline which is imperative to know and study. Fig. 1, Importance of MathematicsC:UsersnaveenDesktopUntitled.png Mathematics has played a very significant role in the development of Indian culture for millennia. Mathematical ideas that originated in the Indian subcontinent have had a thoughtful impact on the world. In ancient time, mathematics was mainly used in an auxiliary or applied role. Thus mathematical methods were used to solve problems in architecture and construction (as in the public works of the Harrappan civilization) in astronomy and astrology (as in the Jain mathematicians) and in the construction of Vedic altars (as in the case of the Shulba Sutras of Baudhayana and his successors). By the sixth or fifth century BCE, mathematics was studied for its own sake, as well as for its application in other fields of knowledge. In fact there does not seem to have been a time in Indian history when mathematics was not being developed. Recent work has unearthed many manuscripts, and what were previously regarded as inactive periods in Indian mathematics are now known to have been very activ e. The picture is yet not complete, and it seems that there is much more to do in the field of the history of Indian mathematics. The challenges are twofold. First, there is the task of locating and identifying manuscripts and of translating them into a language that is more familiar to modern scholars. Second there is the task of interpreting the significance of the work that was done. The time is ripe to make a major effort to develop as complete a picture as possible of Indian mathematics. The importance of mathematics in India can be seen by a well-known verse in Sanskrit of VedangJyotish (written 1000 BC) as: This verse means that As the crown on the head of a peacock and as the gem on the hood of a snake, so stands Mathematics crowned above all disciplines of knowledge. This fact was well known to intellectuals of India that is why they gave special importance to the development of mathematics, right from the beginning. Indian mathematicians made great strides in developing arithmetic, algebra, geometry, infinite series expansions and calculus. Indian works, through a variety of translations, have had significant influence throughout the world. Mathematics in ancient times (3000 to 600 BCE) The oldest evidence of mathematical knowledge to Indians is being found in Indus Valley Civilization. The metallic seals found in the excavations of Mohan-Jo-Daro and Harrapan indicates that the people of this civilization had the knowledge of numbers. It is also clear from the pottery and other archaeological remains that they had the knowledge of measurement and geometry even in crude form. The Indus valley civilization is considered to have existed around 3000 BCE. Two of its most famous cities, Harappa and Mohenjo-Daro, provide evidence that construction of buildings followed a standardized measurement which was decimal in nature. Here, we see mathematical ideas developed for the purpose of construction. This civilization had an advanced brick-making technology (having invented the kiln). Bricks were used in the construction of buildings and embankments for flood control. The study of astronomy is considered to be even older, and there must have been mathematical theories on which it was based. Even in later times, we find that astronomy motivated considerable mathematical development, especially in the field of trigonometry. Much has been written about the mathematical constructions that are to be found in Vedic literature. In particular, the Shatapatha Brahmana, which is a part of the Shukla Yajur Veda, contains detailed descriptions of the geometric construction of altars for yajnas. Here, the brick-making technology of the Indus valley civilization was put to a new use. Supplementary to the Vedas are the Shulba Sutras. These texts are considered to date from 800 to 200 BCE. Four in number, they are named after their authors: Baudhayana (600 BCE), Manava (750 BCE), Apastamba (600 BCE), and Katyayana (200 BCE). The sutras contain the famous theorem commonly attributed to Pythagoras. The Shulba Sutras introduce the concept of irrational numbers, numbers that are not the ratio of two whole numbers. It is interesting that the mathematics of this period seems to have been developed for solving practical geometric problems, especially the construction of religious altars. However, the study of the series expansion for certain functions already hints at the development of an algebraic perspective. In later times, we find a shift towards algebra, with simplification of algebraic formulate and summation of series acting as catalysts for mathematical discovery. Jain Mathematics (600 BCE to 500 CE) Just as Vedic philosophy and theology inspired the development of certain aspects of mathematics, so too did the rise of Jainism. Jain cosmology led to ideas of the infinite. This in turn, led to the development of the notion of orders of infinity as a mathematical concept. By orders of infinity, we mean a theory by which one set could be deemed to be more infinite than another. In modern language, this corresponds to the notion of cardinality. For a finite set, its cardinality is the number of elements it contains. However, we need a more sophisticated