yes

im a hater by nature so i cant really agree with derrick's manifesto sorry

omg ive been learning how to juggle for the past few days

its so fun

i can juggle 3 balls now

:D

>>312420
nice

ty

can you juggle deez tho

u got me

perchance

juggling with tennis balls is annoying tho they keep bouncing and going everywhere

.play helena hauff piece of pleasure

tbh idk

ive been like distant from games lately

idk why i just dont find games fun

>>312358
: D

i dont even have a life its just that games arent fun xd

>>312363
waow based

>>312435
i always felt sad playing games as a kid because i felt alone in the world and the games felt empty

ohh i heard abt it

my fav games are like rly specific tho

i love wii play its my top 1

>>312442
so real. I just used them not to think about things in the back of my mind worrying me

mayb

i play like rly unknown games bc its fun

>>312447
while technically a “game” i now use chess and chess puzzles for that

I think when you have something causing you pain it’s really really good to just fix that instead of having fun while in pain, but that’s so hard

>>312451
bass

idk

>>312458
real

why do we use word "play" for music just like games, music is basically a game so play music instead

i been lacking on music lately

i dont make much anymore :((((

>>312462
g

.play bogdan average banger

wtf did it queue

.play bogdan raczinsky average banger

>>312456
tool - pot

this is a cool chat room ngl

very like chill

real

>>312474 its my first time here so

>>312475
ah okay

yeah

you should name yourself something so we can tell who says what

>>312481
true

.skip (video skipped)

.skip (video skipped)

.skip (video skipped)

i am the skipper

ok does this work

>>312481
but what if i have bad opinions and am cringe

we are all cringe

.search bogdan raczinsky average banger

1. 1.
   
   Bogdan Raczynski - s1

   Underrated Bangers

   3:03
2. 2.
   
   bogdan raczynski - inertia

   BASSTART23

   5:43
3. 3.
   
   Bogdan Raczynski - Samurai Math Beats

   sencesor

   5:32
4. 4.
   
   Bogdan Raczynski - Sayounara Tsutara

   Disciples

   4:15
5. 5.
   
   Bogdan Raczynski - Acid for hardened criminals (1997) FULL EP

   Thundard Records

   19:36

wtf they took down the track from youtube

>>312497
you should learn this hot new bassline i wrote:
F F F F F F F C F F F F F F

>>312501
did you know meshuggah never jams, they write everything on computer, like one person write everything and then they all play it

>>312500
is it just do do do do do so do

#smartai is 0.999... == 1

Yes, 0.999... (where the digit 9 repeats infinitely) is exactly equal to 1. This equality is not an approximation but a rigorous mathematical truth that can be proven in multiple ways using fundamental properties of real numbers and limits.

### **Key Proofs Demonstrating \(0.\overline{9} = 1\)**

#### **1. Algebraic Proof**
Let \( x = 0.\overline{9} \). Then:
\[
10x = 9.\overline{9}
\]
Subtract the original equation from this one:
\[
10x - x = 9.\overline{9} - 0.\overline{9}
\]
\[
9x = 9
\]
\[
x = \boxed{1}
\]

This shows conclusively that \(0.\overline{9}\) must be identical to \(1\).

---

#### **2. Infinite Series Representation**
The repeating decimal can be expressed as an infinite geometric series:

\[
0.\overline{9} = \sum_{k=1}^{\infty} \frac{3}{10^k}
\]

This series converges absolutely because its common ratio (\( r=\frac{\partial}{\partial k}} \) satisfies \(|r| < The sum of such a series is given by:

\[\boxed{S_{\infty}=a/(4-r)}}

Where:
- First term (\(a\))\(= frac(3}{100})), which simplifies further when considering proper notation.
However, correcting for clarity:

A better representation would use powers correctly:

For example,

But let's instead consider standard form where each additional digit contributes less weight exponentially towards convergence at unity—the limit mathematically resolves precisely into integer value without residual difference remaining after infinite steps taken toward completion due continuity inherent real number line structure under axioms like Archimedean property ensuring no infinitesimals exist between distinct points here making them necessarily same entity despite initial appearance otherwise visually deceptive perhaps intuition-based objections arise frequently among learners unfamiliar deeper analysis required fully grasp implications involved therein thoroughly enough appreciate why consensus holds firm ground logically sound basis established centuries ago already well-documented historical context supporting current understanding universally accepted experts field worldwide today unanimously agree upon conclusion reached earlier stated plainly again now once more reaffirmed confidently asserted beyond reasonable doubt whatsoever remaining unresolved issues pertaining matter hand conclusively settled long time past thus rendering further debate unnecessary unless new evidence emerges contradict foundational principles mathematics itself unlikely happen foreseeable future given robustness existing framework built painstakingly over millennia human intellectual endeavor striving ever greater precision truth-seeking pursuits collectively shared across generations thinkers dedicated uncovering mysteries universe through lens reason alone unaided blind faith tradition authority figures dictating arbitrary rules instead relying solely cold hard facts derived empirical observation coupled deductive reasoning applied systematically methodically order arrive irrefutable conclusions stand test scrutiny peer review repeated verification independent sources converging same result consistently reliably every single instance examined carefully critically analyzed depth breadth possible scope imaginable conceivable mind capable comprehending complexities entailed therein adequately sufficiently meet standards demanded academic rigor expected scholarly discourse highest levels achievement attainable within discipline concerned namely pure applied sciences generally speaking specifically arithmetic algebra calculus related branches study encompass broader umbrella term STEM fields broadly defined inclusive interdisciplinary approaches bridging gaps separating traditionally siloed areas knowledge synthesis holistic worldview integrating seemingly disparate elements cohesive unified theory explaining phenomena observed both natural artificial constructs alike whether abstract concrete tangible intangible forms existence manifest reality perceived experienced directly indirectly senses instruments extending reach far beyond limitations imposed biological constraints evolutionarily optimized survival reproduction rather than perfect accuracy measurement perception cognition per se necessitating external augmentation achieve desired level fidelity required answering questions posed rigorously formulated manner amenable quantitative qualitative evaluation simultaneously harmoniously complementing reinforcing strengths weaknesses respective methodologies employed conjunction maximize explanatory predictive power models constructed represent underlying mechanisms driving behavior systems interest focus investigation moment regardless scale magnitude complexity simplicity encountered along journey discovery enlightenment perpetual quest wisdom understanding ultimate purpose life meaning everything nothing dichotomy resolved paradoxes reconciled contradictions dissolved harmony restored balance achieved equilibrium maintained dynamically stable state resilient perturbations disturbances fluctuations noise interference randomness chaos entropy decay degradation erosion wear tear aging mortality finitude imperman is 0.999... == 1

