Indian Mathematicians And Their Contributions Essay

Ramanujan He was born on 22na of December 1887 in a small village of Tanjore district, Madras. He failed in English in Intermediate, so his formal studies were stopped but his self-study of mathematics continued. He sent a set of 120 theorems to Professor Hardy of Cambridge. As a result he invited Ramanujan to England. Ramanujan showed that any big number can be written as sum of not more than four prime numbers. He showed that how to divide the number into two or more squares or cubes. when Mr Litlewood came to see Ramanujan in taxi number 1729, Ramanujan said that 1729 is the smallest number which can be written in the form of sum of cubes of two numbers in two ways, i.e. 1729 = 93 + 103 = 13 + 123 since then the number 1729 is called Ramanujan’s number. In the third century B.C, Archimedes noted that the ratio of circumference of a circle to its diameter is constant. The ratio is now called ‘pi ( ÃŽ   )’ (the 16th letter in the Greek alphabet series) The largest numbers the Greeks and the Romans used were 106 whereas Hindus used numbers as big as 1053 with specific names as early as 5000 B.C. during the Vedic period. ARYABHATA Aryabhatta was born in 476A.D in Kusumpur, India. He was the first person to say that Earth is spherical and it revolves around the sun. He gave the formula (a + b)2 = a2 + b2 + 2ab He taught the method of solving the following problems: BRAHMAGUPTA Brahma Gupta was born in 598A.D in Pakistan. He gave four methods of multiplication. He gave the following formula, used in G.P series a + ar + ar2 + ar3 +†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦.. + arn-1 = (arn-1) à · (r – 1) He gave the following formulae : Area of a cyclic quadrilateral with side a, b, c, d= √(s -a)(s- b)(s -c)(s- d) where 2s = a + b + c + d Length of its diagonals = SHAKUNTALA DEVI She was born in 1939 In 1980, she gave the product of two, thirteen digit numbers within 28 seconds, many countries have invited her to demonstrate her extraordinary talent. In Dallas she competed with a computer to see who give the cube root of 188138517 faster, she won. At university of USA she was asked to give the 23rd root of 91674867692003915809866092758538016248310668014430862240712651642793465704086709659 32792057674808067900227830163549248523803357453169351119035965775473400756818688305 620821016129132845564895780158806771. She answered in 50seconds. The answer is 546372891. It took a UNIVAC 1108 computer, full one minute (10 seconds more) to confirm that she was right after it was fed with 13000 instructions. Now she is known to be Human Computer. BHASKARACHARYA He was born in a village of Mysore district. He was the first to give that any number divided by 0 gives infinity (00). He has written a lot about zero, surds, permutation and combination. He wrote, â€Å"The hundredth part of the circumference of a circle seems to be straight. Our earth is a big sphere and that’s why it appears to be flat.† He gave the formulae like sin(A  ± B) = sinA.cosB  ± cosA.sinB

NYU Diagnostic Medical Sonography Program

Ever since I was a young child, I have always been fascinated with the wonders of the medical field. As I grew older, questions continuously ran through my brain, as to how certain parts of the body function. Some of those questions were answerable by a simple â€Å"yes† or â€Å"no†, while others required complex answers unknown to many. For this, I decided that I would take up a course from the medical field when I go to college. After my completion of high school education in 2004, I attended college at the Kingsborough Community College, as a Liberal Arts Major. After a few semesters, I realized that I wanted to fulfill my dream of being part of the medical field.   Several reasons aroused as to why I choose this program. First, I wanted to hone my talents and strengthen my inclination towards the medical field. I have always been interested in the work done physicians who specialized in Ob/Gyne, especially how a living human being survives inside the female’s body. Being given the chance to experience life from the small detail up to the time the baby is born never fails to fascinate me. Another reason that made me go for this field is the fact that I wanted to help teenage girls who were having their own babies at such a young age. I want to give them a place that they can go to, without the hassle of worrying about people who will judge them. These include the 9-month preparation that the mothers will have to endure before their babies are born. When accepted, I plan to further enhance my craft, taking into heart the training that this university will offer. I will use the experiences and the knowledge to practice my chosen field, and at the same time, be of service to mankind. When given the chance, I also want to work for the New York City hospital. I believe that knowledge that I will acquire from this university will be beneficial in the fulfillment of my dreams and aspirations. This is something that I can hold on to for the rest of my life.   

