Development of Education in Saudi Arabia Term Paper

Development of Education in Saudi Arabia - Term Paper Example Saudi Arabia government is alive to this fact and invests significant investments in its educational program covering elementary, secondary and higher education. The Kingdom of Saudi Arabia occupies about 80 percent of the Arabian Peninsula has a total area of 2, 2400,000 km2.ii They note that the population in Saudi Arabia is largely skewed with statistics showing that Saudis aged who are 14 and below account for 40 percent for a country with a total population of 27 million. This means that the country should invest heavily in education and health sector to guarantee proper upbringing for its young generation. Previously, the Arabian Peninsula existed as different parts until 1932 when King Abdulaziz Ibn Saudi was recognized the king of Saudi Arabia has taken over control of Hejaz, Sultan Nejd and the Dependencies in 1926.iii The kingdom did not have a formal educational system until 1369/70 AH (1949/50 AD).iv Prior to the introduction of a formal educational system, traditional ed ucational was followed known as ‘’kuttab’’. In this form of education, the schools were only open to boys although young girls could be allowed to attend kuttabs.v However, girls were to learn from their homes. The education system was established following massive support and lobbying from Prince Fahd Ibn Abdel Aziz who later became a king. The education system in Saudi Arabia is based on religion.vi Saudi Arabia developed its educational policy based on a formula that is relevant to all societies as postulated by Arnold Anderson. Anderson explained that in the provision of education every society has an objective of meeting three basic requirements which include: a capability to offer training to those to utilize such skills; equal opportunity for all members of the society and offer respect an individual’s right to choice in education thereby allowing flexibility.vii This paper will assess the development of education in Saudi Arabia. It will fir st provide an overview of economic development in Saudi Arabia followed by a discussion on the advancement of the various institutions involved with ensuring the provision of quality education such as the ministry of education and advancement in elementary, high school and higher education. Additionally, the paper will seek to discuss the advancement of private and sector education sectors and how women education is perceived in the country as an indicator of equality. Lastly, the paper will bring out the governmental scholarship plans and their benefits to the society. Saudi Arabia has experienced steady and significant economic development parallel to political and societal change.viii The country posted a Gross Domestic Product (GDP) of 6.8 percent in the last year’s fiscal year. The country has posted impressive GDP ratings given that between 1968 and 2010, Saudi Arabia has had an average quarterly figure of 5.03 percent. Prior to the establishment of the modern Saudi Ara bia kingdom in 1932, the society largely depended on agriculture and trade; exporting dates and trading with pilgrims visiting Makkah and Madinah.ix The country was devoid of any infrastructure necessary to support economic growth. However, things took a dramatic twist in 1938 with discovery exploitable of oil deposits and after the Second World War, oil exports helped the country acquire the necessary resources to implement infrastructural developments building world-class roads, schools, hospitals and seaports.     

Steve Wozniak (Co-Fonder of Apple) Essay Example | Topics and Well Written Essays - 1250 words - 1

Steve Wozniak (Co-Fonder of Apple) - Essay Example Wozniak’s father played an important role in his early life to help him gain an interest in electronics. He used to get his son electronic equipments so that he could learn on his own. He gifted Wozniak a radio kit at the age of seven and a heavy electronics kit the next year. Wozniak used to experiment on the equipments and learnt from those experiences. He used to buy pieces from the market and tried making his own electronic accessories. Every time he succeeded in making one, he would try again to make it but with the use of fewer accessories. The books never really appealed to him but still he was well ahead of his classmates and was able to build a computer in his 6th grade that could play tic-tac toe. When he turned fourteen, he made a fully fledged computing device which could do binary additions and subtractions, for which he also received an award. In his own words, "It was all self-done; I didn't ever take a course, didn't ever buy a book on how to do it. Just pieced it together in my own head."(Wozniak & Smith, 2006) By the time he was enrolled in college he was expert enough to design and build functional computers. One of his early inventions was the ‘blue box’ which he created to make long distance phone calls for free. Although this was illegal, it showed Wozniak’s talent in the use of electronic circuitry. He applied to Caltech University for higher education but his application was rejected. He joined the University of Colorado in the year 1968 to pursue engineering major but transferred to the University of Berkeley for his sophomore year. The theoretical study in his university courses never really appealed to him. He was more interested in the practical work and that is why he decided to drop out of university after his junior year (Cantlay). In 1975 the only concept of personal computers was that they were available in kit form and had to be properly assembled in a big box which contained a lot of switches and wir es. The first ever personal computer kit commercially available was known as the Altair 8800 which could only do limited tasks even after being properly assembled. The amount of work required was tedious and did not always end in the correct way. Wozniak decided to build a personal computer for himself because he was unable to afford an Altair 8800. His idea behind a personal computer was that it should be user-friendly and could do more tasks like calculation and load video games. Steve Jobs and Steve Wozniak were intent on taking the personal computers to general public. They founded the apple Company and decided to promote their first product under its name. Wozniak pioneered the company’s first personal computer device and named it Apple I. The Apple Company brought about a major breakthrough in the computer industry by making the personal computers available to millions of people worldwide. The computers that were previously available in the market were not user friendly and mostly had to be bought in different parts and assembled at home. Wozniak was thinking ahead of the time and he planned on building computers that could also have a video display. The big companies like Hewlett Packard and IBM was skeptic on the idea of using microprocessors for computers and the prospect of success did not seem very bright for Job and Wozniak’s newfound Company. (Kendall, 2000).  Wozniak and Jobs sold off some of their personal belongings in order to pool in money for the equipments needed to build the computer. The first Apple I was built in a garage

The price of gold has increased in the Indian markets Essay Example for Free

