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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Charlene Glojel P. Yroy (44) February 19‚ 2015 BSAT-4F Chapter 4 10. Give three examples of access control in a POS system. Organization must restrict access to cash assets. Assign each sales clerk to a separate cash register for an entire shift. Inventory must also be protected from unauthorized access and theft. Chapter 5 4. Why do the inventory control and general ledger departments seem to disappear in computer-based purchasing systems (Figure 5-14)? Are these functions no longer important
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Level D Unit 1 Completing the Sentence 1. opinionated 2. admonish 3. spurious 4. diffused 5. circumspect 6. breach 7. debris 8. salvage 9. deadlock 10. brigand 11. muddle 12. commandeered 13. spasmodic 14. efface 15. predispose 16. MISSING 17. unbridled 18. relinquished 19. perennials 20. dilemma Synonyms & Antonyms 1. commandeer 2. diffuse 3. predispose 4. effaced 5. unbridled 6. cumbersome 7. brigands 8. deadlock 9. salvage 10. spasmodic 11. dilemma 12. MISSING 13. muddle 14. breach 15. debris
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Complex Numbers and Applications ME50 ADVANCED ENGINEERING MATHEMATICS 1 Complex Numbers √ A complex number is an ordered pair (x‚ y) of real numbers x and y. For example‚ (−2.1‚ 3.5)‚ (π‚ 2)‚ (0‚ 0) are complex numbers. Let z = (x‚ y) be a complex number. The real part of z‚ denoted by Re z‚ is the real number x. The imaginary part of z‚ denoted by Im z‚ is the real number y. Re z = x Im z = y Two complex numbers z1 = (a1‚ b1) and z2 = (a2‚ b2) are equal‚ written z1 = z2 or (a1‚ b1) = (a2‚ b2)
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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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A 1. You are considering the following two mutually exclusive projects. The crossover point is _____ percent. [pic] A. 11.89 B. 13.75 C. 9.25 D. 12.08 E. 7.76 BLOOMS TAXONOMY QUESTION TYPE: APPLICATION LEARNING OBJECTIVE NUMBER: 4 LEVEL OF DIFFICULTY: INTERMEDIATE Ross - Chapter 008 #89 SECTION: 8.4 TOPIC: NPV PROFILE TYPE: PROBLEMS 2. M&A‚ Inc. maintains a constant debt-equity ratio of .4. The firm had net income for the year of $140‚000 and paid $98‚000 in dividends
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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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Solving the quadratic equations using the FOIL method makes the equations easier for me to understand. The Foil method‚ multiplying the First‚ Outer‚ Inner and Last numbers‚ breaks down the equation a little further so you understand where some of your numbers are coming from‚ plus it helps me to check my work. Equation (a.) x^2 – 2x – 13 = 0 X^2 – 2x = 13 (step a) 4x^2 – 8x = 52 (step b‚ multiply by 4) 4x^2 – 8x + 4 = 52 + 4 (step c‚ add to both sides the square of original coefficient)
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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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Distribution Number of the Kronecker Product and Vertex Gluing of Graphs jvb A RESEARCH PROPOSAL Presented to The Research Director of Siquijor State College Siquijor‚ Siquijor‚ Philippines jvb Proponents Dr. Ruben A. Sanchez 1 Dr. Baldomero R. Martinez 2 Dr. Michael P. Baldado Jr. 3 October 2012 1 Siquijor State College‚ Philippines Siquijor State College‚ Philippines 3 Research Consultant‚ Negros Oriental State University‚ Philippines 2 TABLE OF CONTENTS TITLE
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