#serious-discussion

1 messages · Page 333 of 1

quasi jettyBOT
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To ask for mathematics help on this server, please open your own help channel or help thread. See #❓how-to-get-help for instructions.

magic python
wraith magnet
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also

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!trig

quasi jettyBOT
true zinc
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The only person allowed to derogatorily call me autistic is myself

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:P

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I genuinely want to throw things at people who say that shit so casually it's so fucking rude like...eugh

patent phoenix
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My parents agree, but ultimately believe I’ll find a way to make it useful and I really appreciate them for that. My family is squarely in the middle class, and they at least haven’t expressed directly a need for help financially from me. It’s really just my mentors who’ve been pushing this on me. They’re at my school and they’re all engineering phds and postdocs. I assume they see me doing good in physics classes and they want me to get into engineering bc of that, and it’s much more stable, that’s objectively true. I guess I’d like to believe that math is just as stable or not as hard to get a job with than engineering

placid shadow
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@neat lintel There's a whole course in my high school for medical terminology.

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In electives.

neat lintel
neat lintel
# placid shadow XDDD

I have like, a very slapdash and half-forgotten memory of it, but at one point it was really convenient XD
it really is a LOT of info packed into one word

placid shadow
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I used to suck at reading Latin as a young kid but I've seen so many Latin medical words that I know how to pronounce them now even without hearing them before, like Histiocytoma because it's a combination of words that I've heard before.

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Can you do that too with other words?

neat lintel
# placid shadow Can you do that too with other words?

oh 100%, English spelling is weird, but I'm actually an american copyeditor, so like, generally speaking I have a pretty good intuition nowadays for how a word is pronounced, cause I can kinda vibecheck the language sometimes, if that makes sense? I mean I'm sure you too to a degree: like rendezvous is very obviously french, so you don't pronounce some of the letters and such; and anything with cyto is like, yea that's definitely a soft c because that combination just doesn't really show up in any other way

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English spelling is insane though, plenty of people will mispell stuff or mispronounce stuff all the time, it's just kind of a bad system cause it draws from so many languages

placid shadow
neat lintel
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yea nah it's insane, I can't think of a really good example but like, it's rough

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I usually go with like, jean, bean, seen, sean.

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and it's just like, cmon guys lmao

placid shadow
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Otherwise you can only guess.

neat lintel
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if you memorize the vowels though, it's kinda nice

placid shadow
placid shadow
neat lintel
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yea it's pretty awful lol, and it's like, most times you just don't have a reason to use it

neat lintel
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somehow it works, but English really is kind of a dumpster fire lol
the benefit is that omg, it's soooo flexible

placid shadow
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I wish we could like burn English and create a new language that has the least amount of flaws

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y'know?

neat lintel
neat lintel
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I g2g but i want to throw you a random aesop rock line hahahaha, he's got really fancy english sometimes
but all I found that's good is this phrase: two-faced soothsaying

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which pretty much has every flex-y english thing I was thinking of lol

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face -> faced, sooth -> sooth- (as a prefix) in particular. it's just cool how you can just kinda ignore what's "supposed to be" a verb noun or adj

placid shadow
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Interesting!

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Actually, I've never formally learned like verbs and nouns and stuff.

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I always google them but i forget them the next day

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my grammar is just from pattern recognition

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I don't know what a conjugate sentence is or a clause etc

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It never clicks in my head because it requires understanding of previous stuff like verbs etc and i don't know those either

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It feels so circular and like you have to already know it to know what it is :((((

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Like what even is a clause :((( the only clause I know is santa-clause

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11 year old me and today old me can't understand this

placid shadow
neat lintel
# placid shadow It feels so circular and like you have to already know it to know what it is :((...

realistically, it's just this:
if you can put "the" in front of it, it's probably a noun
if you can put "to" in front of it, it's probably a verb
if you can use it to modify something else, it's probably an adjective
But! basically, they can just flex to whatever. You can use nouns as adjectives (firetruck, garage door, model validation assessment review)
you can use verbs as adjectives (the wracked nerves, the thrown ball)
you can use verbs as nouns (the reckoning, the happenings of today)
it just gets so flexible, that honestly, pattern recognition and just remembering shit is just better lmao

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the grammar describes the usage, generally. Sometimes you just say something and people don't udnerstand and it all goes wrong, but realistically, the rules are definitely just guidelines

agile fiber
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you split up a sentence into clauses when you add commas, colons, semicolons etc

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if there are none then the entire sentence is one clause

placid shadow
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Thank you both so much it's definitely clicking in my head now!

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I've seen lots of examples and now I'm remembering them.

placid shadow
neat lintel
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@placid shadow i really g2g grocery shop before the weather gets too cold lmfao but I will slam this to you as just exemplary English. I've tried to write a verse under this restriction, it's impossible to say anything. I think it's really cool https://www.youtube.com/watch?v=BU7m2CNq_9c&list=RDBU7m2CNq_9c

placid shadow
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Tysmmm, and goodbyeee!!! Have a good shopping experience.

placid shadow
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Reminds me of Eminem, I love lyrics/songs with creativity.

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He looks like my uncle 💞

sturdy quarry
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@glossy rock When you are helping, your goal is to make the helpee solve it themselves. So instead of saying sth like "Lance speed = 25km/h" (even if its not the full answer), try asking the helpee to start by calculating lance's speed. If they arent able to do that, try to tell them how.

glossy rock
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yeah

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thats what i did now

sturdy quarry
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and try interacting with the helpee a bit more, not just presenting and explaining the solution

sturdy quarry
junior quail
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I've used Typst for most of my notes, and so far it has worked well. However, I could see potentially difficulties, when I have bigger assignments coming up, which requires ex. specific formalia, which they provide in Tex format (as templates).

Have any of you dealt with issues like these? Or in general using some non-tex:lang?

turbid narwhal
junior quail
knotty pewter
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Anyone know of brilliant.org or know of alternatives? i was doing well with gamified services my school had, but i havent been able to do as well with notebooklm and pdfs of my textbooks and youtube tutorials. I cannot study the traditional way, i know a level maths is meant to be hard but its been 3 months of cutting things out of my life and i still havent gotten to where i should be in terms of studying.

lunar marsh
knotty pewter
lunar marsh
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Abstract algebra?

