#serious-discussion

1 messages · Page 340 of 1

timid bronze
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Just checked

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You can

junior turtle
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idk hmmcat

jagged forge
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self reacting in a chat between 2 people is like the saddest thing imaginable

latent edge
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I made a chatting app that I share with my family and friends. In that one you can set it up so that you can react with X amount of emojis in one click

junior turtle
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but this sounds like a fact that you are stating and not a question so i will answer by yes kekw

latent edge
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My emojis were basically all the opencries I have from discord

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34 of them

raw cedar
timid bronze
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It was originally a question

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But I found out the answer after

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OOPS WRONG REPLY

jagged forge
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ally self reacts in dms confirmed

timid bronze
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I DO NOT

junior turtle
last rose
junior turtle
timid bronze
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Fair

junior turtle
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i also really hate iphone so i dont want to hold one unless i am forced to

last rose
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my iphone, too, levitates

stone ferry
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or do you mean discord

last rose
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we have lancey's twin now

timid bronze
stone ferry
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yeah this was a bit in discussion

timid bronze
stone ferry
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I'm leaving this nick for like 5 mins in case anyone else opens that channel

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ew light mode

timid bronze
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Shut up

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Kiddo

last rose
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shuupido

stone ferry
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anyways since when does sms support this

last rose
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since forever

vast wraith
jagged forge
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is it supported in sms?

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i just assumed it was an imessage thing

stone ferry
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this is also showing how little I text people I guess

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surely this is just in the last year

last rose
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i prefer sending letters

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more elegant

stone ferry
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I mean I send messages

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I just don't give out my phone number often

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other platforms are more convenient

last rose
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what if i asked

stone ferry
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you see that's the other problem I never have people asking for my phone number

last rose
stone ferry
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I actually should've asked one girl for her number, she started a conversation with me on a train and in hindsight she probably liked me

timid bronze
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Love at first sight?

stone ferry
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but I only thought of this 50 mins after the leaving the train as I had walked from my stop to my house.

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well I sat down and she asked if I listen to metal

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I said not much, but some adjacent stuff

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we talked about music for like 15 mins then I got off at my stop and walked home

last rose
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rikstake

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you seem like a musically inclined person

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name all songs

timid bronze
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I read a post about someone regretting not asking a girl he met at a theme park for her number. He genuinely fell in love with her and even 3 years later is still hoping to see her again

latent edge
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lol i leave and come back to this

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mamma mia

last rose
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can someone suggest me songs similar to Love, you should've come over

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heltoid

timid bronze
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Idk how I personally feel about love at first sight entirely. I don't think it works that way for me, but it could for some

stone ferry
timid bronze
stone ferry
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so I'm more or less perpetually listening to something if I'm not in public or talking to someone

timid bronze
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I have 40k mins on Spotify this year

last rose
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at first sight, one only has access to physical appearance, movement, voice, social cues, and your own projections

timid bronze
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Not a WHOLE LOT but still

last rose
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you cannot love anyone as a person then

stone ferry
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I don't have spotify

stone ferry
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I did get last.fm but I won't share it until it has at least a year of data on it

last rose
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This year i got something like 40k mins

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last year i had 200k with radiohead

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uhm

stone ferry
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it's not really representative of my taste yet, it's been too much of like a dozen songs that got stuck in my head during exams

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it also doesn't cover my phone music usage, which is just through an mp3 player app

last rose
latent edge
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I recently got into a jazz version of Touhou music

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shit goes hard

timid bronze
last rose
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how do you define love

timid bronze
timid bronze
last rose
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it's never over
my kingdom for a kiss upon her shoulder
it's never over
all my riches for her smiles when i slept so soft against her
it's never over
all my blood for the sweetness of her laughter
it's never over
she's a tear that hangs inside my soul forever...

stone ferry
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my niece said I should listen to radiohead. so far I've only listened to OK Computer a few times, but I like it.

timid bronze
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Istg no one knows them 💔

last rose
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the philosophy of love is somewhat foreign to me

stone ferry
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chase atlantic? well just go east, it doesn't exactly move

stone ferry
latent edge
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Is there a cohomological definition of love

timid bronze
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Ngl, a lot of songs I listen to are about love or breakups

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💀

stone ferry
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a lot of the songs I listen to are about murder

last rose
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one can think of a relationship as a space X

latent edge
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there's one singer who does a lot of breakup songs I don't remember her name

latent edge
last rose
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then simply one suggests that everyday interactions, routines, etc. form a big pile of local data like a cocycle

latent edge
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I know it does she is super famous too

timid bronze
latent edge
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I don't remember her name and I thank god for this

last rose
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if all the local data is just noise it might be coboundary

timid bronze
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I feel bad for OR

stone ferry
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there was some deleted message accusing me of murder but it actually reminds me of something funny

timid bronze
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She was about to release a happy love album

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But she just broke up with her bf

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💔

stone ferry
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there's this one rapper, scarlxrd, who generally has very violent lyrics

last rose
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if it forms something that cannot be globally trivialised, it defines a nonzero class in H^1(X) or higher

