Analysis Of Linear Systems
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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...more
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The Industrial Revolution was for a long time treated as a decisive break in which some countries, specifically England, innovated and progressed rapidly while others were left behind. This type of analysis leads many historians to overlook the more gradual process of industrialization in countries like France, and the persistence of older methods of artisanal production alongside new forms of mechanization. To understand the Industrial...more
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Correction To Heat Equation Discussion, Setup For Fourier Transform Derivation From Fourier Series, Results Of The Derivation: Fourier Transform And Inverse Fourier Transform, Definition Of The Fourier Transform (Analysis), Definition Of Fourier Inversion (Synthesis), Major Secret Of The Universe: Every Signal Has A Spectrum, Which Determines The Signal, Fourier Notation, Example: Rect Function, Example: Triangle Function
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This lecture picks off where the previous one left off, with a discussion of the legacies of John Brown. The most important thing about John Brown's raid, Professor Blight argues, was not the event itself, but the way Americans engaged with it after the fact. Next, Professor Blight discusses the election of 1860, a four-way battle won by the Republican candidate, Abraham Lincoln. In the wake of Lincoln's election, the seven states of the...more
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Conscious of the Present; Conscious of the Past: Language (cont.); Vision and Memory
Yale / Psychology
This lecture finishes the discussion of language by briefly reviewing two additional topics: communication systems in non-human primates and other animals, and the relationship between language and thought. The majority of this lecture is then spent on introducing students to major theories and discoveries in the fields of perception, attention and memory. Topics include why we see certain visual illusions, why we don't always see...more
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Musk talks about how there's no one area where costs were reduced in space travel, rather it was every decision across the board. The focus was on simplicity--and simplicity reduces costs. For example, fewer components means fewer components to repair, and to purchase, as well as to test. The avionics vehicles communicate via ethernet--while not novel, it is unheard of, compared to other systems that use cables, he says. In addition,...more
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Systems consisting of pendulums and springs can freely oscillate at their natural frequencies (also called normal modes). When we expose a system to a wide spectrum of frequencies, the response will be very large at the normal mode frequencies (resonances) of that system. Examples include musical instruments (standing waves on violin strings and pressure waves in wind instruments), and torsional standing waves on a bridge driven by strong winds.
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Recap: Subgradients, Subgradients And Sublevel Sets, Quasigradients, Optimality Conditions - Unconstrained, Example: Piecewise Linear Minimization, Optimality Conditions - Constrained, Directional Derivative And Subdifferential, Descent Directions, Subgradients And Distance To Sublevel Sets, Descent Directions And Optimality, Subgradient Method, Step Size Rules, Assumptions, Convergence Results, Aside: Example: Applying Subgradient Method...more
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The most prominent chemist in the generation following Lavoisier was Berzelius in Sweden. Together with Gay-Lussac in Paris and Davy in London, he discovered new elements, and improved atomic weights and combustion analysis for organic compounds. Invention of electrolysis led not only to new elements but also to the theory of dualism, with elements being held together by electrostatic attraction. Wöhler's report on the synthesis of urea...more
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May 16, 2008 lecture by Rob Miller for the Stanford University Human Computer Interaction Seminar (CS547). Rob Miller discusses some of the explorations into keyword programming in the web automation domain, and also in other domains such as Java development. One surprising result is that programming language syntax often has relatively little information content, and can be inferred automatically from only a handful of keywords --...more
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An Application of Supervised Learning - Autonomous Deriving, ALVINN, Linear Regression, Gradient Descent, Batch Gradient Descent, Stochastic Gradient Descent (Incremental Descent), Matrix Derivative Notation for Deriving Normal Equations, Derivation of Normal Equations
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The rise of absolutism in Europe must be understood in the context of insecurity attending the religious wars of the first half of the seventeenth century, and the Thirty Years' War in particular. Faced with the unprecedented brutality and devastation of these conflicts, European nobles and landowners were increasingly willing to surrender their independence to the authority of a single, all-powerful monarch in return for guaranteed...more