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Or linear algebra? Or high school?

knotty pewter
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linear algebra

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im in year 1 of a levels and its about to get hard but i barely made it past gcses

lunar marsh
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Have you looked at Gilbert strang’s linear algebra YouTube videos?

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Sorry, I’m us based. What’s gcses?

knotty pewter
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ah so like

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16 year olds exams

lunar marsh
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Ohhhh okay. So now I get it. You’ve had calc though right?

knotty pewter
knotty pewter
lunar marsh
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So for high school level algebra, the best place for me to learn it was Eddie woo on YouTube. But honestly, that stuff is a lot of rote practice.

slow pier
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Anki works for me but it is only beneficial if used very correctly and helps form high level reasoning, using it for low rote level learning would be detrimental ig. I wouldn't use it for high school level stuff.

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Nothing replaces problem solving though

lunar marsh
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Right. You just gotta solve a ton of problems.

slow pier
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Make problem solving itself fun

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It is actually fun too

knotty pewter
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i was thinking of gamified services because ive been trying to follow textbooks and youtube and yeah im struggling because ai isnt able to make the same questions seneca (the platform i used for 5 years, i used alternatives alongside and before that) is gone

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lowkey school brainrotted me

lunar marsh
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Gotta train yourself to get that dopamine hit from solving a problem correctly.

knotty pewter
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easier said than done

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its not just that, im really burn out too

slow pier
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Start with a topic you find interesting

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Go slow

knotty pewter
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but i have so many exams and other stresses, its hard to 'loose yourself' if you get me sometimes? how do you manage that if you dont mind me asking.

lunar marsh
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Burn out is real man. It sucks. Everything @slow pier is saying is correct though.

slow pier
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The best way imo to deal with burnout is to just slow down, take a breath. Hassle free learning is the best kind

lunar marsh
slow pier
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But I see your time constraints

knotty pewter
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i never used like short form video, quit cycling and all of that stuff. its like im basically glued to my chair for the past few months but nobody said this was going to be easy i guess

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thanks for the advice so far, i have to sleep for exams in a few hours but hopefully i can pull this of

slow pier
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You should read Deep Work when you have time later

knotty pewter
lunar marsh
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WTH is deep work🤣🤣

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I feel so old

ocean harbor
royal crane
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hey chat

lime vapor
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what guys do you want for Christmas?

pure sapphire
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Some girl is ragebaiting discussion 1 so I'm here

pure sapphire
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Stoppp

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🙁

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😠

noble tinsel
# ocean harbor https://tenor.com/view/epix-image-perms-gif-20444679

AM went into my mind. He walked smoothly here and there, and looked with interest at all the pock marks he had created in one hundred and nine years. He looked at the crossrouted and reconnected synapses and all the tissue damage his gift of immortality had included. He smiled softly at the pit that dropped into the center of my brain and the faint, mothsoft murmurings of the things far down there that gibbered without meaning, without pause. AM said, very politely, in a pillar of stainless steel bearing bright neon lettering: HATE. LET ME TELL YOU HOW MUCH I'VE COME TO HATE YOU SINCE I BEGAN TO LIVE. THERE ARE 387.44 MILLION MILES OF PRINTED CIRCUITS IN WAFER-THIN LAYERS THAT FILL MY COMPLEX. IF THE WORD "HATE" WAS ENGRAVED ON EACH NANO-ANGSTROM OF THOSE HUNDREDS OF MILLIONS OF MILES IT WOULD NOT EQUAL ONE ONE-BILLIONTH OF THE HATE I FEEL FOR HUMANS AT THIS MICRO-INSTANT. FOR YOU, HATE. HATE.

median pond
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hi

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i drew my casio classpad II

lost spruce
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it snew

noble tinsel
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neuron activation

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🧠

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🦌❄️🐤🧊

lost spruce
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berdly is a blue bird

noble tinsel
lost spruce
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oh shit

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:blue_bird:

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huh

candid nebula
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@everyone

slow pier
serene vault
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nice try...?

old oak
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If you're going to be an asshole, be an original asshole; is that too much to ask?

fluid moat
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I am in a bit of a very difficult situation at least for me. I would like to talk to someone, that maybe has a PhD in math, or is a PI, or a professor, or a career/life advisor. I can write it here but it would be a wall of text.

real pumice
fluid moat
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I’m about to start a fully funded PhD in mathematics in about 4 weeks, and I’ve never been this anxious in my life.

I feel like I somehow cheated the system by getting this offer. I’m not the smartest student, I was never top of my class, and my grades were very average (roughly a 3.5/4.0, equivalent to a UK 2:1, converted from my country's grades). I was also honestly kind of lazy during parts of my degree. I didn’t grind all the time, and I definitely wasn’t one of those people who lived and breathed math 24/7.

I got the PhD offer partly because my prospective PI works on essentially the same topic as my MSc thesis, and he actively wanted me in the group. Also I have a feeling, due to how late I got the offer, that I wasn't the first choice, and I got one only because someone else withdrew/refused. Emotionally, it still feels like I just got lucky and slipped through.

On paper, the situation is good. I like the research topic, and the PI seems genuinely kind and supportive (his previous PhD student spoke very highly of him). I also know that for the kind of career I want (industry research / applied research roles, not academia) a PhD is almost a requirement.

And yet, now that everything has become real very fast, I’m falling apart. (cont)

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A year ago I couldn’t wait to go. Now I’m not even sure this is the right choice anymore. I’m trying to understand whether this is just anxiety about traveling, leaving my comfort zone, and changing my life so abruptly, or whether this is my brain genuinely saying “stop, this isn’t right for you anymore”.

Sometimes I catch myself thinking: if I didn’t have anxieties about the culture shock, the new environment, moving to another continent, being alone, the high cost of living, the food, my allergies etc., would I still want to do a PhD? And honestly, I don’t know. I think the answer is yes, but then I immediately follow it with I don’t think I’m good enough, I don't know if it will get me a job I love, or will end up where I am now, doing something I don't like.

Right now, both choices feel equally terrible.
Not going feels like permanently missing that train and never having the career I want (even though a PhD obviously guarantees nothing).
Going feels like I might be fucking up my life, and if I don’t make it through, I’ll have lost 6 months to a year for nothing. I honestly think I would regret either decision. (cont)

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What really scares me is my perceived lack of ability. I remember plenty of times during my MSc when I couldn’t solve an exercise or prove something on my own. If that already happened then, I can’t fathom what will happen during a PhD, where you’re supposed to create new knowledge. I can’t tell how much of this is impostor syndrome and how much is a real mismatch between my abilities and the demands of a PhD in mathematics. That uncertainty is what scares me the most.

