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Discussion of "fa'ai'ai"
[parent] [root]
Comment #1: Example
Curtis W Franks (Sat Sep 7 22:36:31 2019)

Example: Ultimate digital roots are preserved under integer addition. Let

Comment #2: Re: Example
Curtis W Franks (Sat Sep 7 22:41:45 2019)

(It did not display before, so I am hoping to fix that)

krtisfranks wrote:
> Example: Ultimate digital roots are preserved under integer addition.
Let "dr" denote the ultimate digital root function in decimal base. Then
for any nonnegative integer m and for any natural numbers n_1, n_2, ...,
n_m, it is true that dr(n_1 + n_2 +...+ n_m) = dr(n_1) + dr(n_2) +...+
dr(n_m), where m = 0 implies an empty sum which we conventionally define
to be equal to 0. The rhs in that equation (in general function form) can
be expressed via "fa'ai'ai" where f = '+' (Lojban: "su'i"), g = 'dr',
and S = "ro".

Comment #3: Re: Example
Curtis W Franks (Sat Sep 7 22:49:55 2019)

The relevant rhs should actually be "dr(rhs_0)", where rhs_0 is the
relevant one originally displayed; the mention of "rhs" in the original
text should instead refer to rhs_0.

krtisfranks wrote:
> it is true that dr(n_1 + n_2 +...+ n_m) = dr(n_1) + dr(n_2) +...+
> dr(n_m), where m = 0 implies an empty sum which we conventionally define
> to be equal to 0. The rhs in that equation (in general function form)
can
> be expressed via "fa'ai'ai" where f = '+' (Lojban: "su'i"), g = 'dr',
> and S = "ro".

Comment #4: Re: Example
Curtis W Franks (Sat Sep 7 23:07:59 2019)

I just edited the definition of this word. The previous comments assume
that m=0.

krtisfranks wrote:
> The relevant rhs should actually be "dr(rhs_0)", where rhs_0 is the
> relevant one originally displayed; the mention of "rhs" in the original
> text should instead refer to rhs_0.
>
> krtisfranks wrote:
> > it is true that dr(n_1 + n_2 +...+ n_m) = dr(n_1) + dr(n_2) +...+
> > dr(n_m), where m = 0 implies an empty sum which we conventionally
define
> > to be equal to 0. The rhs in that equation (in general function form)
> can
> > be expressed via "fa'ai'ai" where f = '+' (Lojban: "su'i"), g =
'dr',
> > and S = "ro".

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