Sequence, Series, and Sigma Notation Essay Example

Sequence, Series, and Sigma Notation Essay We oftentimes encounter a string or list of numbers which follows a specific pattern and order as can be seen in the following scenario. Consider the case of a man who wants to train for a full marathon. Blake started training for a 21-km run a month prior to a marathon. In order to build stamina, he decided to gradually increase the distance he runs each training day. On the first day, Blake ran total of 3-km. On the second and third days, he ran 5 and 7km, respectively. For the succeeding five training days, he ran 9, 11, 13, 15 and 17 km. What distance do you think did he cover for the next two training days? Since the distances he covered daily follow a pattern, we are almost certain that he ran 19 and 20 km for the next two training days. Sequence In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed. Like a set, it contains members (also called elements, or terms). The number of elements (possibly infinite) is called the length of the sequence. Unlike a set, order matters, and exactly the same elements can appear multiple times at different positions in the sequence. Formally, a sequence can be defined as a function whose domain is either the set of the natural numbers (for infinite sequences) or the set of the first n natural numbers (for a sequence of finite length n) We will write a custom essay sample on Sequence, Series, and Sigma Notation specifically for you for only $16.38 $13.9/page Order now We will write a custom essay sample on Sequence, Series, and Sigma Notation specifically for you FOR ONLY $16.38 $13.9/page Hire Writer We will write a custom essay sample on Sequence, Series, and Sigma Notation specifically for you FOR ONLY $16.38 $13.9/page Hire Writer Infinite Sequence a sequence that has an infinite number of terms Finite Sequence a sequence having a finite number of terms Term – number in sequence General term – Finite Series – sum of the terms of a finite sequence denoted by: Sn = a1 + a2 + a3 + . . .+ an Recursive Formula A formula which requires the computation of previous values in order to obtain the next one is called recursive formula. Recursion is a useful way of obtaining the terms of a sequence. However, it becomes tedious to use when we are only interested in a specific term. Sigma notation or summation notation Another way for writing the su

selfhelp groups essays

selfhelp groups essays Self-help groups consist of individuals who share the same problem or concern. Members provide emotional support to one another, learn ways to cope, discover strategies for improving their condition, and help others while helping themselves (Wituk, Shepherd, Slavich, Warren, There are several goals to self-help groups. When polled, sixty-one percent of self-help groups said that their most important goal was providing emotional and social support to members. Thirty-two percent said that providing information and education to members was the most important goal. A few other goals were advocacy, special events, and fundraising. Some of the supports to members in self-help groups are telephone support, peer counseling, and buddy systems. With such overwhelming statistics, its a shame that most social workers dont know of any self-help groups other than Alcoholics Anonymous and Narcotics Anonymous. There are hundreds of groups that social workers should be familiar with so that they could refer clients to them. (Wituk et al., 2000). The setting of self-help groups is usually pretty relaxed. Groups are affiliated with either a national group or a local group. Social workers are not always involved with self-help groups. The ones that are involved are not always the leaders, but merely someone that helps the conversation along (Wituk et al, 2000). Social Workers need to learn what self-help groups there are in their area, so they can refer their clients to them. Social workers can get a copy of the National Self-Help Sourcebook to learn about groups in the United States. They should thoroughly check out these groups to make sure that they are still functioning before they refer clients to them. Social workers should keep a record of all the self-help groups that they can find in their area. This list should also be kept up to date. Clients should be referred to several prog...

