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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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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Companionship Can Change a Life Louis Lowry skillfully captures a time where food shortages were a given‚ fear was ever present‚ riots were synonymous with regular life‚ and death eminent in her historical drama Number the Stars‚ which emphasizes how a devoted friend can change the life of another.Lowry elaborates on the lengths friends go to protect one another by engaging the reader with Annemarie’s thoughts‚pathos expressed through the character emotions‚ symbolism of Ellen’s necklace and growing
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AND MATHEMATICAL PRINCIPLES OF AUTOMATIC NUMBER PLATE RECOGNITION SYSTEMS Introduction It is believed that there are currently more than half a billion cars on the roads worldwide. All those vehicles have their vehicle identification number ("VIN") which states a legal license to participate in the public traffic. No vehicle without properly mounted‚ well visible and well readable license plate should run on the roads. The license number is the most important identification data a
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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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easy way. 5. Databases: collection of associated information 6. Relational databases: access databases in which more than one can share information. 7. Record: each row in a table. 8. Data Value: an item such as data‚ or such as a single phone number. 9. Primary Key Field: a field that contains unique information for each record. 10. Quick Access Toolbar: contains a set of commands that are independent of the Tab currently displayed. 11. Title Bar: shows the name of the program that is opened
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Print Fax TEXAS LIABILITY INSURANCE CARD Policy Number: 44054747 ROCIO L ROMERO 9230 LINDA VISTA RD HOUSTON‚ TX 77078-4022 Year Make 2003 HYUNDAI ***** ************ ***** ************ 09/05/2014 Expiration Date: 02/11/2015 NAIC Number: 24392 Effective Date: Model VIN ACCENT 2D GL ****************** ****************** FARMERS TEXAS COUNTY MUTUAL INSURANCE COMPANY KMHCG35C73U241737 ******************** ******************** 1-800-225-0011 This policy provides at least the minimum amounts
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SL Math Internal Assessment: Stellar Numbers 374603 Mr. T. Persaud Due Date: March 07‚ 2011 Part 1: Below is a series of triangle patterned sets of dots. The numbers of dots in each diagram are examples of triangular numbers. Let the variable ‘n’ represent the term number in the sequence. n=1 n=2 n=3 n=4 n=5 1 3 6
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