CS 70 Discrete Mathematics and Probability Theory Fall 2021 1 Berlekamp- Up Let P(i), a polynomial applied to the input i, be the original encoded polynomial before sent, and let ri be the received info for the input i which may or may not be corrupted. (a) When does ri = P(i)? When does ri […]
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EECS 70 Discrete Mathematics and Probability Theory Fall 2021 Error Correcting Codes In this note, we will discuss the problem of transmitting messages across an unreliable communication chan- nel. The channel may cause some parts of the message (“packets”) to be lost, or dropped; or, more seriously, it may cause some packets to be corrupted.
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EECS 70 Discrete Mathematics and Probability Theory Fall 2021 Polynomials Polynomials constitute a rich class of functions which are both easy to describe and widely applicable in topics ranging from Fourier analysis, cryptography and communication, to control and computational geom- etry. You’ve seen them earlier in many contexts like Taylor approximation and other contexts in
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CS 70 Discrete Mathematics and Probability Theory (Optional) HW 7 Due: Saturday 10/16, 4:00 PM Grace period until Saturday 10/16, 5:59 PM Before you start writing your final homework submission, state briefly how you worked on it. Who else did you work with? List names and email addresses. (In case of homework party, you can
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CS 70 Discrete Mathematics and Probability Theory Fall 2021 Due: Friday 9/17, 10:00 PM Grace period until Friday 9/17 11:59 PM Before you start writing your final homework submission, state briefly how you worked on it. Who else did you work with? List names and email addresses. (In case of homework party, you can just
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CS 70 Discrete Mathematics and Probability Theory Fall 2021 1 Polynomial Practice (a) If f and g are non-zero real polynomials, how many roots do the following polynomials have at least? How many can they have at most? (Your answer may depend on the degrees of f and g.) (i) f+g (ii) f·g (iii) f/g,assumingthatf/gisapolynomial
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CS 70 Discrete Mathematics and Probability Theory Fall 2021 1 Short Answers (a) A connected planar simple graph has 5 more edges than it has vertices. How many faces does it have? (b) How many edges need to be removed from a 3-dimensional hypercube to get a tree? 2 Always, Sometimes, or Never In each
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EECS 70 Discrete Mathematics and Probability Theory Fall 2021 This note is partly based on Section 1.4 of “Algorithms,” by S. Dasgupta, C. Papadimitriou and U. Vazirani, McGraw-Hill, 2007. Public Key Cryptography In this note, we discuss a very nice and important application of modular arithmetic: the RSA public-key cryptosystem, named after its inventors ,
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Background material This unit of study assumes some basic knowledge of discrete math- ematics, algorithm analysis, and linear algebra. This is all basic material that you should have learned in other units of study. This note is only meant to serve as a quick review of some key concepts and notation that we will be
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The portfolio for the Discrete Mathematics part The assessment for this part will take the form of a portfolio containing your solutions to attached exercises. Assessment details All exercises in the portfolio will be marked (maximum 100 marks for the portfolio). Copyright By PowCoder代写 加微信 powcoder Information to the submission Please write your solutions coherently
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