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[f(a), f(b), f(c)]2.6 Expression Manipulation • 37> data_list := [0, Pi/2, 3*Pi/2, 2*Pi];data_list := [0, 1 2 π, 3 π, 2 π]2> map(sin, data_list);[0, 1, −1, 0]If you give the map command more than two arguments, Maple passesthe last argument(s) to the initial command.> map( f, [a,b,c], x, y );[f(a, x, y), f(b, x, y), f(c, x, y)]For example, to differentiate each item in a list with respect to x, youcan use the following commands.> fcn_list := [sin(x),ln(x),x^2];fcn_list := [sin(x), ln(x), x 2 ]> map(Diff, fcn_list, x);[ ddx sin(x), ddx ln(x), ddx (x2 )]> map(value, %);[cos(x), 1 x , 2 x]Not only can the procedure be an existing command, but you can alsocreate an operation to map onto a list. For example, suppose that you wantto square each element of a list. Replace each element (represented by x)with its square (x 2 ).> map(x->x^2, [-1,0,1,2,3]);
38 • Chapter 2: Mathematics with Maple: the Basics[1, 0, 1, 4, 9]The lhs and rhs CommandsThese two commands take the left-hand side and right-hand side of anexpression, respectively.> eqn1 := x+y=z+3;eqn1 := y + x = z + 3> lhs(eqn1);y + x> rhs(eqn1);z + 3The numer and denom CommandsThese two commands take the numerator and denominator of a rationalexpression, respectively.> numer(3/4);3> denom(1/(1 + x));x + 1The nops and op CommandsThese two commands are useful for breaking expressions into parts andextracting subexpressions.The nops command returns the number of parts in an expression.> nops(x^2);2
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294 • Indexexact, 8finite rings a
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296 • Indexspherical, 114viewing,
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298 • IndexXML, 283ExportMatrix,
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310 • Indexunordered lists (sets)
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