Problem 57E

Prove that the set of positive rational numbers is countable by showing that the function K is a one-to-one correspondence between the set of positive rational numbers and the set of positive integers if where gcd(m, n) = 1and the prime-power factorizations of m and n are m=

Designers Costume Designers Lighting, Tuning and Sound Designers also Sometimes same person will do two or more of those tasks Artists in professional world Costume Design: Clothing Gives us lots of information: time period, region, tradition, status, occupation, personality Professionals know what clothing to wear for different time periods and social status Designer Collaborative artist Strong art creative background Most studied theatre in college then furthered studies Help establish style of production Indicates period Considers line, color, fabric Helping tell story on stage Consider what character does; jumping around, flexible Scenic designer and Set designer