serious-discussion

[violet wraith]

I've always been kinda nervous with the prospect of dealing with anything binomial-related: the formula, the coefficients, etc.
$\$
but I've finally sat down and thought a bit about it and came up with the general formula for the $n$th derivative of a product of functions. it's not impressive but I still would like to share:
$$(fg)^{(n)}=\sum_{0\le i\le n}\binom ni f^{(n-i)}g^{(i)}$$
(at least I hope this is correct)

[fathom swallow]

please request a new nickname

[gusty star]

https://en.wikipedia.org/wiki/General_Leibniz_rule

[violet wraith]

that's literally what I wrote

[odd brook]

awesome! yeah this is a fun one to derive

[gusty star]

That's why I posted it

Why have you thumbsdowned my comment?

I posted it because of the "(at least I hope this is correct)" part

Anyway, more generally, have a look at https://en.wikipedia.org/wiki/Derivation_(differential_algebra)#Properties

And for fun, consider the case where you are working in char p

[violet wraith]

ok fine I guess I see that

[gusty star]

I thought you came up with it on your own, and I thought you would feel proud that you discovered a known identity

[violet wraith]

I was just annoyed bc of the wikipedia page being posted immediately as I post my own thing but I see what you were doing

[violet wraith]

I did and I knew it was known but it was my first time actually deriving it

[gusty star]

Ah right

Feels good

[violet wraith]

ah, I've heard of these and they're pretty interesting

[celest zephyr]

@scarlet lantern hey, do you still keep up with developments in AQFT?

[restive bolt]

Hey

[bright hill]

@fast moat the sully was because your message was off topic

Simply posting a geometric construction followed by "new" doesn't make for an interesting math discussion

Fuck off

[void tundra]

2 sullies to a delete nice

[scarlet lantern]

Yes, but only the headlines

Costello--Gwilliam and Urs’ work and Pedro Lauridsen’s work for the most part

A little strange to ping me out of the blue for this; do I know you from the physics server or something

[celest zephyr]

Mmmm I see. No, I just saw that you were quite critical of the AQFT program before in the physics server and I wanted to see if that had changed. I'm thinking whether it's a topic worth studying in the future or not. Unfortunately I can't post in the physics server without linking my phone number so I asked here instead.

[scarlet lantern]

Ok, I see

I’m critical of past advances in AQFT in the Haag--Kastler era and what came after because they didn’t really achieve anything and were quickly superseded by Glimm and Jaffe’s work which was roundly more effective

So in the context of constructive QFT, algebraic approaches have been (up until recently) mostly unsuccessful

Many of the new advances are quite interesting and worth following up

But they’re very new so it’s tough to say what will happen and once again the more analytic approaches like Hairer’s programme are more successful on the ground

Remains to be seen what will happen

If you have an independent interest in AQFT, not constructive stuff, then by all means look into it. It really is very cool just at the mathematical level, especially CG’s stuff

However one other thing to note is, because of their early lack of success, the field has remained a bit small. It’s not as vigorous as other areas of math phys and there are only small pockets in the UK and Germany and Canada working on it actively

[neat lintel]

Hello guys

Can smone help me with an algebra problem?

[woven whale]

why are my hands constantly cold

like even when I'm under a blanket

[zealous garden]

Because you don't use them enough

[neat frost]

...use them... how...?

[zealous garden]

In strenuous ways that get them tired and cause the blood to pump

[neat frost]

Ah I see

[zealous garden]

Like playing a Bass Guitar

[scarlet lantern]

Idle hands are the Devil’s workshop. That’s why I always [keep them moving]

[frigid matrix]

yea

[neat lintel]

@frigid matrix u still here ?

[frigid matrix]

yea

[deep dirge]

This is me.

[celest zephyr]

Well actually my interest is basically that I have some sort of physical motivation for studying grad maths xD As such I don't have any interest on the constructive stuff. I had a short email convo with Kasia Rejzner, and she seemed quite optimistic about the programme although that's understandable given that's her main area of research. She actually recently published a paper trying to connect her work on pAQFT with that of Costello/Gwilliam on factorization algebras

[scarlet lantern]

Then you should definitely read up on it

Rejzner's BV stuff in particular is very cool

My only gripe really comes from the cQFT side, otherwise I think the developments in this area are well-worth studying, especially if you're interested in physics as a playground for algebra or motivation for algebra or what have you

[celest zephyr]

yeee

[neat lintel]

@frigid matrix sorry for the delay

Small Saint#0022 so u can help with algebra?

[gusty star]

Did anyone else notice that the texit bot is running at a $81.35USD a month loss?

It's posted 292822 times on this server, that's pretty crazy

[cinder zephyr]

where do you see this lol

[gusty star]

I saw it on their patreon page https://www.patreon.com/texit

@cinder zephyr

[cinder zephyr]

damn

[gusty star]

I am kind of surprised they only get $29USD a month

[woven whale]

how does their vps cost 100€/month

[gusty star]

,about

[fathom swallow]

About Me

I am a high quality LaTeX rendering bot coded in discord.py.
Use ,help for information on how to use me, and ,list to see all my commands!
​ ​ ​ Developers: Puerøsøla#0494, JetRaidz#3498
​ ​ ​ ​ ​ ​ ​ ​ Shard: 0 of 22
​ Shard guilds: 2301 (~50622 total)
Shard members: 476527 (~10483594 total)
​ ​ ​ ​ ​ Commands: 56, with 132 command keywords
​ ​ ​ ​ ​ ​ ​ Memory: 13.48GB used out of 15.37GB (91.1%)
​ ​ ​ ​ CPU Usage: 9.1%
​ ​ API version: 2.1.0 (final)
​ ​ ​ Py version: 3.10.8 (main, Oct 15 2022, 12:19:13) [GCC 7.3.1 20180712 (Red Hat 7.3.1-15)]
​ ​ ​ ​ ​ Platform: Linux-4.14.299-223.520.amzn2.x86_64-x86_64-with-glibc2.26

Support Server, Invite Me, Privacy Policy, Help keep me running!

[woven whale]

it's only 16 gigs

or well

maybe like 20

cuz of the os

[gusty star]

A shard manager is generally a seperate program that communicates to all running instances of your bot, and tells each shard if and when it's allowed to connect. The manager would handle the max concurrency and make sure that too many shards don't try to connect simultaneously.

And this has 476527 shard members

[woven whale]

shard members not shard manager

[gusty star]

I am aware

[gusty star]

So? Presumably they are paying for servers, not running it off their own pc

[woven whale]

yeah but still

I'm paying 20€/month for a 32 gig vps

with a uh

let me check

what cpu

[gusty star]

And how many users are you serving?

[woven whale]

it doesn't say

but it's 6 vcores

[gusty star]

And is it dedicated, or shared?

