Interesting link.

R.E. Boss


> -----Oorspronkelijk bericht-----
> Van: Chat <[email protected]> Namens Jose Mario
> Quintana
> Verzonden: zaterdag 28 september 2019 00:09
> Aan: [email protected]
> Onderwerp: Re: [Jchat] the advantage of J
> 
> "Cada cabeza es un mundo" (Each mind is a world unto itself)...  See Order of
> Operations in,
> 
> Introduction to I
> https://github.com/mlochbaum/ILanguage/blob/master/doc/introduction.m
> d
> 
> 
> 
> 
> On Fri, Sep 27, 2019 at 3:53 PM Devon McCormick <[email protected]>
> wrote:
> 
> > Are you serious?  I attended a talk by Bjarne Stroustrop one memorable
> > April 1st where he started talking about potential extensions to C++,
> > including one that would make a space an operator.  He was joking, of
> > course.
> >
> > On Fri, Sep 27, 2019 at 3:50 PM Raul Miller <[email protected]> wrote:
> >
> > > Spaces.
> > >
> > > Generally speaking, spaces indicate lower priority operations. They
> > > are not as strict as parenthesis, but they are still a hint.
> > >
> > > Thanks,
> > >
> > > --
> > > Raul
> > >
> > > On Fri, Sep 27, 2019 at 3:47 PM Devon McCormick
> <[email protected]>
> > > wrote:
> > > > Why do you think the thing to right of "8÷" is anything other than "2"?
> > > > What rule says multiplication comes before division?
> > > >
> > > > On Fri, Sep 27, 2019 at 3:36 AM Bernie Eckhart <
> > > [email protected]>
> > > > wrote:
> > > >
> > > > > BEDMAS a.k.a. PEDMAS gives 1 imho.
> > > > >
> > > > > Surprisingly, given that Ken is in both live and, sadly after
> > > > > life, Canadian, my expectation is BEDMAS.
> > > > >
> > > > > Brackets (properly called "parentheses")
> > > > >
> > > > > (2+2)    i.e. (4)
> > > > >
> > > > > Giving      8   ÷   2( 4)
> > > > >
> > > > > again, this post is being written by a non-mathematician.
> > > > >
> > > > > ..........
> > > > > A mathematician walked into a bar.
> > > > > An order was pondered.
> > > > > An order was never placed.
> > > > >
> > > > > ..........
> > > > > A mathematician walked into a bar.
> > > > > The bartender was also a mathematician.
> > > > > A fight broke out.
> > > > >
> > > > > ..........
> > > > > BEDMAS is left to right.
> > > > >
> > > > > so what is to the right of the ÷ sign?
> > > > >
> > > > > I suggest it's an expression that evaluates to 8
> > > > >
> > > > > Big question is what rule was broken.
> > > > >
> > > > > Answer imho round brackets were not used.
> > > > >
> > > > > To my eyes, in 2(4)
> > > > > 2 modifies (4)
> > > > > yielding 8
> > > > >
> > > > > 8÷8 is 1
> > > > >
> > > > > OTOH
> > > > > 8 ÷ 2 x (2+2)
> > > > > becomes
> > > > > 8 ÷ 2 x (4)
> > > > > which becomes
> > > > > 4 x (4)
> > > > > yielding 16
> > > > >
> > > > > Rule learned in elementary school:
> > > > > confusion must be avoided with round brackets.
> > > > >
> > > > > non authouritative reference:
> > > > > en.wikipedia.org/wiki/order_of_operations
> > > > >
> > > > > On Sep 26, 2019 10:23, "'Mike Day' via Chat"
> > > > > <[email protected]>
> > > wrote:
> > > > >
> > > > > Hardly worth commenting as it's a matter of convention,  but I
> > > > > did this check with my Silverfrost/Plato Fortran 95,  albeit in
> > > > > Fortran as I wrote it mid-20th C:
> > > > >
> > > > > Program:
> > > > > "
> > > > >        print *, 8 / 2 * (2 + 2)
> > > > >        end
> > > > > "
> > > > > Output:
> > > > > "
> > > > >             16
> > > > >
> > > > > Press RETURN to close window...
> > > > > "
> > > > >
> > > > > Also,  8 / 2 * 2 + 2 is of course 10 as far as my Fortran is
> > concerned.
> > > > >
> > > > > How different from J and APL ... and K (mine needs updating
> though!):
> > > > > "K 2.8t 2000-08-23 Copyright (C) 1993-2000 Kx Systems
> > > > > Evaluation. Not for commercial use.
