dimensional analysis
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Note: This course is being offered by Stanford this summer as an online course for credit. It can be taken individually, or as part of a master’s degree or graduate certificate earned online through the Stanford Center for Professional Development. This course is the natural successor to Programming Methodology and covers such advanced programming topics as recursion, algorithmic analysis, and data abstraction using the C++ programming...more
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Several theories in finance relate to stock price analysis and prediction. The efficient markets hypothesis states that stock prices for publicly-traded companies reflect all available information. Prices adjust to new information instantaneously, so it is impossible to "beat the market." Furthermore, the random walk theory asserts that changes in stock prices arise only from unanticipated new information, and so it is impossible to predic...more
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Latent Semantic Indexing (LSI), Singular Value Decomposition (SVD) Implementation, Independent Component Analysis (ICA), The Application of ICA, Cumulative Distribution Function (CDF), ICA Algorithm, The Applications of ICA
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The Industrial Revolution in France is often said to have been entirely overshadowed by British industrial development. This analysis is inaccurate because it ignores the significance of domestic and other non-factory occupations. Indeed, it was the class of artisan workers, rather than industrial factory workers, who were first responsible for the organization of labor movements. One of the great innovations of the factory was the imposit...more
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This lecture reviews selected topics previously covered in lectures 1 through 5. This includes: scaling arguments, dot products, cross products, one-dimensional kinematics, trajectories, and uniform circular motion. Professor Lewin concludes by presenting a brain teaser to the audience. Sliding his fingers underneath a yardstick, towards the center, something strange happens: the fingers seem to make turns moving, they alternating slidi...more
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This course teaches techniques for the design and analysis of efficient algorithms, emphasizing methods useful in practice. Topics covered include: sorting; search trees, heaps, and hashing; divide-and-conquer; dynamic programming; amortized analysis; graph algorithms; shortest paths; network flow; computational geometry; number-theoretic algorithms; polynomial and matrix calculations; caching; and parallel computing.
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The discussion of Gadamer and Hirsch continues in this lecture, which further examines the relationship between reading and interpretation. Through a comparative analysis of these theorists, Professor Paul Fry explores the difference between meaning and significance, the relationship between understanding and paraphrasing, and the nature of the gap between the reader and the text. Through Wolfgang Iser's essay, "The Reading Process," the n...more
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Parametric equations and polar coordinates. Vectors in 2- and 3-dimensional Euclidean spaces. Partial derivatives. Multiple integrals. Vector calculus. Theorems of Green, Gauss, and Stokes.
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Continuing the examination of molecular orbital theory as a predictor of chemical reactivity, this lecture focuses on the close analogy among seemingly disparate organic chemistry reactions: acid-base, SN2 substitution, and E2 elimination. All these reactions involve breaking existing bonds where LUMOs have antibonding nodes while new bonds are being formed. The three-stage oxidation of ammonia by elemental chlorine is analyzed in the same...more
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This lecture reviews selected concepts previously covered in lectures 16 through 24: one-dimensional collisions, simple harmonic oscillation (SHO) of a suspended rod, conservation laws for a satellite s orbit, the Doppler shift, and pure role.
