> Behalf Of David Vincent-Jones
> 
> There are cleaver ways to avoid the problem .. but remember that x and y
> are
> probably the most common of all mathematical variable names that are now
> being boxed into a special significance.
> 
> The names x., y. et all were special and looked special; fine but
> eliminating any part of the a through Z series as regular nouns I believe
> to
> be unfortunate.
> 
> David
> 

The message below holds similar observations, but it is all academic now (if
it ever was otherwise).

> On Behalf Of Cliff Reiter
> Sent: Thursday, January 26, 2006 7:26 AM
> To: General forum
> Subject: Re: [Jgeneral] explicit arguments
> 
> I really wish this thread would go away, but...
> 
>  >>>The arguments to an explicit definition are denoted by
>  >>>x. y. m. n. u. v. ; they could be denoted by x y m n u v
>  >>>instead.
> 
> I can't imagine I would favor using one letter uninflected names
> for arguemnts. I would be embarrsed if I had to tell my students
> here is a list of one letter names you can't use as temporary
> variables without danger of confusion.
> 
> Roger Hui wrote:
> > I think you got it wrong.
> >
> > It is much more likely that "our maths book" contains
> > x and y than for it to contain x. and y., and x and y can
> > be put directly into the new regime explicit definition.
> >
> ...
> 
> Actually, teaching math at the college level, I see x and y
> as independent variables pretty much only only in Calculus III
> as in z=f(x,y) as a function in common math notation.
> 
> Most lower levels deal with single varaible functions and use
> y as the dependent variable, as in y=f(x), so to be more
> comfortable with HS or introductory college level math,
> all our function names should be "y" (tongue firmly in check).
> By the time students are more sophisticated than calulus III, they
> see vector notation for independent variables, as in
> $\vec y = \vec f (\vec x)$.
> 
> One of the strengths of J and APL is the dazzling grace that comes
> from mixing monads and dyads. There is some conflict with
> common math notation with this. However, I would see changing
> x. y. m. n. u. v. to  x y m n u v
> as making it more difficult to distinguish temporary variables
> from reserved argument names and I think using the inflections
> makes it easy to expect special meaning for the symbols.
> 
> Best,
> Cliff
> 
> --
> Clifford A. Reiter
> Mathematics Department, Lafayette College
> Easton, PA 18042 USA,   610-330-5277
> http://www.lafayette.edu/~reiterc
>



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