... a momentary rate of change and then extrapolating the total area. He began by reasoning about an indefinitely small triangle whose area is a function of x and y. He then reasoned that the infinitesimal increase in the abscissa will create a new formula where x = x + o (importantly, o is the letter, not the digit 0). He then recalculated the area with the aid of the binomial theorem, removed all quantities containing the letter o and re-formed an algebraic expression for the area. Significantly, Newton ... the "limit" of the sum exists as the length of the longest subint...

• Word Count: 6149
• Approx Pages: 25
• Grade Level: Undergraduate

... the meaning of an where n is a positive integer; derives inductively the laws of exponents (Exponents restricted to positive integers); illustrates the laws of exponents; adds and subtracts polynomials; multiplies and divides polynomials; finds inductively using models the (a) product of two binomials, (b) product of a sum and difference of two terms, (c) square of a binomial, (d) cube of a binomial, (e) product of a binomial and a trinomial; finds algebraically the (a) product of two binomials, (b) product of a sum and difference of two terms, (c) square of a binomial, (d) cube of ... ...

• Word Count: 4402
• Approx Pages: 18
• Has Bibliography
• Grade Level: Undergraduate

... economics 2. the content and form of triangles involving Russia 3. the new form and content of triangles involving Korea. An analysis of these three examples of strategic geometry in the post Cold War era will highlight the usefulness of the concept in analyzing the transition in the system from one era to the next. the US-Japan-China triangle An analysis of the US-Japan-China, an old triangle with new content illustrates many features of the transition from the Cold War to the post Cold ... War system of international ... ...

• Word Count: 4761
• Approx Pages: 19
• Grade Level: Undergraduate

... Barbados, Trinidad, Tobago, Martinique and Guadeloupe. Jamaica lies in the center of the Caribbean Sea, 90 miles south of Cuba and 100 miles west of Hispaniola. Jamaica is the largest of the "West Indies", having an area of 4,411 square miles, a length of 146 miles east to west, and a width of 51 miles at the greatest point. Jamaica belongs to a group of islands created by the summits of a submerged mountain range connecting Central America to present day ... -exported to other English colonies, but most stayed in Jamaica and were exchanged for the primary products of Jamaica, namely sug...

• Word Count: 2771
• Approx Pages: 11
• Grade Level: Undergraduate

... , or sociometric representations which can be seen in most sociograms. Some of these are the star, which is the most popular member, the pair or mutual pair, a chain structure which is typical with most sociograms and links the members through others, and a triangle, which shows that there is a clique within the group. As mentioned above, it is important that the group members get along with each other if ... judge which of three lines of different length were the same length as the standard line. The answer in all cases was obvious. When each subject was alone, neither of them made mist...

• Word Count: 3429
• Approx Pages: 14
• Has Bibliography
• Grade Level: Undergraduate

The Utility of Punishment Born from the ashes of the 18th century, the nature of human action was shifted with the arrival of a new ethical theory of utility. The divine law and virtue ethics use to be the standard of measurement, yet now the net utility of actions where weighted for their pleasures and usefulness. As the western mind changed from that of a power triangle, with God and nobles on top and peasants at the bottom, to an ... morally right, whether his motive be duty or the hope of being paid for his trouble" (18). "The great majority of good actions are intended not for the benefi...

• Word Count: 3279
• Approx Pages: 13
• Has Bibliography
• Grade Level: Undergraduate

... The Age of Innocence- Edith Wharton's novel The Age of Innocence is set in the aristocratic New York of the late nineteenth century, and uses irony throughout to demonstrate the contradictory nature of that society, as well as the inconsistency and hypocrisy of many of the characters. The title itself is evidence of an ironic slant on that society, since it is clear throughout the narrative that whereas innocence is something which is, at least on the ... straight up and down with no convolutions. She is friendly with the aristocracy, and with people who have no social standing at all. Ma...

• Word Count: 2957
• Approx Pages: 12
• Grade Level: Undergraduate

... . Technology puts both employees and managers in a perpetual state of surprise and it's an expensive party to pay for. Technology promised to make business operate more efficiently, increase productivity, and free employees for more creative, interesting pursuits. In practice, instead of making business life easier, technology often has the opposite effect. Since 1980, U.S. corporations have invested over $1 trillion ... This includes full-time, part time workers, self-employed and those who work for wages and salaries, operating primarily out of their home. People work at home as part o...

• Word Count: 5590
• Approx Pages: 22
• Grade Level: Undergraduate

... in length, and weighs only approximately 30 grams (Mathur & Shiel, 2013). The thyroid tissue is made up of two types of cells: follicular cells and parafollicular cells. Most of the thyroid tissue consists of the follicular cells, which release iodine containing hormones called thyroxine (T4) and triiodothyronine (T3). The parafollicular cells release the hormone calcitonin (University of Maryland, 2013). The "3" and "4" refer to the number of iodine molecules in each molecule of thyroid hormone. The thyroid ... who were considered to have subclinical hypothyroidism. During the first ph...