[woven whale]

it's a vps

[gusty star]

Shared cost way less than dedicated

[woven whale]

ok and?

[gusty star]

You seemed sceptical it cost so much, and your justification was based on your shared VPS costs

But shared VPS cost significantly less than dedicated hosting

They should probably be transparent with their costs though, that would probably motivate people

[woven whale]

"I go for the gucci socks because they have gucci in their name"

[gusty star]

That's a stupid comment. a shared VPS won't work for running a discord bot on like 30000 servers

[woven whale]

do you have any evidence for that claim?

have you tried running a 30000 server bot on a vps yourself?

[gusty star]

Do you understand the difference between shared and dedicated hosting?

[woven whale]

responding to my question with another question

[gusty star]

Your question seems to suggest you don't know the difference

The second question seemed like a rhetorical statement

[woven whale]

man I really can't be arsed arguing with you

[gusty star]

That's okay, you don't seem to have anything to share

[woven whale]

please stfu

you realize this comment wasn't necessary

and is just going to get me more heated

[cold needle]

can we be civil in here

[brittle socket]

Latex workshop doesn't want to work

[void tundra]

omg hiii grasss

is that actually a good vscode extension

[void tundra]

I wonder if TeXiT is oss tbh

[brittle socket]

Hello

Latex is pain

Gonna continue trying to fix my latex workshop after i get home

[fast moat]

HELP

IM STUCK AT A BRITISH ACCENT

[limber thunder]

it is; the source code is available at https://gitlab.paradoxical.pw/team-paradox/paradox

[mild birch]

guys i need help in math discussion appreciate support ^^

[fast moat]

!help

[quasi jetty]

Please read #❓how-to-get-help

[compact tartan]

if you run your VPS at 100% CPU usage, your provider will be very quick to terminate your service

the reason VPS are so cheap is that their resources are overbooked and not inteded to be used to 100% all the time

[surreal kindle]

[neat lintel]

Hi guys

Can someone help me with a geometry problem?

[mighty gale]

@neat lintel which grade?

[neat lintel]

High school

@mighty gale can u help ?

[mighty gale]

grade?

[neat lintel]

In my country we have 3 grates of high school

Am in the second one

[mighty gale]

ohh ok

[neat lintel]

Grades

Soo

[mighty gale]

ask it

[neat lintel]

Here?

[mighty gale]

if possible i can ans?

[neat lintel]

Gimme a sex

C

triangle ABG is given
with A(-5,-2) while the median BM has an equation of y=x-1 and the height DG has an equation of y=-2x-2

[mighty gale]

im afraid i cant give you that

[neat lintel]

Find the equation of the side AB

[mighty gale]

lemme think

[mighty gale]

which country are you from?

[neat lintel]

Greece

[mighty gale]

oh

[neat lintel]

Sooooo

Any ideas?

[mighty gale]

yes wait a sec

[neat lintel]

@mighty gale okiii

@mighty gale am still here 😅

[mighty gale]

yes

[neat lintel]

@mighty gale so u got any luck with it ?

[mighty gale]

still on it

@neat lintel hope iam correct

y=-1/3x-6/5

[neat lintel]

Can j show me ?

[mighty gale]

@neat lintel whats the ans?

[neat lintel]

How u got it

I really dk its for an project

[mighty gale]

am i correct?

[neat lintel]

My tutor

I can tell u in about 2 hours when I get back

Can u show me how u found it tho?

And ty so much for your time

[mighty gale]

sure haha

[neat lintel]

@mighty gale maybe u could send me photo of your work?

[mighty gale]

its all messy you want understand a thing

[mighty gale]

the thing is i am nervous about my ans being correct cause in my school this topic isnt even taught yet and this topic is in my next grade so i might be wrong

[neat lintel]

@mighty gale it's Okey even if u are wrong

@mighty gale but commooooonnn let me seeeeeeee

Am curious

[mighty gale]

wtf i cant explain it

see what i did was

[neat lintel]

Wdym

Let me see what u wrote

In the paper

I might understand lol

[mighty gale]

english is my 2nd language

[mighty gale]

wait then

[neat lintel]

wow

Should I attempt calculus 1 in 11 days

no never...

Why

[woven whale]

sure

why not

[neat lintel]

@woven whale

[mighty gale]

here lol good luck understanding

[mighty gale]

i am not sure if i am correct or not

[neat lintel]

What math class is it for

@mighty gale wow lolly that's kind off a mess hahaha

[mighty gale]

for consuming meth

[mighty gale]

btw how old are you?

[neat lintel]

o

uh

@mighty gale am 18

[mighty gale]

im 15

[neat lintel]

[neat lintel]

dude that's a lot to process frrrr

that's really weird

[mighty gale]

and i am not sure if iam correct

[neat lintel]

It looks like there's an inside

at my school's math the shapes are always flat looking

@mighty gale hahaha loooll

on graphs

[mighty gale]

tell me the ans?

[neat lintel]

I wouldn't even think of checking it.. peace out sorry

That thing still uses mx + b

[mighty gale]

that thing?

[neat lintel]

Ye

Weird graph still using mx + b

I remember back in algebra 1 with flat shapes

[mighty gale]

[neat lintel]

The one you have has an inside

P1jdcibwdcnwdj Cisco q

[mighty gale]

i think its called slope intercept form

[neat lintel]

Yes it issss

No no

Not intercept

[mighty gale]

and the other one is point intecept form

[neat lintel]

Slope form

Actually

Is that not linear

form

[mighty gale]

yes i think so

[mighty gale]

and how old are you?

[neat lintel]

Sorry I cannot say my age

not to strangers

[mighty gale]

what am i gonna do with your age?

[neat lintel]

[mighty gale]

like steal it or something?

[neat lintel]

No

I have an oath I took

I cannot say my age

[mighty gale]

ok tell me which year/standard/class/grade you study?

[neat lintel]

grade 11

[mighty gale]

uk?us?

[neat lintel]

US

I am in algebra 2

Not looking good for me

[mighty gale]

then you are older than me

[neat lintel]

ok

[mighty gale]

i will be in grade 11 next summer

[neat lintel]

noice

I will be senior

Can't believe graduating soon

[mighty gale]

which uni are to going to aaply?

[neat lintel]

I donno

I wanted UC but I don't know

[mighty gale]

good luck

[neat lintel]

I graduate next yearrrrrrrr

Ye

class of 2023?

Oops

2024

[mighty gale]

what topic are you currently on in algebra 2?

[neat lintel]

Logarithms

[mighty gale]

oh ok

[neat lintel]

I might take summer class to skip pre calc

I didn't get the chance last year because everyone took all seats

[mighty gale]

lol

[mighty gale]

this summer i mean

[neat lintel]

Yesss

A fellow class of 2024

Very nice

I will go for engeering

[mighty gale]

which one?