The Law on Race Discrimination Has Undergone Transformation over the Essay

The Law on Race Discrimination Has Undergone Transformation over the Last 15 Years due to a Number of Significant Issues - Essay Example Thousands of people report cases of workplace discrimination by personal characteristics. Some of them are decisive enough to go to the court. Reasons why anti-discrimination laws appear to be ineffective are numerous and diverse. Basically, contemporary anti-discrimination laws are limited to negative torts against workplace discrimination; as such, they do not promote positive attitudinal changes in private business and do not provide conditions required to protect workers from unlawful discrimination. Discrimination: The current state of law Understanding why discrimination continues to persist is impossible without looking at the current state of anti-discrimination laws in Europe and America. For many years, the developed world had been concerned with the issue of workplace discrimination and possible ways to deal with it. As of today, the United Kingdom, the European Union and the United States run whole systems of anti-discrimination laws which, nevertheless, do not bring the desired effect. In the United States, Title VII of the Civil Rights Act of 1964 is the central component of the country’s anti-discrimination legislation that applies widely across private and public organizations. The discussed law is followed and complemented by the Age Discrimination in Employment Act (ADEA). The latter goes beyond the problem of racial discrimination and prohibits discrimination on grounds that are not recognized by the U.S. Constitution (Rutherglen 1995). In the United Kingdom, the Race Relations Act (1975), the Sex Discrimination Act (1975), as well as the Disability Discrimination Act (1975) create the basic trio of laws, followed by numerous amendments that currently govern the issues of workplace discrimination in the country. It should be noted, that the past decade witnessed an unprecedented rise in the number of anti-discrimination amendments passed by the British government (Fredman 2002). Nevertheless, the issue of workplace discrimination remai ns extremely relevant for Britain. Even in light of the Treaty of Rome and the Treaty establishing the European Union, Great Britain and other countries of Europe have been consistently unable to fight discrimination in the workplace. Given the growing extent of globalization and unification within the European Union, it comes as no surprise that the prevailing majority of EU anti-discrimination laws apply to the issue of free movement of migrant workers across EU member-states. According to the European Court of Justice, â€Å"a provision of national law must be regarded as indirectly discriminatory if it is intrinsically liable to affect migrant workers more than national workers and if there is a consequent risk that it will place the former at a particular disadvantage† (Commission v. Greece 1998). As such there is still no consistency in how the issue of discrimination is being managed. The situation in Australia is no better: as of today, Australia’s anti-discrim ination laws include Age Discrimination Act 2004, Australian Human Rights Commission Act 1986, Disability Discrimination Act 1975, Racial Discrimination Act 1975, and Sex Discrimination Act 1984. It is no wonder that these laws and numerous amendments create a great deal of confusion and make it difficult for public and, especially, private enterprises to avoid legal complexities and protect their employees from abuse. Discrimination in the workplace: Still an issue? With so many laws governing the issue of work

St. Augustine and Telemachus in Homers Odyssey Essay

St. Augustine and Telemachus in Homers Odyssey - Essay Example Unlike Monica to the young Augustine, Penelope did not share any knowledge or wisdom to Telemachus. Instead, there were even times that it was Telemachus that rebukes her. In Book 1 of the Odyssey, Telemachus rebukes Penelope for her bereavement which was caused by a song. In Book 23, he rebukes her for not welcoming Odysseus properly. In my observation, Telemachus' respect for Penelope rose from the fact that she was his mother but not because she was wise and Telemachus looked up to her. With respect to their father's Telemachus was closer to his father than the young Augustine was. Although Odysseus was away the whole time Telemachus was growing up, it was actually his absence that caused Telemachus to step up, take responsibility and be a man. And the little time that they spent shortly after Odysseus returned to Ithaca and during their battle against Penelope's suitors was enough to greatly influence Telemachus' maturity. On the other hand, Patrick has less influence on Augustine. He did make young Augustines' study in Carthage possible. And as a pagan, he did provide Augustine alternative principles to Catholic faith. Though I believe that this was a great reason why Augustine was so open-minded, I think it was his mother's faith and wisdom that ultimately influence Augustine's view. Augustine believed in only one God who plays passive role in people's lives. That God creates people in goodness but lets them live their own lives as they will. He even believed that God is not a separate being and it is actually within him, within everything. On the other hand, there were many Greek gods in Telemachus' life. Contrary to what Augustine believed, Greek gods are separate beings. They have names, personalities and even relationships. And they also play a very active role in people's lives. They talk to them either thru dreams or by disguising as humans. They even help them out in battles. Their Search for Knowledge All his life, he sought for knowledge. He went out to study at Carthage, Rome and Milan. He devoted his entire existence seeking for the truth in faith, sciences and philosophy. And he even had to deal with inner conflict in the process. Telemachus went on a journey as well. But unlike Augustine's quest for knowledge on greater things such as life itself, Telemachus' quest was limited only to seek for knowledge on his father's whereabouts. And despite such journey, his acquisition of any information was greatly because of the gods. Athena fed him information either by disguising as Odysseus friend or sending messages in his dreams. Conclusion In my opinion, Telemachus and Augustine's process of coming of age was very different. They differ as to how they regard their parents and who ultimately influenced their persons. For Telemachus, it was his father that greatly influenced his being. On the other hand, for Augustine, it was his mother that influenced his ideals and principles. They also differ on how the gods affects their living. For Telemachus, the gods actively participated in his activities. But for Augustine, God served only as a guiding force. However, for me, the most important difference in their maturity is this. For Telemachus, it is my opinion that maturity was imposed on him. If his father was not absent, there would not be any annoying suitors courting his mother. There would not be a need for him to take responsibility and