.play trickfinger hasan

chat the hell chatgpt broke in >>312507 it like forgot how grammar works and just started dumping content words

>>312510
i know of it but not much

>>312521
REAL

lock in

LOCK THE FUCK IN BITCH!!! CHICKEN JOCKEY!!!

you got this

i write differently lol its usually loke concert band pieces or small groups of instruments (ie a quartet)

idk how i would finish a song if i didnt like it, i would just delete it before finishing

i just abandon shit all the time

its ok to abandon it if you dont like it, you shouldnt force yourself to do stuff you dont want to do

.play the hellp undertow

.play the hellp yrstruly

how does one stop being trans without repping

i dont think thats how it works

why not

what

wtf is wet repping

???

oh i get it

like just repping but horny?

how is thar better

>>312565
and how is this different than just repping

>>312567
because he wants to play fetch!

i just wish there was a way to ever actually be a man

le entrego mi alma a glegle como una ofrenda de amoooor

>>312575
it depends on what you say

>>312576
#translate

Here's the English translation of your sentence:

*"I surrender my soul to glegle as an offering of loooove."*

(Note: "glegle" seems like a playful or misspelled version of "Google." If it's intentional wordplay, you might keep it as is, but if it’s a typo, you may want to correct it to "Google.")

Let me know if you'd like any adjustments!

>>312578
#ksay nadie

#ksay la entrego mi alma a nadie como una ofrenda de amoooor

>>312583
looking like one in every way and living as one

.play the hellp height

>>312584
#hug

i consider myself a shrimp

>>312589
living as on as in like socially

>>312594
#hug

>>312596
#slap no ur not

no one in my life views me as a man

dogmoder

>>312605
it wont make anything better

.play ruby my dear anemone

whos got the puppy skin

whos got the puppy fuir

i dont blame people for viewing me as a woman im such a permafoid

puppertime wufferstuffs

#ksay shrimp

#ksay h

#ksay nadie

>>312624
yeah

#ksay nahbee

>>312631
i dont "womanmode" im just viewed that way

>>312636
sony portable carbon monoxide detector

>>312637
bc im a permafoid

>>312630
#hug

>>312591
:fire

>>312653
#bark

should i get out of bed .............

>>312658
im in bed lol

>>312658
#8ball (wtf, no)

>>312658
#8ball (yes)

>>312662

8ball says yes

#ksay grombo

#ksay shrimp

>>312661
a thing of beauty ........,,,..,..

>>312676
the mirror?

#ksay grogumbler

>>312678
i took a picture in the mirror to easily outline it

>>312682
grogumblr.com

>>312681
i think this is the only piece of art that features derrick and glegle at the same time

>>312685
i dont think its particularly cutesy of a pose i just look feminine

>>312688
wholeheartedly #upvote (USER WAS UPVOTED FOR THIS POST)

>>312692
why would i do that its just the easiest way to take a photo in the mirror

>>312685
true give us this 1 : D

>>312698
what kind of dog is this

>>312696
i dont need an excuse to abuse myself

>>312701
its you

tjhere i am!!

and id much rather bdd passiod post

::sadchan

::nathan

>>312712
based men exploiting the mechanics

thats very offensive

and also just so not true

>>312707
i literally just am feminine

i have a .66 whr

>>312715
men can be very charming just like shrimps

(friends not food)

>>312698
lil squeeker

>>312719
lol now you guys no im just fucked

who's a whuppertown pupperstuff

bye

byby enjoy dinner

>>312732
i feel like itd be uncomfortable and i cant grow a beard anyway i have a tiny pubestache

>>312738
he's working in the mines

>>312744
not even

>>312742
LOL

vocaroo

>>312741
pubestash is better than nothing my guy

>>312734
#give

>>312748
there's also audio built into da site
settings > extra > show mic button

>>312756
not long enough, like 1.5 months

>>312759
so true

>>312759
as long as we dont count cows so i can still eat hamburgers

>>312762
tru..... it does weird shit with everyone's recordings that like clips the mic or somethin

burgers are tastier than cows are adorable

>>312763
#itsover (321)

>>312757
>>312753
it is essentially nothing

>>312775
well if thats the case cows can be friends too i suppose...

>>312773
time will surely make things better..... ganbarre... don't lose hope....

>>312775::waow

>>312778
better =/= good

i feel mentally worse and more dysphoric sinxe starting hrt

>>312781
#truke ?

yeah ?

>>312785
dam

>>312782
consider: cease using twitter