• Word Count: 2722
• Approx Pages: 11
• Has Bibliography
• Grade Level: Undergraduate

... back pressure develops in left atrium the left atrial wall hypertrophies. Pressure within heart makes it hard for pulmonary veins to deliver blood to right atrium leading to increased pressure in veins. As congestion builds in veins, fluid from blood leaks out into tissue causing edema. Poor circulation causes cyanosis because an inadequate amount of oxygen is reaching tissue. Can ... DISEASE Septal defects, aka. Blue baby. Occur between two atria, an atrial septal defect ASD or between ventricles, a ventricular septal defect VSD. Detected by heart mummur. Blood in right heart will be mi...

• Word Count: 3244
• Approx Pages: 13
• Grade Level: Undergraduate

... the side if the reader did not enlist for armed service. All the posters also suggest that the armies would be on the defensive, not the aggressors in the conflict, The differences, however are more readily recognised, the patriotism in the former sources being subsequently replaced by usage of basically fear, with the threat from the "mad brute" contrasting to the easy and confident stance of the ... generals and be dissected by shrapnel, all the while "trudging through mud." (Dulce et Decorum Est). Indeed, the fact that one of these sources is merely an advertisement, while the other i...

• Word Count: 6124
• Approx Pages: 24
• Grade Level: Undergraduate

The mention of the word "pirate" can evoke powerful images of Somali criminals hijacking ships worth many millions of dollars. However, the alternate definition of the word-the illegal distribution or receipt of copyrighted materials-is the cornerstone of an economic and social phenomenon that encompasses a financial scope many times that of Captain Blackbeard. It is as such rather unfortunate that the public and the government share the same negative connotation of both concepts of piracy. Regulatory legislation ... , their seventh full-length album. This album was distributed without major l...

• Word Count: 2876
• Approx Pages: 12
• Has Bibliography
• Grade Level: Undergraduate

... as he could see, on every side, the landscape was heaped up into monotonous red sandhills. . . . The blunted pyramid, repeated so many hundreds of times upon his retina and crowding down upon him in the heat, had confused the traveller, who was sensitive to the shape of things. (17-18) In resignation the priest closes his eyes, "to rest them from the intrusive omnipresence of the triangle" (18), and in this moment-which ... "eternal returns" that seek reunion with an absolute Other. Near the end of Beyond the Pleasure Principle, Freud speculates on the origin and nature of the "large un...

• Word Count: 7335
• Approx Pages: 29
• Grade Level: Undergraduate

... positive relationship characteristics, whereas avoidant and anxious/ambivalent styles were more related to negative conceptualizations of romantic love. Also, Feeney and Noller (1990) argued that secure people are more successful in love relationships because their relationship length tends to be longer, and they have low scores on "unfulfilled hopes scale". Feeney and ... ensure the reliability of the results. In the second study, they also included measures of state and trait loneliness. The results in the two studies revealed that the effects of attachment style on love experiences w...

• Word Count: 2827
• Approx Pages: 11
• Has Bibliography
• Grade Level: Undergraduate

... 1942 and was prescribed for various conditions including labor pains, nausea, and rheumatism. Its use as an intoxicant was also commonplace from the 1850s to the 1930s. A campaign conducted in the 1930s by the U.S. Federal Bureau of Narcotics (now the Bureau of Narcotics and Dangerous Drugs) sought to portray marijuana as a powerful, addicting substance that would lead ... the Mexican government agreed to eradicate the crop by spraying it with the herbicide paraquat, raising fears of toxic side effects. Colombia then became the main supplier. The "zero tolerance- climate of the Reagan and...

• Word Count: 5106
• Approx Pages: 20
• Grade Level: Undergraduate

... c-sections (Strother-Ratcliff, 2002). Another routine medical routine that is followed is the use of the "Friedman Curve," which is used to define the "safe" length of labour in each stage. If a woman falls outside this range, they would be artificially speeded up (by using oxytocin to strengthen the contractions) in order to give birth "on time." While some people ... those that were considered to be routine, safe, and even necessary for the woman and her baby, when in reality, they were the opposite. The medicalization of childbirth can also have other implications for women who are ha...

• Word Count: 3380
• Approx Pages: 14
• Has Bibliography
• Grade Level: Undergraduate

... were in fact creating their own identity (H&H, page 278-279). If there was no opposite there would be nothing to measure it against, so through creation of the "other" Said believed that the west had an excuse for colonisation. The practise and creation of the other is clearly evident in The Lost World . Representation and the "other" then have to do with binary oppositions and stereotypes and it is towards ... then that theoretical boundaries are marked off between the self and the "other" (Anthropology of the media, page 124). Colonial logic is evident in The Lost World's use of "colo...