Starting at 29 also makes everything feel higher-stakes. I don’t feel like I have infinite retries left, which amplifies the fear of failing and “wasting time.”

Sometimes I seriously think I should just compromise: get a job I don’t love, but that pays the bills and doesn’t constantly make me feel inadequate. At least that path feels predictable.

And now that I have talked to a lot of people about this opportunity, I feel like I am stuck in my decision, that I would fail me and them not going.

Some people (my advisor included) told me "just try, if you don't like it in 6 months or 1 year, you can drop out", but it still feels very wrong, and scary.

I’m not looking for blind reassurance that “everything will be fine.” I’m genuinely trying to understand whether what I’m feeling is normal pre-PhD anxiety, or whether these are red flags I shouldn’t ignore and should withdraw, I am not in a good mental state right now.

sharp mulch
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Is this the first time you are experiencing this sort of anxiety?

fluid moat
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This level yes. I am a generaly anxious person, but I usually manage, these days it is through the roof

sharp mulch
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It really does sound like a lot of this is impostor syndrome

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And dealing with impostor syndrome really is quite difficult

gritty heath
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i felt exceptionally shit when i got my PhD offer from my university too, cause i got rejected from everywhere (mix of overshooting and political circumstances) when i applied to the USA, and my undergrad university was very kind to let me stay

even now, 5 months in, i don't feel like i deserved the position, and day to day i feel like i don't do enough for myself

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i just gotta learn to cope with it

north topaz
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also mental health struggles, so I'd also recommend reading similar posts on Academia Stack Exchange

sharp mulch
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During my undergrad years, one time we had an event where we had a few professors sit on a panel on their experiences in academia

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And impostor syndrome is certainly something that came up

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One audience member asked about it and there was pretty universal agreement in the audience that they had experience impostor syndrome to varying degrees

placid shadow
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I’m a high school student, but imo this isn’t typical anxiety levels for a person pursuing a PHD, I believe that it’s definitely a call to think about things such as if this is healthy or not for example.

sharp mulch
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And the faculty members agreed! They too had impostor syndrome that they struggled a lot with

gritty heath
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something similar happened in my university during the graduate induction too, even the professors were saying they had it as phd students and junior faculty

sharp mulch
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I also know multiple people who started doing their phd in their 30s

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It is not "normal" but it isn't uncommon either

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thomas where are youuuuuu

gritty heath
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if the PI is kind and supportive, consider talking to them

sharp mulch
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We can't just talk at you

fluid moat
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Here

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My advisor seemed very supportive when I talked to him about these things (of course with another tone, without mentioning me wanting to withdraw)

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My main issue is that I have never experienced this level of anxiety, and i struggle alot dealing with it. Also the fear of "what if I can't do anything" is very intimidating

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And I sway almost everyday between "I really want to go" and "I am withdrawing"

sharp mulch
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I was also scared that I wouldn't be able to make meaningful research progress when I started my phd

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Like doing research is very different doing course work right

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And there were some courses that I struggled with during my undergrad

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Many many many problems that I just couldn't do

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But!

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The admissions committee looked at what I had done and decided that they believed in me and my ability to produce future research

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These people are not clueless about what it takes to do research right

fluid moat
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It is just scary doing something completely new. I'll be honest, one of the main reason I applied is that I just missed math, in my job the most advanced math i see is fractions. I really missed looking at theorems, theory ecc, but it is quite scary having to create something new, proving things never proven before ecc. As I said, I wasn't the student that could look at something and immediately know how to solve the exercise or prove a theorem, I was an average student, and I feel I am overshooting with trying a phd

gritty heath
fluid moat
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Also right now I am doing a fairly straightforward job, boring, pays average, don't quite like it, but it gives me no stress. I have no idea if I can take the stress of a PhD

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I feel like I want it, but I don't know if I am just idolizing it too much and in reality I just want a more fulfilling job

gritty heath
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i would say shoot your shot
i dk if the phd is right for me too, but i think i will regret it if i didnt try

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would spend my life thinking "should i have done the phd instead" or something

fluid moat
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To give some perspective on my mental state right now. I just got out of the shower and thought "I can't wait to go to Singapore (I live in Italy)", then 5 seconds after it was "the climate sucks, my food allergies are a problem, I am completely alone there, ecc"

sharp mulch
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Server profile is Chiaki Morisawa

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Main profile is Riku Kurose

fluid moat
peak warren
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where in italy

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cause the weather this year kinda sucks everywhere in italy

fluid moat
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Milan

peak warren
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me too

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beautiful city

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zona 4?

fluid moat
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zona 4

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nord

peak warren
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città studi

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?

fluid moat
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ah no pensavo intendessi zona 4 ATM ahahaha

peak warren
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milano nord quindi?

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tipo zona 2

fluid moat
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si esatto, sono quasi verso sesto, ma faccio avanti indietro sesto-monza-milano

peak warren
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ci sta

honest grail
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hiii

stray knot
honest grail
stray knot
honest grail
stray knot
honest grail
stray knot
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Procrasinating ig

honest grail
stray knot
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What topic do u have to do?

honest grail
honest grail
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do trigo

stray knot
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I’m gonna do work

honest grail
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im stewpid pls ignore😔👈

stray knot
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What is going on 😭

honest grail
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dude im trippign istg

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im sorry, i am tripping so bad that i just mention a pansexual person ,dude ,brother for like 10 times straight

stray knot
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Yea get some sleep 😵

honest grail
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i should defo consider that

stray knot
honest grail
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let me rephrase it😭😭

stray knot
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If u want 😭💔

honest grail
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ya i just did it😔

stray knot
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🤨

stray knot
honest grail
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i edited the msg

stray knot
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?.?

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Ohh icc

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I’m so lost icl

honest grail
stray knot
honest grail
stray knot
honest grail
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(TO PLAY MC)

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I MEAN STUDY

stray knot
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Bruh

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I’m gonna go now

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I’m ac srs now

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(To eat)

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I also mean study btw

honest grail
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bywww

glass tartan
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how long does it typically take you guys to get through a math textbook?

old oak
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More seriously, I don't think there's a "typically", this will hugely depend on the textbook and reader.

