Thursday, October 31, 2019
Company Introduction, Market Segmentation, and Product Positioning Research Paper
Company Introduction, Market Segmentation, and Product Positioning - Research Paper Example Express Vending LLC is a privately-held company in Florida that has a head office and a small warehouse in the area of North Miami Beach in Florida. There are four investors of the company i.e. Jessica Smith, Jones Patrick, Margaret Florence and Michelle Dââ¬â¢Souza. Jessica Smith and Jones Patrick are the co-founders who have both an experience in the vending machine industry and have the expertise in running an entrepreneurial business. Margaret Florence has proficiency in the financial industry as she has worked for two well-known financial institutions in the last ten years and Michelle Dââ¬â¢Souza will bring her marketing, operational and management skills to the company for ensuring that the business operations are smooth and effective. Once Express Vending LLC is successful in its local market, it will expand into the European market as it is vast and has a lot of opportunities for growth. Currently, the European market has a limited number of companies who are offering their customers reasonably priced machines and equipment for their restaurants; hence, the company will target those customers who are looking for innovative and top quality vending machines and equipment for the food and beverage at prices that are affordable by them. ââ¬Å"The mission of Express Vending LLC is to be the dominant company in both the vending machine and the restaurant equipment industries by providing easy access to a wide range of unique, high quality and innovative products at reasonable prices. We believe that we will be successful in meeting the needs of our customers by developing close contacts with them so that we have cordial relations with them. Express Vending LLC will earn adequate stream of profits from its operations so that stability can be sustained and even finance the future growth avenues. We will ensure that all our business operations are conducted in an ethical
Tuesday, October 29, 2019
Mangment Essay Example | Topics and Well Written Essays - 250 words - 3
Mangment - Essay Example Managers find it difficult to budget the money for pay increase of the employees. They also know that employees would be demotivated to know that their hard work would not be rewarded with pay increase or addition of privileges and perks. I think that the greatest challenge for a manager in performance management is to track down and record employeesââ¬â¢ performance throughout the year or interval. Some wrong areas that managers focus on while managing performance include long gaps between performance appraisals, highlighting only the deficiencies of employees with no mention of their good points, establish performance as the only criterion for pay increase. Managers are also misled in their decisions by the power and age of an employee. I think about managing performance annually, but believe that this should be conducted much more often, like monthly. The biggest concern is to be able to justify the decisions without demotivating the employees. This is a concern for me because I am poor at collecting daily records of performance. Most important skill in performance management, for me, is accordingly to be able to keep track of employees performance because this is tedious work and seems so unrelated to the organizational tasks at
Sunday, October 27, 2019
Communication and Relationship Building In Patient Care
Communication and Relationship Building In Patient Care Communication and relationship building are two concepts which enables health and social care practitioners to deliver a service/care that is person centred. Ferguson et al. (2013) defines patient centred care as care that focuses directly on the patientââ¬â¢s needs. This requires healthcare practitioners, such as nurses and doctors, not only to be able to communicate well with patients but also to build good, strong relationships with them over a period of time if necessary so that they can counsel patients effectively (Reynolds, 2009). In child nursing, family-centred care is used as well as patient centred care, as parents or carers will be the ones to make the decisions about their child unless the child is capable of doing this themselves. Even so, in this situation the needs of the child still have to be met (Young et al., 2006). Fegran (2008) suggests that family-centred care, which is care focused on the patient and their family holistically, has been found to be the best approach in neonatal and paediatric clients. Communication and relationship building are vital to ensure that the client receives the correct possible outcome for their needs. Communication is a necessary fundamental value of patient centred care (Bensing et al., 2000). Department of Health (2010) define communication as an exchange between two or more people to pass on information, thoughts or feelings and suggest that there are two ways in which this can be done; verbally (e.g. speech, written word) and non-verbally (e.g. facial expressions and body language). The study