Consider the function f: {0, 1, 2, 3, 4} {0, 1, 2,3,4}. f(n) 1 n 0 1 2 3 34 2340 2 3 This function adds 1 to its input and then outputs the result modulo 5. A number modulo m is the remainder after division by m. For example, the minute hand on a clock face counts modulo 60. When we do modular arithmetic, we define 1}. With this notation, the aforementioned function f Zm = {0, 1,2, ..., m has the form f: 25-25.

Consider the function f: {0, 1, 2, 3, 4} {0, 1, 2,3,4}. f(n) 1 n 0 1 2 3 34 2340 2 3 This function adds 1 to its input and then outputs the result modulo 5. A number modulo m is the remainder after division by m. For example, the minute hand on a clock face counts modulo 60. When we do modular arithmetic, we define 1}. With this notation, the aforementioned function f Zm = {0, 1,2, ..., m has the form f: 25-25.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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