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one might postulate therefore that

stone ferry
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but then whenever you see him in interviews he's just like, the happiest dude who loves dancing

latent edge
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speaking of which my friend's bf died : (

last rose
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Love is a cohomology class [L] in H^*(X) that is globally meaningful and not exact

last rose
timid bronze
deep mango
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@timid bronze okay, ill play uno with you now if you would still like

stone ferry
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it's like he puts all his rage into the music and then has none left for the rest of his life

timid bronze
stone ferry
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and the music is pretty good

timid bronze
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Maybe actually

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Nvm let's just play considering I bugged you sm for this XD

stone ferry
last rose
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vaxing

stone ferry
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I've heard some are against this.

timid bronze
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Breakup ofc wtf waxing your leg is so god damn painful 😭

stone ferry
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I have never waxed my legs

latent edge
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yeah me either

stone ferry
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I take that to see what I look like, now I'm curious

timid bronze
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I mean me neither but it's extremely painful from what ik

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I refuse to fucking wax

stone ferry
latent edge
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dont you like wax for special occasions or something

timid bronze
latent edge
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something something shaving is bad for girls something something

timid bronze
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Shaved my whole life , nothing has happened 🥀

latent edge
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yeah it's probably an old thing idk

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I often hear it makes your hair more manly when it grows up

frigid stone
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then shave again

timid bronze
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That's a myth

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Your hair doesn't grow thicker

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Xd

latent edge
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yeah figured

timid bronze
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Also how does that equate to manly

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People are weird 😣

latent edge
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indeed

timid bronze
deep mango
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we dont have to, we can tomorrow

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rolls eyes

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but i can now

timid bronze
deep mango
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but i cant be loud cuz

timid bronze
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Ohh

deep mango
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my roommate is going to sleep soon

timid bronze
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I mean up to you

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I don't wanna risk waking up your roommate

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So tmrw works as well

deep mango
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ill have headphones in... i can just be quiet

timid bronze
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You always miss a slap on 6

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🥺

foggy meadow
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hi

deep mango
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ill slap you

timid bronze
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Ok..

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Fuck off

deep mango
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im opening blox

timid bronze
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Ok

timid bronze
timid bronze
stone ferry
# timid bronze What is your genre of music

bizarre. lots of rap, but mainly underground stuff. xxxtentacion would be the best known of that genre. A whole bunch of electronic music, primarily Witch House, but I also go through phases of listening to breakcore, dubstep, hyperpop, or other misc. things. Lately I've been listening to more black metal, mostly old stuff like Emperor.

jagged forge
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or maybe just worn down in general

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i don’t get much sunlight and i observe the effect so clopencry

stone ferry
jagged forge
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i’m not too much into hip hop, but for some reason this one song he showed me still lives in my head all these years later https://youtu.be/4gAZVTkMIwE

Blue Scholars - Seijun Suzuki
Cinemetropolis
Official Release Date - June 14, 2011

You still may be to get it here:

http://www.kickstarter.com/projects/bluescholars/cinemetropolis-blue-scholars-signs-to-the-people

For more info:

http://bluescholars.com/cinemetropolis/

How did I get this before hand? Well, I pledged 10 bucks, ...

▶ Play video
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catchy stuff

stone ferry
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will listen once I'm back from water hell

jagged forge
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water… hell?

stone ferry
jagged forge
stone ferry
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yeah I mainly meant soundcloud but this song is going on the list

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I'll check out the album

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I mean, soundcloud rap somewhat evolved from this as well

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$uicideboy$ started out handing out CDs before they became some of the first soundcloud rappers

timid bronze
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Interesting though

stone ferry
timid bronze
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Noo

jagged forge
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i guess vinyl kinda plays that role for most people

stone ferry
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yeah in that sense I guess they're like blu ray

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around for a while but not long enough to replace the older physical format before we moved online

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vinyl will always be more iconic to collectors

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CDs are just more practical

frigid stone
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with vinyl you get flac files too

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usually

jagged forge
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tbh i have a hard time differentiating above 128kbps

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and i have a decked out audio setup

frigid stone
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yeah but flac is useful as you can play it anytime

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no need to set up vinyl

jagged forge
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oh, you mean like you can keep the flac files

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makes sense

jagged forge
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that would be so sick

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i’m looking for things to fill my apartment with

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o god it’s probably so expensive tho

stone ferry
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yeah that's a thing

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and yeah it's expensive

frigid stone
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you can buy them used

stone ferry
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I'm not that kind of person, I'm more utilitarian with music I guess

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I love bones' philosophy of "please pirate my music"

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he met someone selling bootleg merch of his and bought some

frigid stone
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I saw them extremely cheap today

timid bronze
frigid stone
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but I don't have a turntable

timid bronze
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Lmk what you think of it

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(If you want to listen to it that is)

stone ferry
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.remindme 12 hours

quasi jettyBOT
timid bronze
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Fair

stone ferry
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ye, gn, thanks for the music recommendations yall

stone ferry
neat lintel
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Lemme just say, I like mathematics. But this server is too big for me. Thank god when I leaked my concept for a fibonacci spiral ||HA! You're not getting my secrets|| everyone ignored it. Not trying to be rude, but I am leaving this server. I don't hate it. I just don't get much from it. Goodbye.

fresh comet
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take care Wave

turbid sedge
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😭

raw cedar
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AHHHHHHHH

placid shadow
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Are there infinite ways for x+y to equal 1?