of the origins of ââ¬Ëcommunicatioââ¬â¢ are sharing or distributing (Mackay, 1999). Blom-Cooper et al. (1996) found that in the past, communication skills have been seen to be a weakness of the NHS and have often resulted in malpractice claims such as miscommunication of confidential patientsââ¬â¢ details which can have serious consequences. Hence, Moss (2008, p.1) states that Communication skills are therefore at the very heart of people work. Non-verbal and verbal communication together increase the personsââ¬â¢ understanding of the message being conveyed by five times the amount compared with verbal communication alone (Argyle, 1992). Non-verbal communication relies on interactions such as facial expressions and body language. Touch is also a type of nonverbal communication and can be used to express care, empathy and solace (Reynolds, 2002). On a recent placement at a neonatal unit, positive touch and massage was found to be a great comfort for certain individuals and staff encouraged parents/carers to use this technique if the baby was too ill to handle. Positive touch and massage have a calming influence over the infant and help to build up a relationship between the child and the parent (Bond, 2013). Therefore on future assessed placements, positive touch will be used and encouraged with others as it proved an excellent general technique found to help calm infants and aid parents/carers bond with their child. Verb al communication relies on the content of speech but can also be in various written forms such as emails and text messages. (Hargie, 2011). Verbal communication can be used on placements to speak to other staff, parents and patients. From experience and Cockcroft (2012), writing care plans and daily evaluations for the next staff member who looks after the child is essential as they can see any changes made, any issues had and any messages that need conveying. Sensory impairments such as deafness, blindness or multi-sensory impairments (MSI) must be taken into consideration, as the persons ability to communicate and receive and understand crucial information is severely strained. (Sense [no date]) It should also be understood that if someone has MSI, then other senses are likely to be impaired so problems may occur with spacial awareness, balance and over/under sensitive touch. These problems can cause difficulties with non-verbal communication methods. Individualised care is pivotal as every patient will have preferences as to how they will communicate with others. Sense [no date] discuss that relationship building may take slightly longer with a person with a sensory impairment as they may not be able to pick up on verbal or non-verbal communication used by practitioners, for example a blind person will not be able to pick up facial expressions used and a deaf person will not be able to pick up changes in the tone of voice used. When vis iting a hospital environment, parents/carers should be encouraged to continue the childs communication system and routine as much as possible, as this will help to reduce stress and the childs fear levels. Sense [no date] realise that it is important that the hospital staff understand how the child usually communicates e.g. sign language, gestures or technical aids. On my last placement I observed that it only takes a short amount of time for parents to get to know their infants behaviours, likes and dislikes and requirements. Therefore, on my next assessed placement, I will be able to quickly recognise non-verbal indicators of the infants needs such as crying and facial expressions. A practitioner needs to have good communication skills so that they can take the background of the patient and be able to explain and give information correctly, explore the patients current situation, discuss and negotiate options such as treatment plans, convey precise data to associates and present their co-workers with the patients case. (Xie et al. 2013) All these factors are essential in the communication between colleagues and between different departments to ensure the correct information is exchanged. An example of this from my previous placement is during handover on the ward, where at the end of the shift the next nurse takes over patients that you have cared for. The nurse needs to know everything about the patient such as the previous history of the patient, any medication given or any changes to medication and any serious problems such as apnoeas. If this does not occur then problems will arise when taking care of the patient. Paediatric nurses also need to be able to a pply different communication skills depending on the age of the patient.This was observed during a recent placement on a neonatal ward where staff had to promote and actively engage in communication with parents, as it isnt possible for the patients themselves to understand what the staff need to tell them. This is an approach that is likely to continue continue throughout most of the career of a child nurse, unless the patient is able to understand the message being conveyed. In this case, the type of communication used will need to be changed to engage the patient in the conversation