variation of parameters
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Professor Sylvia Ceyer continues her discussion on chemical equilibrium and external effects such as a change in volume, adding inert gas, and a change in temperature. Parameters are set for maximizing the yield of a reaction, and the Principle of Le Chatelier's is returned to. Hemoglobin is used as an example involved in a series of equilibrium reactions in response to oxygen pressure.
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Understanding conformational relationships makes it easy to draw idealized chair structures for cyclohexane and to visualize axial-equatorial interconversion. After quantitative consideration of the conformational energies of ethane, propane, and butane, cyclohexane is used to illustrate the utility of molecular mechanics as an alternative to quantum mechanics for estimating such energies. To give useful accuracy this empirical scheme requ...more
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Differential Equations are the language in which the laws of nature are expressed. Understanding properties of solutions of differential equations is fundamental to much of contemporary science and engineering. Ordinary differential equations (ODEs) deal with functions of one variable, which can often be thought of as time. Topics include: Solution of first-order ODE's by analytical, graphical and numerical methods; Linear ODE's, especial...more
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U03_L2_T3_we1 : Direct Variation 1.
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Structure of the Atom: A Conundrum. The work of E. Rutherford, 1911, lead to the discovery of the nucleus. In this lecture, Professor Sylvia Ceyer begins by explaining the backscattering experiment that lead to this key discovery in the early 20th century. She then moves on to a classical description of the atom, including coulombic interaction and the classical equation of motion (Newton's Second Law). The lecture ends with discussion ...more
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Doppler Effect, Binary Stars, Neutron Stars and Black Holes. Doppler shift is introduced with sound waves, then extended to electromagnetic waves (radiation). The Doppler shift of stellar spectral lines and/or pulsar frequencies provides a measure of the line-of-sight (so-called radial) velocity of the source relative to the observer. Combined with Newton's law of universal gravitation, this can lead to the orbital parameters and the mass ...more
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August 9, 2007 presentation by Russ Altman for the Stanford University Office of Science Outreach's Summer Science Lecture Series. There are a number of causes for variation in drug response across the population, but differences in genetics are an important factor. Russ Altman, Professor & Chair of Bioengineering and Professor of Genetics and Medicine, discusses how variations in genetics can alter the "typical" response as well as touch...more
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Kepler's Laws, Elliptical Orbits, Change of Orbits, and the famous passing of a Ham Sandwich by astronauts in orbit. Kepler's three Laws summarize the motion of the planets in our solar system. Following Newton's law of universal gravitation, the conservation of angular momentum and mechanical energy allow us to calculate the semimajor axis of the elliptical orbits, the orbital period and other orbital parameters. All we have to know is on...more
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Hemingway, Fitzgerald, Faulkner (AMST 246)Professor Wai Chee Dimock continues her discussion of The Sound and the Fury by juxtaposing Quentin's stream-of-consciousness to his brother Benjy's narrative subjectivity. Professor Dimock argues that Faulkner uses stylistic parallels between the two sections to communicate "kinship" and "variation" between the two narrators. In her readings, she focuses on their relationship with the black charac...more
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Hemingway, Fitzgerald, Faulkner (AMST 246)Warning: This lecture contains graphic content and/or adult language that some viewers may find disturbingProfessor Wai Chee Dimock discusses Jason's section of The Sound and the Fury with reference to Raymond Williams's notion of the "knowable community." Jasons's narrative is characterized by the loss of that knowable community, by his pointed rage against his family and servants, as well as his ...more
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Homogeneous Transform Interpretations, Compound Transformations, Spatial Descriptions, Rotation Representations, Euler Angles, Fixed Angles, Example - Singularities, Euler Parameters, Example - Rotations
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How variation can be introduced into a species.
