Some Applications of Coding Theory in Cryptography ii CIP-DATA LIBRARY TECHNISCHE UNIVERSITEIT EINDHOVEN Doumen‚ Jeroen M. Some applications of coding theory in cryptography / by Jeroen M. Doumen. – Eindhoven : Technische Universiteit Eindhoven‚ 2003. Proefschrift. – ISBN 90-386-0702-4 NUR 919 Subject headings : cryptology / coding theory / prime numbers 2000 Mathematics Subject Classification : 94A60‚ 11T71‚ 11A41 Printed by Eindhoven University Press. Cover by JWL Producties. Kindly supported
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1. Every point on the number line can be represented as a unique __________. a. b. c. d. Integer Real number Natural number Fraction √ √ √ √ the answer is 2. When you add a. b. c. d. √ √ √ √ √ √ √ √ 3. The degree of polynomial √ a. b. c. d. √ 2 1 It is not a polynomial is : 4. The remainder when a. 1 b. c. d. is divided by is 5. Two sides of a triangle are of lengths 7 cm and 3.5 cm. The length of the 3rd side cannot be a. 4.1 cm b. 3.4 cm c. 3.8 cm d. 3.6 cm Copyright ©
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Structure of Mathematics Courses for the UG Program Sem Name of the courses to be offered by the Department of mathematics 1 Analysis and Linear Algebra 2 Analysis and Linear Algebra 3 Probability and Statistics 4 Multivariable Calculus and Complex Variable Elementary Algebra and Number Theory Elective Elective 5 Algebra I Linear Algebra Analysis I Topology I 6 Analysis II Complex Analysis ODE Elective 7 Algebraic Topology
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MULTIPLE REGRESSION After completing this chapter‚ you should be able to: understand model building using multiple regression analysis apply multiple regression analysis to business decision-making situations analyze and interpret the computer output for a multiple regression model test the significance of the independent variables in a multiple regression model use variable transformations to model nonlinear relationships recognize potential problems in multiple
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class P Decision problems vs. Optimization problems Class NP Reductions NP-complete class 2 3 4 5 Pham Quang Dung () Algorithm Analysis and Design NP-Completeness Hanoi‚ 2012 2 / 31 Class P: Problems that are solvable by polynomial-time algorithms (O(nk ) where n is the size of the input to the problem and k is some constant) Examples: Sorting Shortest path problems Minimum Spanning Tree problems Maximum Flow problems ... Pham Quang Dung () Algorithm Analysis and Design
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Mangaldan National High School Lesson Exemplar in Intermediate Algebra General Statement Quarter 3 Radical Expressions and Equations Topic Addition and Subtraction of Radical Expressions Time Frame 1 day Stage 1: Results/Outcomes Content Standard: The learner demonstrates understanding of the concepts of addition and subtraction of radical expressions. Performance Standard: The learner can add and subtract radicals. Essential Understanding: Understanding addition and subtraction of radicals
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A NEW APPROACH TO PORTFOLIO MATRIX ANALYSIS FOR STRATEGIC MARKETING PLANNING 1 2 Vladimir Dobrić ‚ Boris Delibašić Faculty of organizational science‚ vdobric@fon.rs 2 Faculty of organizational science‚ delibasic.boris@fon.rs 1 Abstract: Portfolio matrix is probably the most important tool for strategic marketing planning‚ especially in the strategy selection stage. Position of the organization in the portfolio matrix and it’s corresponding marketing strategy depends on the aggregation
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determine whether x-1 is a factor of 2√2 x3 + 5√2x2+7√2 Q 2 Find the value of a‚ if x+a‚is a factor of the polynomials: a) x3+ax2-2x+a+4 b) x4—a2x2+3x-6a Q 3 Factorise a) p2+q2+9r2+2pq+6qr+6pr b) 4a2+b2+4ab+8a+4b+4 Q 4 Find 553+(-25)3+(-30)3 Q 5 Factorise 2y3 – y2 – 13y -6 Q 6 If 3x+y+z = 0 show that 27x3+y3+z3=9xyz Q 7 Simplify (a+b+c)2+(a-b+c)2+(a+b-c)2 Q 8 The polynomial p(x) = 3x2-5x+k and q(x)=2x3-6x2+5k-3 ‚when divided by (x+2) leave remainder r1 and r2 respectively. Find the
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TRIGONOMETRY EXPLORATION by Willy Wibamanto 1. The graphs y= and y= intersect at the origin. 2. The graphs intersect at the origin. 3. As the degree of the polynomial increases‚ the graphs are approaching y=sin (x). 4. As the degree of the polynomial increases‚ the graphs are moving away from y=cos (x). 5a. When y = sin (1)‚ y = 0.841. Using the Taylor series with two terms‚ y = 0.830. When y = sin (5)‚ y = -0.958. Using the Taylor series with two terms‚ y = - 15
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framing? Explain the various methods used for carrying out the framing in detail. What is framing? Explain the various methods used for carrying out the framing in detail. A bit stream 110101011 is transmitted using standard CRC method. The generator polynomial is x4+x+1. Show the actual bit string transmitted. Also explain the error detecting and correcting code with example. Explain the one bit sliding window protocol and go back n protocol. Write down the drawback of both the protocols. List the various
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