Learning Guide Learning Guide

5.5 Conclusion • 203a0 + a1 x + a2 x 2 + a3 x 3 + a4 x 4 + a5 x 5 + a6 x 6 + a7 x 7+ a8 x 8If you do not use right single quotes, Maple evaluates a||k to ak.> sum( a||k * x^k, k=0..8 );ak + ak x + ak x 2 + ak x 3 + ak x 4 + ak x 5 + ak x 6 + ak x 7+ ak x 8You can also use concatenation to form title strings for plots.5.5 ConclusionIn this chapter, you have seen how to perform many kinds of expressionmanipulations, from adding two equations to selecting individual parts ofa general expression. In general, no rule specifies which form of an expressionis the simplest. But, the commands you have seen in this chapter allowyou to convert an expression to many forms, often the ones you wouldconsider simplest. If not, you can use side relations to specify your ownsimplification rules, or assumptions to specify properties of unknowns.You have also seen that Maple, in most cases, uses full evaluationof variables. Some exceptions exist, which include last-name evaluationfor certain data structures, one-level evaluation for local variables in aprocedure, and delayed evaluation for names in right single quotes.