Matrices and function Coursework Example | Topics and Well Written Essays - 1000 words

Matrices and function - Coursework Example 0.0072 = 0.9928 are alive at the end of the year. Some of this number will have reached the age of 15 during the 1 year and become adults. We shall assume that15 of the surviving juveniles become adults. So the proportion of juveniles still alive and still juveniles at 14 the end of the year is . (b) The network model above can be written as a matrix equation of the form where M is a 2 x 2 matrix. Write down the matrix M (c) (i) Edit the matrix M, and the vector whose entries are the initial subpopulation sizes J0 and A0, in a copy of a worksheet so that the worksheet shows the predicted changes in population size for the country considered in this question. Set N = 50, so that the worksheet covers 50 years. Here we have: For n=0, For n= 2, As the value is influenced by the previous value the table has the accurate calculation: Table below shows the juvenile population, Adult population and total population, while the first column shows the increase in the years startind from 2007 an d ending at 2057. n Jn An Tn 0 8.3 30.1 38.4 1 8.82254 30.09562 38.91816 2 9.306561 30.12591 39.43247 3 9.756194 30.18769 39.94388 4 10.17515 30.2781 40.45324 5 10.56675 30.39457 40.96132 6 10.93398 30.53483 41.46882 7 11.27954 30.69682 41.97636 8 11.60582 30.87871 42.48453 9 11.91499 31.07884 42.99384 10 12.209 31.29576 43.50476 11 12.48958 31.52816 44.01774 12 12.7583 31.77485 44.53315 13 13.01658 32.03479 45.05137 14 13.26567 32.30705 45.57272 15 13.50671 32.59079 46.0975 16 13.74073 32.88526 46.626 17 13.96865 33.18981 47.15846 18 14.19129 33.50384 47.69513 19 14.40939 33.82683 48.23623 20 14.62363 34.15832 48.78195 21 14.83461 34.49789 49.3325 22 15.04287 34.84518 49.88805 23 15.2489 35.19987 50.44877 24 15.45315 35.56167 51.01482 25 15.65601 35.93033 51.58634 26 15.85784 36.30564 52.16348 27 16.05896 36.68741 52.74637 28 16.25968 37.07546 53.33514 29 16.46026 37.46966 53.92992 30 16.66093 37.86989 54.53083 31 16.86193 38.27604 55.13797 32 17.06344 38.68802 55.75146 33 17.26566 39.10576 56.37142 34 17.46873 39.5292 56.99793 35 17.67283 39.95829 57.63112 36 17.87807 40.393 58.27108 37 18.0846 40.8333 58.9179 38 18.29252 41.27917 59.57169 39 18.50195 41.7306 60.23254 40 18.71297 42.18758 60.90056 41 18.9257 42.65013 61.57582 42 19.14019 43.11825 62.25844 43 19.35655 43.59195 62.9485 44 19.57484 44.07126 63.6461 45 19.79512 44.55621 64.35133 46 20.01747 45.04681 65.06428 47 20.24195 45.54311 65.78506 48 20.46861 46.04513 66.51374 49 20.69751 46.55292 67.25044 50 20.92871 47.06652 67.99523 51 21.16224 47.58598 68.74822 (ii) What behaviour does the model predict for the total population size over 50 years? Find the sizes of the total population predicted by the model for the years 2032 and 2057, giving your answers to the nearest thousand. The population of the juveniles and the adults in total is increasing by the ration of 1.013 and the population is increasing in the geometric manner. The size of the population in the year 2032 will be at 51.58634 million w hich is approximately 1.343 times the total population in the year 2007. In the 2057, the total population of juveniles and adults will be 67. 99523 million, which is 1.77 times the population in the year 2007. (iii) What does the model predict for the ratio of successive total populations over the 50 years? Your answer should include both a description of behaviour and numerical information. Years Tn Ratio Tn/Tn-1 2007

Understaffed Nursing Problems in Hospitals Research Proposal

Understaffed Nursing Problems in Hospitals - Research Proposal Example It is noticeable that the nursing shortage has become a global issue that has put patients care at higher risk and residents are complaining of poor care. It has been found that some nursing homes are highly understaffed that have endangered the lives of patients (Ellis & Hartley, 2004). Thousands of nurses are needed in nursing homes to address the health issues of patients who need assistance to recover from chronic diseases. But, they are losing hope and facing more health complexities due to the shortage of nursing staff. Some evidence-based major complexities that emerge from lack of nurses' assistance include hypertension, catheterized patients, urinary infections, poor feeding resulting in malnutrition, dehydration and most prominently decrease in the participation rate of patients in healthy activities (Siela, 2009). Nursing staff is responsible for taking care of patients during medicines intake or meal time and their absence lead patients to more complex health conditions. †¢ Problem and Problem Statement: Present literature over closely related issues shows that no study has contributed to highlight the factors, which are responsible for causing understaffed nursing problems in hospitals. †¢ The significance of the Problem: Lack of identification of responsible factors is a crucial issue and its solution can lead to resolving problems of the understaffed nursing sector. This problem has significant importance as it will help practitioners and researchers recognize the areas, which need proper attention and modification to provide standard healthcare services to the patients. Additionally, a research-based study covering an important issue related to understaffed nursing department might also contribute to open the gate and beneficial opportunities for those individuals, who seek to build up the career in the field of nursing.  A study conducted by Buerhaus, Donelan & Ulrich in 2005 aimed to find out the rate and impact of registered nurse s in the hospitals.

