Hey /sci/ I was just wondering about the following.
It may be clear that:
[math]d(x,y) \geq |d(x,z) - d(y,z)|, \quad \forall z \in X[/math]
Now my question is; for distinct x and y, does there always exist a [math]z [/math] such that [math]d(x,z) \neq d(y,z)[/math] ?
>>9038485
Oh [math]d [/math] is a metric function ofcourse.
yes, just let z be x or y (say x), then d(z,x)=0 and d(y,z)!=0
less trivially, in general the answer is no if you consider the discrete metric d(x,y)=1 when x!=y.
>>9038497
ah yea, i was thinking about the less trivial cases where z != x or y.
but had not considered the discrete metric yet. thanks for pointing that out
>>9038485
Your disturbing image caused me to forget our question.
>>9038528
Newfaggotry, newfaggotry everywhere.
>>9038550
You're that same fag that posted the zipo cat meme a few weeks ago. Don't you need to hang yourself or something this week?
>>9038485
Goddamn mathemagicians at it again, conjuring lesser daedra from planes of oblivion and fucking shit up..
Your special glyphs will not help you when this beast cuts loose!
>>9038485
OPs pic is proof that cats are descendants from dragons. Like miniature dragonlings.
>>9038739
you must be confused.
the person you quoted is not OP.
I am OP.
but still you must be confused.
because the cat in the picture is not my cat.
I just saved the image a long time ago.
>>9043186
>4 posters
Stop bumping your own thread samefag, no one is replying because it's a shit thread
Sage this shit already