Download e-book for iPad: Maple 7 Programming Guide by Monagan M.B., Gedes K.O., Heal K.M.

By Monagan M.B., Gedes K.O., Heal K.M.

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Useful details of types: types which modify Maple’s evaluation rules, structured types, and type matching; 4. data structures: understanding how to make effective use of them in order to best solve a problem; and 5. remember tables. This chapter equips you with the fundamentals of Maple programming, thereby allowing you to understand and write nontrivial Maple code. 1 Evaluation Rules Maple does not evaluate lines of code within procedures in quite the same way as it does if you enter those same lines in an interactive session.

The rules for determining local variables become a little more involved when nested procedures are written, but the basic concepts are similar. 2 for more details. Maple only evaluates local variables to one level. > > > > > > f := proc() local a,b; a := b; b := c; a + 1; end proc; f := proc() local a, b; a := b ; b := c ; a + 1 end proc When you invoke f, Maple evaluates the a in a+1 one level to b. > f(); b+1 Maple always uses last name evaluation for tables, arrays, modules, and procedures. Therefore, if you assign a table, an array, a module, or a procedure to a local variable, Maple does not evaluate that variable unless you use eval.

While the examples are specific to polynomials, the techniques and methods apply to more general formulæ. In mathematics, a polynomial in the single variable, x, is most easily recognizable in the expanded form, n ai xi , where if n > 0, then an = 0. i=0 The ai s are the coefficients . They can be numbers or even expressions involving variables. The crucial point is that each coefficient is independent of (does not contain) x. 34 • Chapter 1: Introduction The Height of a Polynomial The height of a polynomial is the largest magnitude (absolute value) of the largest coefficient.

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Maple 7 Programming Guide by Monagan M.B., Gedes K.O., Heal K.M.


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