The price of gold has increased in the Indian markets Essay The gold prices have been constantly increasing in India due to the spot demand before the marriage season, currency movements and the traditional investment patterns. The constant depreciation in the Indian currency and a change in government policies are supporting a steady rise in the price of gold. Earlier, there was a flat rate of Rs. 300 for 10g on gold. But now, due to the change in the government policy on import duties, 2% is charged on 10g of gold. This change in the government policy will increase the import duties on the metal to nearly a double, increasing its prices. Gold is denominated in US Dollar; change in the value of US Dollar will hence reflect the price of gold. The steady depreciation in the value of US Dollar due to the ongoing recession has led to a weak trend in gold in the global markets. If the price of gold is valued higher in any other currency, it shows us that the demand for gold is high and hence increasing its value. The below graph shows the depreciating value of gold due to the depreciation of US Dollar. http://www.kitco.com/LFgif/au0365nyb.gif Even though there is a weak trend in global markets, the price of gold has increased in the Indian markets due to the high pick up on spot demand ahead of the marriage season. The price of gold has gained Rs. 25 from Rs. 28, 245 per 10 grams. ETF in India saw the highest net outflows in last 52 months. Investors observe recovery in stock markets which helped gold prices increasing. This high trend of gold in the Indian market can be explained as an exception to the law of demand i.e. the increase in the price of gold is increasing the demand for the metal. Indians are the biggest buyers of gold in the world. Gold imports reached 958 tons in 2010, and in 2011 gold imports were still high despite the increase in prices. Gold can hence be considered a Veblen good. A Veblen good is one whose demand continues to rise in spite of an increase in its price level. Therefore the normal law of demand is not applicable here. Such goods are known as goods of conspicuous1 consumption because people regard them as status symbols and there is an inherent passion towards this precious metal. A normal demand curve slopes left to right downwards. But as shown in the diagram above, the demand curve slopes upward, and when the price of increases from P to P1, the quantity demanded increases from QD to QD1. Hence, gold can be considered as a Veblen good. Although, the prices of silver is facing a weakening trend in both the Indian and the global markets due to the same ongoing recession. Silver has fallen by Rs. 800 from Rs. 57,700 per Kg in the Indian market and by USD 6.70 from USD 1704.60 in the global market. The below graph shows a fall in the prices of silver in the global market. In the Indian market, silver doesn’t have high value status as much as gold. This is because people do not have a high inherent passion towards silver. Almost all electronics are configured with silver. The precious metal is used in everything from automobiles to alternative energy needs. But due do the reduced off take by industrial units, silver is facing a fall in both demand and its prices. http://www.kitco.com/LFgif/ag0365nyb.gif Even though the weak trend in silver, the demand for silver coins has been the same as the people in India buy these coins for good luck and prosperity. In conclusion, gold and silver are both facing a weakening trend in the global market due to the world economic uncertainties. But, in the Indian Market, gold is having a high trend whereas silver has a weak trend. As gold is continued to be purchased high in India due to its snob value status. A Tighter Regulation 1. Gold and silver are the two most popular commodities traded on Indian commodity bourses. 2. FMC may ask exchange to tighten monitoring and receive weekly data on trade volume. 3. National commodity exchanges say such measures will help strengthen investor trust in the market. 4. The only downside of stricter regulation is that it may reduce bullion trading volumes.

Reflection On A Clinical Skill During Clinical Placement Nursing Essay

Reflection On A Clinical Skill During Clinical Placement Nursing Essay Sociopsychology: This essay will discuss Reflection on a clinical Skill during the clinical placement, using Gibbs template. The essay is divided into four main sections. It will first consider some definition of psychology and sociology; it will then go on to describe an incident from both psychological and sociological point of view. The third part will explain how to find solution for both incident, and then some conclusions will be drawn to show the best things should be done. Finally it is my reflection on clinical placement. Psychology is how patient feel, Psychology tends to emphasis the individual in contents, and it is not about how they think. Sociology is to do with relationships, which operate between people when they get together in groups. Sociology looks at how an individual operates from the contextual point of view. Class, ethnicity, religion, sex, disabilithy, age these kinds of things are sociology, and anxiety, stress, depression are psychology. The first Gibbs is about an old lady who was waiting for her x-ray in the room. She was lying on the table, and she was crying as a child. It has been explained already her situation and the psychology point of view of this patient and how factors like being in pain and stress or anxiety might affect her. So interpersonal and good communication skill would help this patient and also would help the radiographer to be more professional and the patient may accept their advice because patient belief that the healthcares are professional and competence and they have ability to treat them. The patient was suffering from the physical and emotional stress, and it is necessary to know what the stress is and how its impact on patient. Stress is unclear response of the body to any demand further on, and can have physically or psychologically effect. Stressors are the situations that can cause stress. Physical symptom of stress can faster heart beat, increasing sweating, dry mouth, tense muscle, diarrhoea, irritability and anxiety. Anxiety is the result of being emotionally stressed. (Edward 2006) Everybody experience stress in their life, but individuals are different and material circumstances are different. Therefore it is important to reduce stress from the patient, and it is our job as a radiographer to have a good communication with her, by using SOLER.try to sit squarely and with open position, lean forward and have nice eye contact with her and then relax (Egan, 2002).speak nice and clear, but not too slowly, and dont inflate the movement of your leap, Use natural facial expressions and gestures and do not to turn your face away from a deaf person.55 per cent of communication is body language (Mehrabian ,1970). In this case we need to use different way of communication, because she had a little bit difficulty with hearing, so get patient attention before starting to speak. Make sure the patient can see your face and watch your lip movement and facial expressions. Speak more slowly and keep your tones of your voice low, because older people tend to have more difficulty hearing high-pinched sounds. Older patient need more time to understand and respond. Be patient and ask them to repeat instruction. Explain the procedure for her, so she would be able to understand what is going on. It is good to put your hand on her arms, so you will show your empathy and how friendly you are. It can be calm patient down. Be familiar with patientsà ¢Ã¢â€š ¬Ã¢â€ž ¢ emotions. She had not been given enough information to know why she is there, if she had, she could not been so worried. Explain clearly so that she would be able to understand you, and give her right instruction. According to psychologists for the patient suffering from psychological and sociological problem, there are many factors that determine our behaviour such as the genes we are born with, physiological brain, nervous system. Cognitive system, thoughts, perception. The social and cultural environments in which