This is strictly based on the tolerance properties of the Operator not the
Type of the Operands (Iyiabo's Prime Theorem).
(Integer) ,(Integer) NB. The question we are asking is, are these
Terms the same?
(17) -: (17)
1
(Floating) ,(Integer) NB. So also we are asking, are these Terms the
same?
(17.0)-:(17)
1
Ak
On Fri., Jan. 6, 2023, 20:29 Don Kelly, <d...@shaw.ca> wrote:
> J has it right.
>
> (17+45+65+71+5) -: (17+45+65+71+5) is the match between two integer
> sums-each of which gives the integer result as they have the same boolean
> representation and are equal-giving a "1" result
>
> (17.36+45.24+65.87+71.20+5.00) -: (17+45+65+71+5) is an attempt to compare
> a floating point number with an integer-the result is floating point and a
> "0" result
>
> +/ 17.36 45.24 65.87 71.20 5.00
>
> 204.67
>
> (+/17+45+65+71+5)
>
> 203
>
>
> Don Kelly
>
>
>
> On 2023-01-05 4:06 a.m., Ak O wrote:
> > These are both certainly Terms of Degree 2.
> > They are not equalities. They are not the same Term.
> >
> > The point I mean to highlight is the represention (for the purpose of
> > calculation).
> >
> >
> > 16/32 is not 15/30 is not 8/16. An equivalence is 1/2. It should never be
> > mistaken for Expression Linear /Logarithmic.
> >
> > The problem is in cases where you apply an equivalence simplification
> > improperly sequence wise.
> > You loss coherence of the expression, (which often leads to settling on
> on
> > approximation where resolution can be achieved).
> >
> > This is what we think we are saying.
> > (17+45+65+71+5) -: (17+45+65+71+5)
> > 1
> > This is what we are actually saying.
> > (17.36+45.24+65.87+71.20+5.00) -: (17+45+65+71+5)
> > 0
> > Or worse
> > (17.99+45.99+65.99+71.99+5.99 ) -: (17+45+65+71+5)
> > 0
> >
> > In part, this is why the full representation should be favoured.
> >
> > Particularly for unknown cases where it is common to reach for
> Infinities.
> >
> > I am rambling now. Let me know if this is not clear.
> >
> >
> > Ak
> >
> >
> > On Wed., Jan. 4, 2023, 22:18 Raul Miller,<rauldmil...@gmail.com> wrote:
> >
> >> On Wed, Jan 4, 2023 at 10:24 PM Ak O<akin...@gmail.com> wrote:
> >>> File -> Wed Jan 4 03:40:07UTC 2023
> >>> The statement:
> >>> So, there's no difference in Degree 1 2 1 0 0 0 and 1 2 1...
> >>>
> >>> This is not correct. These should not be seen as equalities.
> >> That's an interesting perspective.
> >>
> >> It seems to me that both of these are polynomials of degree 2. If
> >> they should have different degrees, what degrees should they have? And
> >> how would this be consistent with the opening sentence at
> >> https://en.wikipedia.org/wiki/Degree_of_a_polynomial#:
> >>
> >> "In mathematics, the degree of a polynomial is the highest of the
> >> degrees of the polynomial's monomials (individual terms) with non-zero
> >> coefficients."
> >>
> >> Thanks,
> >>
> >> --
> >> Raul
> >> ----------------------------------------------------------------------
> >> For information about J forums seehttp://www.jsoftware.com/forums.htm
> >>
> > ----------------------------------------------------------------------
> > For information about J forums seehttp://www.jsoftware.com/forums.htm
> ----------------------------------------------------------------------
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