Time And Space Complexity Analysis
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While the major philosophical projects of the Enlightenment are associated with the names of individual thinkers such as Montesquieu, Rousseau, and Voltaire, the cultural transformation in France in the years leading up to the Revolution should also be understood in the context of the public sphere and popular press. Alongside such luminaries as those associated with Diderot's Encyclopedie were a host of lesser pamphleteers and libellists...more
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In the first part of the lecture we wrap up the previous discussion of implied default probabilities, showing how to calculate them quickly by using the same duality trick we used to compute forward interest rates, and showing how to interpret them as spreads in the forward rates. The main part of the lecture focuses on the powerful tool of backward induction, once used in the early 1900s by the mathematician Zermelo to prove the...more
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Dominic Orr, CEO of Aruba Networks, responds to a question about whether startups have a chance of cracking markets owned by big competitors. Orr suggests that startups often can find niches in big markets because they have greater speed to execution. However, Orr argues that success in a big market may be more than simply creating a niche but rather success is creating a large, sustainable business. Orr argues that the challenge of...more
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In this lecture, Professor Kagan describes the aftermath of the Thirty Years Peace. He argues that the Peace had the potential to keep peace between Athens and Sparta due to the arbitration clause. In addition, he argues that during this time, Athens sends various diplomatic messages to the wider Greek world stating their intentions for peace, such as the Panhellenic venture to establish Thurii. However, this peace is seriously challenged...more
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We first consider the alternative "Bertrand" model of imperfect competition between two firms in which the firms set prices rather than setting quantities. Then we consider a richer model in which firms still set prices but in which the goods they produce are not identical. We model the firms as stores that are on either end of a long road or line. Customers live along this line. Then we return to models of strategic politics in which it...more
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Model Predictive Control, Linear Time-Invariant Convex Optimal Control, Greedy Control, 'Solution' Via Dynamic Programming, Linear Quadratic Regulator, Finite Horizon Approximation, Cost Versus Horizon, Trajectories, Model Predictive Control (MPC), MPC Performance Versus Horizon, MPC Trajectories, Variations On MPC, Explicit MPC, MPC Problem Structure, Fast MPC, Supply Chain Management, Constraints And Objective, MPC And Optimal...more
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In this lecture, Professor Diamond moves in depth into the digestive system, discussing the tongue, salivary glands, layers of the digestive track, esophagus, stomach, and small intestine. She discusses the components of the tongue, including the taste buds, and describes the tongue's function in mixing food with saliva and amylase enzymes, swallowing, and talking. Professor Diamond goes on to describe how saliva is generated and...more
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Professor Geanakoplos explains how, as a mathematical economist, he became interested in the practical world of mortgage securities, and how he became the Head of Fixed Income Securities at Kidder Peabody, and then one of six founding partners of Ellington Capital Management. During that time Kidder Peabody became the biggest issuer of collateralized mortgage obligations, and Ellington became the biggest mortgage hedge fund. He describes...more
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David Kelley, founder and CEO of IDEO Product Development, grew up in Ohio, where he survived on a diet of Velveeta cheese and white bread, He attended Carnegie Mellon and studied electrical engineering, but spent more time working on carnival floats. After graduation, he worked for Boeing on the 747. He learned early that in a large company, he didn't get to choose the people he worked with. He came to the Graduate Product Design Program...more
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The exchanges in which stocks and other securities are traded serve an important function in finance. They bring together people interested in buying and selling securities in order to create a universal price. Brokers and dealers are also an important part of the system, their methods and standards are ultimately behind the success of the exchanges. Many information innovations have advanced the functioning of exchanges, going all the...more
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Jason Green, David Frankel and Michael Cline, the Founding Partners at Emergence Capital, Altirah Capital and Accretive Technology Partners respectively, discuss the qualities of VCs and investors who add value to the business. First, Green suggests that investors should be a sounding board. Second, Frankel argues that investors should bring experience that helps the startup avoid time consuming pitfalls. Third, Cline argues that valuable...more
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Danger's first customer was Voice Stream, which later was acquired by T-Mobile International. Voice Stream was a small company looking for something innovative to differentiate themselves from the competition. They found that innovation in Hiptop. Danger initially treated them as a partner rather than a customer. The two companies provided valuable services to each other and the deal solidified Danger's business plan. Since Hiptop was...more