we develop over time. Life experiences including those from childhood and personal differences including our IQ personality and mental health. Being alone would be one of the factors that may transmit to getting old and hopelessness. As we getting old, there tends to be a decrease in mobility and social relations, with a likely for loneliness and isolation. (Oxman et al. 1992). And now we are going to find sociological factors which might be affect her, including the psychology factors. We will consider her in terms of age, race, sex and disability. It is easy for women to be emotionally open. We can help sensible stress by change coping style and recognise it. Women are more likely than men to be diagnosed with mental illness; also they have poorer psychosocial health and use more psychotropic drugs for anxiety and depression than men. (moodle site) Psychology is essential for health care professional because it enable the radiography to understand and care after the patient more holistically.According to this, the old lady`s brain is not functioning well because she is getting older or she has other mental problem therefore she was acting like a child scaring and fearful. So, being old, her age, sex disability causes her to be anxious. The good communicate with her and make her assure that there is nothing to worry about it, could reduce her fear and anxious. The second Gibbs is about young lady, who had x-ray of her abdomen, but her husband was not happy to do her x-ray alone. They were from different country and different religion and culture. Her husband must stay outside the room, preferably in a waiting area; this is because of radiation safety. Also it allows the stuff to proceed without any interruption from family members. Dealing with family was difficult. Sometimes may need a family member to stay with patient. In this case it was better for husband to stay outside, because he had a kid with him, but he insists to be with her. Before doing any radiographic procedure is necessary to informed consent from patient .In these situations should given a clear explanation to them before the procedure. It would be because of their culture or might be having another reason. Naturally people as go into the hospital, they will experience some kind of stress. Anxiety can cause some individuals to be quiet aggressive when they will be asked i n emergency situation. They as you would expect experience fear and anxiety. In general Refugeesà ¢Ã¢â€š ¬Ã¢â€ž ¢ health-related behaviour and how they communicate with health professionals will be influenced by their culture and beliefs. To be able to perform an accurate consideration and offer knowledgeable and sensitive care, the health care professional must think the patientà ¢Ã¢â€š ¬Ã¢â€ž ¢s religious and philosophy, as well as cultural background. Also to make them sure of what happens in x-ray room, explain the procedure to them, If we consider psychology views, both patient and her husband might be suffer from different type of depression, or stressed. In one hand, because the husband behaviour showed there is something that is afraid about it. Her husband was worried, angry and emotionally stressed, and in other hand may be they did not like doing their x-ray with male radiographer, because of their culture, and they might have personal or religious reason for not doing it alone. Generally we all have different way of engaging with different patient as a radiographer. Everybody has its value, expectation and beliefs. When individual entre a new country and new community they face many challenges in terms of adjusting to a new language, different customs and unfamiliar norms. These challenges may result in mental or general health problems. There is quite a lot of risk factor that put ethnic minority to suffer from mental illnesses. Generally in compare of general public, the health of people from ethnic minority is worse. Although there are some exeption. For the reason of many factors which affect their health. Lack of English, under or unemployment, being away from family, cultural differences and lack of social support, put people toward depression. (Journal of immigrant and minority health, New York: Feb. 2010, iss.1, pg.100) So again you need to have good communication with them. But In this case, may be eye contact is not welcomed, because they were Muslim, and in their culture direct eye contact is supposed as being impolite or bad-mannered, particularly between the old people. In Asian and Muslim culture hand gestures and eye contact should be avoided. Occasionally between Muslims people husband may be respond the question telling their wives. In addition in their culture, silence possibly will show accepting or authorization. So it is very important to have knowledge of other culture, when dealing with patient. (Ruth Ann Ehrlich, Joan A. Daly 2009) Therefore you need to introduce yourself to the patient. First impression you put on patient is very important , Give explanation clearly, be a good listener, be familiar with patientà ¢Ã¢â€š ¬Ã¢â€ž ¢s emotions, control your personal emotions by developing better cultural competency ,and have familiarity with beliefs and practices of diverse groups, But it is very important to avoid stereotyping. Also it is very important to let them understand the LMP checked. For Certain radiographic procedure it needs to check LMP (last menstrual period). It is necessary to have fully understood the procedure and its risk and benefit, so that you can explain to the patient and answer their questions. The Ionising Radiation (Medical Exposure) Regulations IE (ME) R states that, every females of childbearing ability age must have their pregnancy status recognized if the abdominal area is region of interest in radiographic examination. Where suitable, the pregnancy and breast feeding status of a fema le patient must be established. From knees up to below the diaphragm is abdominal region for radiographic purposes. (Ball J, Moor A, Turner s, 2008). After check the LMP and when you are sure that she is not pregnant, give the patient instruction to have her x-ray. And ask for female radiographer for her to do her x-ray. And help put her husband lead gown or ask them to stay behind the screen, so that they will be protected against radiation. Additionally, an interpreter may be required, to help them get their job done. As a result, I should communicate more effectively and without any hesitant for both patient. Give them clear instruction and get help from radiographer staff. To know how to deal with patient in appropriate way, it is important to recognise their feeling, understand their problem and cope with different situation. Communication is very important. By using SOLER technique. Also be familiar with different culture and background, and respect everybody. . Avoid stereotyping patient. Stereotyping can direct you toward discrimination. (moodle site 2009).Also Remember to be assertive. What I have learnt using this reflective model, is that it has helped me to recognize that my knowledge is somewhat which I have to be proactive in. By writing this essay my reflection skill and my competence has developed. Now I feel more progress in personal and professional skills. Within clinical placement I have experienced how to face with different situation and different patient. Also how communication skills is useful as a professional radiographer to deal with patient and their families. In the future communicate clearly and with greater confidence. Show empathy to patient in appropriate way. Respect all in any age, any culture and any background. Nervous, hesitant, anxious, exited, that was me on my first week of placement, but now something different and in the future more professional.

