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Combine(exp(x)^2*exp(y),exp); e(2 x+y) 38 • Chapter 2: Mathematics with Maple: The Basics > combine((x^a)^2, power); x(2 a) The map Command This command is useful when working with lists, sets, or arrays. It provides a means for working with multiple solutions or for applying an operation to each element of an array. The map command applies a command to each element of a data structure or expression. While it is possible to write program structures such as loops to accomplish these tasks, you should not underestimate the convenience and power of the map command.

1 The Maple solve Command • 53 f := x → 2 x3 + x > f(1); 3 The RootOf Command Maple occasionally returns solutions in terms of the RootOf command. The following example demonstrates this point. > solve({x^5 - 2*x + 3 = 0},{x}); {x = RootOf(_Z 5 − 2 _Z + 3, index = 1)}, {x = RootOf(_Z 5 − 2 _Z + 3, index = 2)}, {x = RootOf(_Z 5 − 2 _Z + 3, index = 3)}, {x = RootOf(_Z 5 − 2 _Z + 3, index = 4)}, {x = RootOf(_Z 5 − 2 _Z + 3, index = 5)} RootOf(expr ) is a placeholder for all the roots of expr. This indicates that x is a root of the polynomial z 5 − 2z + 3, while the index parameter numbers and orders the solutions.

The concatenation operator, “||”, or the cat command is used to join two strings together, and the length command is used to determine the number of characters in a string. StringTools help page. 6 Expression Manipulation Many Maple commands concentrate on manipulating expressions. This includes manipulating results of Maple commands into a familiar or useful form. This section introduces the most commonly used commands in this area. The simplify Command You can use this command to apply simplification rules to an expression.

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