Intractable Problems Intractable Problems The Classes P and NP Mohamed M. El Wakil Mohamed M. El Wakil mohamed@elwakil.net 1 Agenda 1. 2. 3. 4. 5. 5 What is a problem? Decidable or not? Decidable or not? The P class The NP Class The NP Complete class The NP‐Complete class 2 What is a problem? What is a problem? • A problem is a question to be answered. – What is the value of X/Y? • A problem usually has parameters. p y p – X‚ and Y • A decision problem is a version of the
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self case write-upharvard business school case studyPOX marketing campaigncreative own ideashttp://www.streettech.com/archives_gadget/pox.htmlHasbro game machincehttp://www.hasbro.com/Hasbro-----------------------------------------------------------1.Basically‚ these two options have two different advertising objectives. The first one targets at POX’s new features while the non-traditional one tries to attract customers from the fantasy and the story behind POX. Therefore‚ I support to have a campaign
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The Virgin of Guadalupe 1. What does the image represent? The image represents the end of suffering and sacrifice‚ the conquering of the Aztecs‚ the combining of Aztec and Spanish cultures along with their different religious aspects‚ the conversion of Mexico‚ Central‚ and South America to Catholicism‚ and is the national symbol for Mexico. 2. Describe the symbols that form the composition. The crown‚ ray of light‚ roses‚ stars on the robe‚ crescent moon‚ angels‚ sash‚ dress‚ roses‚ prayer hands
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responsibility A sample time line with suggested check points for stages of work to be completed Group learning‚ or working in groups‚ involves shared and/or learned values‚ resources‚ and ways of doing things. Effective groups learn to succeed by combining these factors. However‚ each group‚ and each individual‚ will only be as effective as they are willing to embrace and/or respect differences within the
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colleagues‚ Juan Gris created a collage titled‚ The Table. He used colored papers‚ prints‚ newspaper fragments and charcoal on paper mounted in canvas. The Table was designed to raise the question what in the art is “real” and what is “false” by combining elements from the real world with the space of the painting. In 1964‚ the African-American artist Romare Bearden created a collage‚ The Dove. Bearden used different paper fragments‚ gouache‚ and colored pencils to create this collage. His work
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phenyl oxalate called ester‚ and phosphorescent dye. The ester and phosphorescent dye are kept in one part of the glow stick‚ the hydrogen peroxide in the other‚ separated by a piece of glass. No chemical reaction occurs until the glass breaks‚ combining the chemicals together inside the tube. Cooling a glow stick slows the reaction a slightly and causes it to last longer‚ but the light is dimmer. This can be demonstrated by freezing an activated glow stick. When it is reheated‚ it will begin to
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problem: There are many people to blame‚ such as food industries or the government but individuals need to consider themselves in taking personal responsibility of themselves. Hypothesis: The rising prevalence of obesity has become an epidemic combining both of them in sociable interactions. Although obesity is generally often identified to stress and lower social economic status. I consider that obesity‚ and perhaps many other diseases have heightened in the past decades‚ society can have a repercussion
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Candy Corner Philippines’ Summary Candy Corner is the first retail outlet in the Philippines to combine traditional packaged and novelty confectionery with the concept of customers’ choosing and combining their own selection of sweets. The first Candy Corner store in Glorietta 2 was opened in October 1996. The business grew most during the economic turmoil of 1997 and 1998 with growths of over 300% both in volume and sales. Now‚ with over 11 years’ experience in the confectionery retail
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1: As a physician‚ he is excellent‚ combining his knowledge of American Indian herbal medicine and British medicine. He chooses as his spiritual mentor the Reverend Dimmesdale. 2: Chillingworth takes a strong interest in Dimmesdale; the congregation takes this as a good sign and hope that he can heal Dimmesdale. But Dimmesdale says he needs no medicine. Eventually‚ he is persuaded and Chillingworth becomes his personal physician. 4: The townspeople begin to change their opinions of him‚ fearing
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on taking apart anything electronic in the house. I went through a multitude of remote controls‚ pens‚ keyboards‚ and anything else that you could imagine having numerous pieces in it. I was enthralled by the way items were put together. And by combining pieces that seemed to be random metal and plastic‚ somehow you could make
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