and the planning of treatment if applicable. In relation to practice, a healthcare practitioner should be reminded that not everybody wants what I would want in a healthcare situation (Allen and Brock, 2000, p.48). This is a good first step for assessing how to approach an individual as it allows them to consider what the patient may want, but also about how the patient may communicate. Bensing et al. (2000) found that this type of approach allows focus on the patientââ¬â¢s personality and preferences, instead of just general approach to communication. Allen and Brock (2000) suggest that if the first step works, then the second step would be to keep communicating and working with the patient in the same way if not then other action is required. Allen and Brock (2000) discuss four questions that should be asked in this instance: Is this person an extrovert or an introvert? Is this person focusing on the bigger picture or just specifics? Is this a person analysing using logical implication or the impact on people? Is this per son interested only in the closure or the processing of the situation? These questions will help the healthcare practitioner decide how best to communicate with their client and build their relationship to gain a strong bond. This helps to support a service as the clients will gain confidence in that person and begin to trust them. On my last placement I considered these four questions whilst interacting with a parent on the ward and found I could communicate better with them as I knew how to approach them. In the future these questions will be asked by myself everytime I work with a client. This means I will be able to build up a good, strong, trusting relationship with the clients and this way we can aim to reach the goal we want to achieve much more efficiently. The outcomes of the four questions discussed by Allen and Brock (2000) can also be applied to relationships between people working as part of a team. The questions show that there are different personalities within each t eam of practitioners and people will react differently in different situations. On my last placement a crash call was sent to my mentor and we had to attend immediately. As this was a new experience I tried to remain calm as becoming fraught would not help the situation but afterwards I found myself a little shook up as I realised that the crash call could not have gone as well as it had done. A popular American model for teaching and assessing communication skills is the SEGUE framework. SEGUE is an acronym for Set the stage, Elicit information, Give information, Understand the patientââ¬â¢s perspective, End the encounter (Makoul, 2001, p.23). This can be used by an individual to figure out the best type of communication to use, and how they can apply it to the situation. It also allows reflection and possibly improvement on interactions with patients. Morehouse School of Medicine (2013) describe the actions that take place during the five stages. The first stage would be greeting the patient, establishing the reason for their visit and finding out what the patient knows about their condition. The second stage would be to find out what the patient would like to know about their condition and any problems they may be having. The third stage would be to give them the information they require in a simplified, direct way. The fourth stage would be to acknowledge any change s the patient may have e.g. challenges they face. The fifth stage would be to end the encounter and review the treatment plan if necessary. Gantert et al. (2008) defines relationship building as a relationship that evolves over time by the use of interactions. A nurse-client relationship is constructed to meet the needs of the client and it is imperative that the formed relationship remains professional (CRNBC, 2006). A nurses ability to build good relationships with patients, parents/carers and other healthcare practitioners is vital because the needs of the patient will be met and so it is highly likely that the patient could experience better health (Nursing Times, 2009). McNaughton (2005) suggests that relationships are established by interactions between individuals and through this, trust is built and confidence in the other person is created. This enhances a groups ability to respect each other and work well together to reach a target (Amnis, [no date]). McNaughton (2005) found that collaborative problem solving can only occur when trust is present between the nurse and the client, as only then will the client dis close any anxieties they may have. Amnis [no date] recognise that relationship building is of great importance in healthcare because it allows different groups of people to collaborate so that services provided are of the highest standard. Amnis [no date] also suggest that ongoing relationship building is essential due to extra stresses on the healthcare system, such as budget cuts leading to less staff being employed and an increasing demand on the use of the system. Good relationships are needed within the team as it makes them work more effectively together and this is achieved via good communication skills. A