notion to measure the size of an infinite set. In Europe, it was not until Cantors work in the nineteenth century that a proper concept of cardinality was established. Besides the investigations into infinity, this period saw developments in several other fields such as number theory, geometry, computing, with fractions. In particular, the recursion formula for binomial coefficients and the Pascals triangle were already known in this period. The period 600 CE coincides with the rise and dominance of Buddhism. In the Lalitavistara, a biography of the Buddha which may have been written around the first century CE, there is an incident about Gautama being asked to state the name of large powers of 10 starting with 10. He is able to give names to numbers up to 10 (tallaksana). The very fact that such large numbers had names suggests that the mathematicians of the day were comfortable thinking about very large numbers. It is hard to imagine calculating with such numbers without some form of place value system. Brahmi Numerals, The place-value system and Zero No account of Indian mathematics would be complete without a discussion of Indian numerals, the place-value system, and the concept of zero. The numerals that we use even today can be traced to the Brahmi numerals that seem to have made their appearance in 300 BCE. But Brahmi numerals were not part of a place value system. They evolved into the Gupta numerals around 400 CE and subsequently into the Devnagari numerals, which developed slowly between 600 and 1000 CE. By 600 CE, a place-value decimal system was well in use in India. This means that when a number is written down, each symbol that is used has an absolute value, but also a value relative to its position. For example, the numbers 1 and 5 have a value on their own, but also have a value relative to their position in the number 15. The importance of a place-value system need hardly be emphasized. It would suffice to cite an often-quoted remark by La-place: It is India that gave us the ingenious method of expressing all numbers by means of ten symbols, each symbol receiving a value of position as well as an absolute value; a profound and important idea which appears so simple to us now that we ignore its true merit. But its very simplicity and the great ease which it has lent to computations put our arithmetic in the first rank of useful inventions; and we shall appreciate the magnificence of the achievement the more when we remember that it escaped the genius of Archimedes and Apolloniu s, two of the greatest men produced by ancient times. A place-value system of numerals was apparently known in other cultures; for example, the Babylonians used a sexagesimal place-value system as early as 1700 BCE, but the Indian system was the first decimal system. Moreover, until 400 BCE, The Babylonian system had an inherent ambiguity as there was no symbol for zero. Thus it was not a complete place-value system in the way we think of it today. The elevation of zero to the same status as other numbers involved difficulties that many brilliant mathematicians struggled with. The main problem was that the rules of arithmetic had to be formulated so as to include zero. While addition, subtraction, and multiplication with zero were mastered, division was a more subtle question. Today, we know that division by zero is not well-defined and so has to be excluded from the rules of arithmetic. But this understanding did not come all at once, and took the combined efforts of many minds. It is interesting to note that it was not until the seventeenth century that zero was being used in Europe. The Classical Era of Indian Mathematics (500 to 1200 CE) The most famous names of Indian mathematics belong to what is known as the classical era. This includes Aryabhata I (500 CE) Brahmagupta (700 CE), Bhaskara I (900 CE), Mahavira (900 CE), Aryabhatta II (1000 CE) and Bhaskarachrya or Bhaskara II (1200 CE). During this period, two centers of mathematical research emerged, one at Kusumapura near Pataliputra and the other at Ujjain. Aryabhata I was the dominant figure at Kusumapura. One of Aryabhatas discoveries was a method for solving linear equations of the form ax + by = c. Aryabhata devised a general method for solving such equations, and he called it the kuttaka (or pulverizer) method. It should be noted that Aryabhatas studied linear equations because of his interest in astronomy. Amongst other important contributions of Aryabhata is his approximation of Pie to four decimal places (3.14146) and work on trigonometry. The other major centre of mathematical learning during this period was Ujjain, which was home to Varahamihira, Brahmagupta and Bhaskaracharya. The text Brahma-sphuta-siddhanta by Brahmagupta, published in 628 CE, dealt with arithmetic involving zero and negative numbers. As with Aryabhata, Brahmagupta was an astronomer, and much of his work was motivated by problems that arose in astronomy. He gave the famous formula for a solution to the quadratic equation. Brahmagupta also studied quadratic equation in two variables and sought solutions in whole numbers. This period closes with Bhaskaracharya (1200 CE). In his fundamental work on arithmetic (titled Lilavati) he refined the kuttaka method of Aryabhata and Brahmagupta. The Lilavati