Discrete Population Growth Lab Report Example | Topics and Well Written Essays - 500 words - 1

Discrete Population Growth - Lab Report Example y, during a period of an extremely populous generation resources are brought to scarcity and life and reproduction are made harder for individuals, leading to a decline in population numbers. These ideas are well reflected by modeling the situation with a function assuming low values on both ends of the range of argument, and high values in and around its center. The equation below is a simple example of this kind of model, using a variable parameter k to account for variable reproductive strength of different species and/or a given species in different environments. The equation predicts the size of (n+1)-th population pn+1 as a quantity considered dependent only on the size of n-th population pn: Using the program Grapher by R. Decker, the first 100 terms of the sequence generated by equation [1] were generated and plotted for several initial situations characterized by different combinations of p0 and k. Graphs in Figures 1 to 4 show four situations combining the values of 0.5 and 0.8 for p0 and 1.5 and 2.5 for k. The graphs make clear the sequence converges rather quickly under these conditions. The limit values are 0.33 for k = 1.5 and 0.6 for k = 2.5, regardless of p0. This behaviour is seen for k values between 1 and 3. The graph in Figure 5 is different in that there are two values between which the population numbers keep alternating. The graph has been produced for values k = 3.2, p0 = 0.5. Experimenting with the program proved such behaviour is characteristic for values of k between 3.0 and 3.4 (see also Figure 6). For values of k exceeding 3.4, the lines observed in Figure 5 become increasingly split or blurred (see Figures 7 and 8) until k = 3.6, where the alternating course of the sequence gives way to chaotic behaviour (see Figures 9, 10, 11 and 12). In this range, changing the value of k by only 0.001 has profound impact on the sequence terms (compare Figures 9 and 10, and Figures 11 and 12). Figure 12, produced for k = 4.0, reveals an

Comparing Rhetoric Styles of Kennedy and Clinton Essay

Comparing Rhetoric Styles of Kennedy and Clinton - Essay Example John F Kennedy and Bill Clinton were not only the greatest leaders of American politics in the twentieth century, but they were two of greatest American orators also. These two prominent leaders faced many rhetorical problems during their public meetings. This paper compares similar rhetorical problems faced by Clinton during his addressing in the 1992 American Legion Convention and Kennedy during his speeches to the Houston Ministerial Association in 1960. During his election campaign speech on September 12th, 1960, John F. Kennedy addressed Houston Ministerial Association which consists of ministers from the Protestant community. Kennedy himself was a firm Roman Catholic believer and he forced to speak about his stands on religion. Because of the increasing conflicts between the Protestants and Roman Catholics, the Houston Ministerial Association members were curious to know what Kennedy says about religion or the beliefs of Protestants and Roman Catholics. In other words, Kennedy was forced to solve the problem; how to uphold his religious belief without causing any insults to the Protestants. Same way Bill Clinton also faced the same type of dilemma during his speech in the 1992 American Legion Convention. Clinton was a strong critic of Vietnam War and he had no military service experiences when he was contesting in the 1992 presidential election. The general public had some concerns about Clinton’s abilities in performing well as the commander in chief of the United States.... Both Kennedy and Clinton faced the dilemma of convincing the audience; something beyond their proven abilities, values, ideals, beliefs etc. In short, public inertia was the common rhetoric problem faced by Kennedy and Clinton. Inertia is the property of an object to stay in its position until an external force changes its position. Both Kennedy and Clinton applied the external force through their speeches to change the beliefs of the audience. I believe in an America where religious intolerance will someday end, where all men and all churches are treated as equals, where every man has the same right to attend or not to attend the church of his choice, where there is no Catholic vote, no anti-Catholic vote, no bloc voting of any kind, and where Catholics, Protestants, and Jews, at both the lay and the pastoral levels, will refrain from those attitudes of disdain and division which have so often marred their works in the past, and promote instead the American ideal of brotherhood (Ken nedy) Here Kennedy tries to uphold his belief in secular values. He tries to convince the public that in an election campaign, religious beliefs and customs have less prominence in front of the interests of the country. He has stressed the importance of isolating religion from politics during this speech. He argued that America should never become a country which takes orders from the heads of different religions. He had also mentioned that any activity against a particular religion or community should be treated as the activity against the American. In other words, he neither supported his community (Roman Catholics) nor he opposed his opponent community (Protestants). He has maintained a neutral approach about religious beliefs throughout his speeches. Thus he