> > > > > \ for help. \\ to exit.
> > > > >
> > > > >    8 % 2 * (2 + 2)
> > > > > 1.0
> > > > >    8 % 2 * 2 + 2
> > > > > 1.0
> > > > > "
> > > > >
> > > > > Only chatting/cheating!
> > > > >
> > > > > Mike
> > > > >
> > > > >
> > > > >
> > > > > On 26/09/2019 06:07, Bernie Eckhart wrote:
> > > > > > as a non-mathemation,
> > > > > > seems obvious to me,
> > > > > >
> > > > > > reading left to right,
> > > > > > we have
> > > > > >
> > > > > > thing  divided by  an expression
> > > > > >
> > > > > > expanding the expression give 8;
> > > > > >
> > > > > > except for zero divided by zero,
> > > > > >
> > > > > > value divided by same value is AFAIK always ONE,
> > > > > >
> > > > > > if this were a sentence,
> > > > > > 8 is the subject
> > > > > > divided by is the verb, and
> > > > > > 2(2+2) is the object.
> > > > > >
> > > > > > On Sep 25, 2019 04:28, "R.E. Boss" <[email protected]> wrote:
> > > > > >
> > > > > > From
> > > > > >
> > > > >
> > > > >
> > >
> > https://www.quantamagazine.org/the-math-behind-a-faster-
> multiplication
> > -algorithm-20190923/
> > > > > > “This summer, battle lines<
> > > > > >
> > > > >
> > > > >
> > >
> >
> https://twitter.com/pjmdolI/status/1155598050959745026?ref_src=twsrc%5
> >
> Etfw%7Ctwcamp%5Etweetembed%7Ctwterm%5E1155598050959745026&ref
> _url=http
> >
> s%3A%2F%2Fwww.nytimes.com%2F2019%2F08%2F02%2Fscience%2Fmath-
> equation-p
> > edmas-bemdas-bedmas.html
> > > > > >
> > > > > > were drawn over a simple math problem: 8 ÷ 2(2 + 2) = ? If you
> > > divide 8
> > > > > by
> > > > > > 2 first, you get 16, but if you multiply 2 by (2 + 2) first,
> > > > > > you
> > get
> > > 1.
> > > > > So,
> > > > > > which answer is right? The conflict grew so heated that it
> > > > > > made the
> > > pages
> > > > > > of The New York Times<
> > > > > >
> > > > >
> > > > >
> > >
> > https://www.nytimes.com/2019/08/02/science/math-equation-pedmas-
> bemdas
> > -bedmas.html
> > > > > >.
> > > > > > And as the comments section shows, even a professional
> > mathematician
> > > > > > weighing in on the matter wasn’t enough to bring the two sides
> > > together.”
> > > > > >
> > > > > >
> > > > > >
> > > > > > R.E. Boss
> > > > > >
> > > --------------------------------------------------------------------
> > > --
> > > > > > For information about J forums see
> > > http://www.jsoftware.com/forums.htm
> > > > > >
> > > --------------------------------------------------------------------
> > > --
> > > > > > For information about J forums see
> > > http://www.jsoftware.com/forums.htm
> > > > >
> > > > >
> > > > > --
> > > > > This email has been checked for viruses by Avast antivirus software.
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> > > > >
> > > > >
> > > > >
> > ----------------------------------------------------------------------
> > > > > For information about J forums see
> > http://www.jsoftware.com/forums.htm
> > > > >
> > ----------------------------------------------------------------------
> > > > > For information about J forums see
> > http://www.jsoftware.com/forums.htm
> > > > >
> > > >
> > > >
> > > > --
> > > >
> > > > Devon McCormick, CFA
> > > >
> > > > Quantitative Consultant
> > > > ------------------------------------------------------------------
> > > > ---- For information about J forums see
> > > > http://www.jsoftware.com/forums.htm
> > > --------------------------------------------------------------------
> > > -- For information about J forums see
> > > http://www.jsoftware.com/forums.htm
> > >
> >
> >
> > --
> >
> > Devon McCormick, CFA
> >
> > Quantitative Consultant
> > ----------------------------------------------------------------------
> > For information about J forums see
> http://www.jsoftware.com/forums.htm
> >
> ----------------------------------------------------------------------
> For information about J forums see http://www.jsoftware.com/forums.htm
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