greek orthodox Essay -- essays research papers

The Greek Orthodox Church is one of the three major branches of Christianity, which "stands in today's society as one of the communities created by the apostles of Jesus in the region of the eastern Mediterranean, and which spread by missionary activity throughout Eastern Europe" .The word orthodox comes from Greek, this means right-believing. Currently, the orthodox religion has more than 174 million followers throughout the world. The Greek Orthodox church is autocephalous, which means governed by its own head bishop. The head bishops of this autocephalous church may be called patriarch, metropolitan, or archbishop. These clergymen are much like the Pope; they decide church doctrine and generally make important decisions on controversial topics. In its doctrine statements, "the Greek Orthodox church strongly affirms that it holds the original Christian faith, which was common to East and West during the first millennium of Christian history" (Meyendorff 18). More particularly, it recognizes the authority of the ecumenical councils at which East and West were represented together. These were the councils of Nicaea I (325), Constantinople (381), Ephesus(431), Chalcedon(451), Constantinople II (553), Constantinople III (680), and Nicaea II (787) (Encarta 1996). The power of teaching and guiding the community is bestowed on certain ministries, particularly that of the bishop of each diocese or is directed through certain institutions, such as councils...

Patterns Within Systems of Linear Equations

Jasmine Chai Grade 10 196298501 Patterns within systems of linear equations Systems of linear equations are a collection of linear equations that are related by having one solution, no solution or many solutions. A solution is the point of intersection between the two or more lines that are described by the linear equation. Consider the following equations: x + 2y = 3 and 2x – y = -4. These equations are an example of a 2Ãâ€"2 system due to the two unknown variables (x and y) it has. In one of the patterns, by multiplying the coefficient of the y variable by 2 then subtract the coefficient of x from it you will be given the constant.As a word equation it can be written like so with the coefficient of x as A and coefficient of y as B and the constant as C, 2B – Ax = C. This can be applied to the first equation (x + 2y = 3) as 2(2) – 1 = 3. To the second equation (2x – y = -4), it is -1(2) – 2 = -4. By using matrices or graphs, we can solve this syst em. Regarding other systems that also has such as pattern, it should also have the same solution as the two examples displayed. For instance, 3x + 4y = 5 and x -2y = -5, another system, also displays the same pattern as the first set and has a solution of (-1, 2).Essentially, this pattern is indicating an arithmetic progression sequence. Arithmetic progression is described as common difference between sequences of numbers. In a specific sequence, each number accordingly is labelled as an. the subscript n is referring to the term number, for instance the 3rd term is known as a3. The formula, an = a1 + (n – 1) d, can be used to find an, the unknown number in the sequence. The variable d represents the common difference between the numbers in the sequence. In the first equation (x + 2y = 3) given, the common differences between the constants c – B and B – A is 1.Variable A is the coefficient of x and variable b represents the coefficient of y, lastly, c represents the constant. The common difference of the second equation (2x – y = -4) is -3 because each number is decreasing by 3. In order to solve for the values x and y, you could isolate a certain variable in one of the equations and substitute it into the other equation. x + 2y = 3 2x – y = -4 x + 2y = 3 * x = 3 – 2y * 2(3 – 2y) – y = -4 * 6 – 4y – y = -4 * 6 – 5y = -4 * -5y = -10 * y = 2 Now that the value of y is found, you can substitute 2 in as y in any of the equations to solve for x. x + 2y = 3 x + 2(2) = 3 * x + 4 = 3 * x = 3 – 4 * x = -1 Solution: (-1, 2) Even though the solution has already been found, there are many different ways to solve it, such as graphically solving it. By graphing the two linear lines, you can interpolate or extrapolate if necessary to find the point where the two lines intersect. | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Graph 1 Graph 1 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Just from the equations given, it is not in a format where it can be easily graphed. By changing it into y=mx + b form, the first equation will result as y = – (1/2) x + 3/2 or y = -0. 5x + 1. 5 and the second equation will result as y = 2x + 4. The significance of the solution is that it is equal to the point of intersection as shown on Graph 1. This can then allow the conclusion that the solution of the two linear equations is also the point of intersection when graphed. According to this arithmetic progression sequence, it could be applied to other similar systems.For instance, the examples below demonstrates how alike 2Ãâ€"2 systems to the previous one will display a similarity. Example 1: In the first equation the common difference between (3, 4 and 5) is 1. In the second equation, the common differen ce is -3. The common differences in these equations are exact to the previous example. 3x + 4y = 5 x – 2y = -5 x – 2y = -5 * x = 2y – 5 (Substitution) 3x + 4y = 5 * 3(2y – 5) + 4y = 5 * 6y – 15 + 4y = 5 * 10y – 15 = 5 * 10y = 20 * y = 2 (Substituting y) x – 2y = -5 * x – 2(2) = -5 * x – 4 = -5 * x = -5 +4 * x = -1 Solution: (-1, 2)Example 2: In the first equation below, it has a common difference of 18 for (2, 20 and 38). For the second equation, in (15, -5 and -25), it has a common difference of -20. In this example, the system is solved graphically. 2x + 20y = 38 15x – 5 y = -25 Solution: (-1, 2) | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Graph 2 Graph 2 | | |From the examples given above that are very similar to the first system, we can conclude that there is something common between them, that is the point of intersection or the values of x and y. That would imply that the x and y values and the point of intersection will always be (-1, 2) for all systems that follow arithmetic progression sequences. Due to that similarity, an equation that can be applied to these types of equations can be made. If the first coefficient of the first equation is identified as A and the common difference is c, an equation such as, Ax + (A + c) y = A + 2c, is made.This equation is so, because it is describes an arithmetic sequence, where the coefficients and constant are increasing by one in response to the coefficient before. In the second equation of the system, another equation can be made relatively the same to the first, with exceptions of different variables used. If B is used to represent the first coefficient of the second