Atomic Order
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(Generalized) Linear-Fractional Program, Quadratic Program (QP), Quadratically Constrained Quadratic Program (QCQP), Second-Order Cone Programming, Robust Linear Programming, Geometric Programming, Example (Design Of Cantilever Beam), GP Examples (Minimizing Spectral Radius Of Nonnegative Matrix)
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Introduction to 2nd order, linear, homogeneous differential equations with constant coefficients.
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Let's find the general solution!
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Let's use some initial conditions to solve for the particular solution.
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Another example with initial conditions!
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This lecture completes the first half of the semester by analyzing three functional groups in terms of the interaction of localized atomic or pairwise orbitals. Many key properties of biological polypeptides derive from the mixing of such localized orbitals that we associate with "resonance" of the amide group. The acidity of carboxylic acids and the aggregation of methyl lithium into solvated tetramers can be understood in analogous...more
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In this lecture, Professor Kagan continues to discuss the constitution of Athens. In particular, he explores the judicial workings of Athens. He describes in detail the effort of the Athenians to create a system of justice that would not only minimize tampering, in order to insure justice, but also maximize citizen participation. After this discussion, Professor Kagan comments on the role of women in Athens by looking at two types of...more
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In this introductory lecture, Professor Sylvia Ceyer introduces those throughout history who have contributed to the atomic theory of matter, beginning with Aristotle and Democritus, and ending with the work of Lavoisier, Proust, and Dalton. After disussing scanning tunnelling microscopy, Professor Ceyer moves to the major advances in chemistry at the end of the 19th century. These include Newtonian mechanics, thermodynamices,...more
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Kawasaki shares some of the qualities that he believes entrepreneurs, and everyone else, should have. In order to be a mensch, a person who is widely respected and trusted, one should help those who cannot be helpful in return, do the right thing in the right way, and pay back to society.
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Professor Freeman discusses what it meant to be a British colonist in America in the eighteenth century. She explains how American colonists had deep bonds of tradition and culture with Great Britain. She argues that, as British colonists with a strong sense of their British liberties, settlers in America valued their liberties above all else. She also explains that many Americans had a sense of inferiority when they compared their...more
