An algorithm‚ according to the Random House Unabridged Dictionary‚ is a set of rules for solving a problem in a finite number of steps. One of the fundamental problems of computer science is sorting a set of items. The solutions to these problems are known as sorting algorithms and rather ironically‚ “the process of applying an algorithm to an input to obtain an output is called a computation” [http://mathworld.wolfram.com/Algorithm.html]. The quest to develop the most memory efficient and
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Pseudo code Pseudo code is a detailed yet readable description of what a computer program must do‚ expressed in a formally-styled natural language rather than in a programming language. Pseudo code is sometimes used as a detailed step in the process of developing a program. It allows designers to express the design in great detail and provides programmers a detailed template for the next step of writing code in a specific programming language. I have chosen to create a pseudo code because I found
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of Algorithms Assignment 3 1. Compute the following sums: a. ∑ Answer: =∑ =u–1+1 = (n + 1) – 3 + 1 =n+1–2 =n-2 b. ∑ Answer: =∑ = [1 + 2] + … + n =∑ + (n + 1) – (1 + 2) =∑ + (n + 1) – 3 =∑ +n –2 = n(n + 1) + (n - 2) 2 = n2 + n + (n - 2) 2 = n2 + 3n – 4 2 c. ∑ Answer: ∑ =∑ =∑ = n (n+1) (2n + 1) + n (n+1) 6 2 = (n - 1) (n -1 + 1) (2 ( n –1) +1) + (n - 1) (n – 1 + 1) 6 2 = (n - 1) (n) (2n – 2 + 1) + (n – 1) (n) 6 2 2 = (n - n) (2n – 1) + (n – 1) (n) 6 2 = (n3
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Introduction to Algorithms‚ Second Edition Thomas H. Cormen Charles E. Leiserson Ronald L. Rivest Clifford Stein The MIT Press Cambridge ‚ Massachusetts London‚ England McGraw-Hill Book Company Boston Burr Ridge ‚ IL Dubuque ‚ IA Madison ‚ WI New York San Francisco St. Louis Montréal Toronto This book is one of a series of texts written by faculty of the Electrical Engineering and Computer Science Department at the Massachusetts Institute of Technology. It was edited and produced by The MIT Press
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3.5 RADIX-2 BOOTH ALGORITHM As mentioned earlier‚ A.D Booth proposed a encoding technique for the reduction of partial products for designing a low power and an efficient multiplier. Booth algorithm provides a process for multiplying binary integers in signed –2‘s complement form. For Example‚ DECIMAL BINARY -4 X 2 1100 X 0010 This algorithm is also known as radix-2 booth recording algorithm. The multiplier is recorded as Zi for every ith bit Yi with reference to Yi-1. This is based on the fact
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Week 2 Activity – Meal Purchase TCO #2– Given a simple business problem‚ design a solution algorithm that uses arithmetic expressions and built-in functions. Assignment: Your goal is to solve the following simple programming exercise. You have been contracted by a local restaurant to design an algorithm determining the total meal charges. The algorithm should ask the user for the total food purchase and the tip percent. Then‚ the algorithm will calculate the amount of a tip‚ a 7% sales
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The Design & Analysis o f Algorithms I ND EDITION " I ntroduction t o ~ ~ ~ Anany Levitin Villanova University B oston San Francisco N ew York L ondon T oronto S ydney Tokyo Singapore Madrid M exico City M unich Paris C ape Town H ong K ong M ontreal Publisher Acquisitions E ditor P roject E ditor P roduction Supervisor M arketing Manager P roject Management & Composition Technical A rt C opyeditor C over Design C over Illustration S enior P re press Supervisor
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In the 1890s‚ social divisions in America were at their lowest wages. The Industrial Revolution happened before labor laws. Children as young as eight were working fourteen hour shifts in factories. Wages decreased until unions appeared. There were three different class divisions; the rich class‚ the middle class‚ and the poor class. The rich class basically had what they wanted and they eventually became known as the nouveau riche‚ meaning “newly rich.” The nouveau riche made their money in
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and OPT algorithms (other than looking backward versus forward in time) is that the FIFO algorithm uses the time when a page was brought into memory‚ whereas the OPT algorithm uses the time when a page is to be used. If we use the recent past as an approximation of the near future‚ then we can replace the page that has not been used for the longest period of time (see Fig. 9.14). Figure 9.14: LRU page-replacement algorithm. This approach is the least-recently-used (LRU) algorithm. The result
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ORGANISATION PRIORITY Low FREQUENCY OF USE HOW TO USE Less than once per year Once per year Throw away Store away from the workplace Average At least 2/6 months Once per month Once per week High Once Per Day Store together but offline Locate at the workplace ORDERLINESS • Organise layout of tools and equipment – Designated locations – Use tapes‚ labels and silhouettes • Ensure everything is available as it is needed and at the “point of use” ORDERLINESS Workplace Checkpoints:• Positions
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