equation and d is used as the common difference, the equation, Bx + (B + d) y = B + 2d is created. With 2 equations, we have now created a system; to solve the system we can use the elimination method.This method is used to eliminate certain variables in order to find the value of another variable. After doing so, you could substitute in the value for the found variable and solve for the other(s). Ax + (A + c) y = A + 2c Bx + (B + d) y = B + 2d In order to use the elimination method, you must make the coefficient of x or y the same depending on which one you would like to eliminate. In this case, we will start by eliminating x. To proceed to do so, we must first multiply the first equation by B and the second equation by A: ABx + (AB + Bc) y = AB + 2Bc ABx + (AB + Bd) y = AB + 2BdAfter we have made the coefficient of x the same for both equations, we can now subtract the equations from one another: ABx + ABy + Bcy = AB + 2Bc ABx + ABy + Bdy = AB + 2Bd * Bcy – Bdy = 2Bc – 2Bd To find the val ue of y, we must isolate the variable y. Bcy – Bdy = 2Bc – 2Bd * y(Bc – Bd) = 2(Bc – Bd) * y = 2 Now that the value of y is found, to find the value of x is to substitute the value of y, which is 2, into any equation that includes that variable x and y. Bx + (B + d) y = B + 2d * Bx + (B + d) 2 = B + 2d * Bx + 2B + 2d = B + 2d * Bx + 2B – B = 2d – 2d * Bx + B = 0 * Bx = -B * x = -1To conclude the results of the equations above, it is making thee statement that all 2Ãâ€"2 systems that display an arithmetic progression sequence, which has a common difference between the coefficients and constant, it will have a result, point of intersection, of (-1, 2). To confirm that this is correct, the example systems below will demonstrate this property: Equation 1 (common difference of 8): 2x + 10y = 18 Equation 2 (common difference of 3): x + 4y = 7 Substitution Method x + 4y = 7 * x = 7 – 4y Substitute 2x + 10y = 18 * 2 (7 – 4y) + 10y = 1 8 * 14 – 8y +10y = 18 * 14 + 2y = 18 2y = 18 – 14 * 2y = 4 * y = 2 Substitute x + 4y = 7 * x + 4(2) = 7 * x + 8 = 7 * x = 7 – 8 * x = -1 Solution: (-1, 2) Once again from the example above, it displays that the solution or the point of intersection is identified as (-1, 2). From previous examples, all have a common difference that is different from the other equation involved in that system. In the following example, it will experiment whether having the same common difference will make a difference in the result. Equation 1 (common difference of 3): 2x + 5y = 8 Equation 2 (common difference of 3): x + 3y = 6 Graph 3 Graph 3As you can see on the graph, it shows that the two lines do not intersect at (-1, 2) even though it is a 2Ãâ€"2 system that has a common difference in both equations, meaning that the intersection at (-1, 2) can only be applied to systems that has 2 different common differences. To conclude, all 2Ãâ€"2 systems that follow arithmetic progres sion sequence with different common difference have a solution of (-1, 2). Furthermore, now that it is known that there is a certain pattern for a specific type of system, if this property is applied to a 3Ãâ€"3 system, with 3 different variables can it still work?Consider the following 3Ãâ€"3 system, (x + 2y + 3z = 4), (5x + 7y + 9z = 11) and (2x + 5y + 8z = 11). In this system, it has similar patterns to the 2Ãâ€"2 systems above due to its arithmetic progression. In the first equation, it has a common difference of 1 and the second equation has a common difference of 2 and lastly, the third equation has a common difference of 3. To solve this system, we can solve it using the method of elimination or matrices. Equation 1 (common difference: 1): x + 2y + 3z = 4 Equation 2 (common difference: 2): 5x + 7y + 9z = 11Equation 3 (common difference: 3): 2x + 5y + 8z = 11 Elimination Method To eliminate the variable x, we must first start by making the coefficients of x in two equations the same. We can do so by finding the lowest common multiple of the two coefficients and multiplying the whole equation by it. Equation 1: x + 2y + 3z = 4 * 2(x + 2y + 3z = 4) * 2x + 4y + 6z = 8 We can eliminate the variable x now that the coefficients of x in both equations are the same. To eliminate x, we can subtract equation 3 from equation 1. Equation 1 and 3: 2x + 4y + 6z = 8 2x + 5y + 8z = 11 -y -2z = -3 After eliminating x from two equations to form another equation that does not involve x (-y -2z = -3), another equation that does not involve x must be made to further eliminate another variable such as y or z. Equation 1: x + 2y + 3z = 4 * 5(x + 2y + 3z = 4) * 5x + 10y + 15z = 20 We can eliminate the variable x now that the coefficients of x in both equations are the same. To eliminate x, we can subtract equation 2 from equation 1. Equation 1 and 2: 5x + 10y + 15z = 20 – 5x + 7y + 9z = 11 3y + 6z = 9Now that two different equations that do not involve x ((-y -2z = -3 ) and (3y + 6z = 9)) are created, we can find the common coefficient of y and eliminate it to find the value of the variable z. Let (-y -2z = -3) to be known as equation A and (3y + 6z = 9) will be known as equation B. Equation A: -y -2z = -3 * 3(-y -2z = -3) * -3y -6z = -9 Equation A and B: -3y -6z = -9 + 3y + 6z = 9 0 = 0 As you can see from the result, 0 = 0, this is indicating that the system either has many solutions, meaning a collinear line or no solution, where all the lines do not intersect together at a specific point.Even if you attempt to isolate a different variable it will still have the same result. For instance, using the same equations above, you eliminate the variable y first as displayed below. Equation 1 (common difference: 1): x + 2y + 3z = 4 Equation 2 (common difference: 2): 5x + 7y + 9z = 11 Equation 3 (common difference: 3): 2x + 5y + 8z = 11 Elimination Method Equation 1: x + 2y + 3z = 4 * 7(x + 2y + 3z = 4) * 7x +14y + 21z = 28 Equation 2: 5x + 7y + 9z = 1 1 * 2(5x + 7y + 9z = 11) * 10x + 14y + 18z = 22 Equation 1 and 2: 7x +14y + 21z = 28 – 10x + 14y + 18z = 22 3x + 3z = 6 Equation 1: x + 2y + 3z = 4 * 5(x + 2y + 3z = 4) * 5x +10y + 15z = 20 Equation 3: 2x + 5y + 8z = 11 * 2(2x + 5y + 8z = 11) * 4x + 10y +16z = 22 Equation 1 and 3: 5x +10y + 15z = 20 – 4x + 10y +16z = 22 x – z = -2 Two equations have been made that has already eliminated the variable y. Let (-3x + 3z = 6) be equation A and let (x – z = -2) be equation B. Doing this, is in attempt to solve for variable x. Equation A: -3x + 3z = 6 Equation B: x – z = -2 * 3(x – z = -2) * 3x – 3z = -6 Equation A and B: -3x + 3z = 6 + 3x – 3z = -6 0 = 0As you can see the result, it is the same even if you try to solve another variable, from that we can confirm that this system has either no solution or infinite solutions, meaning that they are collinear lines. Furthermore, because this is a 3Ãâ€"3 system, meaning that it has three different variables, such as x, y and z, graphing it will also be very different from