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More than one year would likely be excessive in most cases, but there are textbooks that cover multiple semesters worth of material

placid shadow
placid shadow
tropic pivot
old oak
glass tartan
placid shadow
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The point of a book isn’t to finish it in 1 second but instead to understand it right?

fiery stump
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the secret is we're all stupid and that's okay

placid shadow
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Also, you can skip unnecessary things

old oak
placid shadow
tropic pivot
tropic pivot
placid shadow
tropic pivot
fiery stump
tropic pivot
placid shadow
placid shadow
tropic pivot
glass tartan
pastel hinge
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why my lvl is noy getting up

placid shadow
placid shadow
pastel hinge
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i have desent knowlege

tropic pivot
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It's been month(may be year), i didn't get the active role.

pastel hinge
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m new to discord how i can check my lvl 10 to sends picks

tropic pivot
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Oh! Active role. Here I'm years old. You just came and want everything in a minute. Huh!

pastel hinge
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i just want to get the permition of sending picks

tropic pivot
pastel hinge
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how i can get it plz tell me

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im from abandant land

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i come out from the jungle

tropic pivot
tropic pivot
pastel hinge
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im enable to send my game achivement in gaming server becouse of lvl restriction

tropic pivot
neat lintel
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hi

tropic pivot
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Yo

small dust
torpid bay
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im currently procrastinating analysis, i dont even know how many months catshrug

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pandathink sure

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with infinite terms does it converge to the inverse properly?

fathom swallowBOT
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DisOneGuy

torpid bay
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kinda sounda like taylor stuff

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taylor polynomials

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example?

ocean harbor
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holy yap

torpid bay
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the sum essentially counts how many n where x > f(n), so if x = 5, and k is the last integer wherer x > f(k), then naturally we would solve for x = f(k) where the sum increases, and so k = f^(-1)(x) at these certain points, where as there is a bit of an overshoot otherwise.

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$\sum_{n} \int{dn} \approx \int \sum_{n} dn$

fathom swallowBOT
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Yeatte

torpid bay
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im still processing the steps after the original inverse one

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seems like essentially $\int^k{f^{-1}(x)dx^k}$ but only for the integers, im just a little dubious of the integration step within the sum

fathom swallowBOT
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Yeatte

torpid bay
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reminds me a little of difference operator

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for like discrete calculus

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N just means the upper bound of the domain for what you want an accurate invverse for

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ideally infinite

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$\frac{1}{2}\sum_{n=0}^{\infty}{(\sign(x-f(n))+1} = f^{-1}(x):x\in\mathbb{N}$

fathom swallowBOT
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Yeatte
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

torpid bay
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oh, i think this works well only for functions that continue to increase

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right?

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ah, yeah, 1/1+x^2 mmm

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ln(x) -> 8 as x-> 8 so itll work fine

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8 being infinity

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hm, for 1/1+xx because it decreases instead of continutally increases, it counts more than should get counted at the start leading to quite an inaccurate inverse approx :\

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y=1/sqrt(1+xx)
1/yy = 1+xx,
sqrt(1/yy - 1) = x, pandathink

tropic pivot
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I'm high on phone.

torpid bay
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so

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-sqrt(1+x)/x + 1 isn't the best fit graph, its -sqrt(-1+1/x^2)

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instead of N/2 on the outsidfe of the sum, you can lump it back into the interior of it via the -1 i have in there

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and i think that ends up counting all the f(n) < x this time

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down to a certain level

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determined by N

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yeah

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really just examining whats going on within the sum

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the sign(x-f(n)) +-1 function pandahmm

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and bounds ig catthumbsup

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itll def work for gamma, im jjust not sure how useful itll be cuz its diescrete pandahmm maybe if you do a little \sum -> \int limit shenanigans

foggy meadow
torpid bay
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reminds me of a thing

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for partial sums

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$\sum_{n}^{x}{f(n)} \approx c + \partial_x \sum_{n}^{x}{F(n)}$

fathom swallowBOT
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Yeatte

torpid bay
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of course, d/dx would actually act on the contintuation of the summation operator rather than the discrete one but ye

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i used it to get the gamma zeta series some time ago, very fun

torpid bay
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dunno y the factor of 2 there

foggy meadow
# torpid bay

Maybe the same reason how I put 1/2 before stuffs.

torpid bay
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i was thinking that as well ye

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and then prob the +x cuz of the +1 in the discrete

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reminds me of this thing i did recently

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$\frac{1}{f(y)} = -\frac{p}{\ln(1-p)\operatorname{sign}(f(y))}\int_0^\infty{\frac{1}{e^{w\abs{f(y)}}-p}dw}$

fathom swallowBOT
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Yeatte

torpid bay
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not quite an inverse, but still fun

foggy meadow
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🥳 ratjam

torpid bay
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sign function b places huh

foggy meadow
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It's really nice of a function!

torpid bay
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the integral seems to be exact beyond a certain point, that is quite malleable

foggy meadow
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It's like the Middle Riemann of this inverse math.

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Good Christmas present thanks God.

torpid bay
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for k => 2, it looks like itll be exact for all x => 1

#

ig the issue is because 0! = 1 and 1! = 1, so the counting function that leads to the inverse can only start at one of them catshrug

#

maybe shift the gamma function down so that it can maybe start at that x ~ 0.8 value thats the local minima of x! or somthing

#

ever so slight improvement

foggy meadow
torpid bay
#

reorganized it a bit, a bit cleaner and moved that 1/2 bit

vernal gorge
#

hey guys next semester i have to pick a class between modular forms or linear algebra which should i take

foggy meadow
#

Gamma of a 0.5 is 0.8662273573.

torpid bay
#

sqrt(pi)/2

vernal gorge
#

why

foggy meadow
#

Because it will help you understand modular forms.

vernal gorge
#

won't modular forms help me with linear algebra?

#

i have friends who are taking modular forms and others linear algebra

foggy meadow
#

Because it takes linear algebra to really understand them.

vernal gorge
#

forms are functions that go in R whereas linear algebra has to do with matrices and stuff

torpid bay
#

they are objects which have certain groups as their symmetries, ones being special linear groups which are a part of linear algebra, you should be taking linear way before modular forms

foggy meadow
#

I'm assuming the 0.0000000005 to be a floating point error.

torpid bay
#

probably?

foggy meadow
#

After looking at other numbers it is.