previous neonatal placement taught students that the stronger the bond with the babys parents, the easier it was to influence and support them with any decision making. Fegran (2008) found that whilst it is important for the nurse to have a good relationship with the parents, it is essential to encourage a relationship between the parents and baby. This was demonstrated on placement by regular visits from parents and them completing cares for the child, for example changing their nappy and bathing them. Allen and Brock (2000) suggest that if a patient has a similar personality type and share the same behaviours as the practitioner, then the response will be more positive and the client will be more persuasive and easier to talk to. This has also been found to affect patient adherence to treatment (Stewart et al., 1999). This is not always applicable to every situation as not everyone has the same interests, and parents make vital decisions on behalf of their child. However, by healthcare practitioners speaking to parents and relatives and trying to find a common interest, they may feel more involved and much more likely to admit if they have a concern. This can be applied to any future placements as once parents and relatives establish a relationship with you, through the use of communcation, they may feel your advice is more trustworthy and adhere to it. Reeder (1972) states until recently, patients were seen as clients, often leaving important decisions in the hands of the practitioner, and health providers seen as practitioners. However patients are now seen as consumers, and this has given them more power as they expect to be able to voice their opinions, be guided and tell the health provider what they require. Practitioners are now seen as health providers and are able to discuss options and build up a strong relationship with the consumer (Reeder, 1972). However, some patients want practitioners to be mainly responsible for the decisions of their treatment but feel involved in the process at the same time, as the patients feel able to trust the decisions of the professional more than their own. In this situation the practitioner needs to be able to individualise their patient and try and put forth the right decision for that individual, which may result in the same illnesses being treated in different ways. It it vitally import ant that the consumer is able to communicate and trust the healthcare provider (Mendick et al., 2010). From previous experience I feel this as a patient myself because if I didnt trust my consultant then I would not have agreed to a complex operation which could have had serious implications on my life had it have gone wrong. In terms of paediatric nursing, it is important to discuss options with the clients parent/carer as they are the ones to make the ultimate decisions, after a relationship has been established. Consequently, on my next placement I will communicate well using both verbal and non-verbal skills and use not only patient-centred care, but family-centred care. Good relationships between the patient and the practitioner are key to patient centred care, however paediatric nurses also need to work in partnership with the family as this achieves the best outcome for the child. This was found during my first work placement as by working with one of the babys fathers, the baby was able to go home earlier than expected. The father learnt how to change a nasogastric tube so that he would be able to to do it at home as well as feeding the baby via the tube. A study found that instead of just focusing on the medical problem the child may have, building a relationship and supporting a family whilst helping to sort out the medical problem at the same time is essential for a child nurse. This approach is more individualised care as opposed to using general medical nursing skills (Robinson, 1982). This was observed on a previous placement as all staff focused primarily on the childs medical problem but also on building a relationship with the family by keeping them up to date on their childs condition, communicating with the family during visits and including them in the childs daily routine so that they feel included. In conclusion communication and relationship building is essential for efficient patient centred care.
Friday, October 25, 2019
James Joyces Dubliners - Anger and Misery in Counterparts Essay exampl
