It’s true…but it’s our duty as honest people to base our writings on truth, not on convenience. It’s like when we note problems with Darwin’s theory, or data that revises early assessments of global warming. Yes, it allows the damned fools among us to crow and gibber and prance about in antic glee – but it’s our very integrity that makes us the “good guys” in the fight against ignorance.
You’re very right: it’s something that can be pounced upon by the willfully ignorant. That’s definitely a bummer.
Those of us who know (a little!) math can say it’s like non-Euclidean geometry. Yes, the inside angles of a triangle don’t always add up to exactly 180 degrees. But since space-time here at the surface of the earth is pretty damn flat, we know that not one of them can ever construct such a triangle, so, ultimately, the laugh is against them.
The overline in a decimal representation is a notation for “repeat infinitely.” E.g., 0.3̅ is a concise way of writing 0.333…, and 0.9̅ = 0.999… It’s also convenient for writing repeating decimals that would be ambiguous if just an ellipsis were used; for example, 0.223̅1̅1̅, indicating that just the “311” part repeats – so the expansion looks like 0.22311311311311311…
To render it in text, there is the Unicode character U+0305, “◌̅ combining overline,” which will be rendered above whatever character precedes it. So, the Unicode sequence “0.3\u0305” is rendered as “0.3̅”. In UTF-8, it would be encoded as “0.3\xcc\x85”. You should be able to just copy the character out of a character map utility and paste it after any character you want to overline.
It’s a snarky response to your straw man argument. I never claimed dt is an element of the Reals, nor have I claim that dt is an element of the complex numbers. You claimed differentials don’t exist, and I suppose without essence, they wouldn’t. Therefore without this non-existent infinitely small amount between 0.999… and 1, they could never be equal.
From the beginning, watchwolf49 took the position that the only infinitesimal is zero, which is exactly the position you thought they were arguing against.
Don’t just sob, do something about it. The mods are usually responsive to requests from the OP to lock a thread.
Otherwise, this thread will go on for 10,000 posts MINIMUM, sitting on the front page of the Pit for months to come, and filling you with REMORSE every time you look at it.
No, no, I’d never be such a cad as to request that a thread I started be locked, not even if it backfired on me embarrassingly. That’s just dirty pool. My rule is that whenever you make a fool of yourself, you should take it like a man, otherwise you’ll never learn. Besides, I find the spectacle darkly amusing however much it torments my soul.
hey guyz im pretty sure .999… is not 1 look at my proof i used programming in c language
easy to show
let me blow ur minds
probably no1 ever tried this
maybe u guys should try something b4 spouting ur
empty proofs
never trust
others
here it is
obvious as can be
powerful stuff
effortless done…
#include <stdio.h>
typedef char* number;
int main( void ) {
number nines = ".999...";
number one = "1";
printf("%d
", nines == one);
return 0;
}