Summary about the Rwanda Genocide Essay Example | Topics and Well Written Essays - 500 words

Summary about the Rwanda Genocide - Essay Example The majority called Hutu and the minority the Tutsi. Tutsi held the majority of the political power despite their small population as compared to the Hutu. In 1984, the Germans became the first colonial power in Rwanda. They realized that the Tutsi had light skins, and they were tall. To the Germans, the characteristics resembled Europeans hence they favoured them in issuing responsibilities. The First World War made the Germans lose their colonies including Rwanda (Mamdani, 2001). Belgium took over Rwanda and introduced the identity cards. The Tutsi continued to receive favour from the Belgians, leaving the Hutu behind. the Belgians gave the Tutsi leadership positions which made the majority of the population, the Hutu terribly angry. However, during Rwanda’s’ struggle for independence, the Belgians made the new self-dependent government in the hands of the Hutu. This further increased the tension between the two ethnic communities. In 1994, the year which the genocide took place, President Habyarimana while coming back from Tanzania, was assassinated. A surface-to-air missile shot the presidents plane killing everyone on board. This made the Hutu extremely angry, and within 24 hours of the assassination the slaughter had started. In Kigali, the Hutu blocked the roads and interrogated the road users. They were supposed to produce their identity cards to prove that they were Hutus. The Tutsi were killed instantly. The killings were done by the use of clubs, machete and knives. The Hutu youths who doing the killings called themselves interahamwe, this means those who strike as one. They also went after the government officials who were Tutsi and the Hutu officials who supported the Tutsi (Mamdani, 2001). This included the prime minister. Ten Belgians UN peacekeepers tried to protect the prime minister and were killed in the process. The Tutsi started running towards the hills

Rita and Sue Escaping Constraints of Class and Gender Backgrounds Movie Review

Rita and Sue Escaping Constraints of Class and Gender Backgrounds - Movie Review Example The film's opening sequence show's Sue's father swaggering from drunkenness on his way home. Meeting Sue just before he approaches the house, he questions the girl as to where she was going and admonishes her not to be out all night. Sue tells him to mind his own business and that she'll be back when she wants. This first instance immediately shows escapist behavior for Sue who disregards male dominance and asserts feminism. "The changing nature of work the introduction of new technologies and the subsequent deskilling of traditional male jobs have undermined traditional working-class masculinities." (Rutherford 1988) The next scene is Sue and Rita going to Bob's house to baby-sit. Also early in the firm, Sue works for a taxi company where she meets Aslam. Again these depict the feminine response to the changing economic and social circumstances of the period. Instead of females staying at home and males going out to work, Rita and Sue are escaping the traditional gender expectation that they assume domestic roles. In another scene, Sue derides Aslam. She first insinuates that being Pakki or Asian is beneath her class, and then makes up her mind that since Aslam is a man he’d probably be no different from all other men, which passes judgment on the growing emasculation of the males of her time. The use of profanity throughout the film is another form of escape. Vulgar language is freely used by males and females alike. For the females, use of such language is gender freedom from previous eras when men silence women. The girls’ sauciness is also a form of rebellion against conformity, an underclass characteristic which have tends to prevent its members from rising above their class. Very prominent in the story and on which the plot revolves is the sexual relationship between Bob and Rita and Sue, including the minor details it involves. The entire series of sequences portrays escape for the two female lead players from their underclass which is characterized by unemployment, work devaluation, welfare dependence, broken families, de-stabilization of the male-breadwinner role, poor education, poverty, criminality and disadvantages in housing. Having fun by just getting a lift or a drive in Bob's car, baby-sitting in a middle-class house expensively decorated and furnished, with nice lawns and open spaces, enjoying a rock video on a comfortable sofa, going to the nightclub, many meetings in not very popular public places, reveling in dancing to Black Laces's Gang Bang without a care in the world, are all forms of escape for Rita and Sue. Contrast Rita and Sue's squalid housing against Bob's relatively affluent middle-class home. By simply being in Bob's house, the two girls experience a different world and escape their own. Getting a lift, going for a ride, listening to the radio in Bob's car, all pass time away from the urban decay of their Bradford Buttershaw Estate. Going to the nightclub and many other public places, watching Black Lace and dancing to their tune would all not be affordable in the girls' current status. But being in a relationship with Bob has provided them many new experiences and opportunities for escaping their realities, albeit temporarily. From what the

