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New PDF release: Maple 8 Learning Guide

By Inc. Waterloo Maple

ISBN-10: 1894511263

ISBN-13: 9781894511261

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5 Basic Types of Maple Objects • 25 old _set := {2, 3, 4} > new_set := old_set union {2, 5}; new _set := {2, 3, 4, 5} > third_set := old_set minus {2, 5}; third _set := {3, 4} Arrays Arrays are an extension of the concept of the list data structure. Think of a list as a group of items in which you associate each item with a positive integer, its index, that represents its position in the list. The Maple array data structure is a generalization of this idea. Each element is still associated with an index, but an array is not restricted to one dimension.

F(1); 52 • Chapter 3: Finding Solutions f(1) The reason for this apparently odd behavior is that assign asks Maple to do the assignment > f(x) := 2*x^3 + x; f(x) := 2 x3 + x which is not at all the same as the assignment > f := x -> 2*x^3 + x; f := x → 2 x3 + x The former defines the value of the function f for only the special argument x. The latter defines the function f : x → 2x3 + x so that it works whether you say f (x), f (y), or f (1). To define the solution f as a function of x use unapply.

The tilde (~) indicates that there is an assumption on the variable, namely that 56 • Chapter 3: Finding Solutions it is an integer. In addition, with the fsolve command you can specify the range in which to look for a solution. Thereby you may gain more control over the solution. 14159265358979323846264338328} These types of problems are common to all symbolic computation systems, and are symptoms of the natural limitations of an algorithmic approach to equation solving. When using solve, remember to check your results.

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Maple 8 Learning Guide by Inc. Waterloo Maple

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