#

I need to do it with a friend I promissed him!

willow herald
foggy meadow
#

Man this sucks, the wait ill kill me.

#

I shouldn't have said stuff. ;-;

torpid bay
#

zeta is giving me undefined :\

#

hm. ill try to do integral by another method then

fathom swallowBOT
#

DisOneGuy

#

DisOneGuy

foggy meadow
#

Otherwise, I think the tools are there, you got this!

fathom swallowBOT
#

DisOneGuy

foggy meadow
#

This some what lines up with the pseudo inverse over the complex plain I did.

#

So, I know this should work over the complex numbers. (Anyway inches, not miles.)

#

Wild day!

torpid bay
#

my desmos refused to load it KEK

foggy meadow
#

It took forever to load, but it's cool to see similar results to the complex approximation one I did.

#

Which lets me know something about the funtion, and that it might be on the right track.

#

It's really just using everything I've learned and have at this point.

#

Idk if this is meaningful but probably not. This also should have acne due to tanh(x) and ln(x) (maybe). So, not all of those will be zeros.

#

-13.8548 for the first one, which is close, so with more terms and derivatives it'll converge I bet.

#

Cool, well I'm done.

near lava
#

hi everyone

#

everything is doing great

foggy meadow
#

There's some scauce missing from that because zeta fips every derivative. So, I'd have to correct that for each z I'm integrating. But other idk.

fathom swallowBOT
#

DisOneGuy

foggy meadow
#

Where sign can be approximated by tanh(N * (...)) or arctan (2/pi * (...)). There's still sauce missing, and I need to eat some food, so I'm going to let these other zero aproximations finish with 20 terms rather than 10, and we'll see how well that goes.

torpid bay
#

take $H(x) \coloneq \frac{\sign(x)+1}{2} \ $ $\sum_{n=0}^{N}{H(x-f(n))} \approx f^{-1}(x)$

fathom swallowBOT
#

Yeatte
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

torpid bay
#

but this can be improved with smaller but mroe frequent steps

#

$\sum_{n=0}^{Nk}{\frac{H(x-f(\frac{n}{k})}{k} \approx f^{-1}(x)$

fathom swallowBOT
#

Yeatte
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

magic python
#

Ooooo approximations?

torpid bay
#

and as such, we can take k -> infinity to make an integral with lower bound of 0 and upper bound of N

#

$\int_{0}^{N}{H(x-f(u))du} = f^{-1}(x):f(0)<x<N$ for certain f(x)

fathom swallowBOT
#

Yeatte

spark vessel
#

Oh nice

torpid bay
#

f(x) being funcionts that only increase, not decrease

foggy meadow
magic python
#

Ooooo

torpid bay
#

otherwise

#

another integral can be used

#

$\int_{0}^{N}{H(x-f(u))du - N = f^{-1}(x)$

fathom swallowBOT
#

Yeatte
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

torpid bay
#

which works for funcs like 1/1+u^2

spark vessel
#

Interesting

torpid bay
#

let us take the factorial as an example of what we can do to extend this integral

torpid bay
#

H(x) = (sign(x)+1)/2

#

if we take the standard N to be infinity, and a lower bound of 0, then we get

#

$\int_{0}^{\infty}{H(x-\Gamma(1+u))du = \Gamma^{-1}(1+x):1<x<\infty$

fathom swallowBOT
#

Yeatte
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

torpid bay
#

this can be improved, even if slight

#

if we instead make the lower bound equal to about 0.46163

#

where Gamma(1+0.46163) is the local minima

foggy meadow
#

Either way it being x>=1 is like exactly what i had in my note book.

#

Like crazy.

torpid bay
#

denote M as this constant where Gamma'(1+M) = 0

#

$\int_{M}^{\infty}{H(x-\Gamma(1+u))du} + M = \Gamma^{-1}(1+x) : \Gamma(1+M) < x < \infty$

fathom swallowBOT
#

Yeatte

torpid bay
#

slight improvement catshrug

#

in general tho

foggy meadow
#

Another fiew hours..

torpid bay
#

$\int_{a}^{N}{H(x-f(u))du} - a = f^{-1}(x): f(a) < x < N$

fathom swallowBOT
#

Yeatte

torpid bay
#

note: that one is for increasing functions

#

i tihnk just tacking on a -N would work for decresing funcs just like how ot worked the other time

foggy meadow
#

Cool!

torpid bay
#

I think i did something similar using another dummy function, i used sin(x)/x to get g(x) = f(x) when a < x < b, and 0 otherwise

foggy meadow
foggy meadow
#

Yeah, I'm getting an over flow when I put in zeta, SystemException["MemoryAllocationFailure"]

#

The finite version is interesting, and even though expensive I might have to use it.

torpid bay
#

$\int_{a}^{N}{-H(x-f(u))du}+N=f^{-1}(x):f(N)<x<f(a)$ for decreasing f(x)

fathom swallowBOT
#

Yeatte

foggy meadow
#

Is zeta decreasing?

torpid bay
#

yes

#

prob want to shift the zeta function a lil

foggy meadow
#

Yeah, that's fine my friend said have fun.
He made is own version of the function that converged super fast with 2^{n}

#

Sadly he doesn't have it anymore, and I don't think I do either.

foggy meadow
torpid bay
#

i dont even have to shift the zeta

foggy meadow
#

Yep

#

It's really that simple

foggy meadow
foggy meadow
#

I might work it out by hand, but maybe not

torpid bay
#

mm, tanh(x) is a bit off, i tihnk cuz its a smoother sign(x) that some of the contributions that would otherwise be 0 end up messing with the full integral

foggy meadow
#

And if it's more accurate I'll freak out.

foggy meadow
#

That's the only extra scauce I could think of?

torpid bay
#

*afk, eating food rn 🥣 *

foggy meadow
#

Cool though it's close af to zero for F[0.5]. neat!

foggy meadow
#

So, if I'm graphing this what am I supposed to put in for Z^{-1} to test stuff?

torpid bay
#

I'm not really sure how ye got the integral thingy, so catshrug

foggy meadow
#

That's fair.

