Fourier Series
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July 20, 2006 presentation by Mark Zoback and Mary Lou Zoback for the Stanford University Office of Science Outreach's Summer Science Lecture Series. Mark Zoback, Professor of Geophysics and Mary Lou Zoback, Senior Research Scientist with the USGS, talk about the current status of earthquake prediction efforts, including the potential for breakthroughs from exciting new experiments they are carrying out.
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In this lecture, Professor Freeman discusses the Articles of Confederation. Although they seem hopelessly weak in the long view of history, the Articles made perfect sense as a first stab at a national government by a people who deeply distrusted centralized power - a direct product of their recent experience of the British monarchy. Among the many issues that complicated the drafting of the Articles, three central issues included: how...more
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About the Introduction to Computer Science Series at Stanford, The Philosophy, Why take CS106B?, Logistics of the Course, Introducing C++
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October 12, 2007 lecture by Paul Dourish for the Stanford University Human-Computer Interaction Seminar. Mobility is no longer sufficient; location-tracking is a key feature. However, the introduction of location-based technologies has traditionally been accompanied by a series of concerns over privacy. These discussions, though, adopt a fairly reductive model of privacy, concerned primarily with the trade-offs involved in service...more
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Aliasing Demonstration With Music, Transition To Discrete! The DFT, The Plan For Transitioning To Discrete Time, Creating A Discrete Signal From F(T) Creating A Discrete Version Of The Fourier Transform Of The Sampled Version Of F(T), Summary Of What We Just Did, Summary Of Results (Formulas), Moving From Continuous To Discrete Variables, Final Result: The DFT
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Summary Of Previous Lecture (Analyzing General Periodic Phenomena As A Sum Of Simple Periodic Phenomena), Fourier Coefficients; Discussion Of How General The Fourier Series Can Be (Examples Of Discontinuous Signals), Discontinuity And Its Impact On The Generality Of The Fourier Series, Infinite Sums To Represent More General Periodic Signals, Summary Of Convergence Issues, Convergence: Continuous Case, Smooth Case (Fourier Series...more
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Application Of The Fourier Transform: Diffraction: Setup, Representation Of Electric Field, Approach Using Huyghens' Principle, Discussion Of The Phase Change Associated With Different Paths, Use Of The Fraunhofer Approximation, Aperture Function, Result; In General And For Single/ Double Slits
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Approaching The Higher Dimensional Fourier Transform, Notation: Thinking In Terms Of Vectors, Definition Of The Higher Dimensional Fourier Transform, Inverse Fourier Transform, Reciprocal Relationship Between Spatial And Frequency Domain, One Dimensional Case: Reciprocal Relationship, 2-D Case: Visualizing Higher Dimensional Complex Exponentials, Results: Visualizing 2-D Complex Exponentials
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August 3, 2006 presentation by Uwe Bergmann for the Stanford University Office of Science Outreach's Summer Science Lecture Series. Uwe Bergman, Physicist at the Stanford Linear Accelerator takes the viewer on a journey of a 1,000 year old parchment from its origin in the Mediterranean city of Constantinople to a particle accelerator in Menlo Park.
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The lecture focuses on arguments that might be offered as proof for the existence of the soul. The first series of arguments discussed is those known as "inferences to the best explanation." That is, we posit the existence of things we cannot see so as to explain something else that is generally agreed to take place.
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June 22, 2006 presentation by Stephen Palumbi for the Stanford University Office of Science Outreach's Summer Science Lecture Series. Professor of Biological Sciences, Stephen Palumbi, will take us on an interesting journey through time to explain how the Monterey Coast arose from its once polluted and overfished past to be one on the most beautiful and coveted shorelines of the United States. Though not pristine, it is an example of the...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