Dubliners - Anger and Misery in Counterparts If one story in Dubliners can be singled out for its overly disturbing qualities, then "Counterparts" would be it. In this story the reader witnesses the misery that people in Dublin pass on to each other and through generations. Joyce introduces us to a character that at first is mildly amusing. Farrington is a working-class man that, like so many others, has to put up with verbal abuse from his boss. At first it is comical to watch him outline his speech he will give to his friends about how he wittily insulted his boss. However, we soon learn that he is a very angry man with rage dangerously building up with no acceptable outlet. Where the anger stems from is very important. As we learn he has no power, no sense of true self. He is mentally paralyzed, one symbolic man, representing Dublin for Joyce. And the inherent danger for this paralysis is demonstrated at the shocking and terribly disturbing ending. First though we see the rage that he built up during his day. Though not shown, undoubtedly this rage has been building in him over years. "A spasm of rage gripped his throat for a few moments and then passed, leaving after it a sharp sensation of thirst" (Joyce 87). It is rather obvious what it leaves him thirsty for. Despite (or rather because) of the urgency to finish his work he sneaks out of the office for a drink. This business of leaving to drink is not in response to stress, we learn it is a compulsive habit. When returning to the office Farrington is asked where he was. He does not answer, but the questioning clerk does for him "'I know that game, he said. Five times in one day is a little bit...'" ( Joyce 89). Exacerbating the idea of a powerless man is the iron... ...o each other. Farrington and Mr. Alleyne are physical opposites, yet they complete the picture of a paralyzed, dysfunctional Dublin. Mr. Alleyne can not treat Farrington as another human being, Farrington is a machine, a means to production. Farrington can not get any power over Mr. Alleyne despite his physical advantage. His counterpart, his complement is to drink and beat his frustrations out of himself using his son. His unfortunate son is the counterpart to his father's anger. A perverse release necessary if Farrington is to have a semblance of sanity. Works Cited and Consulted Joyce, James. Dubliners. Penguin Books: New York, 1975. Tindall, William York. A Reader's Guide to James Joyce. Noonday Press: New York, 1959. Walzl, Florence L. "Dubliners." A Companion Study to James Joyce. Ed. Zack Bowen and James F. Carens. Greenwood Press: London, 1984
Thursday, October 24, 2019
Online Games Essay
As time passes by, technology continues to evolve. Because of technology, new things were created that sustains and lightens human work. Computers were created because of technology. Computers were the greatest things ever invented by man itself. In the modern age, computers have become a part of manââ¬â¢s life. Computers with the aid of modern machines made almost all the things around us. From the edited books, computers made all design, special effects in movies, and televisions etc. Along with the evolution of technology, computers continue to upgrade as well until the time that computer has now become a part of manââ¬â¢s everyday life that are hooked to computers. Computers can now edit documents to your PC, play mini games, search information you need using the internet, save documents to your PC and play online games. Itââ¬â¢s like an all-in-one gadget that can do all the things you want anytime you need it. STUDY HABITS During the pre-school age, a self-study habit must be develop. Self-study habit can be defined as the ability of the learner to allot time in reviewing and reading his/her lessons. It is gradually developed as the learner grows and matures. Different learners have varied style of study habits. Some study after arriving from school, while others do it at the middle of the night. Unfortunately, developing these skills requires time, patience and effort from the parents, teacher and the learner himself. Additionally a very high level of intrinsic motivation must be present to have this. It cannot be underestimated that self-study habit is one of the foundations of educational achievements. Those who excel in school have the strict practice of study habits. Learning from school were not enough for the learners to fully learn. The learner himself must have his own time where s/he can concentrate and reflect. His self-study habits must be done in a conducive learning environment which is free from possible distractions. ABSENCES Poor Grades * At all levels of schooling, classroom absences can lead to poor grades. This is because students are not present to learn the material and generally perform poorly on tests. In higher education settings, professors often are allowed to set their own policies on how absences directly affect a studentââ¬â¢s grade.
Wednesday, October 23, 2019
Analyse the dramatic effectiveness in Act 3, Scene 5 Essay
Looking closely at the characters and language in Romeo and Juliet, analyse the dramatic effectiveness in Act 3, Scene 5 William Shakespeare wrote ââ¬Å"Romeo and Julietâ⬠in 1954, although the basic plot can be traced back as early as the third century. In the play, Shakespeare relies heavily on the poem ââ¬Å"The Tragicall History of Romeus and Julietâ⬠by Arthur Brooke. Most of the people in the Elizabethan era were perceptive enough to concentrate on how the play was being performed and engaged themselves in the language the characters were using. Shakespeareââ¬â¢s audiences had different expectations towards his play, as many of them recognised the story already, they were settled enough to watch it providing the dramatistââ¬â¢s interpretation proved to be unique and original. I have been looking closely at Act 3, Scene 5 where Romeo and Juliet have just been secretly married. The