Drug Trafficking Is A Common Economics Essay

Drug Trafficking Is A Common Economics Essay Drug trafficking is a common trade in Mexico. Owing to its geographical location, Mexico strategic position in terms of drug supply, market demand, and distribution, the barons enjoy huge profits from the trade. Mexico neighbors Columbia, which is the world largest cocaine producer, and the U.S., which is a leading consumer of illicit drugs. Drug Trafficking Organizations in Mexico have a large network of illicit drugs supply. The Mexican laws against drug trafficking pose a major threat to the US drug customers since the laws threaten to cut down the drug trafficking avenues. However, the drug trafficking organizations are well organized and distinguished in order to conceal their illicit activities. This paper addresses similarities between the operations and activities of Mexican Drug Trafficking Organizations (DTOs) and those of legitimate international businesses. Mostly, the drug trafficker pose as money launders in order to invest their vast sums of cash obtained from the trade  [1]  This serves as a disguise since; they are able to channel their money to different investments, such as money laundering  [2]  .Like the international trade, the drug trafficking business is well- organized, with various marketing networks around the world. Drug trafficking is a business operation whose marketing techniques include smuggling, extortion, and threat, product line, and other outlawed items. The drug trafficking business is similar to a legitimate business venture, and sometimes has a corporate executive organizational structure, with support staff  [3]  The illegal business of drug trafficking survives due to pretense of undertaking legitimate business or through infiltration of legitimate business. In case of infiltration, the drug trafficking business operators use techniques such as protection rackets and immunity. Drug trafficking is a booming business in Mexico, where is it conducted by drug cartels and the Mexican Mafia. The cartels are not declared as terrorists, and this hinders the action of the American law enforcement and financial regulation on the Mexican borders  [4]   Seven drug cartels operate in Mexico. They are Sinaloa, Los Zetas, Arellano Felix organization, Beltran Levya, New Federation, and Familia Michoacana (LFM) cartels  [5]  . These cartels are illustrated as global businesses with backward and forward connections, for supplying and distributing their products in other countries  [6]  . As businesses, their main concern is supplying the markets with the illicit drugs in a most efficient manner in order  [7]  to increase their profits. This is a popular strategy, used by terrorist organizations, which engage in legal business, in order to fund their operations illegally or legally around the world. The Gulf Cartel emerges as a powerful drug cartel in profitability and territory. Los Zetas is extremely dangerous since it is made up of ex militaries from Mexican Airborne, who acts as assassins. Sinaloa Drug Trafficking Organization is more aggressive with an aim of controlling Drug Trafficking Organizations in Mexico. The LFM is a combination of criminal, social, and religious aspects, which leaves no marks on the corpses, and the crime scene, thus their actions are known as the divine justice acts  [8]  . Mexican cartels have various sub-divisions, with a vertical chain of command, originating from Mexico. The organization has surrogates throughout the U.S., who runs daily operations in the different countries. Mexican operators issue guidelines concerning transport of drugs, warehousing and money laundering services. Legitimate international businesses are well organized with their operations based in many countries. There is a chain of command in every business in order to avoid chaos and maintain uniformity in the operations. Use of violence is a common strategy, used by the gangs in order to protect their trading interests. However, these activities are carefully executed in order to avoid being caught. The aim is to create terror, which seeks to belittle the government ability to provide adequate security to the citizens. The drug traffickers in Mexico aim at undermining the government, in order to carry out their illicit trade activities without any threats from the authority. They want to create a free market in disguise, and fight for this freedom indirectly. Legitimate trade operates with minimal restrictions from the government and the drug traffickers want to acquire the status. There are willing buyers, and many people are using drugs such as heroin and cocaine, which the Mexican drug traffickers are willing to supply  [9]  .Legitimate international trade has willing buyers and sellers. Drugs have ready markets especially in the United States, with the suppliers having distributors in these regions. Their connections in the global context assist them to distribute the drugs easily. Legitimate international businesses have embraced globalization and can conduct their business freely in any