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The phi function.
Member rating: No Rating | Words: | Submitted: Mon Dec 22 2003
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Charlene Asare Ashbourne College Mathematics Coursework April 2003 The phi function. ? The phi function. Introduction. Phi is a letter in the Greek alphabet. In higher mathematics: * The upper case form of phi, (?) means an angle function * The lower case form, ? , means angle mathematics and golden ratio mathematics For any positive integer n, the Phi Function f (n) is defined as the number of positive integers less than n, which has no factor (other than 1) in common (are co-prime) with n. In this piece of work I will be investigating several instances involving phi and prime numbers. Patterns between numbers that are prime, co prime involving phi will be found. PART 1. A) Find the values of: 1- ? (3) 2- ? (8) 3- ? (11) 4- ? (24) Solution 1- ? (3) = 2, 1. ? (3) = 2 This is because there are only 2 positive integers less than 3 which have no common factors with 3 other than 1. 2- ? (8) =...
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