Object Oriented Programming
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In this introductory lecture, Professor Lewin discuses basic units, dimensions, measurements and associated uncertainties, dimensional analysis, and scaling arguments. Further, he explains why a measurement is meaningless without knowledge of its uncertainty, using data collected by Galileo Galilei as an example. He begins to dive into dimensional analysis, reasoning that the time from an object to fall from a certain height is...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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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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Project Subgradient For Dual Problem, Subgradient Of Negative Dual Function, Example (Strictly Convex Quadratic Function Over Unit Box), Subgradient Method For Constrained Optimization, Convergence, Example: Inequality Form LP, Stochastic Subgradient Method, Noisy Unbiased Subgradient, Stochastic Subgradient Method, Assumptions, Convergence Results, Convergence Proof, Stochastic Programming
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In this lecture, bound and unbound orbits are discussed. Professor Lewin begins with a description of escape velocity, or the minimum speed required to escape the gravitational pull. Various sources of energy, energy storage, energy conversion, and the world's energy consumption are discussed. Power, or the rate at which a force does work on an object, is central to the conversation. Professor Lewin concludes with a few words on global...more
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Advice for Applying Machine Learning, Debugging Reinforcement Learning (RL) Algorithm, Linear Quadratic Regularization (LQR), Differential Dynamic Programming (DDP), Kalman Filter & Linear Quadratic Gaussian (LQG), Predict/update Steps of Kalman Filter, Linear Quadratic Gaussian (LQG)
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Going back to 1998, Symantec was best known for Norton utilities and Norton anti-virus, says Thompson. When he arrived in 1999, right after windows 1998 was launched. Symantec had had a bad series of quarter. In his first 100 days, he looked at the company product portfolio and found products that were not of strategic value. The brightest star was Norton anti-virus. Symantec had viewed itself as a consumer oriented desktop software...more
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Static equilibrium is covered in this lecture, achieved only when the net external force AND net external torque on an object are both zero. A ladder leaning against the wall is analyzed to determine the minimum angle it can make with the floor without sliding. Professor Lewin continues with the topic by discussing how to locate the center of mass of a rigid body. The center of mass always lines up below the point of suspenson such that...more
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In this economics-oriented lecture, Professor Shapiro introduces neoclassical utilitarianism as it was formulated by economist Vilfredo Pareto and further described by Francis Edgeworth, examining such concepts as indifference curves, transitivity, the Pareto principle, and the Edgeworth box diagram. It is revealed that the main departure of neoclassical utilitarianism from classical utilitarianism was that it did away with Bentham's...more
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After a brief introduction to Plato's Phaedo, more arguments are offered in this lecture in defense of the existence of an immaterial soul. The emphasis here is on the fact that we need to believe in the existence of a soul in order to explain the claim that we possess free will. This is an argument dualists use as an objection to the physicalists: since no merely physical entity could have free will, there must be more to us than just...more
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This lecture discusses the ongoing political experimentation involved in creating new constitutions for the new American states. Having declared independence from Great Britain, Americans had to determine what kind of government best suited their individual states as well as the nation at large; to many, this was the "whole object" of their revolutionary turmoil. Different people had different ideas about what kind of republican...more
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This lecture introduces Newton's Laws of Motion. The First Law on inertia states that every object will remain in a state of rest or uniform motion in a straight line unless acted upon by an external force. The Second Law (F = ma) relates the cause (the force F) to the acceleration. Several different forces are discussed in the context of this law. The lecture ends with the Third Law which states that action and reaction are equal and opposite.