country. They build customer trust and relationship, which enables customers to trust and conduct business with the dealers regardless of the distance. The drug traffickers practice social corporate responsibility in order to fulfill the ethical obligations, just as the legitimate international businesses do. LFM is known for its various donations such as Medicare, food, and school fees in aid for the poor. The drug barons aid the vulnerable and poor in the society in order to expose an inefficient government and damaged infrastructure  [10]  .This is a cover up of their real activities, and the public may mistake them for honest traders with an intention of reaching out to the community. They pretend to be practicing social corporate responsibility in order to disguise themselves. The cartels are dangerous and powerful and can outweigh the military and legitimate police. The illicit trade organizes its activities in a systematic manner, and carries out market research concerning the trade and are well versed with the risks involved  [11]  This is a similar scenario with many legitimate international businesses. The most targeted include vulnerable governments. There is a lot of illicit drugs flow from Mexico to the United States, and both states engage in the blame game concerning the predicament. The drugs have causes several deaths in the last few years, and the Mexican government is wary about the issue  [12]  . They have put up several strategies in order to combat the illicit drug trafficking trade. In order to combat drug trafficking effectively, Mexico advances anti-money laundering strategies in order to combat transnational organized crime  [13]  . Money laundering avails a lot of money to drug barons who re-use it for illicit drug trafficking  [14]  .Money laundering prevention, and dealing with financial terrorism is one of the comprehensive strategies of dealing with organized crime. Legitimate International businesses are against money laundering activities. The Mexico government realizes the dire need to attack the economic power of the drug traffickers in order to weaken them  [15]  .Mexico strives to enhance its bilateral cooperation with other countries in order to combat drug trafficking. Drug traffickers disguise their vast income in money laundering activities  [16]   The drug traffickers center around drug trade, and attempt to fill a specific illegal market niche globally. Legitimate international businesses attempt to supply goods that have willing buyers in the global markets. Illicit drugs such as heroin and cocaine are used by many people around the world, thus the drug barons aggressiveness in meeting the demands. Furthermore, the business is extremely lucrative with high profitability  [17]  . Legitimate international businesses are expected to achieve high profitability. Drug trafficking activities are influenced by factors such as politics, culture, geography, and economics, just like the legitimate international trade  [18]   Mexico is geographically located at a strategic location since it neighbors Columbia, which is one of the most significant world cocaine producers. This makes Mexico to acquire the drugs easily and supply them in the market. On the other hand, the drug dealers have distribution channels in different countries, which enable the goods to reach consumers. The Mexican drug dealers mainly focus on the drug trade, since it is more profitable, and their geographical location favors the trade. Market attractiveness of drug trafficking and the strategic positioning of Mexico enables it to engage in illicit drug trafficking. Drug trafficking takes advantage of the international supply chains, and weak governance in order to introduce the illicit products to the market. The demand for drugs is high and this makes the drug traffickers aggressive in satisfying these markets. Drug trafficking is increasing at an alarming rate, with Mexico experiencing over 47,000 deaths because of drug abuse  [19]  . The drug traffickers have adequate funds and arms, thus presenting a threat to the national security. The barons derive their competitive advantage from factors such as access and control of drug smuggling paths across the U.S., and the ability to obtain, transport and sell major illicit drugs in Mexico. Mexican drug traffickers conduct their trade with great professionalism and ability. They are highly profitable and earn a lot of annual income for the country, just like most legitimate international businesses  [20]  .Most of the drug dealers in Mexico are motivated by money  [21]  .The barons seek to maximize the profit at any prospect and reduce their danger of being caught, or detected. Money is a crucial element in every formal and informal organization and legal or illegal enterprises. Drug traffickers receive a lot of money from their trade, which they invest in money laundering services  [22]  . This empowers them and provides them with the courage to challenge the states institutions and the economic development of a country. Traffickers change their strategies constantly