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1. Pis a set of string of +'s and *s. f: P→P is a function defined as f(p)=*p* for any string p in P. a) Is f one-to-one? Prove or give a counter example. b) Is f onto? Prove or give a counter example. c) What is f{*+*; ++*+; ***+*: +****+}?

1. Pis a set of string of +'s and *s. f: P→P is a function defined as f(p)=*p* for any string p in P. a) Is f one-to-one? Prove or give a counter example. b) Is f onto? Prove or give a counter example. c) What is f{*+*; ++*+; ***+*: +****+}?

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.2: Norms And Distance Functions
Problem 14EQ
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1. Pis a set of string of +'s and *s. f: P→P is a function defined as f(p)=*p* for any string p in P. a) Is f one-to-one? Prove or give a counter example. b) Is f onto? Prove or give a counter example. c) What is f*+*; ++*+; *****: +****+}?
Transcribed Image Text:1. Pis a set of string of +'s and *s. f: P→P is a function defined as f(p)=*p* for any string p in P. a) Is f one-to-one? Prove or give a counter example. b) Is f onto? Prove or give a counter example. c) What is f*+*; ++*+; *****: +****+}?
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