#

It was the original thing I posted about, before you simplified it.

foggy meadow
torpid bay
foggy meadow
#

What do we do now?

torpid bay
#

lemme give you an integral i tihnk is cool

foggy meadow
#

Okay

torpid bay
#

$\frac{\zeta(2)}{\Gamma(y)^2} = \int_{0}^{\infty}{\frac{w}{e^{w\Gamma(y)}-1}dw}$

fathom swallowBOT
#

Yeatte

foggy meadow
#

That is cool!

torpid bay
#

$\int_0^1{\big( \frac{1}{\ln(x)^{a+1}}-\frac{x}{(x-1)^{a+1}}\sum_{n=0}^{a}{\langle {}^a_n \rangle x^{a-n}} \big) dx} = \frac{\gamma}{a!}+\sum_{n=0}^{a}{\zeta(-n)}$

fathom swallowBOT
#

Yeatte

torpid bay
#

at some point the approximation to gamma diverges and gets worse, but i think the best term was like accurate to like 3 decimal places

#

,w calc 1459/2520

torpid bay
#

oh, only 2

#

rip

torpid bay
#

like a being an integer

foggy meadow
foggy meadow
torpid bay
#

ye

#

i tohught it was an error, but the true series on the right diverges

#

the reason it approximates gamma is because the bernoulli numbers get smaller for a few terms, but then they increase and continue increasing with a growth rate like factoria or something

#

the simplest case of the integral is this

#

$\int_{0}^{1}{\frac{1}{\ln(y)}-\frac{1}{y-1}dy} = \gamma$

fathom swallowBOT
#

Yeatte

torpid bay
#

you've seen stirling's approximation, right?

#

have you seen the next level for it?

foggy meadow
#

Probably not.

torpid bay
#

$\lim_{x\to\infty}{\frac{\prod_{n=1}^{x}{n}}{x^{x+\frac{1}{2}}e^{-x}}} = \sqrt{2\pi}$

fathom swallowBOT
#

Yeatte

foggy meadow
#

Crazy.

torpid bay
#

$\lim_{x\to\infty}{\frac{\prod_{n=1}^{x}{n^n}}{x^{\frac{x^2}{2}+\frac{x}{2}+\frac{1}{12}}e^{-\frac{x^2}{4}}}} = A$

#

A is the glashier kinkelin constant

fathom swallowBOT
#

Yeatte

torpid bay
#

there's more constants, but desmos rounding error so i could only get about 8 of them

placid shadow
#

Is there any YouTube channel that explains math like Eddie Woo? I feel Eddie Woo teaches students who are encountering a thing for the first time and teaches in a way that is very comprehensible and intuitive.

magic python
#

This place has less madness >~<

placid shadow
torpid bay
placid shadow
magic python
#

There is a war in main lol

torpid bay
#

I haven't seen a lot of educational side of math youtube, but what I have seen is eigenchris. he has 3 series on math, but they very specific videos, and can sometime lack a bit of detail inregards to notation, but i feel that they explain things well

placid shadow
#

Tysmm

torpid bay
#

That being said, the videos are not wide ranging, so most likely he wont have what you want in terms of topics

loud oxide
#

Could I get someone to solve a linear programming the math problem in code if I bribe them with my world record Snayk 3+ game?

#

This is definitely years beyond what I know now. X E.

torpid bay
#

I would say math youtube is more so the place where you can get introduced to topics and explained in a hand-wavy way while the details are found in books

#

high quality animations, but perhaps lacking in rigor/detail sometimes

placid shadow
placid shadow
loud oxide
placid shadow
loud oxide
placid shadow
#

What's that?

loud oxide
#

Like how a process would work logically, like how to multiply. X E.

#

Should I explain the problem?

placid shadow
loud oxide
#

Given what I know now, all variables are bounded on both sides with >= with constants and of form a+b+c+d+e+f=constant with all being single numbers and known multipliers per each variable and from the original, x, y, and z with x and y being with z multiplying constants in inequalities, x, y, and z are partly or fully in the equation and missing one means plane, two, line or point, three, point, now how to solve this simplest form? I want the x, y, and z of planar extrema, all of them, and all things here are just numbers. There can be no solution. Still no idea how to solve. Carry on. X E.

placid shadow
#

What does bounded and planar extrema mean?

#

Maybe you can open a help channel?

#

!help

quasi jettyBOT
#

To ask for mathematics help on this server, please open your own help channel or help thread. See #❓how-to-get-help for instructions.

loud oxide
#

If you know how to solve can you DM so I can save it? bounded like constant>=variable>=constant is bounds. X E.

placid shadow
#

Unfortunately I don't know.

torpid bay
#

just like, slap some linear algebra on that problem and ur good to go

loud oxide
#

And this is single numbers so no longer linear algebra. X E.

slow pier
#

Hi X E

loud oxide
placid shadow
#

Well you don't wanna be taught how to do it?

loud oxide
placid shadow
loud oxide
#

Well, something for tomorrow. X E.

placid shadow
loud oxide
#

Well, checking minimums and maximums, should work. X E.

worthy shell
placid shadow
worthy shell
#

i first watched it when i barely had started learning trig and was sorta fascinated and confused, then i watched it later and it was very good imo

worthy shell
#

idk if ive ever seen another person on yt with that sorta "energy". bprp is quite good but he more solves problems than explaining curriculum from scratch for the most part. maybe prof leonard in terms of explanation quality

slow pier
#

Guys I checked out a random video of Eddie Woo as I was recommended to yesterday here. This guy is very cool.

noble tinsel
#

somebody wanna play skribbl io?

