Customize your cookie preferences

We respect your right to privacy. You can choose not to allow some types of cookies. Your cookie preferences will apply across our website.

We use cookies on our site to enhance your user experience, provide personalized content, and analyze our traffic.

[Boards: 3 / a / aco / adv / an / asp / b / biz / c / cgl / ck / cm / co / d / diy / e / fa / fit / g / gd / gif / h / hc / his / hm / hr / i / ic / int / jp / k / lgbt / lit / m / mlp / mu / n / news / o / out / p / po / pol / qa / r / r9k / s / s4s / sci / soc / sp / t / tg / toy / trash / trv / tv / u / v / vg / vp / vr / w / wg / wsg / wsr / x / y / ] [Home]
4chanarchives logo

0^0=1 prove me wrong


Thread replies: 19
Thread images: 1

File: Untitled2.png (919KB, 776x516px) Image search: [Google] [Yandex] [Bing]
Untitled2.png
919KB, 776x516px
0^0=1 prove me wrong
>>
also

0/0 = 1
>>
>>7936417
0^n=1
n=1
0^1 != n

qed
>>
>>7936430
>winrar
>>
>>7936425
how many times can you organize 0 into groups of 0? 1
>>
>>7936425
0/0 = 1 is correct.
But also 0/0 = 2, 0/0 = pi, 0/0 = llama.
Why?
Let x = 0/0.
Then 0x = 0.
Any x solves this equation.
See https://en.wikipedia.org/wiki/Indeterminate_form
>>
>>7936417
Combinatorially and set-theoretically, yes.

As the form of a limit, it is indeterminate.
>>
>>7936430
Think back to when you learnt x^0 = 1, you learnt a ting

Sir/Maam, you are about to learn tings :)

0/0 is not a defined number.
0^0, likewise, is not a defined number.

Because its not defined, we could call it anything, 1 included, but no more or less than any other value

*However* suppose you have some function which tends to an undefined representation and we want to evaluate this function, what do??

This, sir/Maam: https://www.youtube.com/watch?v=PdSzruR5OeE

Also, 0^0 is the limit as x approaches 0 of x^x
>>
>>7936867
I did not realise it was set-theoretically valuid, can you elaborate on this?
>>
>>7936425
x/0=0
>>
>>7936441
Ahh this answers the set theoretical question I see
>>
>>7936933
>>7936417
See here OP
>>
>>7936925
I meant to refference OPs post, my bad
>>
0 is not a number.
>>
>>7936965
Came here to say this. However, 0^0 could =1 if you think about it in a meta sort of way.

0 times 0 = 1 set of nothing
>>
>>7936930
the number [math]0^0[/math] represents the number of functions from a set of cardinality [math]0[/math] to a set of cardinality [math]0[/math].

That is, the number of functions from the empty set to the empty set. There is exactly one such function: the empty function
>>
>>7936965
Depends what you mean by number
>>
>>7936965
In quite a few sets of 'number', 0 is an entry
>>
>>7936417
>0^0=1 prove me wrong
Can't prove you wrong, because this is in fact true.
Thread replies: 19
Thread images: 1
[Boards: 3 / a / aco / adv / an / asp / b / biz / c / cgl / ck / cm / co / d / diy / e / fa / fit / g / gd / gif / h / hc / his / hm / hr / i / ic / int / jp / k / lgbt / lit / m / mlp / mu / n / news / o / out / p / po / pol / qa / r / r9k / s / s4s / sci / soc / sp / t / tg / toy / trash / trv / tv / u / v / vg / vp / vr / w / wg / wsg / wsr / x / y / ] [Home]

All trademarks and copyrights on this page are owned by their respective parties. Images uploaded are the responsibility of the Poster. Comments are owned by the Poster.
If a post contains personal/copyrighted/illegal content you can contact me at imagescucc@gmail.com with that post and thread number and it will be removed as soon as possible.
If a post contains illegal content, please click on its [Report] button and follow the instructions.
This is a 4chan archive - all of the content originated from them. If you need information for a Poster - you need to contact them.
This website shows only archived content and is not affiliated with 4chan in any way.
If you like this website please support us by donating with Bitcoin at 1XVgDnu36zCj97gLdeSwHMdiJaBkqhtMK