... calculus and Newton's method of fluxions into mathematical analysis; refined the notion of a function [f(x)]; made common many mathematical notations, including e, i, the pi symbol, and the sigma symbol; and laid the foundation for the theory of special functions, introducing the beta and gamma transcendental functions. He also worked on the origins of the calculus of variations. But his work did not only reside in math. He was also a pioneer in the field of topology and made number theory into a science, stating the prime number theorem and the law of biquadratic reciprocity. In physics he articulated Newtonian dynamics and laid the foundation of analytical me ...
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... arrived from the river road. Burgoyne steadied the timid British line and gradually forced the Americans to withdraw. Shaken by this American victory, the British commander ordered his troops to lodge in the surroundings of the farm area and wait for support from Clinton, in the south. They waited for almost three weeks, but he didn’t come. By now Burgoyne’s situation was tough. He was now facing a growing American army without help from the south, and their supplies were rapidly diminishing. They grew weaker every day. Burgoyne had to choose between advancing or retreating. He decided to risk a second battle. A force of 1,500 men moved out of the Brit ...
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... operation, involving approximately 5,000 ships of all kinds. About 11,000 Allied aircraft operated over the invasion area. More than 150,000 troops disembarked at Normandy on D-Day. Because all major French ports in the north were mined and fortified, the Allies improvised two artificial harbors, with pontoons, breakwaters, and sunken ships. One of the harbors was destroyed by a severe Atlantic gale, but the other worked perfectly. Twenty pipelines below the Channel were used to bring in critical supplies of gasoline for the tanks. The Germans had anticipated an Allied invasion of western Europe at about this time but were surprised by its location. Gen. Gerd ...
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... be found in famine. However, the United States is spending U.S. tax dollars in vain. Many congressmen are also unhappy in with the way the U.S. tax dollars are being spent. Senator John Warner, Republican Virginia, a senior member of the Senate Armed Services is very unhappy of the unnecessary spending of the U.S. dollar. Warner stated: "Based on briefings tax payers have spent $750 million on the Gulf War effort," (USA TODAY 2/27/98). This outrage spending could be used to solve the United States economical burdens, and it would be horrible if the world's only remaining superpower uses its awesome might to slather a stricken little country where hunger is a dai ...
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... once again. Keeping this in mind there no question if it was beneficial. Building new homes also helps the wood, paint and tool industry. Skilled workers are needed, and unemployment goes down. This also helped the economy, the people and the lending institutions in the long-run. The FHA was incorporated into the new Deapartment of Housing and Urban Development also known as HUD. The Office continued its role as mortgage guarantor and widened it area of responsibilty to include mortgages lent to the owners of multifamily dwellings and to public housing authorities as well as individual homeowners. Focusing now on another program called the SSA also called the So ...
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... on a secret affair with him against her parent's wishes. They were married less than a month after her eighteenth birthday. He was nineteen. It was Allan Arbus, who introduced Diane to photography. During World War II, he was trained at the Signal Corps photography school at Fort Monmouth, New Jersey. Each night when he returned home, he would teach Diane what he had learned in a makeshift darkroom set up in their bathroom. After the war and sampling other careers, they both worked in the fashion industry as photographers. Their first account was for Diane's father's store. They went on to become a successful photographic team for almost 20 years. They ha ...
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... and instruments. When Americans saw those instruments they began to create different versions of them, which would later evolve to be part of the percussionist's repertoire. For example, the dundun. The dundun is an hourglass-shaped, two-headed drum whose twin heads are laced together by thongs of gut or leather (Hart, 52). By manipulating the tension on these thongs a player can alter the pitch of the tone he is making, thus enabling the dundun to "talk", or produce tones that sound like words (52). This allows him to communicate with neighboring tribes (52). Americans took this idea and converted it into a single-head drum, constructed of brass, in which a ...
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... Immigration was becoming a great source of labor supply. These large manufacturing enterprises, exploiting workers without regards to human cost, were ripe for National Union Organization. Jerry Borenstein states in his work, Unions In Transition, " They were often loosely organized associations, which were quite short-lived and likely to disappear under hostile pressure from employers and government." (15) The unions of the late 19th and early 20th centuries were formed largely to protect basic human dignity in the work place. Unions addressed basic concerns regarding safety issues, length of work day and wage. They were largely unsuccessful due to the publ ...
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... by these barbaric acts. The philosophers and Christians lobbied against such events. To little effect the gladiatorial games continued until the early fifth century A.D. and wild-beast killings went on until the sixth century. Evidence suggests that the contest was part of the Roman funeral process. A Christian critic named Tertullian at the end of the second century wrote, “Once upon a time, men believed that the souls of the dead were propitiated by human blood, and so at the funerals they sacrificed prisoners of war of slaves of poor quality bought for the purpose.” In 246 B.C., two nobles in honor of their deceased father, held the first recorded glad ...
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... in Yugoslavia, perhaps the most relevant issue is the issue of language. It wouldn't really be proper to say that Serbian, Croatian, Slovenian, and Macedonian are the four major languages because some of the languages are so similar they could be considered the same one. For example Serbian and Croatian are so similar that government policy was to promote through the educational system the idea of a single Serbo-Croatian language. However both the Serbians and the Croatians challenged this idea and went through great pains to identify vocabulary that would highlight the differences rather than the similarities. War finally broke out in Yugoslavia on ...
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