[neat lintel]

oo

I wanted to go engineering like biomedical

BUt

I always think I'm not enough for it

Not looking good for me

So many careers I wanna choose but can't pick one

@mighty gale wdym witch one

[mighty gale]

you gotta put the work for it

[neat lintel]

Ye

[mighty gale]

i mean which kind of engineering are you going to pursue?

[mighty gale]

1 year is still left for graduation grind hard my friend

[neat lintel]

Yes

I should use that time efficiently

Planning on self studying

[mighty gale]

Aerospace/aeronautical engineering.
Chemical engineering.
Civil engineering.
Electrical/electronic engineering.
Mechanical engineering.etc

[mighty gale]

you have to determined to do self study

[neat lintel]

Ye

[mighty gale]

cause there are many distractions around

[neat lintel]

I am trying to fix my sleeping schedule

[mighty gale]

@neat lintel tag me to tell the ans

bye

[neat lintel]

@mighty gale ikiiiiiii boyyy<3

Bye*

[wheat bloom]

hey any math nerds want to read a couple of concise and useful pdfs on mathematical logic and combinatorics to join me on the adventures of the abstract!

[woven whale]

[neat lintel]

I'd love to join on the adventure of the abstract

If only I had the capacity

[mighty gale]

id loved to but its too advanced for me

[wheat bloom]

well, that's up to the eyes of the beholder

[mighty gale]

wdym

[wheat bloom]

it's subjective

[mighty gale]

still not getting it

[wheat bloom]

like it means, cause every human decides what is 'hard' and 'easy' for themselves

but yeah does take commitment to read

[mighty gale]

nah bro its not about hard or being easy

its being at that level

[mighty gale]

yeah i can read it but i wont understand a thing

[mighty gale]

im 15 grade 10

[woven whale]

using your age and/or your school grade as an excuse is just dumb

[mighty gale]

i am not giving an excuse im just telling him that i am at the current time not at that level

[woven whale]

your age/school grade doesn't say anything about your math level

[mighty gale]

yes you are right

[woven whale]

ok

[violet wraith]

ok

[zealous garden]

If we permit some assumptions, it can put a floor on it

[woven whale]

some people in my math class don't know how to divide single digit numbers

like this one person thought 4 / 1 = 2

[zealous garden]

I remember teaching high school students how to carry digits in addition

Well, one in particular

I'm not a teacher, I was just sitting next to him

[onyx pagoda]

interesting

where is this?

[woven whale]

that's kinda racist man

[mighty gale]

from the stereotypes

[mighty gale]

yea kind of

[mighty gale]

now now dont hate me

[violet wraith]

[zealous garden]

Not doxxing myself μωμ

[onyx pagoda]

saying what country you're from isn't doxxing

[violet wraith]

muomegamu

[zealous garden]

Lmfao

US

[onyx pagoda]

oh you're from China? You must be that guy that owns Xinfuhao hotel in Guangdong Province, Foshan, Shunde District, 新兴路10号 邮政编码: 528308

[zealous garden]

How'd you know I was actually Chinese!?!?!?!?

[mighty gale]

@neat lintel

[onyx pagoda]

you see, I'm a professional doxxer, I know everything. I know not only the minutest details of your lives but those of everything around you, for I mention even knowing when a sparrow falls or when you lose a single hair. Not only do I know everything that will occur until the end of history itself, but also know your very thoughts, even before you speak forth. I know your hearts from afar; I even saw you in the womb.

[zealous garden]

Just leave my hotel and my son alone

[wicked jackal]

Touhou 11 third boss be like

[neat lintel]

have you guys ever used the binwalk command in linux

[mighty gale]

@neat lintel so what was the ans?

[storm violet]

Yup

[rustic wyvern]

Istg like half the people on earth use those iPad note/drawing apps for math now lol

It's gotten so popular lately

[storm sage]

Too many!!

[crystal dagger]

chalkboards are for those with good memory

i can never remember what i wrote 2 erases ago

[void tundra]

I cant even remember what I wrote ON the chalkboard lmao

[marble delta]

Høw dø u type the øther x in discørd

[chilly hull]

i like pen and paper

wait not pen

pencil and paper

the only writing utensil in my case are no2 pencils

[brittle socket]

Hi cat bread

[chilly hull]

sup

[brittle socket]

supremum?

[chilly hull]

i proved that if a differentiable function has a local max on m, then f'(m)=0

im gonna try to prove rolles/MVT

[lofty torrent]

i got the trick spoiled for me

but in retrospect I probably would not have seen that based on my skill at the time

[lofty torrent]

[storm sage]

ngl I don't remember how to prove rolle's theorem

oh nvm

[cinder zephyr]

can't do lecture note on a chalkboard

[finite folio]

As far as my computer could go simulating Gabriel's Cake. You're welcome.

[zinc peak]

[shrewd oyster]

h

[rocky iron]

.

h

[grim patrol]

h\

[rocky iron]

okay continuing

servers for physics

and chem

[grim patrol]

ye so i know a server of physics

joined just 3 minutes before

[shrewd oyster]

theres probably a physics server exactly like this too yh

it probably has less ppl

cos maths is more popular

[rocky iron]

is it active?

[rocky iron]

true

[grim patrol]

kinda

[rocky iron]

physics deserves some love too

[shrewd oyster]

yeah

i gotta do vectors

[rocky iron]

whenever my tests go bad physics always comes in clutch

[grim patrol]

about 3.7k members

[shrewd oyster]

all these boring ahh humanities subjects are so annoying

peach which class u in

[rocky iron]

11th

[grim patrol]

exactly

[rocky iron]

vectors-?

[grim patrol]

studying hindi nd sst is so useless

[rocky iron]

which board shashwat?

[shrewd oyster]

cbse prolly

[grim patrol]

cbse

[shrewd oyster]

ye

[rocky iron]

we had mcqs for the first term lol

[shrewd oyster]

im going to do most of mechanics before class 11 (hopefully)

[arctic grove]

Mostly coz people need help with their hw

thats why

[grim patrol]

vectors are pretty simple as far as i did

[rocky iron]

oh ok you're in 10th

[shrewd oyster]

9th

[grim patrol]

what class are you in

i see

[rocky iron]

just study it in math once and you'll start fucking it up in physics too

[rocky iron]

oh okay cool

[grim patrol]

students of class 7th and 8th are doing physics of 11th and 12th in my coaching 💀

[arctic grove]

the vectors in physics is relatively easy

[rocky iron]

same

[shrewd oyster]

lol

[rocky iron]

yeah

this is why i dont like maths

[grim patrol]

i only did physics so i guess thats why

[rocky iron]

overcomplicates things unnecessarily

[shrewd oyster]

our coaching class 9 students dont know addition subtraction of fractions

teachers are good tho i just take extra classes

[grim patrol]

i got a meme for this

[shrewd oyster]

you are in narayana so

[arctic grove]

absolutely doesnt

[shrewd oyster]

btw how much is fee at narayana

without discount

[rocky iron]

I was in class 8 and my batchmates didnt know how to solve linear equations

[rocky iron]

felt smart for once

[rocky iron]

i dunno

its all

[shrewd oyster]

sadly.

