Re: Does the number of nines increase?

On 7/8/2024 3:57 PM, WM wrote:

Le 08/07/2024 à 19:33, Jim Burns a écrit :

A change needs be _with respect to_ something,

>
yes, to the value befor that point.

Yes,
for example, floor(0) with respect to floor(0-ε)
Or,
yes, to the value after that point
for example, ceiling(0) with respect to ceiling(0+ε)
Functions do not change at a point.
Functions change _near_ a point.

Consider

>
No.
A person who believes in
loss by exchange and
NUF changing at 0

_near_ 0

is not of interest to me.

Does each nonempty set S of unit.fractionsᵂᴹ
hold a largest S.element?
Does each unit.fractionᵂᴹ u (including 1)
have a next.smaller unit.fractionᵂᴹ ⅟(1+⅟u) ?
Does each unit.fractionᵂᴹ v (excluding 1)
have a next.larger unit.fractionᵂᴹ ⅟(-1+⅟v) ?
Or is  what you're talking about irrelevant to
what you're saying?