a graph of a 2Ãâ€"2 system. In a 3Ãâ€"3 system, the graph would be a surface chart, where the variable z allows the graph to become 3D. From this, we can conclude 3Ãâ€"3 systems that follow an arithmetic progression will always have either no solution or infinite solutions.This is saying that all linear equations do not intersect together in one point or they do not intersect. A way to prove this is through finding the determinant. The determinant is a single number that describes the solvability of the system. To find the determinant of all 3Ãâ€"3 systems that possesses arithmetic progression, we can start by creating a formula. Allow the first coefficient of the first equation be A and the second equation’s first coefficient be B and lastly, the first coefficient of the third equation be C.The common difference of equation one will be c, the common difference of equation two will be d, and the common difference of equation e will be e. This can be described through the following equations: 1. Ax + (A + c) y + (A + 2c) z = (A + 3c) 2. Bx + (B + d) y + (B + 2d) z = (B + 3d) 3. Cx + (C + e) y + (C + 2e) z = (C + 3e) When developing a matrix to find the determinant, you must have a square matrix. In this case, we do not have a square matrix. A square matrix is where the number of rows and columns are equal, for example, it could be a 2Ãâ€"2, 3Ãâ€"3, or 4Ãâ€"4. Looking at the equations, it is a 3Ãâ€"4 matrix; as a result it must be rearranged.Below is the rearranged matrix of the equations above. x A (A + c) (A + 2c) (A + 3c) y B (B + d) (B + 2d) = (B + 3d) z C (C + e) (C + 2e) (C + 3e) To find the determinant, you must find 4 values from the 3Ãâ€"3 matrix that helps find the determinant of A, B and C. In this case, if you were to find the values for A, you would cover the values that are in the same row and column as A, like so, A (A + c) (A + 2c) B (B + d) (B + 2d)C (C + e) (C + 2e) You would be left with four separate values that can be labelled as A, B, C and D. Respectively to the model below: a b c d In order to find the determinant you must find the four values for A, (A + c) and (A +2c). To find the determinant the equation ad – cb is used. The equation in this situation would be like the one below: A[(B + d)(C + 2e) – (C + e)(B + 2d)] – (A + c)[B(C + 2e) – C(B + 2d)] + (A +2c)[B(C + 2e) – C(B + 2d)] Expand * = A(BC – BC + Cd – 2Cd + 2Be – Be + 2de – 2de) – (A + c)(BC – BC + 2Be – 2Cd) + (A + 2c)(BC – BC + 2Be – 2Cd) Simplify 2ABe – 2ABe + 2ACd – 2ACd + 2Ccd – 2Ccd + 2Bce – 2Bce * = 2ABe – 2ABe + 2ACd – 2ACd + 2Ccd – 2Ccd + 2Bce – 2Bce * = 0 As it is visible, above it shows that the determinant found in this type of matrix is zero. If it is zero, it means that there are infinite an swers or no answer at all. Using technology, a graphing calculator, once entering a 3Ãâ€"3 matrix that exhibits arithmetic progression, it states that it is an error and states that it is a singular matrix. This may mean that there is no solution. To conclude, there is no solution or infinite solution to 3Ãâ€"3 systems that exhibit the pattern of arithmetic sequencing.This can be proved when the sample 3Ãâ€"3 system is graphed and results as a 3D collinear segment. As well as the results from above when a determinant is found to be zero proves that 3Ãâ€"3 systems that pertains an arithmetic sequence. Arithmetic sequences within systems of linear equations are one pattern of systems. Regarding other patterns, it is questionable if geometric sequences can be applied to systems of linear equations. Consider the following equations, x + 2y = 4 and 5x – y = 1/5. It is clear that the coefficients and constants have a certain relation through multiplication.In the first equation (x + 2y = 4), it has the relation where it has a common ratio of 2 between numbers 1, 2 and 4. For the second equation (5x – y = 1/5), it has a common ratio of -1/5 between 5, -1 and 1/5. The common ratio is determined through the multiplicative succession from the previous number in the order of the numbers. When the equations are rearranged into the form y=mx+b, as y = – ? x + 2 and y = 5x – 1/5, there is a visible pattern. Between the two equations they both possess the pattern of the constant, where constant a is the negative inverse of constant b and vice versa.This would infer that if they are multiplied together, as follows (-1/2 x 2 = -1 and 5 x -1/5 = -1), it will result as -1. With equations that are also similar to these, such as the following, y = 2x – 1/2, y = -2x + 1/2, y = 1/5x – 5 or y = -1/5x +5. Displayed below, is a linear graph that shows linear equations that are very similar to the ones above. Graph 4 Graph 4 From the graph a bove, you can see that the equations that are the same with exceptions of negatives and positives, they reflect over the axis and displays the same slope.For instance, the linear equations y = 2x -1/2 and y=-2x +1/2 are essentially the same but reflected as it shows in the graph below. Also, all equations have geometric sequencing, which means that they are multiplied by a common ratio. Secondly, the points of intersection between similar lines are always on the x-axis. Graph 5 Graph 5 Point of intersection: (0. 25, 0) Point of intersection: (0. 25, 0) To solve a general 2Ãâ€"2 system that incorporates this pattern, a formula must be developed. In order to do so, something that should be kept in mind is that it must contain geometric sequencing in regards to the coefficients and constants.An equation such as, Ax + (Ar) y = Ar2 with A representing the coefficients and r representing the common ratio. The second equation of the system could be as follows, Bx + (Bs) y = Bs2 with B as the coefficient and s as the common ratio. As a general formula of these systems, they can be simplified through the method of elimination to find the values of x and y. Ax + (Ar) y = Ar2 Bx + (Bs) y = Bs2 Elimination Method B (Ax + (Ar) y = Ar2) * BAx + BAry = BAr2 A (Bx + (Bs) y = Bs2) * ABx + ABsy = ABs2 Eliminate BAx + BAry = BAr2 – ABx + ABsy = ABs2 BAry – ABsy = BAr2 – ABs2 ABy (r – s) = AB (r2 – s2) * y = (r + s) Finding value of x by inputting y into an equation ABx + ABsy = ABs2 * ABx + ABs(r + s) = ABs2 * ABx = ABs2 – ABs(r +s) * x = s2 – s(r +s) * x = s2 – s2 – rs * x = rs To confirm that the formula is correct, we can apply the equation into the formula and solve for x and y and compare it to the results of graph 4. The equations that we will be comparing will be y = 5x – 1/5 and y = -1/5x + 5. The point of intersection, (1, 4. 8) of these equations is shown graphically on graph 4 and 6. The common rat io (r) of the first equation is -0. and the common ratio, also known as s in the equation of the second equation is 5. X = – (-0. 2 x 5) = 1 Y = (-0. 2 + 5) = 4. 8 As you can see, above, the equations are correctly matching the point of intersection as shown on the graphs. Due to such as result, it is known that it can now be applied to any equations that display geometric sequencing. Graph 6 Graph 6 Resources: 1. Wolfram MathWorld. Singular Matrix. Retrieved N/A, from http://mathworld. wolfram. com/SingularMatrix. html 2. Math Words. Noninvertible Matrix. Retrieved March 24, 2011 from, http://www. mathwords. com/s/singular_matrix. htm