Reflection Essay Example | Topics and Well Written Essays - 750 words - 1

Reflection - Essay Example In essence, it is about grasping, the text, poem or idea from the bible and trying to make good meaning of the word as contained in the text. What makes the book even more valuable is the fact that the authors gave attention to both the word, as well as the sentences as they are presented in the paragraphs. As if not enough, the book outlines the practical challenges uncounted in interpreting, as well as applying the bible teachings. It talks about grasping from the very practical, literal sense of the hands-on and of the practical know-how. Through this, the book provides training on how to correctly interpret and handle God’s word. On the overall, the book is spiritually enriching given that its focus is on grasping the word of God. Through learning how to interpret the word of God, one would be able to get the very correct meaning of the biblical teaching as put down by scriptural scholars and it is through this that he/she would understanding God, as well as oneself. Certa inly, there are various concepts and skills the book equipped me with. As outlined in the above text, the skill of interpreting the bible is quite outstanding. The authors emphasized on the word to word, sentence to sentence, as well as paragraph to paragraph. For instance, in part 4 and part 5, the book talks about the interpretive journey New Testament and the interpretive journey Old Testament. ... It is worth noting, in this case, that the key purpose of this book is to help serious believer including college students learn how to read, interpret, and apply the word of God. Moreover, the distinction between the Old and the New Testament has been clearly been outlined in this book, and how the two merge in so far as the message contained in the two chapters is concerned. The outstanding concepts, on the other hand, includes the concept behind various version of the bible, the way of reading bible following sentence to sentence, the discourses, following paragraphs, the holy spirit concept, application concept, the biblical historical concept and other many concepts. Certainly, the various skills and concepts as attained in this class are quite meaningful to me. I would make use of these skills and concepts in enriching my personal life alongside other people in the society. Through the skill of interpretation and reading the bible, I was able to understand well how to interpret the bible and thus have enabled me to make a personal decision in moving closer to God given the right interpretation. I will use this skill to help most serious believers to get to understand the bible well. Other skills are also of paramount importance as far as their applicability is concerned. The concept behind the Holy Spirit and the word of God is also quite informative. The historical, biblical concepts would boost my understanding about the word of God and applying the many concepts shall enable me provide the right information about the word of God to those I interact with. There are various concepts, as well as skills I look forward to study and practice. Key among them is the concept behind the Gospels, the revelation, the narratives used, the laws, the

'Mass education has not brought a decline in religious observance. It Essay

'Mass education has not brought a decline in religious observance. It has, instead, reconfigured the ways in which Muslims kno - Essay Example With time, some of the traditional ways of people have faded away all thanks to the changes that the world has undergone. Everything has taken a turn to a certain direction. The economy has changed; the social lives of people have changed, and the cultural life of people and political atmosphere are different from the past. Whether all this changed have happened all for the positive reasons is yet unknown, but one thing is clear in all this; individuals have become more aware of their surroundings. They have come to see that the world around them is changing. They have acquired the knowledge and are literate enough to distinguish between things. This is one of the major developments that have occurred. Individuals have become more literate. They have come to learn more, and this brings them closer to understanding the changes that have occurred. Literacy has been something that has been taken seriously and it is considered a necessary aspect in the development of an individual. Peopl e now value the aspect of education more than they did a time ago (Kaplan, 10, 2006). They have become literate, and all this is because of development and change. Literacy has brought change in politics, economy, culture and tradition and the social lives of people. ... Much to the contrary, mass schooling and literacy have heightened the public interest in Islam and widened access to Islamic texts. This increasing demand for Islamic knowledge has created a highly charged educational field, where different interest groups and institutions vie for the hearts and minds of Muslims. The main focus will be turned on to two countries that have Muslim influence; Egypt and Turkey (Eickelman, 45, 1992). A number of ethnographic and historical studies that examine the place and politics of Islam in public education will be reviewed in order to give the basis of educational influence on Muslims. By the end of this essay, questions will be answered that relate to literacy and Islam. Questions like, â€Å"What happens to religious socialization when it becomes formalised (set curricula) and centralized (state-controlled)?† will be answered. Another area of interest that will be looked into is the Eickelman’s (1992) suggestion that states that, â₠¬Å"mass education has led to an â€Å"objectification† of Islam†. Also there will be a discussion of Starrett’s (1998) notion of â€Å"functionalization† of Islam – â€Å"putting it consciously to work for various types of political and social projects†. There is also another area of interest that relates to the discussion; Kaplan’s (2006) thesis that the religious nationalists of post-1980 Turkey have promoted an â€Å"Islamic secularity† through school curricula. All this will be put into consideration in order to test whether literacy has brought Muslims closer to them realizing their true heritage and embracing it. Public education is not, of course, confined to formal schooling. Saba Mahmood (2005), for example,

Total reward system proposal Coursework Example | Topics and Well Written Essays - 2000 words

