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 Federalist essay number ten‚ was one of many essays written by James Madison. Madison wrote these essays in order to try and lessen factions in popular governments. “By some common impulse of passion‚ or of interest‚ adverse to the rights of other citizens‚ or to the permanent and aggregate interests of the community(Madison).” He claims that with a popular government‚ factions will be reduced but can never be fully abolished. A constitution can help build a republic‚ where most get a say in
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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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Image 2 Description Jacob Lawrence’s Harriet Tubman series number four is a joyful painting. This painting shows four dark figures jubilantly frolicking and playing. Jacob Lawrence’s painting is obviously about four black people enjoying a sunny day on the African plains. The aesthetic value is educational and historical. If you were to see this picture in the 1940s it would be a reminder of a free and happier time. This picture also teaches you black people can get back to being carefree with
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aren’t yet‚ you might want to reconsider it‚ especially after you read all of the little known facts we’re sharing with you today. Number Fifteen: Supernatural Has Filming Mistakes In the episode titled "Heart"‚ Sam‚ who is one of the protagonists‚ dies (funnily enough‚ this occurs more than once in the show). When his body is on the table‚ however‚ it blinks! Number Fourteen: Dean Has Strange Sexual Preferences. When Dean has sex on the show‚ he has interesting musical preferences. To be specific
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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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18 THE McKINSEY QUARTERLY 2000 NUMBER 4 appeals to no one‚ least of all their core segment. They are better off cultivating core-segment customers who repeatedly purchase items of greater than average value. In time‚ new technologies will permit marketers to display the content and products that most appeal to particular user segments. Ultimately‚ segments based on demographics will give way to offerings informed by the tastes and needs of individuals. —John E. Forsyth‚ Johanne Lavoie
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major indicators of Viet Nam tourism in 2012 Number of Foreign Visitor Arrivals Number of Domestic Visitors Tourism Receipt (US$ Millions) in 2012 Hotels Number of Star and Non-Star Hotels Number of Star and Non-Star Rooms Number of 3-5 Star Hotels Number of Rooms in 3-5 Star Hotels Average Occupancy Rate in Non-Star and Star Hotels (%) Foreign Arrivals by Mode of Transport - Most of foreign visitors arrived Viet Nam by air (82%); - A significant number of foreign visitor arrived by land (14%); -
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Erin Petrucelli Mrs. Lohmeyer 5/14/13 Education problems with easy fixes Did you know that the number one reason many school age children are stressed is parental pressure on grades. Yes we can say that the parents need to learn not to care so much about grades but‚ really is that ever going to happen. With colleges looking more and more on academic grades it becomes increasingly important that we keep those grades looking sharp. Though that may sound easy to many parents who forget what school
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* * * * MOBILE NUMBER PORTABILITY * * * Final Project Report * INDEX Section | Sub-Section | Topic | Page | 1 | | Background | 3 | 2 | | Decision and research problem | 5 | 3 | | Areas of Information | 5 | 4 | | Research Methodology | 6 | 5 | | Findings | 8 | | 1 | Observation and content analysis | 8 | | 2 | Primary Research (Pilot Study) | 14 | 6 | | Recommendations | 25 | 7 | | References | 27 | 8 | | Appendix A- Questionnaire
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