ATILIM UNIVERSITY DEPARTMENT OF MATHEMATICS Math 211 - Discrete Mathematics with Applications 2010-2011 Fall Semester Problem Set I Prepared by Mehmet TURAN O−‚ Ω−‚ Θ− Notations 1. Let f and g be real valued functions defined on the same set of nonnegative real numbers. (a) Prove that if g(x) is O(f (x))‚ then f (x) is Ω(g(x)). (b) Prove that if f (x) is O(g(x)) and c is any nonzero ral number‚ then cf (x) is O(cg(x)). (c) Prove that if f (x) is O(h(x)) and g(x) is O(k(x))‚ then f (x) + g(x) is
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gradually‚ testing out markets before committing major resources and effort to developing an export organization. Direct export: In this channel Carlsberg or an exporter sells directly to an importer or buyer located in the Brazilian market area. In this case Carlsberg is typically involved in handing documentation‚ physical delivery and pricing policies‚ with the product being sold to the agent and distributor. Intermediate entry modes Intermediate entry modes include a variety of arrangement‚ such as
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Ethically‚ offering incentives for charitable acts is a good thing to do. However someone may view it‚ giving to charity is always the right answer. Lost students would not give to charity unless an incentive such as extra credit is given. When a reward is given‚ most people would agree to donating to charity. The exchange of donations for a reward is not always bad. Setting up a reward for donating to charity is not necessarily a bad thing. For instance‚ it might encourage people to donate
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The Flash is a science fiction show with the central theme of never giving up against any obstacles. The Flash‚ Barry‚ overcomes any obstacle with the support of his family and not giving up. Barry Allen‚ protagonist‚ is a loving man with the determination to protect his city‚ Central City‚ and loved ones. He is able to travel faster than the speed of sound. Barry’s family consists of his team members: Cisco Ramon(Long-haired mechanical engineer)‚ Caitlin Snow(Cute‚ loving scientist that cares for
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Allegory in The Giving Tree The Giving Tree by Shel Silverstein is an allegory about unrestricted love. This children’s story begins with a tree and a young boy. The tree provides a place for the boy to play and is happy. However‚ as he grows‚ the boy begins to need more and the tree happily provides everything‚ overtime giving away its leaves‚ apples‚ branches‚ and trunk. In the end‚ all that is left is a stump which provides a seat for the boy who has now grown into an old man. The tree loves
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The Three Gs: Gratitude‚ Giving‚ and Generosity ( Jenni Wright 2008 How do you feel when someone gives you a gift? In particular remember a gift that you have really wanted‚ or a gift that has been handmade. Or how do you feel when you receive a gift from a child that they have lovingly prepared for you? If you say that you “feel warm and fuzzy”‚ that you “feel good inside”‚ that’s a part of your brain that feels enjoyment or joy. Scientists have discovered that “feeling good” in
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Giving Justice to the Title BEAUTY QUEEN An Entry for the Search for Young Eco-minds 2011 to New Zealand by Rolyson B. Simpliciano Being a Bayer Young Environmental Ambassador of the Philippines to Germany 2008 really makes someone more critical and responsive to contemporary issues and concerns. Less seriously but interestingly speaking‚ it makes someone a celebrity on his/her own right. Last February‚ Laoag City‚ the capital of Ilocos Norte‚ celebrated the annual Pamulinawen Festival
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The Role of Culture in Learning After reading The Activity and Art of Reading by Mortimer J. Alder and Charles Van Doren‚ the wheels in my mind were left turning and I had to re-read it. This is not because I did not understand what they had written‚ but because I wanted to understand everything perfectly. They did make a lot of valid points; one of them being‚ “There is the book; and here is your mind. As you go through the pages‚ either you understand perfectly everything that author has to say
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John’s core psychodynamic problem is depression. The central conflict involves his sense of loss and abandonment‚ with the desire to obtain healthy and meaningful relationships‚ but his tendency to feel uncomfortable and isolate when around other people. John shared his memory and knowledge of his father’s death and described it with an indifferent affect. Therefore‚ it appeared evident that he may have suppressed anger‚ sense of loss‚ and/or feelings of abandonment. Moreover‚ John described
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Explain giving examples how the reliance on journalists working in commercial media constraints the ability of media advocates Explain how an elitist theory of democracy and focus on mainstream journalism constraints the ability of media advocates How would media advocacy look like if informed by a participatory theory of democracy? Explain giving examples Why is democracy a dangerous form of government? Explain. Democracy includes a genuine competition for power. Explain Democracy permits mass participation
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