The General Principles of Operation Management Essay

The General Principles of Operation Management - Essay Example Being selected by a lot of market research and surveys as the car of the year for a number of years it shows that, Toyota has an unbeaten record worldwide. Due to the good quality Toyota's worldwide fame and success kept going, back in 1995, Toyota was the top car in the Middle East. Moreover, TMC has manufactured extremely high-quality cars that do not make much noise or do they do produce unpleasant fumes, Toyota uses more than 40 emission-control systems, it also uses dozens of technologies that have improved passenger-car safety. 2) The second performance objective is speed, this objective highlights the fact that by doing things on reasonably fast speed, the company can minimize the time between the order and the availability of the product same goes for a service this tends to give the customer a speed advantage over other companies. The TMC's techniques are highly focused operations that lessen complexity by using easy as well as small machines, which are robust and supple. This is done by rearranging the layout along with the flow in order to improve simplicity improves the speed of production. Statistics of the late 1980 show how 27 years back the output per worker was a lot more than US or European plants. 3) The third performance objective is dependent... 3) The third performance objective is dependability, this objective highlights the fact that the organization has performed complete its production in the time period which it has promised the customer (David 2006). In order to get a better understanding of this objective a good example to quote here would be that TMC includes 'Just-in-time' (JIT) production system along with workers who are multi-skilled that work as a team, They use 'kanban control' which has permitted them to deliver products as they have promised. Improving efficiency as well as quality is the first and foremost concern of not only the managers and technical experts but also of each and every employee. So, it can be said that TMC is a good example of the third objective. 4) The fourth objective is 'flexibility', this objective involves the responding to a vibrant environment of the organization that brings change in their products and services it also changes the manner in which they do business. An organization has got to learn to love a change in order to develop flexible as well as responsive organizations to manage with a good dynamic business environment. (Peters, T. 1998) Again to demonstrate the importance of these objectives the example of TMC will be used. The TMC plant is always adopting new and innovative manufacturing resources, in order to launch new models at a fast pace. Due to this Toyota was able to attain an extremely high level of flexibility, producing fairly small batches of diverse models with slight or no loss at all of productivity or quality. TMC during the years has provided an array of options from which customers can select from.

Crimes and Misdemeanors Essay Example for Free

Crimes and Misdemeanors Essay Crimes and Misdemeanors Woody Allens, Crimes and Misdemeanors, film paints a realistic picture of the real world in which we all live. His film brilliantly portrays the lives of how a large amount of people across this globe live their own life and does not attempt to sugarcoat any event that occurs in the movie; he merely tells it how it is and provides information for what people should expect in todays world. Allen takes on the issue of the human races true beliefs of morality and what actually happens in he real world, in contrast to what typically takes place in movies. Allen transpires different events throughout his movie that create a lingering question for his audience on the thoughts of morality in a godless community. Adultery, lies, and murder were only a small sum of the crimes that were committed in Allens movie. However, the question becomes how the characters reacted to their own acts of immorality. The most in depth storyline in this movie was that of Judah Rosenthal, who comes to the conclusion that in a world devoid of godly resence, all acts are permissible, even adultery and murder. Once a person erases their belief on certain morals and values, it is much easier for them to erase crimes or immoral acts they have committed from their mind as being immoral. Judah does an extraordinary Job at showing this in the movie when he finds out that someone else was arrested for the murder of Dolores; he automatically knew he was off the hook and made himself believe he did no wrong. By doing this he was capable of going on and living his life. Another main character in Allens movie, was one layed by him himself. Throughout the movie Cliff embarked on new ideas and experiences because they were his passion and what he believed, however at the end of the movie we watch as Cliff loses everything he believed in from his love, his career, and his family. Many may question why Cliff would lose everything if he had so many good strong beliefs and how Judah can move on with his life even after being involved in a murder. However, the answer according to this movie is simple. We as the human race, define ourselves by our choices, with the absence of god. In he issue concerning Cliff losing everything he believed in, it wasnt necessarily a punishment, but in all actuality shows how it can be relevant to real life. Not all times, does a person with good morals get what they want. In addition, Judah was going to move on with his life no matter if he had a religious background or not. Judah saw the world as, once God is gone all things are permissible, which shows his true morals and values as a person. His character depicts the life of one who has done wrong and escaped punishment in their life at some point, which again can be pplied to the real world on a daily basis. Regarding the different situations that occur all across this movie, it is shown that there can be a sense of morality in our world without the belief of a certain religion. This movie portrays many types of religious beliefs within the characters and then goes on to show that even people who do not necessarily believe in God, still have morals they might Just value certain areas more than others. God is essentially a the absence of god, anything anyone wants to make permissible to their own self can be made permissible.

