.... -If p is a prime and a is a prime to p then ap-1-1 is divisible by p, that is, ap-1-1=0 (mod p). The proof of this, first given by Euler, was known quite well. A more general theorem is that a0-(n)-1=0 (mod n), where a is prime to n and p(n) is the number of integers less than n and prime to it. -An odd prime number can be expressed as the difference of two square integers in only one way. Fermat's proof is as follows. Let n be prime, and suppose it is equal to x2 -y2 that is, to (x+y)(x-y). Now, by hypothesis, the only basic, integral factors of n and n and unity, hence x+y=n and x-y=1. Solving these equations we get x=1 /2 .....

.... in the United States then offering a first-class scientific education. (Kraeuter, 74). De Forest went on to earn the Ph.D. in physics in 1899, with the help of scholarships, and money his parents made by working odd jobs. By this time he had become interested in electricity, particularly the study of electromagnetic wave propagation, then being pioneered chiefly by the German Heinrich Rudolf Hertz and the Italian Guglielmo Marconi. De Forest's doctoral dissertation on the "Reflection of Hertzian Waves from the Ends of Parallel Wires" is said to possibly be the first doctoral thesis in the United States on the subject that was l .....

.... his election campaign in 1992. That has given his credibility and the polls a big push down. One of his promises was his health program, the purpose of this was to give people with not so many money a chance to get treated at a hospital. In US you are supposed to pay hospital-bills yourself. It is something like our public health insurance where the government pays for the ho¬ spitals. In US it is a problem that the poor can not afford the medicine and therefore they sometimes do not get any. This healthprogram was unfortunately voted down by the republican majority in the Congress The US government has also an extreme mater .....

.... of that year Marx along with another Left Hegelian, Arnold Ruge, moved to Paris and began publication of a radical journal entitled Deutsch-Franzosische Jahrbucher. However due to the problems in publishing such a radical paper, only one issue appeared. Karl met his closest friend in September of 1844, when Frederick Engels arrived in Paris. Together they participated in the activities of many revolutionary communities. They formed the theory and ideas of revolutionary proletarian socialism, also known as communism. Also in 1844, Marx wrote a revolutionary book called the Holy Family. It is a materialist view of the history of .....

.... It was then that he imagined that man under the two circumstances and came up with the idea. After about twenty years of pondering on the story , he decided that he would start on the novel of The Old Man and the Sea. The story The Old Man and the Sea is about a old man named Santiago who has to over come the great forces of nature. Things seem to always go wrong for him because originally he started out going to fish for some dinner, then he caught the biggest marlin ever and it pulled him out in the bay of Cuba even more then he was. After he was pulled out, he hurt his hands and couldn't risk going to sleep because of .....

.... his existential personal philosophy and his ideas about the evils of technology. He states, "I am the enemy of all technological progress that threatens mankind" (Nuwer, 39). The influence of Dresden shows up in each of the novels. In Cat's Cradle, one element of his experience at Dresden that Vonnegut portrays is his fear of technology. Initially, the intention of the story is for the narrator to write about what the scientists who invented the atomic bomb were doing the day it was dropped on Hiroshima. To this effect, one of the scientists in the story said, "Science has now known sin," to which another replied, "What is .....

.... his life. A Republican citizen's committee in Whittier was considering Nixon as a candidate for Congress in the 12th Congressional District. In December 1945 Nixon accepted the candidacy with the promise that he would "wage a fighting, rocking, socking campaign." Jerry Voorhis, a Democrat who had represented the 12th District since 1936, was running for reelection. Earlier in his career Voorhis had been an active Socialist. He had become more conservative over the years and was now an outspoken anti-Communist. Despite Voorhis' anti-Communist stand the Los Angeles chapter of the left-wing Political Action Committee (PAC) endorsed .....

.... novels. Among these are Ann Veronica, promoting women's rights; Tono-Bungay, attacking irresponsible capitalists; and Mr. Britling Sees It Through, depicting the average Englishman's reaction to war. After World War I Wells wrote an immensely popular historical work, The Outline of History. Throughout his long life Wells was deeply concerned with and wrote voluminously about the survival of contemporary society. For a time he was a member of the Fabian Society. He envisioned a utopia in which the vast and frightening material forces available to modern men and women would be rationally controlled for progress and for the equal .....

.... clear to us that despite all her achievement, Esther’s true state of mind is not in the right place. As the story goes on she has to make a decision, like Sylvia, whether she wants a career or a family (LW, pg. 38). “Esther sees herself as something else than primarily a housewife, and she uses much of her energy to try to avoid marrying the one she is expected- Buddy Willard”(SP, pg3). Like Sylvia, she did a summer internship in New York City, and suffered a mental collapse, and was institutionalized. While Esther’s future in the novel’s conclusion is still unknown. You can see Esther’s confusion; frustration .....

.... form a mosaic in one locality and intermingle with other plant associations. Eucalyptus trees are classified according to their bark types--hence the names stringybark, ironbark, bloodwood, and smoothbark (the gums that shed their outer bark annually). The most widespread is the river red gum. Mallee eucalypts survive in semiarid regions by growing multiple stems (lignotubers) from a common rootstock. The world's tallest flowering plant is a southern eucalyptus, the mountain ash. Its height can exceed 325 feet (100 meters). Building timbers are obtained in Victoria from alpine ash and mountain ash, in New South Wales and Queensla .....