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I mean like 1+0=1, 0.5+0.5=1, etc

old oak
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Depends on the set in which you're looking for x and y

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If x and y are allowed to be any reals or rationals, then yes

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Integers, even

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If x and y have to be natural numbers, then no

placid shadow
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10+(-9)=1

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Interesting! Tysm

placid shadow
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I can’t think of any other naturals that add up to it.

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How about 100? You can have 60+40 but you can also have 50+50, etc. is there a generalization for this or a formula?

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99+1 also works. Do the number of solutions grow exponentially for every digit added to the right hand side?

placid shadow
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I don’t see why though, doesn’t probability have like a formula for the combinations or orders or like permutations or something of sets? Like 2,3,4 being arranged differently and counting how many possible combinations there are for 3 different numbers

placid shadow
true zinc
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it turns out the ideas for getting sums to add to something

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is funny enough way more complicated

placid shadow
placid shadow
# true zinc

Are the number of solutions known for big digits

placid shadow
placid shadow
# true zinc

A number like 4 has 5 partitions, I meant like is it known for big numbers too?

true zinc
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A lot of these number theoretic objects require asymptotics

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also I don't know enough to explain exactly why we need asymptotics for this

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so I'll leave it to someone more experienced in this stuff

placid shadow
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Also, for big numbers can you cheat a bit by saying that it’s the sum of smaller partitions? Like since you already know that 4 has 5 partitions then you can use that fact for bigger numbers?

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If that’s a thing?

placid shadow
true zinc
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so normally

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when we say something grows "asymptotically"

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it means it grows bounded asymptotically by some other function

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so like

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uh

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If i say f(n) ~ O(n^2)

placid shadow
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Oh, I haven’t learned that before.

true zinc
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It means that f(n) grows "similarly" to a quadratic (up to a suppressed multiplicative constant)

old oak
true zinc
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Sorry if my explanation sucks, I usually think of asymptotics directly in terms of algorithm analysis

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so I don't deal with it in the standard mathematical way much

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Yeah outsider explained it way better than I did

old oak
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So "for very small x, e^x is pretty much 0" is an asymptotic statement

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As is "for x close to 0, sin(x) is about equal to x"

unborn meteor
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i read this as transphobic statement

old oak
placid shadow
old oak
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Not really (also I'm not sure what you mean by sin not having an end)

old oak
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I didn't even enjoy Harry Potter all that much

silent junco
placid shadow
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The function

true zinc
placid shadow
unborn meteor
old oak
unborn meteor
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ohh sorry

placid shadow
silent junco
unkempt moat
old oak
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Yes, "small" probably wasn't the best word there

placid shadow
true zinc
unkempt moat
old oak
# placid shadow Oh

Yes, you will usually have different asymptotic descriptions for different "regions" of interest

placid shadow
old oak
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for x close to 0 you have the asymptotics of sin(x) ~ x; for very large x you don't have much other than just being able to say that sin(x) is bounded by a constant (that constant being 1)

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That's still asymptotics and occasionally helpful

placid shadow
old oak
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So zooming out very far you basically see a horizontal line

true zinc
placid shadow
true zinc
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This is what tangent line approximations are all about

old oak
true zinc
old oak
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ANd indeed, if you zoom in very close on the graph of the sine function, it will look pretty much like a straight line, wherever you choose to zoom in.

placid shadow
old oak
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The slope of that line will differ depending on location

unkempt moat
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I think introductory limits are best approached with intuition
Like just think what happens as x gets smaller
e is gonna be divided by a larger and larger number
So it’s gonna approach 0

placid shadow
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But doesn’t that apply to any function? Including exponential ones? Where if you zoom in it looks like a linear function?

old oak
unkempt moat
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as for sin we know sin is continuous and defined at x=0 so intuitively the limit as it approaches 0 will just be sin(0)

old oak
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For a simple example where it doesn't happen, consider the absolute value function; the graph y = |x| doesn't ever look like a straight line if you zoom in around the point (0,0)

true zinc
unkempt moat
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Idk if that chain of reasoning actually holds in general but I imagine it might

true zinc
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as an example where sometimes tyou may not have limits exist

true zinc
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Or the absolute value function as outsider said

true zinc
placid shadow
silent junco
true zinc
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|x| has no derivative at 0 though if I recall

unkempt moat
true zinc
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wait cont. is a weaker condition

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oops

old oak
unkempt moat
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Differentiable

old oak
placid shadow
# old oak

But the absolute value function is itself linear? Isn’t it funny that it doesn’t look like one?

silent junco
old oak
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No matter how much you zoom in, you will see this right angle

placid shadow
true zinc
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Recall that the absolute value function is defined as:

x if x > 0
-x if x < 0

old oak
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It's two linear functions "spliced" together

true zinc
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there is no definition at 0

fresh comet
unkempt moat
placid shadow
placid shadow
placid shadow
old oak
unkempt moat
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yeah isnt abs defined as sqrt(x^2) and the piecewise is just a natural byproduct of that

true zinc
placid shadow
# old oak

Only with a piecewise function can you define 0?

old oak
true zinc
#

say for example

old oak
placid shadow
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Like for x is greater than or equal to 0 you have x and for x is less than 0 you have |x|?

placid shadow
old oak
placid shadow
old oak
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So if x is positive this is just x, and if x is negative, then it's -x, because the distance between -7 and 0 is 7 units

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And the absolute value of 0 is 0, since that's the distance from 0 to itself

placid shadow
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f(x)={x, for x>/= 0 and -x, for x<0}?

true zinc
old oak
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Sure, that's a very common definition of absolute value

placid shadow
old oak
#

sqrt(x^2) also works but requires you to also know what a square root is, and that it always exists for nonnegative reals.

fathom swallowBOT
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James [It/Its] (TCC)

old oak
true zinc
placid shadow
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I see!

