exponential signals
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We look at two settings with asymmetric information; one side of a game knows something that the other side does not. We should always interpret attempts to communicate or signal such information taking into account the incentives of the person doing the signaling. In the first setting, information is verifiable. Here, the failure explicitly to reveal information can be informative, and hence verifiable information tends to come out even w...more
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Complexity; log, linear, quadratic, exponential algorithms
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Prior to Malthus, population growth was seen as good for the power and wealth of a country. The rapid population growth of America was crucial in expelling England (via the Revolution) and France (via the Louisiana Purchase) from the US. But in fact, the numbers of the poor were growing in Europe in the 1700s. Malthus argued that poverty was due to an imbalance between people and resources; since population could rise very fast, it could a...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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Showing that N(t)=Ne^(-kt) describes the amount of a radioactive substance we have at time T. For students with background in Calculus. Not necessary for intro chemistry class.
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Exponential distribution, memoryless property.
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Continuous random variables, exponential distribution.
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Exponential growth involving bacteria (some calculus in part c).
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Guest Lecturer, Setup of the Ice Cream Store Problem, with Customer, Cashier, Clerk, and Manager Threads, The Different Constraints on the Various Types of Threads, Writing the Main Function, Spawning the Various Threads, Handling the Manager-Clerk Interaction Using the Inspection Struct, Which Uses a Semaphore to Signal to the Manager That the Clerk Is Ready for Inspection, As Well as a Semaphore that Ensures that the Clerk Will Wait for ...more
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Introduction to Exponential Decay.
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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 exponential, ...more
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A few more examples of exponential decay.