The Breakfast Club

The Breakfast Club This paper is an analysis of five dissimilar teenagers representing a cross-section of middle class high school students in the suburbs. The students meet each other for the first time during a Saturday morning detention session. Each student arrived to the school by different means, which is a precursor to determining the type of individual each one is. The group is comprised of a â€Å"princess†, an â€Å"athlete†, a â€Å"brain†, a â€Å"criminal†, and a â€Å"basket case†. These are the roles the students play during the week. Because of typical stereotypes and status levels, at the onset, the students don’t want anything to do each other at the beginning of the detention session. However, once confronted by the controlling principal and realizing they have a whole day to spend together, the students begin to interact. Once the students start communicating with each other, they realize that they are more alike than unlike. Each one of them has their own issues they are dealing with, they each long for self-acceptance; they all fight against peer pressure; they all desire parental approval. Eventually through the course of the day, they break through the barriers and begin to understand each other and accept each other as well as themselves. The students eventually develop a group identity and call themselves, â€Å"The Breakfast Club. † Claire is the â€Å"princess†; an upper-class, popular prom queen who was punished with detention after she ditched classes to go shopping. She enjoys her wealth, but this causes others to envy her. She is a bit shy and doesn’t easily reveal information about herself. She is very insecure with herself because she is not very smart and isn’t athletically inclined which is why she wants to be a part of the â€Å"in† crowd at school. She feels neglected by her parents and is yearning for attention from them. She was driven to school for the detention session in a BMW by her father. As he dropped her off he explained to her that this is a strict punishment and perhaps she shouldn’t skip school to go shopping. Bender the â€Å"bad boy† on the other hand, is a lower-class young man who is perceived to be a ociopathic criminal; he is desperate for attention at school. This may be due to a lack of attention at home or perhaps abuse. Because of his rebellious nature, Bender finds himself in detention more often than not. Bender wanders up to the school by his own free will. His parents are not shown at all during the film. Andrew the â€Å"jock† is a regimented and determined wrestler who wants break free from the athlete role in order to think for himself. His father demands that he succeeds athletically as he doesn’t tolerate losing, he requires Andrew to be No. in his athletic endeavors. His father doesn’t care what Andrew wants in life, he just wants him to win all of his wrestling matches. Andrew was dropped off to the school by his father who was chastising him before dropping him off and explaining that he could potentially lose his athletic scholarship due to his behavior. Brian the â€Å"nerd† is a straight – A student who struggles with expectations of high grades. His parents seem to push him to do very well in school. However, he doesn’t have any confidence in himself and relies upon his success in school to motivate him. His self confidence was crushed when he received a failing grade in shop class. He was sent to detention because a teacher found a gun in his locker which he was going to use to kill himself; however, it wouldn’t have worked because it was a flare gun. Brian was dropped off to the school by one of his parents and his younger sister. He was told to get his homework done while in detention. Lastly, Allison the â€Å"kook† is an introvert who is ignored by her peers. She is a very quiet girl hardly ever speaking, which makes it difficult for people to understand her. When she does speak, she usually does so in self defense. She longs for attention, in order to receive it; she acts like a mentally unstable individual. She suffers from boredom and is very reserved. She shocked the group when she emptied her purse which held nothing but useless items in an attempt to gain attention from the others at the beginning of the detention session. Allison was dropped off to the school, but you can’t tell by who as the person drives off before any words are exchanged. She states that she did nothing wrong to get sent to detention. She displays very peculiar behavior during the detention session. At the onset of the detention session, each student’s status is conveyed by their existing peer social status in school. They form bonds, with whom they feel most comfortable with, for example, Claire and Andrew immediately sit down next to each other and begin exchanging conversation about the friends they have in common within the â€Å"popular† crowd that they are a part of. Brian is next in line in the school social status scene because of his intelligence but he is still considered to be a geek by his peers. In contrast, Allison and Bender are at the bottom of the school social scene. As the morning detention session progresses, each member of the group surrenders their previous roles as they assume new positions within the group. Bender, who usually has a low-status position, assumes a leadership role because of his expertise with detention. He is on a first name basis with the janitor and Mr. Vernon, the principal. Mr. Vernon displays a tough outer shell but seems to fear Bender. Bender is clearly the dominating force in the group. His rebellious personality is displayed when he breaks the established rules and moves from his seat after being told not to. He also tore up a library book and removed a screw from one of the library doors so it couldn’t stay open in order for Mr. Vernon to keep an eye on them. When Mr. Vernon questioned the group as to why the door is closed and wouldn’t stay open the group covered up for him. This behavior clearly displays Bender’s disregard for authority. Instead of being condemned by his peers, Bender’s questions and actions are valued within the group. He leaves the session with a new found respect for his new friends as well as an attraction to Claire whom he had constantly made fun of for being a snob throughout the detention session. He also dropped the tough guy persona and accepted himself as someone who was good in his own way. Claire and Andrew also go against their normal high school behaviors during the session. Andrew no longer appears to play the macho athlete role and actually