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Sigma := proc(data) local mean,n,s,x; > n := nops(data); > if n < 2 then ERROR('input must contain at least 2 values') fi; > mean := 0; > for x in data do mean := mean + x od; > mean := mean/nj > s := 0; > for x in data do s := s + (x-mean)A2 od; > sqrt(s/(n-l» > end: Some examples illustrating exact and numerical computation. 311565127 Compute the Chebyshev polynomials of the first kind, Tn{x) of degrees 0 through n, and store them in a table. This time we've included some argument checking to make our program more robust.
The value FAIL is sometimes used as the value returned by a procedure when it is unable to completely solve a problem. In other words, it can be viewed as the value "don't know". 8. 6 Repetition Statement The syntax of the repetition statement is either of the following two forms ((expr) and (statseq) are defined in the previous section): for (name) from (expr) by (expr) to (expr) while (expr) do (statseq) od for (name) in (expr) while (expr) do (statseq) od where any of 'for (name)', 'from (expr)', 'by (expr)', 'to (expr)', or 'while (expr), may be omitted.
67 Entries of an array can also be assigned in a for loop. Here we create a two-dimensional array. > A := array(1 .. 1 .. j] := i-2-j-2 od od: > print(A); [0 -3 -8] [3 0 -6] [8 6 0] [ [ ] ] In addition to arrays, Maple also has a ''table'' facility. Unlike arrays, tables can be defined ad-hoc and indices can be any value, not just integers. Tables are created as soon as you assign something to an indexed variable which is not already an array or table. > Height[Joe] :- 176 • em ; Height [Joe] :- 176 em > Height[Fred] :- 186 • em ; Height [Fred] :- 186 em > Height[average] :- (Height[Joe] + Height[Fred])/2 ; Height [average] :- 180 em Of course you can define a variable to be a table.