[rocky iron]

dad dealing with that stuff

[shrewd oyster]

there is only one guy

but hell take commerce

in 11th

[grim patrol]

in my coaching i either get 2nd or 1st theres this guy who comes in the test with name as fish and gets near same marks as me

good competition = good motivation

[rocky iron]

^

[grim patrol]

good motivation = good study

good study = good rank

[rocky iron]

my score fell for a bit because personal stuff

[grim patrol]

good rank = good job

[rocky iron]

im getting back on track now

[grim patrol]

good job = hapy

[shrewd oyster]

dawg its 3 lakhs for 2 years

💀

[grim patrol]

LMao

i am doing dummy for 11th and 12th

[shrewd oyster]

i am 1st most of the times, just fuck up sometimes in chem

[rocky iron]

did that

[torn willow]

No,as I have experienced it

[grim patrol]

💀

[arctic grove]

This last equality is very not true

[shrewd oyster]

eh

not true

[rocky iron]

have been doing jee prep since 6th

[grim patrol]

wait how

[arctic grove]

[grim patrol]

good job = good money

money = happiness

[arctic grove]

what kind of a sadist would get someone to prepare from 6th...

[torn willow]

The difficult part is knowing what you want to do

[rocky iron]

my dad used to be centerhead for local fiitjee

[shrewd oyster]

i wish i could

[torn willow]

Money is easy

[arctic grove]

again, the last equality is false

[shrewd oyster]

there were tons of class 5 kids in ftre

fiitjee exam

[rocky iron]

he started me early and im still a disappointment

[torn willow]

Just learn web dev or some shit

[arctic grove]

i have no hope for this country

[rocky iron]

ftre is a joke

[grim patrol]

for me its true

Rtx 4090 is my waifu 😍

[torn willow]

ftre is rigged

[rocky iron]

mhm

[shrewd oyster]

u started from class 6th?

[rocky iron]

mhm

[grim patrol]

i f*cked up ftre so hard lmao

[arctic grove]

your waifu wont keep your mental health from collapsing

[shrewd oyster]

bruh wtf

[grim patrol]

75th percentile

[arctic grove]

but i would like a 4090 myself

[torn willow]

So FIITJEE asked us to write FTRE for no reason

[shrewd oyster]

i got 1k ish rank

big bang is better afaik

[torn willow]

Well there is a reason and that is to prevent outside people from getting like 250ish rank

[rocky iron]

I got a decent under 100 rank in bigbang

[shrewd oyster]

peach how good r u doing in mock tests rn

[torn willow]

Also ig inflating the competition?

[grim patrol]

my preboards screwed up ftre

only 1 week to do 12th syllabus then i got 5900 something rank so i guess i am pretty satisfied

[rocky iron]

170 mains 120 adv

[shrewd oyster]

nice

[rocky iron]

not that good

im planning

[shrewd oyster]

eh its decent

[rocky iron]

150 adv 200+ mains

[shrewd oyster]

youll get there

[rocky iron]

its just not happeninggggggg it keeps going down

demotivated frfr

[arctic grove]

dont be

these tests are part tests

[grim patrol]

wake up at 5 am you will get the post nut clarity and mental health will be no issue

[arctic grove]

they dont really determine at much

[arctic grove]

so true!

[rocky iron]

I wake up at 3 and do chem

[shrewd oyster]

peach what uni you wanna go to

[arctic grove]

150 in mains sounds not bad, but when you are right there in front of the computer

it is a lot

[rocky iron]

and ur telling me i still score a 30/60

[arctic grove]

yeah waking up at 3 am doesnt do shit

[rocky iron]

ima just sleep??????

[torn willow]

Just sleep

[arctic grove]

better idea really

dont fuck with your sleep

anything but that.

[grim patrol]

Here is a time-table i follow created by chatgpt

6:00 AM - 7:00 AM Wake up, eat breakfast, and prepare for the day

7:00 AM - 9:00 AM Review previous day's notes and any upcoming assignments or exams

9:00 AM - 12:00 PM Focus on specific subjects or topics

12:00 PM - 1:00 PM Break for lunch and physical activity

1:00 PM - 4:00 PM Continue focusing on subjects or topics

4:00 PM - 5:00 PM Break for a snack and review any material that is giving you difficulty

5:00 PM - 8:00 PM Focus on a different subjects or topics

8:00 PM - 9:00 PM Dinner and leisure time

9:00 PM - 10:00 PM Review all material covered during the day and make any necessary notes or summaries

10:00 PM - 6:00 AM Sleep

[torn willow]

You have a time table?

[arctic grove]

[shrewd oyster]

yall have time tables?

[arctic grove]

I dont

[torn willow]

I think that's probably where I fucked up

[shrewd oyster]

school when

[rocky iron]

doesnt work when my coaching keeps us there from 8 to 9

13 hours o-o

[shrewd oyster]

wait is narayana integrated school + coaching

[rocky iron]

mhm

i go to the

coaching part

[grim patrol]

no school

dummy

[shrewd oyster]

school?

[grim patrol]

with coaching

[shrewd oyster]

damn

[rocky iron]

dummy school with coaching

[shrewd oyster]

my parents wont allow me to take admission in dummy 100%

[grim patrol]

dummy is chad

[shrewd oyster]

our school doesnt force attendance on good students tho

[grim patrol]

normal school is dogshit

[shrewd oyster]

gotta get my rep good

in class 10

so they dont pressure for attendance

[grim patrol]

normal school no jee prep

basic ncert level

[shrewd oyster]

we all know

[rocky iron]

this is what our timetable looks like (its filled till 9 usually)

[grim patrol]

convince parents then 💀

[shrewd oyster]

i mean

i probably could

but tbh i would just become a sad miserly fuck if i just sat inside my room all day

[grim patrol]

listen to music and vibe to it while studying

no sadness

you become a third person getting disappointed in yourself

[rocky iron]

takes your mind off studying if it has lyrics

you pretend you're studying but you're not

[shrewd oyster]

this lamo

[grim patrol]

thts why i listen japanese anime uwu song

[rocky iron]

still takes your mind off of studies

[grim patrol]

or lofi

[shrewd oyster]

shashwat

[rocky iron]

music in general does

[shrewd oyster]

what coaching u going to

in 11th

[grim patrol]

local coaching

[arctic grove]

[grim patrol]

it either really helps or really fucks up

[rocky iron]

im gonna log out now its almost 5 time to study

bye bye y'all

best of luck shyshu

[grim patrol]

https://tenor.com/view/bruh-nawh-no-way-fr-gif-22615915

https://tenor.com/view/uwu-ts-team-uwu-gif-21159211

[arctic grove]

thanks!

