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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How have illusions helped you in your everyday life? Inthe play The Tempest by William Shakespeare there are many actsthat concern illusion. Not only does illusion help propel‚ and ever in some cases make possible litterature‚ but it also helpsusin our everyday lives. Illusion helps us in many areas of our lives. In our childhood‚ illusion is necessary for many things‚ whether it be to help us enjoy Christmas or simplytoexpandand nurture our creativity. During childhood teach many things
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1. Explain how you were you able to use space effectively during our 6-a-side games. We used space effectively by allocating positions for players and that they had a certain area to work with‚ making room for other players to do the same. Spacing is a key element in soccer‚ without spacing it would just be like jungle ball. Spacing also makes options for others to score or to setup plays 2. In which of the three positions (centre‚ wing‚ defender) do you think you performed most effectively? Justify
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of the number of establishments in the florists industry Industry Description Operators in the United States florists industry retail cut flowers‚ floral arrangements and potted plants. They purchase these products from domestic and international firms and sell them mostly to the local population. Currently‚ the traditional forists suffer from severe competition form online stores and supermarkets. This results in a decreasing number of florists
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An Analysis of Looking Out for Number One: Conflicting Cultural Values in Early Seventeenth-Century Virginia by: T.H. Breen I believe what Breen is trying to say in his essay is that the Englishmen that came to Virginia were very different from the settlers of other colonies and they had a much different society develop than what was typical in the other colonies. They were a highly individualistic society. Breen believes that the personalities of those who came to Virginia were‚ in part
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My number one strength is that I am passionately determined. I taught myself how to execute most of the skills I know now through watching YouTube videos tutorials and incorporating any critiques my drill team coach would tell me. I practiced everyday when I got home‚ and I still do. My top spot for a weakness is that I need to be more confident with myself‚ for instance‚ I need to improve with projecting my voice while teaching or giving out critiques. Speaking is one of the main things an officer
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What methods of Index Number calculation is used to calculate Cost of Living Index (CLI). Cost of Living Index is a type of index study which is used to examine expenses that people incur to maintain a regular life standard including food‚ clothing‚ housing and social activities. The Cost of Living Index is‚ with the help of two different price data sets‚ a comparison of the necessary minimum expenses that are needed in order to maintain the same financial status and life standard level. Methods
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Increasing number of unmarried couples living together Change is a universal fact. They say‚ the only thing that remains constant in life‚ is change. And travelling through the centuries‚ the faith on the universality of marriage has shaken up. I would rather say the definition of love among the ‘present’ generation has also taken a different turn. With growing influence coming in from everywhere-television‚ internet or just by sheer interaction‚ the trends of relationships are changing. There
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. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . How Can You Dispose of Excess‚ Unusable Acrylamide? . . What Is the Shelf Life of Acrylamide and Acrylamide
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Real Life Application for Congruent Integers and modulus. The modulus m = 12 is often used and applied in everyday life‚ for example‚ the most used and common of all ---"clock arithmetic" analogy‚ in which the day is divided into two 12-hour periods. Take for example‚ if it is 5:00 now‚ what time will it be in 25 hours? Since 25 ≡ 1 mod 12‚ we simply add 1 to 5: 5 + 25 ≡ 5 + 1 ≡ 6 mod 12. Usual addition would suggest that the later time should be 5+25=30‚ however‚ this is not the answer because
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