scene opens with the two lovers having to part quickly after the Nurse informs Juliet her mother is swiftly approaching. Already a dramatic atmosphere is created, the audience is almost waiting for Romeo and Juliet to be caught out, this they know can simply not happen. Juliet is understandably tearful; Romeo is sympathetic towards her, showing he really cares for her: ââ¬Å"I will omit no opportunity That will convey my greetings, love, to theeâ⬠All this is in comparison to later scenes in the play showing Juliet solitary and unsupported. Between the two lovers, there is a great difference, Romeo appears more optimistic than Juliet who is full of fear, sensing premonitions of her next seeing Romeo dead in a tomb. Her premonitions affect the audience, making them apprehensive and tense: ââ¬Å"O God, I have an ill- divining soul! Methinks I see thee, now thou art so low As one dead in the bottom of a tomb. â⬠The audience hears these harsh, severe words and are reminded of Romeoââ¬â¢s earlier startling premonition that he would die young: ââ¬Å"â⬠¦. My mind misgives Some consequence not yet hanging in the starsâ⬠¦.. By come vile forfeit of untimely death. â⬠A chilling effect is created on those viewing the play as they start to realise and understand the significance of the two premonitions. By looking back into earlier scenes, dramatic effectiveness is created. Juliet uses language that shows how she is fearful of how her life with Romeo could easily be destroyed. She speaks to him strongly, showing a strong contrast to her soft words used previously. The strong bond that has been created between the two lovers before the audienceââ¬â¢s eyes is momentarily going to be destroyed; tension is created as an aftermath of this feeling. This tension carries on and becomes hugely greater as the news of County Parisââ¬â¢ proposal is first heard of. The audience watch, already aware of the proposal, as the news is given to an extremely shocked Juliet. They wait anxiously for Julietââ¬â¢s sake as she learns of it, and so a dramatic effectiveness is cast over them. The scene is made effective by the use of irony from Lady Capulet. As Lady Capulet refers to her ââ¬Å"joyful tidingsâ⬠and Julietââ¬â¢s response is ironically a pleased one: ââ¬Å"And joy comes well in such a needy timeâ⬠But then the audience sees the real reason of Lady Capuletââ¬â¢s announcement and the hesitation of the crucial words proves to be highly dramatic, ââ¬Å"Shall happily make thee there a joyful brideâ⬠Julietââ¬â¢s intense anger would make great drama on stage, she shows her raging reaction well: ââ¬Å"Now by Saint Peterââ¬â¢s church and Peter too He shall not make me there a joyful bride! â⬠Julietââ¬â¢s response shows exactly how she is feeling about the matter; she does not hold back at all. The audience knows the dilemma she is facing, one of bigamy, they are deeply involved and show much needed sympathy to Juliet. In the conversation that follows the cold and sharp language both Juliet and her mother used are very effective. Both sides address each other very formally, Juliet calling Lady Capulet, ââ¬Å"My Ladyâ⬠, ââ¬Å"Motherâ⬠where Lady Capulet calls Juliet ââ¬Å"girlâ⬠and ââ¬Å"childâ⬠. This doesnââ¬â¢t seem to be the language one would expect from a close knit and loving family. This could lead to the conclusion that Julietââ¬â¢s relationship is far from the relationship she has with Romeo; a loving and stable one. When Lord Capulet enters Julietââ¬â¢s room, it proves to be a significantly dramatic scene because of the violence and fury portrayed by Lord Capulet. He arrives in her room in a threatening manner; his wife shows fear warning us to expect the worst, ââ¬Å"Here comes your father. Tell him so yourself And see how he will take it at your hands. â⬠Lord Capulet does not expect Juliet to disobey him, he would simply expect grateful thanks and obedience from his daughter. He portrays himself as someone who is used to getting his own way and the way that he regards himself as royalty emphasises to his huge ego and elevated formal language,â⬠Have you delivered to our decree? â⬠He shows great enthusiasm as he enters Julietââ¬â¢s room, he seems delighted with his plan and congratulates himself on stage. Being the only man on stage, he is showing domination and the audience can see that he likes to be in control. He makes the women afraid; his centre role on stage shows this. The language that he uses is indeed very dramatic and effective. He poses questions to Juliet, being sharp and short when he does so showing how bewildered he is, and he vociferously attacks his daughter overwhelming her with numerous with numerous questions which she does not have time to answer, ââ¬Å"How? Will she none? Doth she not give us thanks? â⬠Capuletââ¬â¢s sentence construction is cleverly disjointed emphasising greatly on his anger that is building up rapidly. He shows more of an interest in finding a way to answer Julietââ¬â¢s questions and his concern is more about his cleverness than the distress of his only daughter. He uses aggressive terms to Juliet, â⬠you greensickness carrionâ⬠, â⬠young baggageâ⬠, both examples are very aggressive and devegiating.
