Maxima Manual - Example Page 15 - different result for ''sin(1);
Subject: Maxima Manual - Example Page 15 - different result for ''sin(1);
From: Richard Fateman
Date: Thu, 18 Dec 2008 10:24:00 -0800
Robert Dodier wrote:
>
> The point of a reference manual is to describe what the program DOES.
> Whether it's useful or not is for someone else to figure out.
>
An example in the manual should illustrate how a feature is useful. The
example of ''sin(1) is wrong, and I am surprised that
it was ever right. The rest of the example regarding foo is, I think,
pointless.
How would you feel about an automobile manual that described the side
view mirrors, and then by example showed that if you pointed them
downward you can see how close to the curb you have parked?
Then left it to the driver to figure out that it was not a good idea to
leave the mirrors in this position.
Incidentally, the Macsyma manual as it emerged from MIT consisted in
part of documentation which described a functionality concisely and then
in the examples showed almost uniformly the exceptional circumstances in
which the functionality would fail. This was not helpful.
I think that relevant examples are very important, and a way of
accessing a large range of examples (e.g. by a link) is a great idea,
and one that is used to very good effect in the Mathematica reference.
> The feature in question is the verbification of nouns via quote-quote.
> If you believe that can never be useful, feel free to promote
> the idea of cutting it out.
>
The best explanation of the use of '' is that ''x is the same as if
you were to type the value of x AT THAT POINT. This is something I
think of as being done by the parser. I don't know if really is done
that way, but thinking of it that way works for me.
There is another use, (separately implemented?, that makes '' the
inverse of ' in some sense, but in such a subtle way that
it probably should not ever be used -- there are other commands nounify,
verbify. ''x and
consider 'diff(y,x), which is different from '(diff(y,x)) which is
different from diff(y,x) = '''diff(y,x); see also ''('diff(y,x)) which
is still a noun form. Also see ev('diff(y,x)) vs ev('diff(y,x),diff).
Interestingly, you can type ''' , ' '' , '' ' , it turns out that
''' means '' '.
now also try
?print(x); --> verb form
?print(nounify(x)); --> noun form
?print('x); --> verb form
?print(''x); --> verb form
?print(''nounify(x)); --> noun form
?print(''(nounify(x))); --> noun form
?print(verbify(nounify(x))); --> verb form
My suspicion: if this '' works in any particular instance the way you
want it to, it is just a fortunate accident!