Analysis Of Linear Systems
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Although molecular mechanics is imperfect, it is useful for discussing molecular structure and energy in terms of standard covalent bonds. Analysis of the Cambridge Structural Database shows that predicting bond distances to within 1% required detailed categorization of bond types. Early attempts to predict heats of combustion in terms of composition proved adequate for physiology, but not for chemistry. Group- or bond-additivity schemes...more
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May 30, 2008 lecture by Hiroshi Ishii for the Stanford University Human Computer Interaction Seminar (CS547). Tangible Bits seeks to realize seamless interfaces between humans, digital information, and the physical environment by giving physical form to digital information, making bits directly manipulable and perceptible. Their goal is to invent new design media for artistic expression as well as for scientific analysis, taking...more
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Recap: Conjugate Gradient Method, Recap: Krylov Subspace, Spectral Analysis Of Krylov Sequence, A Bound On Convergence Rate, Convergence, Residual Convergence, CG Algorithm, Efficient Matrix-Vector Multiply, Shifting, Preconditioned Conjugate Gradient Algorithm, Choice Of Preconditioner, CG Summary, Truncated Newton Method, Approximate Or Inexact Newton Methods, CG Initialization, Hessian And Gradient, Methods, Convergence Versus...more
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Professor Blight narrates the momentous events of 1857, 1858, and 1859. The lecture opens with an analysis of the famous Lincoln-Douglas debates of 1858. Next, Blight analyzes the Dred Scott decision and discusses what it meant for northerners--particularly African Americans--to live in "the land of the Dred Scott decision." The lecture then shifts to John Brown. Professor Blight begins by discussing the way that John Brown has been...more
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Professor Kleiner traces the evolution of Roman architecture from its beginnings in the eight-century B.C. Iron Age through the late Republican period. The lecture features traditional Roman temple architecture as a synthesis of Etruscan and Greek temple types, early defensive wall building in Rome and environs, and a range of technologies and building practices that made this architecture possible. City planning in such early Roman...more
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Professor Kagan discusses in detail the argument of free will as proof for the existence of an immaterial soul. The argument consists of three premises: 1) We have free will. 2) Nothing subject to determinism has free will. 3) All purely physical systems are subject to determinism. The conclusion drawn from this is that humans are not a purely physical system; but Professor Kagan explains why this argument is not truly compelling. In...more
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After discussing the statistical basis of the law of mass action, the lecture turns to developing a framework for understanding reaction rates. A potential energy surface that associates energy with polyatomic geometry can be realized physically for a linear, triatomic system, but it is more practical to use collective energies for starting material, transition state, and product, together with Eyring theory, to predict rates....more
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In this lecture we move from present values to dynamic present values. If interest rates evolve along the forward curve, then the present value of the remaining cash flows of any instrument will evolve in a predictable trajectory. The fastest way to compute these is by backward induction. Dynamic present values help us understand the returns of various trading strategies, and how marking-to-market can prevent some subtle abuses of the...more
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Stochastic Model Predictive Control, Causal State-Feedback Control, Stochastic Finite Horizon Control, 'Solution' Via Dynamic Programming, Independent Process Noise, Linear Quadratic Stochastic Control, Certainty Equivalent Model Predictive Control, Stochastic MPC: Sample Trajectory, Cost Histogram, Simple Lower Bound For Quadratic Stochastic Control, Branch And Bound Methods, Methods For Nonconvex Optimization Problems, Branch And Bound...more
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Andy Friere, Co-founder and CEO of Axialent, describes the one-team culture archetype, one of the five basic cultural archetypes into which organizations fall: 1) Achievement, 2) Innovation, 3) One-team, 4) People-first or 5) Customer-focused. Specifically, Friere suggests that one-team cultures trade off the optimization of individual systems or people for the benefit of the entire organization. Friere describes the behaviors, symbols...more
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Continued Discussion Of Fourier Series And The Heat Equation, Transition From Fourier Series To Fourier Transforms (Periodic To Nonperiodic Phenomena), Fourier Series Analysis And Synthesis; Relation To Fourier Transform And Inverse Fourier Transform, Fourier Series/ Coefficients With Period T, Spectrum Picture For Fourier Series With Period T, Effects Of A Change In T, The Complications Of Finding The Fourier Transform By Letting T Go To...more
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In 1989, following the year when Dell, Inc. went public, Dell explains how the company had a large problem with inventory management. As a result, the company failed to transition properly in the industry from one technology to the other. However, because of this critical mistake, the company learned how to correctly manage their inventory, and according to Dell, became the best in the world at it. Later on, Dell also notes the company...more