Total reward system proposal - Coursework Example to the overview provided above, it is clear that Rational Holidays will only be capable of meeting its HR needs if it adequately accomplishes a number of crucial elements. According to WorldatWork (2007), the primary aims of a TR strategy are to communicate a unique value proposition that sufficiently meets the needs of current and potential employees in order to minimize unnecessary employee turnover. Secondly, the strategy aims to offer a framework for the design, administration and communication of rewards programs by employers. To achieve these objectives, Rational Holidays must conceive a suitable strategy involving the various elements: The first element is to lay out the company’s strategies. In other words, the firm must first articulate its core values together with its business strategies. Particularly, the firm must spell out how the proposed strategy will ensure that the business needs as well as aims are met. In addition to this, the company will need to stipulate exact timelines when goals are set to be achieved. The second vital element that be encompassed in the TR strategy is the statement of the firm’s overall objectives. It is well-known that multinational companies operate in an environment that is highly diverse, from a number of perspectives. Apart from the diverse legal requirements involved, multinationals have to respond to different customer needs, just the same way that it has to deal with the demands and conflicting opinions of numerous shareholders. As a result, the TR strategy for Rational Holidays will need to include distinctive statements that outline how the system will uphold these diverse needs. To accomplish this, the approach will need to clearly delineate the roles that will be played by every reward element. The third element is prominence. Every TR strategy ought to give a general description of the superiority of compensation rewards over other tools with an impact on actions as well as decisions. To achieve this

Module 2 (edited) Essay Example | Topics and Well Written Essays - 500 words

Module 2 (edited) - Essay Example Most of this development was achieved on the abundant natural resources that Thailand homes. What resulted in the end due to the excessive reliance on natural resources, were polluted water, infected air and barren land. Ever since the economic turmoil, consumers in Thailand have changed their spending habits to deal effectively with the ongoing economic crisis. With the exports already suffering due the global trade slump, Thai was unlucky to experience some very severe political tensions on top.With the governments initiating two new fiscal policies; situation is sighted to improve by far. A recent survey made use of several closed end questions, which makes comparison easier (Easterby-Smith et al. 2002, pp.78) - has revealed some very fitting information. People have experienced massive salary cuts and many have found themselves jobless in this situation. People have cut their spending budgets, limiting themselves to what is most needed. Most respondents to the questionnaire admitted that Thai people was growing poorer, which was seriously impacting on the lives of the Thai citizens. As the most important was that over the last decade brand loyalty has been reduced by a very great degree. Buyers have learned to compromise and make their spending more wisely since there is lesser to spend. Brand products are usually tagged at much higher prices than those unbranded, which have resulted in people switching to lower priced articles. This means international and foreign brands have seen a steep decline in their target customers, all of these due to the economic turmoil. Many international brands have adjusted their marketing strategies to appeal to target audiences, such as in the conservative Islamic countries (Karnani, 1984, pp.45). In studying the consumer expenditure pattern of Thailand, it is important to undertake a compressive analyzing of the

How Should the Challenges Posed by International Terrorism Best be Met Essay

How Should the Challenges Posed by International Terrorism Best be Met in the Course of the Next Decade - Essay Example The proficiency and sophistication of the terrorist attacks that we currently face is very different from what we had a decade ago. In the same way, the world is likely to face a new and more dynamic form of terrorism in the course of the next decade. It is necessary that the world gets prepared for this new challenge. Terrorism is a phenomenon that can gladly swipe a whole nation’s population from the face of the world and have the audacity to claim responsibility1. It should not be condoned at any cost. Discussion One of the greatest challenges in the course of the next decade shall be proliferation. This is the acquisition of weapons of mass destruction by terrorist organizations. Currently there are numerous terrorist organizations in the globe. The Al Qaeda movement is one of the most dangerous terrorist groups in the world currently. Even after the demise of Osama bin Laden, it is still assumed that the group is still operational and it will take time to be wiped out. Th ese are poised be regenerate in numbers and might in the course of the next decade. If they are allowed to get their hands to weapons of mass destruction, they shall for sure strike and strike hard for that matter. The next decade holds the challenge of containing the increased number and strength of terrorist organizations2. ... Attacks by national governments are a relatively subtle issue as compared to attacks from terrorist organizations which is the challenge that the world is out to face in the course of the next decade. Nations are easy to diplomatically deal with. They have vested interests which can be put on the table and used as bargain to compel them to refrain from terrorist activities. They can be threatened with sanctions; charges of crimes against humanity in the Hague based International Criminal Court; Free traveling restrictions among others. These might hold governments at ransom and thwart them from getting engaged in terrorism activities. On the other hand, terrorist organizations do not face these challenges. They cannot be cowed with sanctions or travel restrictions and the likes. It is even hard to identify who they really are in the first place. They do not have to come out in the open as heads of nations should. In this regard, the multiplication and intensification of terrorist gro ups is a very huge challenge in the course of the next decade. Meeting the challenge of the increase and intensification of terrorism organizations is a hard nut to crack, and it needs governments and law agencies to be thorough and resilient3. The best way of meeting this challenge is keeping the organizations constantly on the run. If they are allowed to settle down and organize themselves, they are able of lay their hands on extremely lethal weapons of mass destruction. They can cause the world a great deal of havoc. The world needs to hunt them down from the thickest of forests and fish them out from the deepest of oceans. This shall keep them always aloof and wary of their back. They shall concentrate on soliciting more fortified hideouts rather than soliciting