/sci/ - Science & Math

[Anonymous No.11586915]

How can 1/3=0,333... without taking for granted that 0,999... = 1?

[Anonymous No.11586921]

>>11586915
How can 0.999... = 1 without taking for granted that 1/3 = .333...?

[Anonymous No.11586924]

>>11586921
Don't derail my thread, you fucktwat

[Anonymous No.11586930]

[eqn] 0.999... = 1 [/eqn][eqn] ∴ ~ \tt{you~can~go~the~speed~of~light} [/eqn]

[Anonymous No.11586942]

>>11586915
By evaluating the geometric series that is 0.333...

[Anonymous No.11586953]

>>11586942
Can you prove the [math] \frac{1}{1-q} [/math] formula?

[Anonymous No.11586956]

>>11586953
Better:
[eqn]\frac{a_{0}}{1-q}[/eqn]

[Anonymous No.11586961]

>>11586915
[math] \displaystyle
\boxed{0 < p < 1} \\
p^n-1 = (p-1)(p^{n-1}+p^{n-2}+ \dots +p+1) \\
\dfrac{p^n-1}{p-1} = \sum \limits_{j=0}^{n-1}p^j \\
\displaystyle
\lim_{n \to \infty} \dfrac{p^n-1}{p-1} = \lim_{n \to \infty} \sum \limits_{j=0}^{n-1}p^j \\
\displaystyle
\dfrac{0-1}{p-1} = \sum \limits_{j=0}^{\infty}p^j \implies \dfrac{1}{1-p} = \sum \limits_{j=0}^{\infty}p^j
[/math]

[math] \displaystyle
p=0.1 \\
\dfrac{1}{1-0.1}=\frac{10}{9} = 1 + \frac{1}{9} \\
\sum_{j=0}^\infty 0.1^j= 1 + \sum_{j=1}^\infty 0.1^j \\
9+1=9+9\sum_{j=1}^\infty 0.1^j \\
1=9\sum_{j=1}^\infty 0.1^j = 0.999...\\
\dfrac{1}{3} = 3 \sum_{j=1}^ \infty 0.1^j = 0.333...
[/math]

[Anonymous No.11586973]

>>11586915
[math]1 - 0.999... = lim_{x->0} x[/math]

Is this true?

[Anonymous No.11586975]

>>11586961
/thread

[Anonymous No.11586997]

>>11586961
Three things:
0−1p−1=∑j=0∞pj the infinity should be inf - 1 since there is n - 1 and n goes to inf in the previous line
What's the connection of =109=1+19 and ∑∞j=00.1j
Idk how ∑∞j=00.1j turned into 9 + 1. Their respective right side are clearly just times 9.

[Anonymous No.11587005]

>>11586997
>should be inf - 1
https://www.wolframalpha.com/input/?i=inf-1

>What's the connection of =109=1+19 and
it's just using the result proved earlier, really just plug and chug.
it's babby math at that point.
if you can't figure it out, be prepared to flip burgers for the rest of your life.

[Anonymous No.11587010]

The set of numbers [1, 2, 3, 4, 5, 6, 7, 8, 9] and fractions (1/3) predates the number 10

It's rather amazing really because if anyone understand the history of how 0 came about it was literally just a symbol to indicate the start/end of a row.

That whole 0.999... = 1 is the same as saying you can have a row of infinite length, which is when you the measurer have to identify if it is worth logging.

Calculus really is quite a beautiful thing.

I feel like so many humans don't understand the value of a null terminator.

Or maybe it is that some people don't understand that analysis and imagination can go on forever but a practical result has to have some sort of priority involved.

>>11586973
... = lim(f(x))
Yes, that is correct. Ellipses or recurring decimals have always been a way of presenting an exhausted solution space.

[Anonymous No.11587018]

>>11587005
>doing operations with infinity
Ok buddy
>result proved earlier
Now I see it (even though you fags take proof classes you really are terrible at giving clear explanations), and it is correct. You might wanna still explain the third point.

[Anonymous No.11587024]

>>11587005
Do I have a slave harem throwing themselves at me with wanton abandon whilst I flip burgers, preferably in flagrant view and as a virile display in front of the customers?

Because that might change my mind.

>Bonus points if I get to stare in the customer's eyes and defecate loudly while not wearing pants as I am vigorously fellated and flipping their burger. I may or may not grunt loudly.

Or could I flip quantum burgers and have my grill be the field with each patty a qbit and I only APPEAR to be performing a mundane mechanical task whilst in truth I am performing quantum calculations/operations for the singularity in order to bring about a future of machination that removes the need for humans to repeat to the exhaustion of their resource projection futures?

>inb4 hypergeometric hamburglar

>>11587018
PROTIP: The only operation you can do on infinity is truncate via interrupt.

