fourier series
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The first part in a series of conversations/discussions with distinguished leaders who will examine the challenges of leadership at a time of financial and geo-political dislocation.
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Approximating a function with a polynomial by making the derivatives equal at f(0) (Maclauren Series).
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A glimpse of the mystery of the Universe as we approximate e^x with an infinite series.
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Approximating cos x with a Maclaurin series.
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Suppose you have a perfect model of contingent mortgage prepayments, like the one built in the previous lecture. You are willing to bet on your prepayment forecasts, but not on which way interest rates will move. Hedging lets you mitigate the extra risk, so that you only have to rely on being right about what you know. The trouble with hedging is that there are so many things that can happen over the 30-year life of a mortgage. Even if int...more
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Winblad explains that very few Series A investments were done in 2002. However, a lot more were done in 2003 and will be done in 2004, she says. The reasons for the decline since 2000 include: restart dollars were competing with the A round dollars; corporate investors disappeared (excpet Intel); and individual investing declined. Additionally, during this era, VCs were doing deals individually, creating twice as many A round deals and ...more
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Figuring out the formula for fixed mortgage payments using the sum of a geometric series.
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Finding the sum of an infinite geometric series.
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Introduction to the arithmetic and geometric series.
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Discrete-time fourier transforms and sampling theorem
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Environment 185A: Sustainable Living is a sub-division of the Education for Sustainable Living Program (ESLP). ESLP is a student designed, student developed, and student facilitated program offered through the Institute of the Environment. The Speaker Series brings guest speakers from UCLA and across the country to speak on specialized subjects including food systems, green business, organic gardens, sustainable living, the green economy, ...more
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August 21, 2008 presentation by Stacey Bent for the Stanford University Office of Science Outreach's Summer Science Lecture Series. Meeting the world's growing energy needs in a sustainable fashion is one of the most pressing problems of our time. Professor Bent introduces the scope of the energy problem and some of the options for sustainable energy, then will focus on two main devices: solar cells and fuel cells. Solar cells convert t...more
