The definition of h(x) is missing or incomplete or have been truncated in some way.

Regards,
--
Jean-Marc

It looks as though you are trying to say that h is a piecewise defined function. If so, then you will need to use the piecewise command. For example,

h := x->piecewise( x>0 and x<1/2, 2*x, 0 );

There are other issues with the little snippet of code that I can see in your original post. First, sum should be replaced with add. (While it works with sum, sum is for use with formal sums that you expect will have a closed form or other simplification.)

You can now plot the FUNCTION f as follows:

plot( f, 0..1 );

or the EXPRESSION f(x) as follows:

plot( f(x), x=0..1 );

Since this function is discontinuous, you may want to include the option discont=true in either of the above.

If you want to include the base function, h, in the plot you might want to do something like

plot( [f,h], 0..1, discont=true, style=[line,point] );

If you happen to want to look at the value of f(x), you will see the sum of 21 piecewise functions. We can force Maple to simplify this to a single piecewise-defined function with the following:

f(x);
convert( f(x), piecewise );

Guessing at your ultimate interests, this form might be very enlightening or instructive.

Doug

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Douglas B. Meade
Math, USC, Columbia, SC 29208  E-mail: mailto:meade@math.sc.edu       
Phone:  (803) 777-6183         URL:    http://www.math.sc.edu/~meade/