[Anonymous No.11587036]

>>11587024
>infinity is truncate via interrupt
0.999... is static, the length is aleph_0 from the get go.
Your naive cartoon vision of a diesel engine chugging along is ridiculous. Embarrassing even.

[Anonymous No.11587038]

Because your retarded brain can't comprehend basic mathematics.

[Solivagus No.11587041]

>>11587036
>infinity is truncate via interrupt
LET US TRY AGAIN: The only operation you can do on infinity is truncate via interrupt.

I interrupt your retarded truncation by presenting the base case in hopes that you recalibrate your interpretation and leave my infinite case open to be interrupted/truncated yet again.

>The meme is me trying to give an artistic interpretation.

>>11587038
What would you recommend as a course of action for brain retardation and further identifying future members that experience such hardship? Do you have a causality table for what happens to a distributive field of identities when comprehension of basic mathematics is not present?

[Anonymous No.11587048]

>>11587041
toot toot said the retard

[Solivagus No.11587057]

>>11587048
Oh, I have that kind of audience in attendance.

Well education has been the art of tumbling thoughts around until something falls out. Humans get all testy when we just direct-implant stuff.

Trouble is those that use the echo chamber of insults in order to define their world tend to become trapped by simply incrementing/empowering their 'hurr durr' responses. Unless this is a very intelligent person who simply reduces things to 'said the retard' and has some integration methodology later which actually helps their lot in life.

Could easily be 'act like an idiot here, be a genius everywhere else'.

Guess everyone needs that one space where they can be dumb and defenseless without it becoming a defining delta.

By the above definition I would be the retard that accepts every challenge and signs every contract, preferably the ones where the people laugh loud and abusively while I smile and sign.

[Anonymous No.11587063]

>>11587057
>wall-of-text schizo
errytime

[Solivagus No.11587068]

>>11587063
Hm, now here is always the interesting part for me. Sort of like the difference between those that have an internal narrative, those that are mostly speech-based, and those that interact primarily with text.

Thing is I'm unsure of what sort of magic talking fish I'm supposed to be for this anon. I mean, obviously they want some sort of whore of definition, as in something that just submits to whatever pre-established narrative they have going currently, but without enough predicate or direction all I can do is wiggle.

https://www.youtube.com/watch?v=XjDvpWAUliA

>Seduction and sarcasm share a graph edge.

[Anonymous No.11587090]

>>11586915
Because the whole aka reality is a circle not a straight line

[Anonymous No.11587146]

>>11587057
>>11587068
Even in my threads there will some schizo to derail it. That's it, I am blocking this fuycking garbage site from my browser

[Solivagus No.11587152]

>>11587146
https://www.youtube.com/watch?v=rY0WxgSXdEE

>It's honest work.

[Anonymous No.11587153]

>>11586930
>implying velocity doesn't change in quantized steps
>implying true asymptotes exist in real life

[Anonymous No.11587969]

>>11586915
We don't "take 0.9...=1 for granted", we PROVED that 0.9...=1
Pic related.

[Anonymous No.11587986]

>>11586915
one of the thirds = .333...4 so it works out.

[Anonymous No.11588011]

>>11587986
Wrong.

[Anonymous No.11588099]

1/3 = 0.333...
3/3 = 0.999...
3/3 + inf = 0.999... + inf
1 + inf = 0.999... + inf
inf = inf.999...
inf - inf = inf.999... - inf
0 = 0.999...

[Anonymous No.11588107]

>>11588099
Double check the latter half of your work. It's fucking abominable.

[Anonymous No.11588118]

>>11586915
neither 1/3 = 0.333... nor 0.999... = 1 is just taken for granted. both follow from much much more general definitions. disputing 0.999... = 1 basically means rejecting real numbers.

[Anonymous No.11588126]

>>11586973
[eqn]1 - 0.999... = \lim_{n\to\infty}\frac{1}{10^n} = 0\\
\lim_{x\to 0}x = 0 \\
0 = 0[/eqn]
it's true

[Anonymous No.11588170]

>>11588107
oops I meant
inf - inf = 1

[Anonymous No.11589725]

>>11587153
>implying velocity does change in quantized steps
Does it? I've seriously never heard of that before, where can I read about this? Thanks for responding btw
>implying true asymptotes exist in real life
Is it even meaningful to ask if they do? Are there any results that demonstrate they don't exist? I just don't think this question can be answered in principle.

[Anonymous No.11589750]

>>11586915
Here is a proof to btfo 1tards with. Please copy and paste this to btfo 1tards in all threads

1-0.999...=0.00000000...000001

There are infinite 0s between the start of the number and the 1 at the end.
>hurr durr you cant do that
Well I guess you are saying infinity doesn't exist then? Because if there are infinite .9s before you get to 1 why cant you have infinite 0s before you get to .0000000000001?

1tards BTFO FOREVER!