[silver meteor]

i love that ditto vid

[neat lintel]

isnt that too long wow

[void tundra]

if I run of latin and greek alphabet for variables what do I move on to

hebrew letters?

[dapper torrent]

https://tenor.com/view/homura-homura-cat-madoka-madoka-magica-madoka-dance-gif-23721015

meow

[surreal sapphire]

if you run out of letters, you rewrite what you have because its horrible

anyways, do not use nonstandard letters that people dont know how to write

[void tundra]

no its just for scratch work

I always clean up after im done

[void tundra]

honestly there's an extent of truth in this lmao

everytime I get stuck I use a ton of variables

[woven whale]

א

[surreal sapphire]

i sometimes use smiley faces and stars

but not really as variables, just as an equation counter

[woven whale]

just start using uppercase greek letters like ΑΕΡΤΥΟΖΗΚΝΜΒΧ

[storm sage]

screw that I'm using Chinese characters

[hallow bear]

Hello is there by anychance a desktop app that uses AI to turn screenshots of equations to copyable Latex code on desktop?

[junior jolt]

theres a website that lets you draw symbols and it converts individual symbols to latex

but i've never seen something that does that

sounds like a cool project

@packam

@neat lintel blocked

not really

[hallow bear]

It honestly disrupts my learning that I can't just throw nice equations to my notes seemlessly

[devout nacelle]

If you're frequently working with equations, it's not bad idea to familiarize yourself with LaTeX

You can then set up Obsidian for taking notes, adding equations on the fly which look nice

[devout nacelle]

(add the community plugin latex-suite to enable MathJax with a lot of useful snippets inbuilt)

[hallow bear]

It seems so yes

[devout nacelle]

Snippets borderline help me do that now

I can type beautiful equations faster than I can write them by hand

[hallow bear]

looked them up seems to have 10 snips per month

which is uhh too low I guess

might just ask chatGPT to spit out Latex equations then

I do engineering so mostly use well known equations

[devout nacelle]

If you see yourself frequently using equations for a long amount of time, putting in some effort to learn LaTeX on the fly is well worth it, imo

MathJax especially is even more minimal

Since you'd only be working with some standard packages and commands directly

And no meta/document level things to be addressed on the level of LaTeX code

[hallow bear]

Maybe, but for now I just need to study for a PhD exam in the next couple of weeks

[devout nacelle]

Ah, okay

If you're pressed for time then maybe you could also look at mathcha.io

It's slightly more direct than MathJax

And common editors

Since it has a dropdown box for commands

[hallow bear]

well perhaps if I succeed in this exam and start a PhD I hope I'd need it

[tight comet]

If your input is relatively clean (not handwriting) then you can use https://github.com/lukas-blecher/LaTeX-OCR

The demo on the \exp function gave me
\exp\left[\int d^{4}x g\phi\bar{\psi}\psi\right]=\sum_{n=1}^{\infty}\frac{g^{n}}{n!}\left(\int d^{4}x\phi\bar{\psi}\psi\right)^{n}

which is incorrect as the sum starts from 0 and not 1, but that is essentially most of the TeX so you only need to add minor changes

[hallow bear]

YEEES BLESSINGS UPON YOU

lovely

[tight comet]

Installing seems to not be that easy, but I can get the model to run relatively well on an active Colab instance

[hallow bear]

hope it runs on WSL because I'm not trying to make command line projects run on windows

Ohh damn, it's not pre-trained? WHY,

[tight comet]

pix2tex should work off the bat

the model checkpoints will be downloaded

[hallow bear]

ahh thank you lovely

[bronze pelican]

https://youtube.com/watch?v=J-4FnbnFIKQ&si=EnSIkaIECMiOmarE

[static loom]

fun problem

for the first problem I observed that we could reflect a path across the diagonal from start to finish and get another path, so I could just count all the paths that start going upwards as the first step, and multiply by 2

then recursively break it into graphs, then contract, etc until I counted them all

idk if there's really much hope than that, seems like it suggests generalizing the problem to counting all self-avoiding walks on all graphs, not just squares, since you sort of end up counting those anyways

[inland raft]

and at 15 i learn congruent triangles 😭

[neat lintel]

wowy

At 15 I had no interest in math

[rocky shuttle]

At 15 I found physics and computer science more interesting than math

[grim patrol]

i am 15 and find CS physics and math more interesting than chemistry

[rocky shuttle]

That still holds for me

[tulip jasper]

At 15 i found nuclear physics more interesting than normal physics and math

[eager reef]

At 15 I didn’t care about any of these

[gusty sable]

I WISH I was into competition math as a high schooler.

It sucks a little to realise that I would have enjoyed it if I had tried it years ago.

[grim patrol]

literally me

[lucid sigil]

Sorry for the late reply, I was on vacation.

The classification that I am trying to make is the following: (Please, if you consider that something needs to be changed, tell me, really I still find the concept of "algebraic" and "transcendent" a bit strange because I don't understand what it really refers to, and I feel that trigonometric functions are also transcendental but I'm not sure)

Algebraic Functions (Here we could find polynomials of any degree, irrational)

Transcendent Functions (Exponential, Logarithmic)

Periodic (Trigonometric, any other periodic function)

Heading (defined by parts, for example, sign function, absolute value function, floor or ceiling function)

Combination (means to add, subtract, multiply, or divide two functions, for example, the rational function that is the result of dividing two polynomial functions)

Composition (Simply any function that happens to be a composition of two others, for example, "y=8^(3x+1)" (Composite Transcendent with Algebraic)

[junior jolt]

lol that sucks

[slow abyss]

Do you like meth

[long matrix]

There are way way more real functions than you seem to think there is

What you have classified is a very small subset

One encounters wacky examples in Real Analysis, but even these are artificial in a way

Basically - the functions we are generally interested in are like this.

They are nice and easy to study

[lucid sigil]

Can you tell me examples of which functions would not enter any classification? I want to know.

[long matrix]

never mind functions - even real numbers

so there are numbers that are 'uncomputable'

by definition, there's no way to write them down. This expands the possibilites

[split oak]

What do you mean by 'not enter any classification'?