through devising new sources, destinations, and transit zones. Law enforcers fail to deal with the international issues effectively, and the world does not possess effective global strategies f or curbing perennial crimes such as cocaine and heroin trade. The issues originating from organized transnational crime are not adequately addressed in a global context  [23]   According to Olson Wilson, Mexico reported an approximated U.S. $6.2 billion  [24]  , from illicit drug export proceedings. Mexican Drug Trafficking Organizations activities and operations strive to create diplomatic relationships with other countries in order to combat drug trafficking. Drug traffickers operate in a large chain or drug racket, in a different destination. Mexico has to collaborate with other nations in order to crack down the operations. Similarly, legitimate international businesses have to cultivate positive relationships with other countries in order to carry out businesses in those countries. It is hard for a country to combat drug trafficking single-handedly, without the help of the international community. The Mexican drug trafficking organizations (DTO, s), poses a major threat to the drug traffickers especially from the United States, since it is believed that the main customers are from the United States. Although the drug traffickers are not interested in overthrowing the Mexican government, they are keen on weakening the government in order to continue their operations without any interference from the state  [25]  . In order to facilitate their activities in the US, the drug traffickers from Mexico have formed alliances with United States prison and street gangs. These gangs are responsible for drug distribution in the United States  [26]  . According to Shanty et al, illicit drug trafficking has caused many social problems  [27]  ; hence it requires more severe measures to combat.  [28]  Released by Office of National Drug Control Policy (ONDCP) Director Gil Kerlikowske set out goals in many of these areas. The strategy directs federal Agencies to increase coordination and information sharing with state and local law Enforcement agencies, intensifies national efforts to interdict the southbound flow Of weapons and bulk currency, and calls for continued close collaboration with the Government of Mexico in their efforts against the drug cartels.  [29]  Therefore even with the governments efforts to minimise illegal drug trafficking, cartels will always look for loopholes in the system, including using corrupt border officers. The cartels control the trafficking of drugs from South America to the US, a business that is worth an estimated $13bn ( £9bn) a year. Their power grew as the US stepped up anti-narcotics operations in the Caribbean and Florida. A US state department report estimated that as much as 90% of all cocaine consumed in the US comes via Mexico.  [30]  One reason why the government has deployed the army and marines so extensively is that it feels the police cannot be trusted. Drug cartels with massive resources at their disposal have repeatedly managed to infiltrate the underpaid police, from the grassroots level to the very top  [31]   Globalisation aids international trade, although it provides an opportunity for smugglers and traffickers due to an increase in trade regulation difficulties  [32]  Globalisation increases inequality, and this has a disruptive effect, which causes people to resolve to illicit markets, and organized crime as survival mechanisms. Illicit commerce has made a quick global spread in comparison with legal trade. Most transnational crimes begin in one continent and spreads to the others, mostly by a third means  [33]  . This makes it extremely hard to combat such perianal crimes. This was satisfied in a published article: While the Mexican federal government periodically cracked down on drug trafficking, these operations were limited in size and scope  [34]  . Conclusion The operations and activities of Mexican Drug Trafficking Organizations (DTOs) mirror those of legitimate international businesses in many respects. This ranges from their organizational structures to the marketing strategies. The drug trafficking enterprises practice socio-corporate responsibility in order to help the vulnerable people in the society. However, this is only used with an intention of undermining the government prowess and serves as a disguise for their criminal activities. The efforts of the Mexican government have been challenged because the drug rackets are powerful and interconnected in the global circles especially the United States, which is a strong hold market position. Drug trafficking business has various similarities arising from organizational structure, marketing and profitability. Mexico is strategically positioned, in terms of market supply and demand factors, which increases its profitability, and attractiveness. However, the illicit trade has caused many deaths ranging from consumption related deaths to law enforcers death. The dealers can do anything in order to protect their interests.