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Okay

old oak
silent junco
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wheres the typo

unkempt moat
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WAIT

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nvm

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I just am the silly

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MY BAD

silent junco
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happens to the best of us

placid shadow
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Was I a smart kid for thinking of factorials before I even knew their existence? I couldn’t sleep at night because I had to have the light on as a kid because I’d be too scared to sleep without it on and so sometimes I’d just stay awake like an insomniac and think of the possible amount of arrangements for any given numbers @true zinc

unkempt moat
placid shadow
unkempt moat
#

great minds think alike that’s what they say

placid shadow
true zinc
placid shadow
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Like red blue and yellow

unkempt moat
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I don’t remember the specific contexts but I know that like basic linear systems and combi were very largely present in things I did as a child in order to figure certain things about eeveethink

unkempt moat
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mostly just like linear equations or systems to figure out when something did or would happen and then nCk to do what nCk does holojollychristmas

true zinc
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({n \choose k} \coloneq \frac{n!}{k!(n-k)!})

fathom swallowBOT
#

James [It/Its] (TCC)

old oak
# placid shadow What’s nCk

The number of ways you can pick k elements of an n-element collection (of distinct elements); so for example 4c2 is 6, because if your 4 elements are {A,B,C,D}, and you want to pick two letters out of those four, you can do it in 6 ways: AB,AC,AD,BC,BD, and CD

#

As James demonstrates, there's an explicit formula for that, involving factorials.

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"Choosing k out of n options" is an operation that shows up in a lot of contexts, which is why it has an own symbol and its properties are very well-studied

unkempt moat
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Yeh

placid shadow
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That’s insane! Thank you for the reply

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I’m utterly fascinated.

magic python
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Regular discussy too adult for my lack of wisdom rn >~<

unkempt moat
magic python
#

It's safer for me in backup :3

mystic raft
celest python
#

nightmares ahh

old oak
mystic raft
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Sorry, meant to forward

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My bad.

timid bronze
#

Did you watch GFs?

deep mango
placid shadow
main notch
quasi jettyBOT
timid bronze
timid bronze
#

Hard to find GF watchers nowadays

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Do you have have a favorite episode

placid shadow
magic python
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:3

deep mango
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or the first bill one where they go into stans head

placid shadow
placid shadow
magic python
#

Oh wait gravity falls mentioned?

placid shadow
magic python
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:3

placid shadow
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I binged watched season 1 recently on youtube with disney's channel.

magic python
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I hate Disney bc of what they did 🥀 and other horrid things but yeah

placid shadow
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Oof

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Yea

magic python
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Weren't they insanely bigoted towards the production team of TOH and that's why it got cut short?

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I think one of the people went to work with glitch though

placid shadow
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Oof :<

timid bronze
#

Hmm

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My fav episode would have to be The Truth About Grunkle Stan

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The episode where Mabel is unsure if she should press the button or not

placid shadow
placid shadow
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I haven't rewatched season 2 yet :<

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So my memory is foggy about it.

placid shadow
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Btw the first time I watched the show it was with my sister, and she's basically my twin >w<

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We're not bio twins or anything but we're twinsies

timid bronze
# placid shadow Is this in season 2?

This is a clip of the episode (the part I loved the most) https://youtu.be/81_dKa-g2d0?feature=shared

Grunkle Stan reveals to Dipper, Mabel, and Soos a shocking truth!

Watch Gravity Falls on Disney Channel! And check out more Gravity Falls videos here: https://youtube.com/playlist?list=PLA275A88F4FE74A15&si=ekR0EDNwoxDH6cxl

Gravity Falls Full Episodes Available on Disney+
https://ondisneyplus.disney.com/show/gravity-falls

Twin brother and si...

▶ Play video
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It’s so emotional 😭

placid shadow
timid bronze
#

I’m an emotional girly so I will love emotional scenes!

deep mango
#

the episode where they're inside mabel's creepy ass bill world

magic python
#

:3

timid bronze
placid shadow
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Why must C' be at either intersection of the two radii?