[long matrix]

But anyways, apart from this wacky example there are others - all of the examples you list seem to be nice in the sense they're continuous almost everywhere

[lucid sigil]

That person says that there are functions that cannot be classified in at least one of the 6 categories that I said before, that's what I mean.

[split oak]

There certainly are.

[lucid sigil]

Yes

It is a split function

[long matrix]

what is a split function...

in any case, the 6 categories you've listed are rather arbitrary

on the venn diagram of real functions I would say you've drawn 6 random circles

[lucid sigil]

Functions defined by pieces (or split functions) are those that are defined with a specific rule in a specific interval. The easiest examples are the absolute value or sign function.

The Dirichlet function is also defined piecewise.

[long matrix]

I could argue all functions are split functions

I will define their value at every single point

[lucid sigil]

Yes

[long matrix]

You need a more precise definition.

Also note how a function is defined isn't a property attached to it.

There is more than one way to do it

[lucid sigil]

But do you need to define it with a Polynomial? I don't think you want to go to that trouble, plus it would be impossible considering an R domain. Only in cases where you want to have another domain and it's finite

[long matrix]

But do you need to define it with a Polynomial?

Can you clarify

I don't understand what you've just said at all ngl

Fundamentally, a real function maps from R to R, so it assigns to each real number another real number.

in graphical terms, I take the R^2 plane and for each point x on the x-axis, I plot (x, y) for any y I choose

[lucid sigil]

When I talk about functions of a real variable, I mean any function whose domain and codomain are sets included in R. It does not have to be all of R. (✓x does not have all of R as domain).You even choose the domain yourself (to define a function you need to establish the domain, codomain and the analytic expression or rule)

[long matrix]

I don't think the issue of a smaller domain / codomain is worth considering

I can always just extend such by defining the function to be 0 everywhere else

And consider just R -> R (to keep things simple)

[lucid sigil]

What I wanted to clarify, I think that's what you were referring to, is about the fact that all functions can be defined in parts. It's true. But I don't think anyone does. Why define f:R--> R, f(x) = x piecemeal? You're never going to make it. On the other hand, if it is f:[2,3,6,9]-->R, f(x) = {0 if x=2; 10 if x=3; -20 if x≥6} then yes, and it's easier.

[long matrix]

"i don't think anyone does"

My point isn't who does or doesn't

And I don't think that should be relevant

That's not a property inherent to the function

My point about a 'classification' is you should be classifying by properties inherent to the object

In mathematics at least.

Since you can define all functions piecewise (by doing it pointwise), all functions are piecewise.

[lucid sigil]

You can define f(x) = x as "x" if x<0 and "x" if x≥0 Is that necessary?

[long matrix]

'piecewise' is not an inherent property to the function

[long matrix]

It's not about whether its necessary or not though.

[alpine kindle]

this is pure notation

[long matrix]

Let's take f(x) = |x|

How would you define this?

piecewise?

[lucid sigil]

Yes

[long matrix]

Is it necessary?

[alpine kindle]

no

[long matrix]

shh.

[lucid sigil]

If you are going to graph it, it is necessary. If you are only going to calculate an image, no.

[long matrix]

No.

Consider f(x) = sqrt(x^2)

[alpine kindle]

or literally just |x|
that doesn't require defining it piecewise

[long matrix]

I am detracting from my original point - but I want to point out that 'necessary' is not obvious

And its not a well-defined notion like you think it is

[lucid sigil]

The definition of absolute value exists

[long matrix]

In fact, how do you think f(x) = x is defined? Truly, it's actually defined pointwise.

It's the function where the y value is equal to the x value at every point

this is fundamentally a pointwise definition

The same for x^2 and so on.

I don't see another way to define it 'simpler' without resorting to a pointwise defn

[alpine kindle]

define it categorically

[lucid sigil]

Yes, you assign the same value to each value, that's understandable, it's exactly what f(x)=x says, right? There is no doubt that it is so. And that rule is fulfilled that you write "y=x" for any x that you consider, that is, for any x that belongs to R.

All of that can be written like this:

f : R --> R / f(x) = x

And that means what you mentioned above.

Now what can I do if I want my function to return a value y=x+4 when x is negative, y=100 when it is zero, and y=x+20 when x is positive? The above rule can be written like this:

f:R-->R / f(x) =

{x+4 if x<0
100 if x=0
x+20 if x>0}

With this function, you would first pass a "filter" to see what interval the number you put into the function belongs to (if it is positive, negative, or zero). This filter in the function that you mentioned (f(x)=x) was not there, whatever the value of x, it returned the same x, another example f(x)=x+8)

[long matrix]

What mathematicians have done is choose a few specific functions. Like polynomials, trig, whatever (the ones you're familiar with). And then using those we can build more functions

This covers all examples you will see in high school mostly

But I'm saying these building blocks are in some sense arbitrary

And also these building blocks have to be defined in some way anyways - probably pointwise.

[lucid sigil]

It's all I want to cover, for now. I'll be a high school teacher, not a college one. Maybe in the future I should continue researching and learning about more ways to classify them.

[long matrix]

My point is that functions are more general than this and I think its important to grasp to understand

f : A -> B
f = {(x, y) : x in A, y in B}

A function is a set of tuples with the property that

if (a, b) and (a, c) are in the set then b = c

This is the usual definition, and it essentially means that you define them pointwise

For a real function, I can draw any random squiggle on the x-y plane (that passes the vertical line test) and we have one

It doesn't even have to be a connected squiggle

[lucid sigil]

Yes, and most importantly: the second component depends on the first, hence the name "function".

[long matrix]

So I don't think your list will cover me doing random squiggles

[lucid sigil]

I think it can be a beautiful split function.

[long matrix]

what if it's joined up

what on your list is it?

[lucid sigil]

What do you mean by being united?

[long matrix]

And think about the size of the space we're considering. It's R^R. That's a lot of functions

what will this be

[alpine kindle]

where would you put the functions such that f(x+y) = f(x)+f(y) and f(x) ≠ αx for all α in the real numbers

[lucid sigil]

That is a property

[long matrix]

But she's described a property which a lot of functions will fall under

just take any one in that set.

[alpine kindle]

yeah where does it fit in your list

[lucid sigil]

I don't understand why you care that the function is not "joined". It does not matter. It's still function.

[long matrix]

No that's my point

[alpine kindle]

yeah
but where does it fit in your list

of classes of functions

[long matrix]

If you give the idea that functions fall into one of those categories, then students will think such isn't one

[alpine kindle]

especially where does my one fit in your list of classes of functions

[lucid sigil]

I need to know where you got the function from, since it seems that it depends on two variables (x,y) and not on one (of x)

[alpine kindle]

it's one function

takes one input

it's just that if you add two numbers together and put it into the function it will be the same as applying the function separately to each and then adding

I haven't given an explicit definition

because that's physically impossible

[lucid sigil]

Therefore, it seems to me more just a property that fulfills certain functions. Not a function as such.