Tuesday, October 22, 2019
The History of Pi Essays - Pi, Approximations Of, Free Essays
The History of Pi Essays - Pi, Approximations Of, Free Essays Pi The History of Pi A little known verse in the bible reads And he made a molten sea, ten cubits from the one brim to the other; it was round all about, and his height was five cubits; and a line of thirty cubits did compass it about(I Kings 7, 23). This passage from the bible demonstrates the ancient nature of the irrational number pi. Pi in fact is mentioned in a number of verses throughout the bible. In II Chronicles 4,2, in the passage describing the building of the great temple of Solomon which was built around 950BC, pi is given as equal to three. This value is not very accurate at all and should not even be considered accurate for its time, however it should be noted that precision was not needed for the task that was being performed and we should let the general concept of pi that the biblical characters posses impress us. Present knowledge suggests that the concept of pi first developed in 2000 BC in two separate cultures. The Babylonians used pi at a value of 25/8 while an entirely different culture, the ancient Egyptians used pi at a value of 256/81. While the biblical calculation of pi=3 most likely came from crude measurement, there is strong reason to believe, because of the relative accuracy of the values, that the Babylonians and Egyptians found pi by means of mathematical equations. In the Egyptian Rhind Papyrus, which is dated around 1650 BC, there is strong evidence supporting that the Egyptians used 4(8/9)2 =3.16 for their value of pi. At that point in history, and for the majority of modern history, pi was not seen as an irrational number as it is today. The next culture that investigated pi was the ancient Greeks. Starting in 434 BC Greeks were unraveling the mysteries of pi. The mathematician Anaxagoras made an unsuccessful attempt at finding pi, which he called squaring the circle and in 414 BC, 20 years after Anaxagoras failed in his attempt to square the circle, Aristophanes refers to the work of Anaxagoras in his comedy The Birds. It took over 100 years for the Greeks to finally find a value for pi. In 240 BC Archimedes of Syracuse showed that 223/71*pi*22/7. Archimedes knew, what so many people today do not, that pi does not equal 22/7 and he made no claim to have discovered the exact value of pi. However if we take the average of his two bounds we obtain pi=3.1418, which was an error of about 0.0002. Archimedes found the most accurate value of pi up to that time and his value would be used exclusively until the next discovery in the world of pi. The next major finding concerning pi did not occur in the western world, but in China by Tsu Chung-chih who approximated pi at 355/113 in 480 AD. Next to nothing except for this work is known about Tsu Chung-chihs life but it is very unlikely that he had any awareness of Archimedes work. We shall now notice how during the dark ages of Europe, the lead in the research of pi is passed to the East. Aryabhata, working on his own in Persia without any outside information in 515 AD was able to approximate pi to 3 decimal places. A mathematician from Baghdad named AlKhwarizimi worked with pi however the most accurate finding of pi to date was found even more east in Samarkand by Al-Khashi. In 1430 AD he approximated pi to 16 decimal places, the most to date. His work however, would be the last of note from the east as the European Renaissance brought about a whole new mathematical world. The first notable discovery in the approximation of pi from the European Renaissance was by Viete in 1593 AD. He expressed pi as an infinite product by using only 2s and square roots. In 1610 Ludolph van Ceulen demonstrated the new thought coming out of the Renaissance by calculating pi to 35 decimal places. Around the same time, Snell refined Archimedess method of calculating pi, and Snells work was used by Grienberger to calculate pi to 39 decimal places in 1630. In 1655 Wallis showed that pi/2=2/1*2/3*4/3*4/5*6/5*6/7*8/7*8/9..... The 18th centuary brought about great
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