Bass Pro Shops Business Analysis Essay -- Business Strategy Analysis

Primary Problems/Decisions to be made: Bass Pro shop started as an 8-foot-long display area in the back of a liquor store in 1971 and has expanded into a Fortune 500 company that employs over 8,800 employees and has annual sales estimating somewhere around $1.25 billion today. The question at hand is: should Bass Pro Shops continue to expand, and if so at what rate should they? The primary problems they might face when expanding are as follows. Could expansion hurt their brand image and if so how? The Competition outside of Missouri is going to be much greater. They will not have the publicity and brand recognition as they do in Missouri. Does Bass Pro have the financial resources in order to open new stores, if not then what are some options they can exercise? Will Negative publicity threaten their brand image as they continue to grow? Is the cost of overhead going to be too high initially for Bass Pro to expand at a fast rate, if so then at what rate should they expand yearly? These are all problems Bass Pro is going t o have to face in the future. Through research and extensive problem solving, they will be able to make an accurate decision on rather they should expand. II. SWOT Analysis: Strengths: 1. Brand image: a. Identification with consumer -Store brand name enables product to be accepted and adopted more easily by consumers because of brand recognition 2 Selective Distribution: a. Bass Pro is able to expand the product, name, and experience to a larger customer base without cannibalization of their company by setting a radius limit on how close their stores are built. b. They meet the needs of their target market by building their stores in closer proximity. 3. Unique Store Image: a. ... ... a high brand image; while, maintaining customer satisfaction with existing customers and breaking into new markets. Bass Pro is one of the largest U.S. retailing chains of outdoor sporting goods and has an image to uphold, not only with its name but with its products. Maintaining customer satisfaction with existing customers keeps them loyal. Breaking into new markets helps the company grow and brings in new customers, which leads to higher profit margins. Objectives: 1. Open two stores each year for the next five years. a. Expand at least two of those stores in western states 2. Increase sales by 25% to $1.5 billion in the next 4 years 3. Increase sales to current customers by 5% each year by using innovative technology in order to find more efficient ways to distribute and manufacture our products leading to more competitive pricing.

