dimensional 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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This lecture traces the development of elemental analysis as a technique for the determination of the composition of organic compounds beginning with Lavoisier's early combustion and fermentation experiments, which showed a new, if naïve, attitude toward handling experimental data. Dalton's atomic theory was consistent with the empirical laws of definite, equivalent, and multiple proportions. The basis of our current notation and of precis...more
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Simple analysis of cost per job saved from stimulus.
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Analysis and Application Tests The PE Ratio - Definiton - Descroption - Deternimnats
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Multi-dimensional Arrays, An ArrayList, The Template Class, Methods in the ArrayList Class, An Example Program Using ArrayList, ArrayLists Hold Objects, An Example Program with an ArrayList of Glabels, The GrayImage Example Program
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After showing how a double-minimum potential generates one-dimensional bonding, Professor McBride moves on to multi-dimensional wave functions. Solving Schrödinger's three-dimensional differential equation might have been daunting, but it was not, because the necessary formulas had been worked out more than a century earlier in connection with acoustics. Acoustical "Chladni" figures show how nodal patterns relate to frequencies. The analog...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 class is an introduction to the evolutionary analysis of human emotions, how they work, why they exist, and what they communicate. In particular, this lecture discusses three interesting case studies, that of happiness (e.g., smiling), fear and the emotions we feel towards our relatives. Finally, this lecture ends with a brief discussion of babies' emotional responses to their caregivers.
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We discuss auctions. We first distinguish two extremes: common values and private values. We hold a common value auction in class and discover the winner's curse, the winner tends to overpay. We discuss why this occurs and how to avoid it: you should bid as if you knew that your bid would win; that is, as if you knew your initial estimate of the common value was the highest. This leads you to bid much below your initial estimate. Then we d...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 rememb...more