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Knowing that every segment in both triangles are congruent.

magic python
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I like how the creators of GF are keeping it alive tho

placid shadow
#

Show ended tho

timid bronze
#

Mabel’s world though when Bill trapped her is so real however

magic python
#

Yeah 3:

timid bronze
#

I want to live in a world like that .

placid shadow
magic python
#

I outta rewatch it one day

timid bronze
timid bronze
placid shadow
placid shadow
magic python
placid shadow
#

Do yk TAWOG?

timid bronze
#

Fr, ik people will disagree, but I wish there were more seasons

timid bronze
magic python
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I don't know why they stopped it

placid shadow
magic python
#

But it's probably because the lore kinda came to a halt, it would feel forced

timid bronze
#

Not bc I didn’t like it but bc

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My parents didn’t put it on TV a lot

magic python
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Isn't it massive

timid bronze
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It def is

placid shadow
magic python
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Like didn't a new season come out on hulu

placid shadow
placid shadow
timid bronze
magic python
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I heard a new season came out after almost 7 years although I could be mistaken and just hallucinated watching a video saying it

placid shadow
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Including me

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I haven't watched the final season though

magic python
#

My mental state was not good for the past week so I could've just made it up

timid bronze
#

Girly’s saying it’d piss her off yet she didn’t see the final season..

placid shadow
timid bronze
#

So I don’t know how to explain

placid shadow
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Thats okkk!! And I figured it out!!

magic python
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If I didn't imagine it the person said it had better writing than previous seasons, and it would've been 20 episodes

placid shadow
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I figured out intuitively, but I bet like euclid himself or something has like 5000 proofs for it

timid bronze
placid shadow
timid bronze
#

Not going to spoil so this might be your encouragement to watch

timid bronze
#

Hehe

placid shadow
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I wasn't into the ice cream girl

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she was annoying

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stalking the main characters and stuff, that was so annoying to me

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She was really creepy

timid bronze
#

Wait who is the ice cream girl

placid shadow
timid bronze
#

Can you describe the hair color

timid bronze
#

OHH you’re talking about gumball

placid shadow
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Yea

timid bronze
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I thought you were talking about GF

placid shadow
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Oh yea you haven't watched it much.

timid bronze
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😂

placid shadow
teal tree
#

m'discussy2

timid bronze
mystic raft
#

Hello guys (and girls), what are we chatting about right now?

timid bronze
#

If so, that’s valid 😭 😭

magic python
#

Stuffs

placid shadow
timid bronze
#

For moreeee

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Jk that’s valid

placid shadow
placid shadow
timid bronze
#

They def not going to release another season anyway

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Y’know what I want another movie of tho

placid shadow
placid shadow
timid bronze
#

Ratailloue .

placid shadow
#

I thought there was a rataoutle 2?

timid bronze
#

I don’t think so

#

I thought those were jokes

#

😭

placid shadow
timid bronze
#

Have you heard of those movie theaters where they serve you the food in the movie

#

I want that for Ratatouille so bad

placid shadow
timid bronze
#

IKR

ocean harbor
placid shadow
little nova
#

Hello

zealous garden
ocean harbor
#

@wise bloom when are you charging your pfp?

wise bloom
#

:>

#

i am 21

#

maybe when i get married lmao

#

i do dc for fun so maybe i will just leave after some years and never comeback

#

moreover i am a chem e major

#

pursuing chem e

#

when i would get a job most probably leave this cause chem e work is intensive and we have to work our assess out in chemical plants or chemical industry

rocky shuttle
#

rush e

dim stirrup
#

the HELL is that discord tag 😭

ocean harbor
# wise bloom never

its just a pfp i gave you a long time ago, but im no longer comfortable with you using it. it represents me, and since you havent changed it, its causing confusion and comments from other people. im asking you to please stop using it and do your own thing by changing your pfp. its a simple request.

im only saying this because im not using smiley emoji anymore, and ive been getting dms where people think im referring to you, which just makes things worse. i would appreciate it if you did change it.

wise bloom
wise bloom
#

@ocean harbor are you cool or happy now

#

,av @wise bloom

fathom swallowBOT
#
oppailol.'s Avatar

Click here to view the image.

deep mango
#

HOLY FUCK ITS BASED TODO

#

oh

versed frost
#

oppailol remains a legend

deep mango
#

wrong channel

wise bloom
#

but nevermind

ocean harbor
wise bloom
#

No problem you yourself gave me that pfp

ocean harbor
placid shadow
#

Geometry on Khan Academy is so much fun!

placid shadow
worldly horizon
placid shadow
worldly horizon
#

-# jk i don’t actually use it

placid shadow
#

Khan Academy or geometry?

worldly horizon
#

Khan academy

#

i did in first grade though

placid shadow
#

Ah, it's soooo good trust me!

placid shadow
sour jay
worldly horizon
worldly horizon
sour jay
#

as in if (a,b) then also (b,a) is symmetric

placid shadow
placid shadow
# worldly horizon Symbol soup. It really confuses me.

Ah that's totally fair and valid! It's not to me though because every letter, every symbol, has a purpose and it's all part of constructions to make statements that are really beautiful to me, such as saying that two different shapes must logically be the same as each other.

worldly horizon
placid shadow
#

But I guess some people aren't that interested in triangles and whatnot, not to put you as part of that group because I don't know if you dislike triangles but like yea a lot of people don't really enjoy geometry they think it's boring or something

sour jay
#

do you want some fun but sort of easy geo problems

placid shadow
#

Yea sure!