• Word Count: 5435
• Approx Pages: 22
• Grade Level: Undergraduate

... is the result of the main consequence - discrimination of female rights from the mail side, which dominated almost from the first showing up of "Homo Sapience". And that caused and reflected on the second consequence - female passiveness in the mail-dominated spheres, in this case- the politics. The politics until today remains the destiny of men; family defines the status of women in most cases. B. Research Structure. In order to prove the hypothesis there have been done an ... not only physically but also morally. The adult males become those whom the society wants to have - the brave...

• Word Count: 5989
• Approx Pages: 24
• Grade Level: Undergraduate

... will go to any length to defend their constitutional rights. Can the democratic illusion, which America creates, really serve to allay our fears that we live in an autocratic society? As the United States of America increased in size and population so too did the need for change. On the 7th of January 1795 the eleventh amendment was ratified this Amendment served to limit the jurisdiction of the federal judiciary. Another very ... is the opposite of what we have seen happen throughout the years. Bringing to light recent events since September the 11th 2001 and the extremist right wing p...

• Word Count: 2722
• Approx Pages: 11
• Has Bibliography
• Grade Level: Undergraduate

... idealize and honor mothers more than fathers, this does not imply that the father has little impact on childrearing, in fact the opposite is true. Recent studies have shown that fathers are just as good as mothers at taking care of, nurturing, and bonding with children- even in early infancy. More importantly, the research also indicates fathers continue to affect daughters in their academic lives ... , it does not always indicate that the mother is spending time with the children. On the other hand, when the father comes home from work, he devotes all his time with the children, thus it...

• Word Count: 3134
• Approx Pages: 13
• Grade Level: Undergraduate

... case, horror movies have seen immense success around the world regardless of their explicit and sickening nature. It is simple enough to watch a feature-length film as an ordinary audience member, but just as necessary is the point of view of the director. Fear manifests itself in many shapes and sizes, and the director bears the responsibility of evoking the strongest reactions possible. He can make his audience ... hide their eyes in fear while tantalizing them with the possibility of a happy ending. A crafty one can ... pathos will always excite some form of fear in horror films, esp...

• Word Count: 5550
• Approx Pages: 22
• Has Bibliography
• Grade Level: Undergraduate

... subject matter in common, but only slightly. Recent analyses of book-length texts for young L1 readers by Gardner (1999) point to a similar conclusion. He treated several novels of the same genre (e.g. Egyptian mummy mysteries) as a single corpus and found few instances of frequently recycled words, except for very common items. These findings hardly amount to an argument for abandoning theme-based approaches to language teaching ... , however. On the contrary, theme-based activities offer L2 learners an interesting ... ...

• Word Count: 7274
• Approx Pages: 29
• Grade Level: Undergraduate

... Curtain Speech and George Kennans Long Telegram. Lastly, it is important to consider how American economic and military concerns provided further motivation for the creation of a new threat. Much of the conflict between the United States and the Soviet Union stemmed from a general mistrust between each side. A root cause of this mistrust began during the Second World War. On July 18, 1941, Soviet Prime Minister Joseph Stalin requested that ... , [Truman] was a changed man.26 However, Trumans actions had the opposite effect of what he had hoped. Stalin saw the powerful Red Army as the onl...

• Word Count: 5160
• Approx Pages: 21
• Has Bibliography
• Grade Level: Undergraduate

... for next spring or summer when the Palestinian Authority declares an independent state in all of Gaza, the West Bank, and East Jerusalem. This might develop into a full-scale war with Syria and possibly Egypt as these countries are drawn in, either spontaneously or by prior coordination, on the Palestinian side. The war might then be augmented by an all-out Hezbollah assault on Israeli ... radar detection. In 1985 Israeli F-15s refueled in flight and bombed the headquarters of the PLO near Tunis, Tunisia, at a distance of more than 2,000 kilometers from their bases. Conscription: Militar...

• Word Count: 6784
• Approx Pages: 27
• Grade Level: Undergraduate

... arenas: a label in the minds of the voters, as an organization that recruits and campaigns for candidates, and as a set of leaders who try to organize and control the legislative and executive branches of government. Politics took a more or less stable two party system initially comprised of the Jacksonian democratic party of the day and on the other side of the fence was the Whig party essentially opposite of Jackson. Different parties, especially in the two party system usually ... take opposing views on many issues, although in order to not alienate voters each side must straddle cer...

• Word Count: 3055
• Approx Pages: 12
• Grade Level: Undergraduate