generalized transforms
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Measure, fourier series, and fourier transforms
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Note: This course is being offered this summer by Stanford as an online course for credit. It can be taken individually, or as part of a master’s degree or graduate certificate earned online through the Stanford Center for Professional Development. The goals for the course are to gain a facility with using the Fourier transform, both specific techniques and general principles, and learning to recognize when, why, and how it is used. To...more
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Spatial Descriptions, Generalized Coordinates, Operational Coordinates, Rotation Matrix, Example - Rotation Matrix, Translations, Example - Homogeneous Transform, Operators, General Operators
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The global AIDS pandemic furnishes a case study for many of the themes addressed throughout the course. While in the developed West the disease largely afflicts concentrated high-risk groups such as intravenous drug users and the sexually promiscuous, in Southern Africa it is much more a generalized disease of poverty. In countries such as Botswana and Swaziland, the economic and social consequences of the disease have created a vicious ci...more
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Acetic Acid to Acetyl Chloride mechanism. Can be generalized to forming any acid halide from a carboxylic acid.
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Using our toolkit to take some inverse Laplace Transforms.
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Understanding how the product of the Transforms of two functions relates to their convolution.
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Discrete-time fourier transforms and sampling theorem