#

Does anyone know what this star symbol means and is read as?

foggy meadow
#

I love discrete calculus.

sour jay
#

let there be two circles C1 C2 with C2 being completely contained in C1 (they are not touching), let there be a variable circle K which touches both C1 and C2, what's curve that the centre of this variable circle traces out?

and another one
Let there be a circle C, and it's longest chord D, perpendiculars are dropped from all points on C to D in a fixed ratio, what curve do you get when you combine all points which internally divide the perpendiculars in that fixed ratio

sour jay
placid shadow
#

The star symbol?

sour jay
#

No, I don't think so

placid shadow
#

Ok ty

sour jay
#

this is just to aid the explanation

placid shadow
sour jay
#

No, the perpendiculars at the ends of the diameter wouldn't allow that

vapid otter
placid shadow
placid shadow
placid shadow
sour jay
true zinc
foggy meadow
#

I also love box filters.

sour jay
#

the question asks what's the curve traced out by that fixed point

placid shadow
#

Like this?

sour jay
#

in some arbitrary fixed ratio

sour jay
#

like if you have a segment AB, to divide it into fixed ratio of 1:2 you would define C such that
AC:CB is 1:2

placid shadow
placid shadow
foggy meadow
#

a cool kernel for doing Integral transforms I'm pretty sure.

placid shadow
foggy meadow
#

Yeah, I was looking through the rendering book I have and they came up.

#

Also, I forget a lot of math I know is used in rendering a lot.

#

And finite stuff in general.

placid shadow
#

@sour jay Is the image in #chill not just a midpoint?

sour jay
#

No, a midpoint divides exactly in the middle

placid shadow
placid shadow
sour jay
#

this point divides in a specified ratio

#

like 1:2 or 45:922 or 2:3

foggy meadow
placid shadow
foggy meadow
#

Also, a lot of the weird stuff I do stems from computer graphics.

placid shadow
sour jay
placid shadow
placid shadow
sour jay
#

considering those lines divide it equally

sour jay
placid shadow
#

The distance between a and B is twice the distance between A and a

sour jay
#

correct

placid shadow
#

I see

#

And the initial question you posed is of random ratios?

sour jay
#

since we're interested in the shape of the curve and not its specifics, you can assume any random ration of m:n throughout the whole problem

placid shadow
#

Does it have to be consistent for every line segment?

sour jay
#

yes

placid shadow
#

Oooo

#

Does this make an ellipse then?

sour jay
#

yep

placid shadow
#

Wowwww

#

That's really cool!

#

Is there a proof to this?

sour jay
#

yeah

placid shadow
#

Can I see?

sour jay
#

you can try yourself but the easiest route is coordinate geometry imo

placid shadow
#

What's coordinate geometry?

#

Is it just algebra?

sour jay
#

i can come up with coord geo proof if you want

placid shadow
#

If you don't mind!

sour jay
placid shadow
#

I see! That's really cool.

#

Is this how the ancient Greeks invented the ellipse?

sour jay
#

Hmm, I'm not sure actually but I think they would've got to it by the focus property, that if you fix a untaut string between two points and then trace a curve such that the strings are taut, it forms an ellipse

placid shadow
#

Omg I've seen something like that

#

Strings and forming an ellipse

sour jay
#

Assume a circle situated at the origin with radius a, a point on the circle can be parametrically given as (acost,asint)
Let this be point P, now from P drop a perpendicular to the diameter with it's foot K given as (acost,0), let it be divided into a fixed ratio 1:m
Now this point of internal division can be given by ((acost+macost)/m+1, asint/m+1)=(x,y)
(acost,asint/m+1)=(x,y)
x=acost
y=asint/m+1
x^2=(acost)^2=a^2 (1-sin^2t) = a^2 - a^2sin^2t
(m+1)^2 y^2 = a^2 sin^2t
x^2=a^2-(m+1)^2y^2
x^2+(m+1)^2y^2=a^2
(x^2)/(a^2)+y^2/(a/m+1)^2=1
let (a/m+1)^2 = b^2
x^2/a^2 + y^2/b^2 = 1
which is the standard equation of ellipse

#

sorry it's a little messy :p

placid shadow
#

I was just reading about this, like to find more about an ellipse

sour jay
#

hmm yes

sour jay
#

you should really learn coord geo, it's fun

placid shadow
sour jay
#

if you're looking to get into math olympiads usually geometry has decent weightage, albeit it can be more axiomatic but sometimes you can really shave off time by bruteforcing it via coord geo or complex bashing

placid shadow
#

I see

#

Tysm

#

Do you know if complex analysis studies ellipses a lot?

#

I want to learn complex analysis someday.

sour jay
#

me too fr

placid shadow
#

Yessss

#

Have you gotten into any math olympiads?

sour jay
#

No, it's my last year and I forgot to apply opencry

placid shadow
#

I don't think it's my thing, though I'd probably love to solve some of the interesting questions inside of it if I find any (I haven't seen much).

sour jay
#

I might get into the chem olys

sour jay
placid shadow
#

This is really cool!

placid shadow
placid shadow
sour jay
placid shadow
sour jay
#

you'll get to apply all of this once you do a CM course and get to kepler's laws fr

vast wraith
placid shadow
#

cool!

latent edge
#

@junior turtle

junior turtle
#

I am doing CA rn too

#

what a coincidence

latent edge
# junior turtle vro is reviewing CA

Your math level is dogshit. You think you are so smart for doing Algebra 2, but the truth is you don’t even do topology, number theory, or differential geometry, which is honestly embarrassing. If someone handed you a tensor, you would probably stare at it like it is an alien artifact and ask where the eraser is. You wouldn’t know a Riemann surface if it slapped you in the face, and algebraic geometry? You probably think a sheaf is just some trendy new cereal. Einstein needs a billion stars to get you to tackle kindergarten math theories, and your professors want you to drop the class before you even enter. You strut around like you have conquered advanced math, but let us be real; you are still struggling to grasp basic calculus, and it is astonishing that you have not “solved” Fermat’s Last Theorem by trying to divide by zero as if that would somehow make you a genius.