cries in front of the others as he describes how his father has pressured him to be someone he doesn’t want to be. He expressed how at times he wished for his knee to give out so he wouldn’t be able to wrestle anymore. He finally comes to realize that he doesn’t need to be the man his father expects him to be and that his life is his own to determine and not what his father desires. It is clear that he that he has broken from the grips of his father when he leaves the detention session partnered with Allison. Allison seems to be the epitome of defiance towards his father's law to stay on course and choosing his own path from now on. Claire appears to be very conceited and often asks the group â€Å"Do you know how popular I am? Everyone at this school loves me. † Looking at her from the others perspective, she appears to be very self-centered and more important than the others. Although Claire leads the group to believe she had been sexually active due to peer pressure, she ultimately admitted to the group that she is still a virgin. Allison actually tricked her by lying and being deviant, having Claire to admit she was a virgin. Allison then expressed to the group that being sexually active is actually a double edged sword in their social setting because if a girl admits to being sexually active, she is considered to be a slut while if she denies being sexually active she is considered a prude. Her observation demonstrates she isn’t exactly who the group perceives her to be. Eventually the group allows Claire to see that there is much more to life than being popular in school. On the surface, Brian appears to be submissive; however, the traditional geek ends up asking bold questions and seems to become more secure than his new-found friends. Throughout the session, Brian seems to follow along with whatever his peers are doing while at the same time reminding them that there isn’t supposed to be any â€Å"monkey business. † He actually goes against his normal behavior and along with Andrew and Claire partakes in smoking marijuana with Bender. The group views Brian as their most intelligent member and therefore, they encourage him to write their required 1000 word detention essays. This opportunity allows him to have a bit of power within the group. Through the peer discussions, it becomes apparent that Brian and his parents have required him take on more than he can handle which drove him to his breaking point. Through the relationship with his newfound friends, Brian is able to release the load and the perception of himself being an academic over achiever. He leaves much more confident than when he came and is determined to let go of his past failure. Allison is very quiet during the detention session; her mode of communication was squealing for the first half of the session. The others see her as an outcast and her strange behavior while at detention confirms their perception. During lunch, she takes a sandwich out of her bag, removes the meat, and puts cereal and sugar in its place. She appears to be satisfied with the lunch that the others find disturbing. Until this point, the other students had barely noticed her presence in the room. She continues performing random acts throughout the movie. It is clear that she craves attention both positive and negative and this is her way of obtaining it. While speaking to Andrew, she confides that the attention that she receives at school is much more than she will ever receive at home. She finds her life at home unsatisfying and expresses that her parents don’t give her any attention. Allison’s parents consider her an outcast. She leaves the school well respected by Andrew who seems to have developed a liking to her. She realizes that she should be respected by all as long as she acts as though she wanted the respect she deserved. The janitor â€Å"Carl† is the eyes and ears of the school. He seems to know the students at the school very well and tells Mr. Vernon â€Å"Someday, these kids are gonna take care of me,† Mr. Vernon told him â€Å"don’t count on it. It appears as though Carl previously attended the school. He shows much respect to the students and seems to be able to relate to them and their issues. Mr. Vernon is the school principal who dislikes Bender because he doesn’t have any respect for authority. He is very uptight and tries to get the students in trouble. It appears from his behavior that he thrives in h is position of power; one may safely assume that when he was the age of the students, he probably wasn’t popular or well liked by his peers. Carl caught Vernon reading the private school files; he then blackmails him to keep quiet. He eventually bonded with Carl and declares that he has various fears about the current generation. The group went through the predictable developmental stages including forming, storming, norming and performing phases. The group was formed because each of the students broke a school rule. While in this stage, the students are becoming oriented with each other and learning more about the group. The rules and procedures are being established. During the storming stage, conflicts begin to arise and social tension is apparent. For example, Claire expressed that she doesn’t â€Å"belong here. Bender continuously antagonizes Claire. Bender and Andrew have shouting matches almost bringing them to blows. Also, Allison had a strange outburst during Claire’s disclosure about her parents. The principle tries to set clear expectations and norms by telling the students that there is to be no moving, no talking, and no monkey business while in detention. However, in his attempt to establish the norms; the results prove to be unsuccessful because the group does not agree to Mr. Vernon’s rules. Instead, the students become quite rebellious and show disrespect for authority. Most of this behavior is exhibited by Bender who uses his status, power, and leadership within the group. In regards to performing, the group eventually accomplishes its task which was to write the 1000 word essay with Brian as the leader of this undertaking. The group also achieves other goals such as killing eight hours of detention while remaining free of boredom. They learned about each other and experienced and new found respect for through self-disclosures. They also rebelled against the established norms with each other. By the end of the day, they had established their own cohesive group and learned to look past their stereotypes of each other. However, they question whether or not they will remain as friends come Monday morning. I believe that this movie is a true depiction of high school life in the suburbs, as each group of students has stereotypes about the other groups amongst their peers. It is up to us the individuals to break down the barriers that prevent us from appreciating each others qualities and learn not to criticize and/or condemn our peers.