computing large Fibonacci numbers Daisuke Takahashi Department of Information and Computer Sciences‚ Saitama University‚ 255 Shimo-Okubo‚ Urawa-shi‚ Saitama 338-8570‚ Japan Received 13 March 2000; received in revised form 19 June 2000 Communicated by K. Iwama Abstract We present a fast algorithm for computing large Fibonacci numbers. It is known that the product of Lucas numbers algorithm uses the fewest bit operations to compute the Fibonacci number Fn . We show that the number of bit operations in
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The Differences Between Chinese and English Number 汪洋澎 （11级英语A班 03号） Abstract: Because of the differences in the national psychology‚ religious belief and language habits between east and west‚Expressed by the Numbers in Chinese and English cultural connotation and the extension also exist differences‚ so in the process of the translation should fully consider the popularity and the nationality of itself ‚ and reflected it in the translation faithfully.In the old traditions‚ digital had not only
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Professor Caddell. WWII: The Decision to Drop the Atom Bomb On the morning of July 16th‚ 1945 the first successful detonation of an atomic bomb was recorded at White Sands Missile Range in New Mexico. The explosion from the blast yielded more power than twenty thousand tons of TNT and could be seen at a distance greater than two hundred miles away. (Atomic Bomb-Truman Press Release) Later that month President Truman met with other Allied commanders in Potsdam‚ Germany to negotiate terms that
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The Atomic Bombing of Hiroshima and Nagasaki The first atomic bomb was dropped on Hiroshima‚ on August 6‚ 1945. The world would never be the same. This paper will discuss the significance of the atomic bombs dropped on Hiroshima and Nagasaki and how they led to the success of the Allied forces. It will also discuss how the United States developed the atomic bomb‚ the decision to drop the bomb‚ the weakening of Japan‚ the actual bombing an destruction of both cities‚ the surrender of
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one swift stroke Japan had silenced yet enraged the whole of the United States. To avenge all those American lives lost‚ the United States launched the Manhattan project‚ developing the greatest weapon created at that time‚ the Atomic Bomb. On August 6th‚ 1945‚ The Atomic Bomb was first unlatched from a bomber above the city of Hiroshima‚ reducing the city to rubble. Three days later‚ the next bomb was dropped on Nagasaki‚ marking the quick yet gruesome end of WWII. There has been a big debate and
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people were left dead (Rossenfeld‚ n.d.). The causes of all of this were two atomic bombs dropped by the United States. At first glance‚ it may seem that dropping these two bombs was a terrible and horrific thing to do. However‚ the use of atomic weaponry was actually a necessity in how well our conflict with Japan played out. Without the bombs‚ we would have fought longer‚ and more lives would have been lost. Dropping the atomic bombs on
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Did the USA need to drop bombs on Hiroshima and Nagasaki in 1945? On the 6th of August 1945‚ the US dropped an atomic bomb on the Japanese city of Hiroshima‚1ushering in the nuclear age. The bomb caused the deaths of over 100‚000 people‚2with the bulk of the destruction pertaining to innocent civilians. Three days later‚ the Americans repeated their action at Nagasaki. The aim of the US was not‚ however‚ to cause complete annihilation of the Japanese‚ but to seize the fierce nationalism within
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Japanese cities of Hiroshima and Nagasaki with newly developed‚ top secret atomic bombs. In the many years following this event‚ arguments have transpired as to whether this action was ethical‚ and whether it was really necessary to end World War II quickly. However‚ due to the wartime situation and Japan’s extreme cruelty‚ the United States were predominantly justified in their decision to drop the atomic bombs. Dropping the atomic bombs in Japan was a strategic method to finish the Second World War‚
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succeeding in solving how to make such a weapon. Einstein and Enrico Fermi‚ who escaped Fascist Italy agreed that the President must be informed of the dangers of atomic technology in the hands of the Axis powers. Then Einstein wrote a letter to President Roosevelt with his concerns in 1939. This letter helped initiate the U.S. effort to build an atomic bomb to fight the war. But in July 1940‚ the U.S. Army Intelligence
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000 Americans died compared to the 7 million Russians that were sacrificed. By focusing on the negative aspects of the atomic bomb dropping‚ one may overlook the fact that a president’s first priority is to protect and secure the welfare of his/her people and Truman did just that by dropping the bomb. Chief Executive Harry S. Truman fully knew that his decision to drop the atomic bomb would cause damage beyond imagination‚ but he had no other choice because the Japanese were reluctant and were highly
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