time and space complexity analysis
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Despite cautions from their conservative elders, young chemists like Paternó and van't Hoff began interpreting molecular graphs in terms of the arrangement of a molecule's atoms in 3-dimensional space. Benzene was one such case, but still more significant was the prediction, based on puzzling isomerism involving "optical activity," that molecules could be "chiral," that is, right- or left-handed. Louis Pasteur effected the first artificial...more
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Joint Space Dynamics, Newton-Euler Algorithm, Inertia Tensor, Example, Newton-Euler Equations, Lagrange Equations, Equations of Motion
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Simple analysis of cost per job saved from stimulus.
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In this lecture, Leonard Susskind continues his discussion of Einstein's theory of general relativity. He also gives a broad overview of the field of tensor calculus and it's relation to the curvature and geometry of space-time.
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Analysis and Application Tests The PE Ratio - Definiton - Descroption - Deternimnats
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Signal space, projection theorem, and modulation
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Musk talks about the problems with space exploration in the US in the 22nd century. The long term plans are to have something cheaper and safer. In Russia, it is safer and cheaper and they have a better track record. They are constrained however by the weakness of the Russian economy. China is expected to launch their first person into space this month, becoming the third country to put a person into the orbit. They have great ambitions an...more
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A perennial favorite is the idea of time travel. What would happen if we could go back in time and alter the future a la “Back to the Future”? The great narrative of the history of life has a complexity rife with subplots and twists, many of which we will never uncover. Yet somehow the story of life on Earth began with a prebiotic ooze and ended with the awe-inspiring diversity of life we see today – including us. But like any story, th...more
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We consider games that have both simultaneous and sequential components, combining ideas from before and after the midterm. We represent what a player does not know within a game using an information set: a collection of nodes among which the player cannot distinguish. This lets us define games of imperfect information; and also lets us formally define subgames. We then extend our definition of a strategy to imperfect information games, an...more
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Part 1 - Putting a Price Tag on Life: Today, companies and governments often use Jeremy Bentham’s utilitarian logic under the name of “cost-benefit analysis.” Sandel presents some contemporary cases in which cost-benefit analysis was used to put a dollar value on human life. The cases give rise to several objections to the utilitarian logic of seeking “the greatest good for the greatest number.” Should we always give more weight to the hap...more
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This lecture is an introduction to kinematics which ultimately leads (in Lecture 4) to trajectories in three-dimensions. Professor Lewin begins with a description of one-dimensional motion of a particle. He talks about average velocity, the importance of + and - signs, and our free choice of origin. He moves into a conversation about average speed vs. average velocity, instantaneous velocity (reviewing when velocity is zero, posi...more
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This lecture is a continuation of an analogue to Newton's law: τ= lα. While previous problems examined situations in which τ is not zero, this time the focus is on extreme cases in which there is no torque at all. If there is no torque, α is zero and the angular velocity is constant. The lecture starts with a simple example of a seesaw and moves on to discuss a collection of objects that are somehow subject to a variety of forces but r...more