Pip, Magwitch, Miss Havisham and Estella in Great Expectations

Compare and contrast the presentation of Pip, Magwitch, Miss Havisham and Estella in the opening chapter of Great Expectation Compare and contrast the presentation of Pip, Magwitch, Miss Havisham and Estella in the opening chapters of ‘Great Expectations’. Explain which characters you feel sympathy for and why? ‘Great Expectations’ written by Charles Dickens is a classic Victorian novel and is often regarded as the author’s finest achievement. However it was originally written as a series with each chapter appearing in a newspaper which has an affect on the whole structure.The end of each chapter must be exciting to make the reader read the next edition. In the novel, Dickens manages to express his criticisms of Victorian society, most probably due to his own experiences as a child. In ‘Great Expectations’ sympathy is a key emotion and theme felt by the reader and some of the characters. Dickens manages to make the reader sympathise towar ds the four main characters; Pip, Magwitch, Estella and Miss Havisham despite their different ages, gender, characteristics and social status.In the opening chapter we are introduced to Pip, a lonely orphan, and Magwitch an escaped convict. Magwitch threatens Pip into stealing some food for him as well as a file to get rid of the ‘irons’ on his legs. These two characters are complete contradictions of each other with Pip being described a ‘small bundle of shivers’ while Magwitch is described with animal like characteristics. We can easily understand that Magwitch is dangerous because he has ‘irons’ on his legs, suggesting that he is an escaped convict.At this point the audience will feel sympathetic towards Pip and angrier towards Magwitch because he threatens the innocent and misfortuned Pip. The opening chapter portrays Pip as; innocent, lonely, vulnerable and scared. He is described as a ‘trembling’ ‘bundle of shivers†™ and on a few occasions his speech falters due to his fear of Magwitch. On the other hand, Magwitch, is described as a fearful man in coarse grey, ‘smothered in mud’ and in ‘broken shoes’.His voice is described as ‘terrible’ and he growls depicting him as animal like or with animal characteristics which does not let the reader feel any sympathy for him. From the opening chapter we learn that Pip is an orphan, his parents as well as his brothers and sisters are all buried side by side. He was ‘bought up by hand’ by his sister who is wife of a local blacksmith, Joe Gargery, Pip’s closest friend. This causes the reader to almost instantly feel sympathy for Pip. However the reader’s reaction or feelings towards Magwitch are more likely to be hostile.They may feel that the intimidation or bullying of a vulnerable child deserves no sympathy but by the end of the novel, Dickens manages to justify Magwitch, as the individu als life of the main characters are joined up and all the answers are revealed. The setting is also important. Dickens had decided to use pathetic fallacy in order to reflect the characters’ feelings by describing the surrounding environment. In this case, Pip is almost crying. He is surrounded by the graves of his family and is feeling depressed which is made worse by this sudden appearance by this fearsome stranger, Magwitch.This is shown by the repetition of ‘dead and buried’ and emotive words such as ‘savage liar’, ‘bleak’ and ‘dark, flat and wilderness’ which reflect Pips emotions. In chapter 8 we are introduced to Estella and Miss Havisham, Pip is sent to ‘Satis House’ to ‘play’ where he meets a beautiful but cold hearted, Estella and a rather eccentric Miss Havisham. Pathetic fallacy is used once again as Satis House reflects Miss Havisham’s feelings. When Pip fist sees Satis House, an d Miss Havisham’s room he notices that there were: ‘No glimpses of daylight,’ and that it was ‘empty and deceived’.Miss Havisham’s clothes and herself also seem, melancholy and decayed: ‘everything within my view which ought to be white †¦was faded and yellow. ’ This shows how she’s depressed and old. At first, the reader may feel that Miss Havisham is mad or eccentric. The reader will feel little sympathy for her situation until later on in the novel when they learn the cause of her misery. Although the author does give the reader a clue when he makes Miss Havisham shout: ‘Broken! ’ whilst pointing to her heart.This action will cause intrigue as the story goes on whilst we learn more about the pasts of each character. Both Miss Havisham and Estella treat Pip with disdain. They both insult him. Miss Havisham patronises him by saying ‘you can do that,’ when she wanted him to call Estella. Estel la later exclaims ‘what coarse hands he has’ which later causes him to cry creating further sympathy as the reader is reminded of Pip’s lower social status. Estella is portrayed as very pompous, stuck up and possibly quite cold hearted. Despite this, Pip seems attracted to Estella.He describes her as ‘very pretty’ and ‘seemed very proud,’ although the reader’s attitude towards her would be that she’s too arrogant and possibly spoilt. In chapter 8 there is no reason for the reader to feel sympathetic towards to Estella, however, by the end, she becomes the victim and her situation earns her sympathy although some people may feel that she deserved what she got. In conclusion, in the opening chapters of ‘Great Expectations,’ I believe that Pip earns the most sympathy due to the way he is presented; his frailty and him being an orphan being the key emotional areas.However, later on as we learn more about each of th e other characters, we feel more sympathetic towards them. By the end of the novel, each character is an almost contradiction to themselves as Dickens argues against society suggesting that people can change. Poor, trembling Pip has grown up, he has sufficient money, which is what he wanted, he becomes educated and is a gentlemen, whereas the arrogant and beautiful Estella becomes quiet and battered, her beauty now hidden behind her scars.Miss Havisham dies understanding, that although she felt it is necessary to gain her revenge on men, due to her pain, she’d caused a lot of pain by creating a monster in the cold hearted Estella which meant that her once broken heart could finally feel again. Finally, Magwitch, who seemed to be rough and animal like, mellows down and forms a bond between himself and Pip. His story helps the reader understand him and the hatred they felt towards him in the opening chapters is directed towards Compeyson who becomes the common enemy and villain who meets a just end.