Is General Will Compatible With Individual Freedom Politics Essay

Is General Will Compatible With Individual Freedom Politics Essay Jean-Jacque Rousseau wrote at a time before great social and political change in Europe. His texts remain one of the classic concepts of political theory. His writings have been thought of by many as, the bible for the French Revolution for his foresight and perhaps predictions for the violence and terror that followed. His text, The Social Contract (1762) is made up of 4 books. In Books 1 and 2 he aimed to address the problem of political morality and the theory of institutions in Books 3 and 4. Rousseau was a defender of democracy, an advocate for individual liberty and an egalitarian. Rousseau begins with the famous opening lines, Men are born free, yet everywhere are in chains He starts by explaining the way in which men are bound to the chains of civil society which restrain the natural right of man to an objective independent freedom. He believed that civil society does not give man the freedom, liberty and equality that were promised to him when joining society. Rousseau believed that the only way to prevent these shackles from becoming uncomfortable would be by the collective creation of a body in society forming a single will, the general will. When answering the question it is important to understand the idea of the rule of the general will to see if it is compatible with the freedom of the individual. The general will is expressed by the sovereign (either an individual with a unified will or a collective body in society). The definition and purpose of this general will is to act in the needs and desires of the collective and to sustain the common good for all people. Rousseau explains, The English people believed itself to be free. It is greatly mistaken; it is free only during the election of the members of Parliament. Once they are elected, the populace is enslaved; it is nothing . To Rousseau the idea of the general will is one of free debate in an assembly of individuals and equals of what is of common interest. In Chapter 15 of Book 3 he puts forward the idea that sovereignty cannot be represented, because it consists of the general will and the general will cannot be represented . J. Plamenatz (1992) gives this reason for Rousseaus argument for direct as apposed to representative democracy. Every citizen in Rousseaus ideal society should make the laws themselves and not entrust this job in the places of others. This was Rousseaus third principle. In essence general will gives every individual in the collective the freedom to vote how he pleases in the assembly and ultimately everyone has a say in the running of the society as the democracy is direct. However, Rousseau retains that general will should not be the desire of the individual will, but what will be beneficial for everyone. Rousseau also believed that whoever went against obeying the general will ought to be enforced to do so by the whole body. This means nothing other than that he shall be forced to be free . What Rousseau means by this is that by people having the obligation to adhere to the social contract and by having to receive the benefit of the general will, theyre gaining freedom. This is in contrast to Hobbes and Locke who believed laws were created to stop us wandering from the path of civil obedience and referred to as hedges. Rousseau asserts that it is the process of law making that sets us free. His key argument was that if we are the authors of the law then we could manifest our own freedom and independence. According to Rousseau we are all born free and have the capacity to be free but to achieve this Rousseau believed we have to build a social government that does not enslave us. It could be argued that Rousseaus idea of the rule of the general will, is compatible with the freedom of the individual. This is because Rousseau described the notion of there being 2 different types of freedom. There is social freedom and a personal freedom. He also refers to personal freedom as the state of nature. Rousseau said that freedom was only reachable when the populace obeyed the laws it set itself. J. Plamenatz (1992) describes this by explaining ideally we would say, I alone have made the law that I obey but that this is impossible and instead the most we can hope for is that each should say, I obey the law that we have made rather than I obey the law that they have made. This ideal is that every citizen should identify himself with the community that makes the law . Rousseau bellied that the ab ility to follow these rules and laws would only be possible once one recognised themselves as a part and member of the community of lawmakers. Rousseau had previously discussed the first explanatory problem of the origins of how we became unfree, when we are born naturally free in the state of nature. He wrote about this in Discourse on the Origin of Inequality (1755). It is in The Social Contract (1762) that he explained the second problem, the justificatory problem and suggested an answer. Rousseau asserted that power only becomes legitimate once the people consent to it and. He said, Each of us puts his person and all his power in common under the supreme direction of the general will; and in a body we receive each member as an indivisible part of the whole In conclusion, Iain Hampsher-Monk writes in A History of Modern Polticial Thought that, part of the main, objective of the general will, therefore is its constant tendency to equality . He says that the notion of obeying ourselves is a difficult one to understand, however he explains that in this way of setting and obeying our own rules, tyranny can be guarded against . Whilst some scholars have regarded Rousseaus political thought as pointing towards totalitarianism, (as he advocates complete subservience to the state) many others regard him as a firm liberal and a defender of freedom and equality. For this reason it is believed that Rousseaus idea of the rule of the general will is compatible with the freedom of the individual, as in Rousseaus state; the popular sovereignty effectively governs themselves by legitimising the chains of society and reconciling sovereignty , freedom and authority.