is impressive for its originality and diversity of topics. Brahmagupta discovered a method, which he called samasa, by which; given two solutions of the equation a third solution could be found. Brahmaguptas lemma was known one thousand years before it was rediscovered in Europe by Fermat, Legendre, and others. This method appears now in most standard text books and courses in number theory. The name of the equation is a historical accident. Mathematics in South India Mahavira is a mathematician belonging to the ninth century who was most likely from modern day Karnataka. He studied the problem of cubic and quartic equations and solved them for some families of equations. His work had a significant impact on the development of mathematics in South India. His book Ganita- sara- sangraha amplifies the work of Brahmagulpta and provides a very useful reference for the state of mathematics in his day. Another notable mathematician of South India was Madhava from Kerala. Madhava belongs to the fourteenth century. He discovered series expansions for some trigonometric functions such as the sine, cosine and arctangent that were not known in Europe until after Newton. In modern terminology, these expansions are the Taylor series of the functions in question. Madhava gave an approximation to Pie of 3.14159265359, which goes far beyond the four decimal places computed by Aryabhata. Madhavas work with series expansions suggests that he either discovered elements of the differential calculus or nearly did so. Mathematics in the Modern Age In more recent times there have been many important discoveries made by mathematicians of Indian origin. We shall mention the work of three of them: Srinivasa Ramanujan, Harish-Chandra, and Manjul Bhargava. Ramanujan (1887- 1920) is perhaps the most famous of modern Indian mathematicians. Though he produced significant and beautiful results in many aspects of number theory, his most lasting discovery may be the arithmetic theory of modular forms. In an important paper published in 1916, he initiated the study of the Pie function. Ramanujan proved some properties of the function and conjectured many more. As a result of his work, the modern arithmetic theory of modular forms, which occupies a central place in number theory and algebraic geometry, was developed by Hecke. Harish-Chandra (1923- 83) is perhaps the least known Indian mathematician outside of mathematical circles. He began his career as a physicist, working under Dirac. In his thesis, he worked on the representation theory of the group SL2 (C). This work convinced him that he was really a mathematician, and he spent the remainder of his academic life working on the representation theory of semi-simple groups. For most of that period, he was a professor at the Institute for Advanced Study in Princeton, New Jersey. His Collected Papers published in four volumes contain more than 2,000 pages. His style is known as meticulous and thorough and his published work tends to treat the most general case at the very outset. This is in contrast to many other mathematicians, whose published work tends to evolve through special cases. Interestingly, the work of Harish-Chandra formed the basis of Langlandss theory of automorphic forms, which are a vast generalization of the modular forms considered by R amanujan. CONCLUSION: The present mathematical knowledge has not dropped as a bolt from the blue, nor a product of some magical tricks. The apparently ready-made knowledge and results have been achieved after centuries of efforts, often painful, by hundreds of mathematicians and historians through the ages. Lots of discoveries and inventers contributed to the fruits, facilities and luxuries which we enjoy today were the contribution of Indian mathematicians. From the notion of zero to the modern concept of computational number theory, their contribution is significant. It is without doubt that mathematics today owes a huge debt to the outstanding contributions made by Indian mathematicians over many hundreds of years. What is quite surprising is that there has been a reluctance to recognize this and one has to conclude that many famous historians of mathematics found what they expected to find, or perhaps even what they hoped to find, rather than to realize what was so clear in front of them. Kim Plofker from Netherland says that Indian mathematical science is extremely important and has a significant effect on the worlds knowledge as it is today. The lack of available resources has kept us under informed about the developments that have taken place in India. It is the need of the hour to carry forward the legacy of great mathematicians so as to encourage and nurture the glorious tradition of the country in mathematics. The ingenious method of expressing every possible number using a set of ten symbols (each symbol having a place value and an absolute value) emerged in India. The idea seems so simple nowadays that its significance and profound importance is no longer appreciated. Its simplicity lies in the way it facilitated calculation and placed arithmetic foremost amongst useful inventions. The importance of this invention is more readily appreciated when one considers that it was beyond the two greatest men of ancient times, Archimedes and Apollonius.