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Turn o and stow away all cell phones, pagers, radios, mp3 players, and other similar devices. This exam is closed book. You may use one 8:500 1100sheet of handwritten notes (both sides OK). Do not share notes. No photocopied materials are allowed. You can only use a Texas Instruments TI-30X IIS calculator.

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Working a difference quotient involving a square root

sites.math.washington.edu

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THE COMPLEX EXPONENTIAL FUNCTION (These notes assume you are already familiar with the basic properties of complex numbers.) We make the following de nition ... we will rst verify the following form of the Law of Exponents: ei 1+i 2 = ei 1 ei 2 (2) To prove this we rst expand the right-hand side of (1) by rst multiplying out the

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GALOIS THEORY - University of Washington

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GALOIS THEORY We will assume on this handout that is an algebraically closed eld. This means that every irreducible polynomial in [x] is of degree 1. Suppose that F is a sub eld of and that Kis a nite extension of Fcontained in . For example, we can take = C, the eld

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Galois Field in Cryptography - sites.math.washington.edu

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Galois Field in Cryptography Christoforus Juan Benvenuto May 31, 2012 Abstract This paper introduces the basics of Galois Field as well as its im-

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STURM-LIOUVILLE BOUNDARY VALUE PROBLEMS

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Markov Chains - University of Washington

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924 CHAPTER17 Markov Chains ter the coin has been flipped for the tth time and the chosen ball has been painted.The state at any time may be described by the vector [urb], where uis the number of un-painted balls in the urn, is the number of red balls in the urn, and r …

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ZZ dA R [0 2] R - University of Washington

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Math 126C 2nd Midterm Solutions Spring 2014 3 (8points) Computetheequationofthetangentlinetothecurve r =1+2sinθ atthe pointwhereθ =π/6. Giveyouranswerinexactform.

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Precalculus - University of Washington

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Precalculus - University of Washington

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Electrical Circuits - University of Washington

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