systems of equations
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November 30, 2007 lecture by Ted Selker for the Stanford University Human-Computer Interaction Seminar (CS 547). This talk demonstrates that Artificial intelligence can competently improve human interaction with systems and even each other in a myriad of natural scenarios.
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Control - Overview, Joint Space Control, Resolved Motion Rate Control, Natural Systems, Dissipative Systems, Example, Passive System Stability
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Professor Shankar introduces the course and answers student questions about the material and the requirements. He gives an overview of Newtonian mechanics and explains its two components: kinematics and dynamics. He then reviews basic concepts in calculus through two key equations: x0 + v0t + ½ at2 and v2 = v02+ 2 a (x-x0), tracing the fate of a particle in one dimension along the x-axis.
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Andy Friere, Co-founder and CEO of Axialent, describes the one-team culture archetype, one of the five basic cultural archetypes into which organizations fall: 1) Achievement, 2) Innovation, 3) One-team, 4) People-first or 5) Customer-focused. Specifically, Friere suggests that one-team cultures trade off the optimization of individual systems or people for the benefit of the entire organization. Friere describes the behaviors, symbols and...more
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Musk talks about how there's no one area where costs were reduced in space travel, rather it was every decision across the board. The focus was on simplicity--and simplicity reduces costs. For example, fewer components means fewer components to repair, and to purchase, as well as to test. The avionics vehicles communicate via ethernet--while not novel, it is unheard of, compared to other systems that use cables, he says. In addition, overh...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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Topics covered in a first year course in differential equations. Need to understand basic differentiation and integration from Calculus before starting here.
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Introduction to the Dirac Delta Function.