[alpine kindle]

ok

choose one function

from that list

what category will it fall into

[lucid sigil]

It's like saying "where would the injective function be on your list?"

[long matrix]

never mind that one what about this one???

ive explicitly defined a function on that interval

(ignoring the slight inaccuracies on there)

[lucid sigil]

I already answer you. Above

[long matrix]

?

[long matrix]

u mean this?

split into what

pointwise?

I'm going to tell you now no part of that is a polynomial, trig, log, exp or whatever

[lucid sigil]

Assuming it's not a polynomial function, maybe it's just a piecewise function.

[long matrix]

Piecewise how

if its in pieces, u got to say what the pieces are too

The pieces would fall into your classification also.

In the end - you're just going to resort to a pointwise defn for anything that doesn't fit in your categories

which essentially signifies they aren't complete.

They are a tiny subset of functions.

[lucid sigil]

It can have parts of a polynomial, even some part of a trigonometric. It doesn't really matter which ones. It is inaccurate to find it through a scribble and I think it is the same with any other function that is difficult to recognize.

[long matrix]

it's possible to have a function which are no parts polynomial or trig

[alpine kindle]

Weierstrass function

[long matrix]

never mind me squiggling - I can define functions pointwise with this property

I can make it so that no interval in the domain will satisfy any of the above

No interval (except points) are algebraic, transcendent, periodic or a combination/composition of.

And this will in fact be the majority of functions that exist. So going with those categories is a bit misleading.

[lucid sigil]

I understand what you are saying and you are right. My classification doesn't work for that type of function but then how can I classify those functions?

And as for the Weiertrass function, I haven't studied it yet, I saw that it has a summation and I don't understand how the concept of function with mixed summation works, so I don't know where it would be placed either.

[alpine kindle]

the point we're making is that your classification isn't very good

[long matrix]

I'm trying to point out its futile trying to come up with a classification

You can include the category 'everything else', but this category will actually be huge compared to the others

[alpine kindle]

no i wouldn't say that
you can classify by property vs negation of property

fair

[lucid sigil]

The problem is that I have seen in several places that they use a simple classification of "algebraic" and "transcendent". Then, they say things like "continuous, differentiable, etc" things that to me, aren't really a classification but rather "characteristic". That's why I've had a hard time finding a way to classify them. Just to try to predict their behavior. Maybe I should just do small groups of functions that I know, and then, as I learn more, find features that match (as a family of functions).

[long matrix]

Better would be to think of those 'categories' as 'examples' or 'properties'

Yes, they are properties certain functions have.

Indeed characteristics.

[alpine kindle]

don't try and classify all real functions

[long matrix]

It's hard enough trying to classify all real numbers.

The transcendental class (the everything else one) is again massive

and the same problems arise

[alpine kindle]

the uncomputable class is infinitely larger than the computable class

in fact

[long matrix]

yh so 'classification' is misleading

when it fails to classify most of them

check this https://en.wikipedia.org/wiki/Computable_number

[lucid sigil]

Anyway, I really liked the doodle. After all, it still meets the definition of a function.

Furthermore, the function is a relation, the relation is a subset of a Cartesian product, and the Cartesian product is a set of ordered pairs. I think that the functions that are defined with an analytical expression have a greater dependency (of the dependent variable with the independent one) than the others (the ones you drew, for example)

The Cartesian product can have infinitely many ordered pairs, it does not have to follow a rule that is easy to write, much less easy to find. Of course, there are easy ones like the ones already known, or that is why I think it will be important to put into practice (to my students) the fact that there are functions that do not have to have an "equation".

[long matrix]

I would absolutely avoid giving them the impression that's 'all' possible functions

Even at that level there are exam questions that ask you if this random graph (squiggle) represents a function

[lucid sigil]

Of course, I will not let them be guided by such a minimal rating.

[long matrix]

Outside of these random examples, there are even nice ones you've missed. Such as functions that are best defined as a limit of a sequence of functions

Or integrals

I don't think the error function comes under any of what you've written

[lucid sigil]

Which? I would like to know more about them

[long matrix]

lookup error function

There are others such as lambert, gamma function

iirc they dont come under what uve written

There are many 'nice' functions which are defined using infinite series

including the trig ones

nice in the sense they're used and have this and that property we're interested in studying

===
And this is an important idea to get across to HS students imo - the 'majority' of integrals don't have a closed form solution

[lucid sigil]

but one question: Is it necessary to use two variables or one variable and one parameter for all those functions that you have mentioned? I say this because in the error function I found an "x" and a dt.

[long matrix]

The ones they see are deliberately constructed to be doable

the t is a dummy variable

there is no dependence on it

its like for example
$\sum^n_{i = 0} i$

[long matrix]

There is no dependence on i in this expression

only n

[lucid sigil]

Oh

Thanks, i understand 😄

[long matrix]

iirc solutions of certain differential equations give rise to more classes of functions

Basically there are lots and lots of classes of functions mathematicians are interested in studying - even within real functions

[brittle socket]

Oh no

[alpine kindle]

the gang

[long matrix]

and ryc

[rocky shuttle]

[long matrix]

meow

[rocky shuttle]

mrow

[long matrix]

finally a better chat

[rocky shuttle]

uinta

[tulip jasper]

what does “uinta” mean?

[rocky shuttle]

yamete

[tulip jasper]

a pseudonyme right? unita for winter right? yamete for me right?

yeah make sense

[long matrix]

big brain i couldnt figure it

[rocky shuttle]

shuwi

[neat lintel]

shuwu-chan and winter-kun

[long matrix]

meow

[tulip jasper]

https://tenor.com/view/pat-cat-pat-pat-gif-25250101

[long matrix]

waw

[worldly violet]

How much is 2+2?

[cinder zephyr]

At least 3

[worldly violet]

perfect

[sand wadi]

0

[mild root]

is anyone able to help me with a discrete structure problem?

[orchid flume]

root(8 +or- 29i)

[mild root]

?

[cinder zephyr]

#❓how-to-get-help

[flat harbor]

@lament peak 짜쟌

what shuld i do today

mmmm

woah, dictatorship

do u guys use one room one person

ahh

ye reminds me not forget to apply for a single room

random roommate..

mmm

ah

그런거도있구나

ye that sounds hard

takes a lot of energy to be patient too

ah shit i hope nobody i knows on here

귀척떡밥은 일코하면서도 뿌리는데

한영키 누르면 심연의 깊이가...

ive gone as far as to tell them id like to cosplay genshin characters

ㅇㅇㅇ갔다와

!!!

