Learning Guide Learning Guide

2.5 Basic Types of Maple Objects • 23The properties of sets make them a particularly useful concept inMaple, just as they are in mathematics. Maple provides many operationson sets, including the basic operations of intersection and union usingthe notation intersect and union.> {a,b,c} union {c,d,e};{a, b, c, d, e}> {1,2,3,a,b,c} intersect {0,1,y,a};{1, a}The nops command counts the number of elements in a set or list.> nops(%);2For more details on the nops command, see section 2.6.A common and very useful command, often used on sets, is map. Mappingapplies a function simultaneously to all the elements of any structure.> numbers := {0, Pi/3, Pi/2, Pi};numbers := {0, π, 1 3 π, 1 2 π}> map(g, numbers);{g(0), g(π), g( 1 3 π), g(1 2 π)}> map(sin, numbers);{0, 1, 1 2√3}Further examples demonstrating the use of map appear in sections 2.6and 5.3.