#

Actually where did you get this copypasta @timid bronze

#

This is beautiful

junior turtle
latent edge
timid bronze
latent edge
#

I just looked up copypasta

timid bronze
#

Anyways ChatGPT ☠️ I just gave it such a prompt

latent edge
#

and saw this

#

LMFAO

#

I guess GPT cooked on this one

unkempt moat
agile fiber
#

top left gang theory reference??

unkempt moat
#

So idkcat_uwu

sonic sentinel
# latent edge Your math level is dogshit. You think you are so smart for doing Algebra 2, but ...

when terence tao was just age two, he walked into a college campus and saw a student struggling with their homework. he asked the student what's wrong, "i can't figure out what method to use for this differential equation" he said. he walked the student through each step of the problem, demonstrating exceptional problem solving and teamwork capabilities. the student says at the end "thank you, if it were not for you, i might have failed this course". that man later grew up to be albert einstein. #genius #inspirational #opentowork

latent edge
#

sotrue

timid bronze
#

I’ve only seen the first movie

#

I need to watch the second one so bad plus my friend is holding me at a gunpoint to watch it

#

But I keep procrastinating..

magic python
timid bronze
#

🥀

magic python
#

HOW DARE YOU CALL ME OUT SO HARD

placid shadow
placid shadow
unkempt moat
unkempt moat
magic python
#

Grrrr

unkempt moat
#

3meow + 1 = cute

magic python
#

Hey atleast I'm only like 2 of thos

#

Technically three

unkempt moat
magic python
#

Title, arguably the jargon, and CC 🥀

#

I do tend to use some words I don't quite grasp the full definition of

unkempt moat
#

does the title count pandathink

magic python
#

Yes.

#

The first part

magic python
#

Shouldn't have used LGBT terms 🥀

unkempt moat
magic python
#

Oh how innocent I was when I tried explaining what bi was 🥀

latent edge
# magic python Title, arguably the jargon, and CC 🥀

I do not solve math problems. I identify their universal properties and let the answer exist by necessity. While you compute element wise, I reason functorially, where proofs commute on sight and errors vanish up to natural isomorphism. If it does not generalize to an arbitrary category and survive adjunctions, it is just arithmetic. You calculate. I categorify.

magic python
#

Imagine if I was like that I'd be blocked by atleast ten times more people

timid bronze
#

My multivariable class actually had no homework

#

No homework lowk pisses me off

magic python
#

Who the helpers or the cranks

timid bronze
#

Cranks

#

I don’t remember ever opening up a help channel

#

I just ask friends in DMs 😭

magic python
#

Phew

dim stirrup
#

define unicorn as a horse with a horn that exists. by definition, a unicorn exists

timid bronze
#

There's no way it's deadass 2026 in a few days
Years and months always pass by fast to me but weeks feel like an eternity 😭

#

I think I agree with you. I’m not claiming the truth is always in the middle, just that compromise can be useful

vernal token
timid bronze
dim stirrup
#

every year feels like 3 separate periods. 4 months from the previous semester, 4 months for summer, and 4 months for the new semester.

unkempt moat
#

Yeah basically

#

I subdivide those tho

#

like January-February then March-may then June-August then September then October-December

#

Aprox

timid bronze
#

I only subdivide June-August from the rest ngl 😂

dim stirrup
#

does it ever hit you that you've only lived one quarter of your life and it's all been spent studying and grinding 🤔

placid shadow
#

Math is so much fun!

dim stirrup
#

I wish we did more geometry in school. we only do it in middle school and forget it even exists in high school

slim musk
#

Hey

proven meadow
#

Yuh

latent edge
#

This is getting annoying

#

<@&268886789983436800>

stone ferry
latent edge
#

It's gone

#

Someone was spamming

stone ferry
#

ah okay I'm just slow then

timid bronze
#

I saw this $150 dollar hair clip on TT

#

Why is it so expensive?

#

Did Elon Musk shit on it ? 💔 🥀

dire robin
#

Hello second discussiers

vast wraith
#

hii

dire robin
#

Omg hi Jen you ran here too

vast wraith
#

yeah the nixos mention is what took the cake for me

dire robin
#

What’s wrong with Nixos?

vast wraith
#

guh

dire robin
#

What…

dire robin
hardy iron
#

As opposed to e.g. Arch

#

Fedora (Silverblue) is another good option

dire robin
dire robin
vast wraith
#

where is discussion-3 when i need it

dire robin
vast wraith
timid bronze
dire robin
#

I actually don’t know what to talk about when there aren’t 10 other more sociable people driving the discussy so uh I’ll have to go back

dire robin
#

Ehat do you guys think about mlp

vast wraith
#

i have been told i should watch it but i havent sippy

dire robin
timid bronze
#

I'm not a huge movie or show watcher cuz I have a short ass attention span

#

😭

dire robin
#

I can watch movies but I don’t usually finish shows

#

Or books

#

Like the longest book I fully read was only 100 pages yet the furthest I’ve gotten in any book is 300

vast wraith
timid bronze
timid bronze
#

My ADHD will not let me

dire robin
timid bronze
#

I need to be on meds for me to read lmfao

dire robin
#

At least with a good ending

#

I need adhd meds

timid bronze
dire robin
#

My parents refuse to get me to get it diagnosed at least

timid bronze
#

Maybe you could do that

dire robin
#

I’m in hs so

vast wraith
true zinc
# dire robin What’s wrong with Nixos?