각

동생 : "야 나 재채기했는데 왜 bless you 안해줌"
엄마 : (멀리서) "아 별꼴이야"

im not sure whos better at english between me and my sis but shes a humanities major

so i concede

wow!

[echo summit]

What does this mean i saw it in a geometry dash level before

[flat harbor]

stay warm

ah shit theyre here

[echo summit]

thank you

[flat harbor]

the more attraction u feel to the person ure talking with

its just how it works

[echo summit]

thats what i thought it might of been

[flat harbor]

kinda like the is in hiiiiiiiiiiiiiiiiiiiiii

[neat lintel]

ㅋ^((100)^100))

[stable path]

please i really need fast help w this.In a right triangle ABC with hypotenuse BC, the difference between the hypotenuse and the cathetus AB is equal to 9 cm. Knowing that the projection of AB onto the hypotenuse is 3.77 cm long, determine the area of ​​the triangle

[fast moat]

!help

[quasi jetty]

Please read #❓how-to-get-help

[dawn ivy]

now say something but in reverse

and every time the letter e coming replace it with 'ping'

[prime adder]

,w cathetus

[fathom swallow]

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

Requested by Mr. Gamer#6658

[prime adder]

Leg.

I have never heard that word be used in reference to a leg of a right triangle.

[sour fox]

Hello, is there any helpers I could talk to for a discussion from helpers to helpers ?

A teacher would be even greater actually

[surreal sapphire]

hmm?

maybe see the channel description of #math-pedagogy

[mint patio]

Obsidian vs Notion for a second brain

Any thoughts?

[tulip jasper]

personnaly notion

[mint patio]

Why?

[tulip jasper]

It is good for organization and taking note for everything exept math and stuff like that but for that i use different app

[tired stump]

I was having problem with good question of limits while I am able to the basics and moderates ones, I was thinking if anyone would like to see and discuss it with me so that I can find out what is that is lingering my questions.
I would like share screen and talk to audio
as the vc has been closed in this server, I would prefer if you dm me.

[tired stump]

for what do you need second brain for ?

[mint patio]

I have ADHD and I fucking suck at remembering things

I want something I can make to-do lists (organized) and write notes in and handwrite my notes and whatever I need

[tired stump]

for maths or other stuffs

[tulip jasper]

haha like me

[mint patio]

There’ll be lots of math, I’m an engineering student

But it won’t be proofs or anything

Lots of computation

Handwritten

[tired stump]

so, instead of app I would like to suggest a course, of Justin sung

best app for task management is Amplenote

and for zettelkasten without maths is Tana

and with maths, there is no one clearly a winner but with a lot of investment of time Obsidian can be turned into one.

[tired stump]

search for icanstudy justin sung on web, i guess this is what you really need

[mint patio]

I see

[tired stump]

have you looked into any of the recommendations what do you feel

[neat lintel]

obsidian is really cool I'm doing all my math notes and homework in it

if your second brain is a lot math then obsidian B)

[neat lintel]

Yo i solved a super hard equation

With no help google or known formulas

It was summation from n=x to x^2, with the equation of N^2

Took me like a week

👌

Mostly cause of procrastinating tho

[split oak]

What does this mean?

[undone wren]

Postmodern math

[fast moat]

solution: (x^2-x+1)N^2

[neat lintel]

Ok draw a function(x) with a summation symbol with x^2 on top of summation, and N=x at the bottom.
The equation inside the summation is N^2

[neat lintel]

Heres a crude drawing

[neat lintel]

find an explicit formula for the nth sum of n^2, then plug in x^2 and subtract off the part from n=1 to n=x-1?

[neat lintel]

Yea thats what i did

The hard part was the explicit formula

I had to figure it out on my own

[cunning compass]

Faulhaber’s formula

[neat lintel]

I eventually found a pattern but i had to just look really hard at it for an hour

[neat lintel]

Whats that

[cunning compass]

A general formula for the sum of 1^p + 2^p + … n^p

[neat lintel]

That must be what i figured out then

👌

I mostly just compared n(n+1)/2 with manually done answers of 1 to X of N^2 until i found you could multiply the answers in the first formula i put in this message, by something like 2x+1(i forgor💀) to get the second answers

If you dont get it i can send picture of what i mewn

[cunning compass]

Yea the formula for sum of nth squares is x(x+1)(2x+1)/6

[fathom swallow]

Frru1ty

[neat lintel]

Yeah thats what i got

Then with that it was pretty easy to get 1 to x^2

And then instead of doing 1 to x-1 i just did (1 to x^2) minus (1 to x) plus x^2

Just cause i didnt wanna over complicate it with summation to more than just a variable

[cunning compass]

Awesome

[dawn juniper]

can someone pls make me understand why tanA=aA+bI for a 2nd order matrix and secondly, why does the eigen value satisfy this relation

[long matrix]

define tan of a matrix D:

never seen dis

series expansion i suppose

anyways, #linear-algebra

[bright hill]

please see #❓how-to-get-help

[long matrix]

i doubt they will get any help in help channels but sure

[bright hill]

they might

and if they don't

we get a reason to yell at them for

win win ¯_(ツ)_/¯

[neon violet]

Hey, Ive probably didnt come too far in mathematics yet but I am geniunely curiosed, why do people use Mathematica over Wolfram Alpha, like Wolfram Alpha is much more friendly and from what I've seen, it can give answer to anything that Mathematica can + it gives you the step by step solution. My UNI have free Mathematica license and I am still trying to find a reason on why to use it, but even when I have free plan of Wolfram Alpha, I still prefer it over Mathematica

[deep mango]

Mathematica provides a lot more capability than WA for more advanced math. If you know exactly what you want, you can program it in mathematica.

[neon violet]

That would makes sense, next semester I have numerical mathematics and ODE's and I know that Maple is used there for HW and lab's, so I am concluding that for the math that is coming up for me it will be useful, anyways thanks for the explanation

[deep mango]

Yeah

Wolfram alpha doesnt really give you fine tuned control over the kinds of things you want to do in numerical methods

[woven whale]

sometimes it does

but only in rare cases

[neon violet]

I have not done any numerical related things yet but I assume its much better for controlling thins like the value of error or how is it called, step and stuff like that while using numerical methods

[deep mango]

Yes, definitely

[echo geode]

hello

can someone help me

in #prealg-and-algebra

i have an inequality problem

[bright hill]

please don't advertise your help channel in the social channels

[echo geode]

sorry

didnt know

[bright hill]

no worries

[echo geode]

where can i ask for help?

[bright hill]

you can either open a help channel, a forum post or post in one of the topic channels

but you should only do one of those things

[echo geode]

Ok where is help channel?

[bright hill]

please read #❓how-to-get-help for instructions and general guidlines

[echo geode]

Ok