#

Game is still up

shell bloom
#

hello guys how do I deal with procrastination i got finals coming up, and i only want to study the day before finals

shrewd mist
#

Hello I'm new to the server, I'm not the best at maths but I really want to get better. How do I do it?

neat lintel
shell bloom
#

but i got like 7 classes

shrewd mist
#

Is there any method of specific self study I can use

neat lintel
shell bloom
#

what math are u?

shell bloom
shrewd mist
shell bloom
#

pressures

shrewd mist
#

I'm not sure if that's a good idea

neat lintel
shell bloom
#

i'm just too lazy

#

that why my grades are on the edge

shrewd mist
#

I can understand that

shell bloom
#

80.00 bouta drop to c

neat lintel
#

U should just eliminate all distractions

shrewd mist
neat lintel
#

Focus on ur school work

neat lintel
#

Btw how old are y'all

shrewd mist
#

Something or the other always pulls me away

shrewd mist
shell bloom
#

im a sophmore

foggy sandal
#

im junior

shell bloom
#

most important year

foggy sandal
#

meowww

shell bloom
#

gotta try hard

foggy sandal
#

how is sophmore most important

neat lintel
shell bloom
#

I mean sophomore and junior are

neat lintel
#

Idk

foggy sandal
shell bloom
#

what yall gpa?

neat lintel
#

Gpa??

noble tinsel
foggy sandal
shrewd mist
shell bloom
#

prolly if u teached a ant to do calculus

neat lintel
foggy sandal
#

or just letters

shell bloom
#

both

neat lintel
#

Both

shrewd mist
#

Both

shell bloom
#

tbh middle school you don't even need to try at all

foggy sandal
#

yeah true

neat lintel
#

Yeahh

shrewd mist
#

I need to get better at factorization blobcry

shell bloom
#

algebra 1?

#

or 2

shrewd mist
#

2

shell bloom
#

im guess it 2 because you cant learn it in the begining

neat lintel
shell bloom
#

guessing"

#

well factorization isn't hard

neat lintel
shell bloom
#

are you taking 2?

#

once you get into the log stuff it get so confusing

shrewd mist
#

I despise congruency

#

With every cell in my body

neat lintel
neat lintel
shell bloom
shrewd mist
shell bloom
#

ye

#

"ig"

neat lintel
shrewd mist
#

" ig I breath air "

shrewd mist
neat lintel
neat lintel
neat lintel
shell bloom
#

dat

#

unless you mean honor?

foggy sandal
#

like amc?

neat lintel
#

Whats honor??

foggy sandal
#

what competition

neat lintel
foggy sandal
neat lintel
#

Like last month

foggy sandal
#

how did u do

neat lintel
#

Lol I got a certificate, tbh I did horribly

#

But I got my first gold medal in the Singapore Math Contest too

#

So Yipeee lol

foggy sandal
#

nice

shell bloom
#

so smart

foggy sandal
#

amc is def a lot harder

#

idk if its worth grinding tho

shell bloom
#

for you college apllication yeah

#

your

foggy sandal
#

idk

#

cuz u need to do rly good on it

shell bloom
#

gotta show some outstanding achievement

foggy sandal
#

yeah but that would mean at least usajmo qualifier

neat lintel
shell bloom
#

you guys live in singapore?

neat lintel
shell bloom
#

O-O

neat lintel
shell bloom
#

idk about hardvard

neat lintel
shell bloom
#

you gotta go to africa and teach student there to play instruments

#

need some crazy acheivement

neat lintel
#

Loll

shell bloom
#

you need to be a good leader

#

participating lot lot

neat lintel
#

No pun intended

shell bloom
#

actually?

#

wait that a lie

neat lintel
#

Hmm how??

shell bloom
#

actually from africa?

neat lintel
neat lintel
shell bloom
#

I learned some world history

shrewd mist
#

6 or 7 😔

neat lintel
shrewd mist
shell bloom
shrewd mist
shell bloom
#

yeah

#

btw no criticizing or judgement

#

so yeah dw

#

so yeah i have finals the day after tmr

neat lintel
#

So start studyingggg 😭😭😭

shell bloom
#

im stressing so much

#

jk

#

ill do it tmr

#

i did a bit studying today

#

do you guys have finals coming up?

neat lintel
#

Ye but next yr lol

shell bloom
#

ur done?

neat lintel
#

Nah, I've 2 major "school" exams coming up

shell bloom
#

bruh i thought u were a freshmen in college

#

when u said major exam

#

major final

neat lintel
#

Lol

#

Im in 9th grade rn

shell bloom
#

how many classes are you taking?

light gate
#

omg pending postgrad

shell bloom
#

lol

neat lintel
neat lintel
shell bloom
neat lintel
#

What is that anywayy

old oak
neat lintel
#

Still dont get it but thx anyway

old oak
neat lintel
#

Yea I figured lol

shell bloom
#

postgrad is like grad school

neat lintel
#

Like after 12th grade??

shell bloom
#

no

neat lintel
#

😭😭

shell bloom
#

after ur college years if u wanna go for higher

old oak
# shell bloom postgrad is like grad school

Well, the postgrad role in this server is basically "people who graduated university-level mathematics"; some in further education, some working mathematicians, some elsewhere

neat lintel
shell bloom
#

after bachelor

neat lintel
#

Sry Im rly slow lol

shell bloom
#

so yeah this server is full of smart people

uneven steppe
#

hello

shell bloom
#

all so studious unlike me

#

dang so smart

neat lintel
neat lintel
shell bloom
#

@uneven steppe

uneven steppe
#

sup

shell bloom
#

how to get smart

#

be"

uneven steppe
#

read

#

that’s all you have to do

#

And think

shell bloom
#

what happens if im not studious

uneven steppe
#

hmmmm

#

how do you know you’re not

shell bloom
#

i mean only sometimes

#

how to stop procrastination

foggy sandal
#

u stop procrastinating

shell bloom
#

i cant

neat lintel
#

Why not

shell bloom
#

im an lazy bum

light gate
#

me too blobcry

shell bloom
neat lintel
#

Who isnt tho 🤧

shell bloom
#

well yeah goodnight everybody

tropic pivot
#

Night

tropic pivot
# shell bloom be"

I felt the same few minutes ago. A person sent a question that should be easy for me but I didn't even get a hint in mind. When I check the solution it was little steps here and there but overall easy. I think the problem is with number of questions that I need to be practiced with.

#

More and more questions so that I understand the pattern.

meager nexus
#

Hii

tropic pivot
meager nexus
tropic pivot
#

Lying on bed at noon.

