Multidimensional Fourier Transform
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These lectures are from a Radio Frequency Identification (RFID) Academic Conference which was held at MIT in January 2006. The conference was in connection to the MIT course Special Topics in Supply Chain Management. This course is centered on how RFID systems will transform the business landscape, with a particular emphasis on the supply chain. The course will take an interdisciplinary approach to analyzing the various aspects of a
Introduction to applied linear algebra and linear dynamical systems, with applications to circuits, signal processing, communications, and control systems. Topics include: Least-squares aproximations of over-determined equations and least-norm solutions of underdetermined equations. Symmetric matrices, matrix norm and singular value decomposition. Eigenvalues, left and right eigenvectors, and dynamical interpretation. Matrix...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,...more
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This course provides a review of linear algebra, including applications to networks, structures, and estimation, Lagrange multipliers. Also covered are: differential equations of equilibrium; Laplace's equation and potential flow; boundary-value problems; minimum principles and calculus of variations; Fourier series; discrete Fourier transform; convolution; and applications.
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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....more
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Professor Kleiner discusses the revolution in Roman architecture resulting from the widespread adoption of concrete in the late second and first centuries B.C. She contrasts what she calls innovative Roman architecture with the more traditional buildings already surveyed and documents a shift from the use of concrete for practical purposes to an exploration of its expressive possibilities. The lecture concludes with a discussion of the...more
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DC Or Static Gain Matrix, Discretization With Piecewise Constant Inputs, Causality, Idea Of State, Change Of Coordinates, Z-Transform, Symmetric Matrices, Quadratic Forms, Matrix Nom, And SVD, Eigenvalues Of Symmetric Matrices, Interpretations Of Eigenvalues Of Symmetric Matrices, Example: RC Circuit
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Davis discusses how Unitus helps transform small non-profit companies into large profitable companies. Unitus makes the companies think bigger and expand their vision. They try to paint the picture of a possibility of a bigger future, he notes.
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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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Ramdas reveals that she was attracted to the work of the Global Fund because women were doing things to both change their own circumstances, and also to transform what existed in their own communities. She was amazed that there was an organization that was willing to put the resources directly into the hands of women.
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Continuing Convolution: Review Of The Formula, Situiation In Which It Arose, Example Of Convolution: Filtering, The Ideas Behind Filtering, Terminology, Interpreting Convolution In The Time Domain, General Properties Of Convolution In The Time Domain, Derivative Theorem For Fourier Transforms, Heat Equation On An Infinite Rod
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Sutton talks about several important factors that turn people into jerks. He describes how being around many aggressive people will transform a person into a jerk. He also explains how pressure is a key contributor in building jerk behavior.