The devs of NixOS are military industrial complex shills and have gotten NixOS used in american missiles

The developers of Guix are related to GNU and we all know how shit Richard Stallman is, even though his wish to make FOSS more common is amazing

Fedora Silverblue: Well it's fucking fedora, the most corporate Linux in existence

vast wraith
timid bronze
#

Yeah I remember that, it's going to be a wait sadly. Though you get a lot more freedom in college

timid bronze
dire robin
#

The last one i watched was I saw the tv glow and it is not happy by any fucking means

vast wraith
#

one sec

true zinc
#

Also NixOS is just basically a cult (in the layman's terms not the literal ones) at this point

#

It's just a massive echo chamber where on top of that you have to read awfully written nix source code to understand anything because nothing is fucking documented

vast wraith
# vast wraith idk probably… actually yeah i did the other day !!

i love this movie so much 😭😭😭😭😭 https://en.wikipedia.org/wiki/Three_Wishes_for_Cinderella_(1973_film)

Three Wishes for Cinderella (Czech: Tři oříšky pro Popelku; German: Drei Haselnüsse für Aschenbrödel, also called in English Three Hazelnuts for Cinderella or Three Gifts for Cinderella) is a 1973 Czechoslovak-East German film based on the fairy-tale Cinderella.
It was directed by Václav Vorlíček in a co-production between DEFA-Studio ...

true zinc
#

Like one of my friends uses nix and they spent the time to set it up, good for them, it's absolutely not for me

vast wraith
#

is nix still all bash script girlbleak

true zinc
#

Also some of the devs are just really really shitty people

true zinc
#

which isn't even documented

timid bronze
timid bronze
#

When will I ever hear about a good dev? 💔

true zinc
#

Most devs are genuinely pieces of shit

#

even people who say they're good

#

I include myself when I say that

dire robin
true zinc
#

Anyway

#

the point is

true zinc
dire robin
#

As in that sense

true zinc
#

but yeah it was BAD

timid bronze
#

But if you’re trying to become a better person and learn from your mistakes then that’s what matters

true zinc
#

but as far as shit programmer: I rarely care about the memory usage of my software, I don't care about how well my stuff runs, I take shortcuts all the time in my code, my code is poorly documented, I don't have enough projects, etc...

#

Also

#

we are uh

#

just coming out of a massive spiral and dissociation episode

#

maybe I'm triggering myself by yapping

dire robin
dire robin
true zinc
#

I shouldn't have opened by beak

#

(yes I'm also a bird, specifically an american crow, james is a red tailed hawk)

viral yew
#

wait you wanted a good one

timid bronze
true zinc
#

I am off to bed

#

goodnight

#

it's 00:10

vast wraith
#

sleep well !!

timid bronze
true zinc
#

and if I don't go by 00:10, my body will not let me sleep, we have a very speciifc window between 00:00 and 00:10 that we will go to bed

#

so

#

I am out

dire robin
dire robin
#

It’s actually really cool because there’s a cannon yuri couple…

latent edge
vast wraith
#

but i guess idk if they’re good people holoapple

jagged cape
hardy iron
timid bronze
viral oracle
timid bronze
#

Do you even like almond milk

#

I hate almond milk

#

I hate milk in general ngl

#

But don’t mind milk in drinks like coffee/hot chocolate

#

I just can’t stand milk by itself

viral yew
#

and it doesn't make my tummy hurt

latent edge
timid bronze
#

Idc if it’s in a drink but

#

By itself… No thx you

viral yew
#

it's important to get brotein

timid bronze
#

Devs that do it as a job obv aren’t aren’t weird but it’s so many of them … 📈📈

viral yew
latent edge
#

yeah figured

timid bronze
#

Celery is so gross

#

One time my mom made celery juice and I gagged

latent edge
#

Also many of them are sexist af

viral yew
latent edge
#

it's kinda disgusting

viral yew
#

but celery good

timid bronze
#

Nah I hate celery by itself too

#

I don’t get the hate for tomatoes or onions

#

I will die on a hill for both of them

timid bronze
#

Saying that with proof

viral yew
#

aw hell nah

#

we dont associate with those fuckers

timid bronze
#

Same with people who befriend those type of fuckers .

#

I also refuse to befriend somebody who is friends with a terrible ahh person

mystic raft
#

I say then think

timid bronze
#

WTF?????

#

I’m no longer going to make statuses if people can enable notifications for this shit

#

😭 🙏🏽

mystic raft
#

WTH is this

mystic raft
#

To express your emotions they say

timid bronze
mystic raft
#

Exactly

timid bronze
#

Have you never took smth funny your friend said and made it your status

#

Like bro

mystic raft
#

I’ve done it based on goofy ahh lyrical music