#

What about you?

meager nexus
#

I was eating

#

Now nothing

austere fox
#

winnie the pooh

meager nexus
#

??

meager nexus
austere fox
young beacon
#

why does everyone look down on me im faster im stronger im smarter. im better I AM better

meager nexus
meager nexus
austere fox
meager nexus
#

Oh

meager nexus
austere fox
#

absorbing vitamin D

meager nexus
#

Oh getting sunlight?

austere fox
#

yep

meager nexus
neat lintel
#

Hallo y'all

misty surge
meager nexus
neat lintel
meager nexus
meager nexus
neat lintel
#

And gtkk

meager nexus
neat lintel
meager nexus
#

😭😭

#

What if My heart is broken 💔

austere fox
neat lintel
neat lintel
meager nexus
austere fox
meager nexus
austere fox
#

k ima go study(hopefully)sully

neat lintel
austere fox
neat lintel
austere fox
#

im so lame :']

meager nexus
meager nexus
neat lintel
meager nexus
neat lintel
#

Ehh my heart is doing fine

meager nexus
#

Oh great 😃👍

mystic solar
brave coral
meager nexus
distant yew
#

In your list

#

I only see this kind of msg

austere fox
tropic pivot
#

Hi there.

obtuse grail
tropic pivot
#

Hola. How are you?

wraith juniper
#

@glass isle hello exopwn

glass isle
#

hello koto

young merlin
#

XO

lofty mango
#

Heyya

ocean harbor
unkempt moat
#

Meow

placid shadow
meager nexus
meager nexus
small dust
#

all the girls in this server know is yuri and cat noises

magic python
#

And trans noises >~<

small dust
#

nvm i need to stop typing before i get cancelled

magic python
#

You won't be canceled

#

Or maybe you will idk

ocean harbor
unkempt moat
#

I just don’t talks about it here

#

ironically

ocean harbor
#

what kinda math

magic python
#

Proof?

latent edge
unkempt moat
unkempt moat
shell bloom
#

does anybody have tips about studying, I have finals tmr for 7 classes

versed jungle
misty surge
#

Why do ghost chillies have to taste so good yet be straight up deadly

misty surge
shell bloom
#

I don't think the grown ones you have can compare to the real ones

#

or is it the same

misty surge
#

It's the same, if you want full heat then you wait for them to ripen to bright red but nah I ain't doin that. Don't do drugs, try a ghost chilli instead tho

shell bloom
#

personally i dont like chili that much

#

probably only the green one's that arent spicy

misty surge
#

nah but if u eat some hot af chillies out there, you will hallucinate

shell bloom
#

do u hallucinate

#

plus everybody have different immune system

misty surge
shell bloom
#

well it pretty confusing

#

im also hallucinating cause there so much stuff to do

#

final's week is so bad

misty surge
#

I thought it was easy! I was like triangles man, three sides, must be the easiest

shell bloom
#

hell no

misty surge
shell bloom
#

gotta deal with those log stuff in triangles

misty surge
shell bloom
#

i had summer school lol

#

i finished geo in 6 weeks

#

i had a big ahh blister

quasi raven
#

Hey one I have a question

shell bloom
#

let see

quasi raven
#

I sent to the wrong chat

#

I meant to send it to the math discussion

shell bloom
#

k lol

quasi raven
shell bloom
#

go ahead

quasi raven
zealous parcel
#

@simple reef

ocean harbor
shell bloom
#

dw im gonna keep procrastinating lol

#

ty tho

#

anybody willing to help, didn't focus during class. log6=R, log 11=S, log 4=T fidn log 12/5

ocean harbor
main terrace
#

the best method is review content --> practice exam --> review missed content --> practice exam

#

and continue till you exhaust practice exams!

shell bloom
#

yeah ty lol

wise bloom
#

no way good

thick hinge
#

Hello everyone

#

Good morning

bleak lagoon
thick hinge
#

Guys m cooked

vocal lion
#

why is that

willow herald
#

Good morning :p

willow herald
thick hinge
#

I'll dm u

unkempt moat
#

Mrp

ocean harbor
unkempt moat
willow herald
thick hinge
true zinc
#

It will randomly drop notifications and message pings

placid shadow
true zinc
placid shadow
static trellis
#

this is random but is anyone down to sign my volunteer hours I need them badly rn 😂

placid shadow
#

Pretty!!

foggy meadow
#

Yep!

placid shadow
#

Ooooooooo

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Really symmetrical!

#

interesting

#

Good luck and have fun!

#

You'll get it!

jovial ember
ocean harbor
jovial ember
jovial ember
#

There’s no fault 😭

#

I was just surprised

ocean harbor
#

ah fair

pseudo cairn
# foggy meadow Yep!

I wish I saw this before my Math paper. This wud hv been a good topic to write on

#

What’s the topic or concept this is based off?

#

Which program

vast wraith
#

is this the polynomial (z^2-a^2)^2 for some purely imaginary a ? catcutethink

#

are you sure about that?

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im not sure what you mean by inverse here

torpid bay
#

floating point error sadcat

#

desmos: this function might approach 9000... or it might suddenly be 3, who knows catshrug

torpid bay
#

smh im gonna be using the digamma function again

timid bronze
#

@jagged forge @fresh comet @sonic field Hi

#

My hiatus is over…

torpid bay
#

also, fun lil thing $\int_{0}^{1}{(\ln(\Gamma(1+a))+a)da} = \ln{\sqrt{\frac{2\pi}{e}}}$

fathom swallowBOT
#

Yeatte

timid bronze
#

Jellyfish needs to wake up and share the invite..

#

And thx!!

fresh comet
#

how did your exams all go?

magic python
#

:3

unkempt moat
#

Meow

magic python
#

:3

timid bronze
#

But

#

That makes up for a bad midterm 2 score.

#

As for finals though

#

I think chem went really good

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Physics, better than expected

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Math fucking SHIT

#

There was 2 questions where we had to know our half angle double identities or whatever. And because I don’t know many identities, I left it mostly blank…

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But idk my scores yet

#

Wbu

fresh comet
#

let’s hope math ends up better than expected too

#

as for me, my numerical methods exam went fairly well and logic went… not as well EevCry

timid bronze
#

No, it’s gonna be bad 😭

fresh comet
#

I won’t know about complex analysis for another 1.5 days

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I have to write that one in the morning on Friday

fresh comet
timid bronze
sonic field
#

she don know 😄

magic python
#

We not talking about yuri this time sadcat

timid bronze
#

I don’t like lying to myself

pure hollow
#

Hello ally

timid bronze
#

And I’m not trying to be pessimistic either

pure hollow
#

It's been a while

timid bronze
#

Like I think I’m fine for chem and physics, but math absolutely not

timid bronze
pure hollow
fresh comet
timid bronze