#study-discussion

1 messages · Page 12 of 1

rotund jolt
#

2(-infini)

lost drum
#

we take x a variable from the first set

rotund jolt
#

I mean if we take x=-infini

lost drum
#

infinity is not a number

#

we previosly said that a function takes only numbers

rotund jolt
#

ok

lost drum
rotund jolt
#

ok

lost drum
#

[the output of the number ] is a dependent on [ give me here a number]

#

this variable of the output is dependent on the variable of give me a number

rotund jolt
#

ok

lost drum
# rotund jolt ok

so the machine we name it f ; the input we name it x , the output we name it y

#

x belong to a set of numbers ,f(x)=y

rotund jolt
#

OOk

#

But f(x)=y where you add x

lost drum
#

x=1 , the machine gives 2

rotund jolt
#

But what mean y

lost drum
#

x=5 , the machines gives 10..

rotund jolt
#

Here like is f(x)

lost drum
rotund jolt
#

ok

lost drum
#

It's exactly the same things as

#

It means that it's a the same thing exactly .

#

like myself = myself

rotund jolt
#

ok

lost drum
#

but myself =|= to you

rotund jolt
#

ok

#

Logic lol

lost drum
# rotund jolt Logic lol

Yes , So a function when it applies to a number it's like machine of bottle of jus (give the jus product)=a full botel of jus with the product

rotund jolt
#

ok

lost drum
#

if you do machine of bottle( chocolate)=a bottle of chocolat jus .

#

what ever you give It the function will link the product

#

inside the bottle

rotund jolt
#

ok

lost drum
#

Or like school of math (X:person non mathematician)=X mathematician

#

you give it frederic ,it gives frederic the mathematician

rotund jolt
#

ok

#

It's Frederic like + math

lost drum
# rotund jolt ok

So the person is variable , the output is varying in function of the input

lost drum
rotund jolt
#

ok

lost drum
#

were you only allowed to give natural numbers to it

#

and it gives a number

#

like Machine sequence ([give me here a number like 0,1,2,3,4,5,5,6,7,8,9,10..]) = I will give you a real number

rotund jolt
#

ok

lost drum
#

but an exemple one is

#

that a sequence witch if you give it a number it multiply it by three

rotund jolt
#

ok

lost drum
#

like machine sequence [555 ]= 555*3

#

or a sequence that whatever you give it a number it gives you 1.6666

#

machine sequence [100000]=1.6666

rotund jolt
#

ok

lost drum
# rotund jolt ok

That's it then the sequence by testing it's reactions from every natural number you give it

#

you have that machine sequence [0 ] what it gives ? ,machine sequence [1] what it gives ? ;machine sequence [2] what it gives ?

rotund jolt
#

ok

near timber
#

fellas i dont think this is an appropriate conversation for this channel

lost drum
#

mc[3],mc[4]...

storm jasper
jade furnace
#

I should probably also announce that I'm now free from the sin(x) and cos(x) equation demons. I no longer have to graph them and make sin(x) and cos(x) equations based on two points.

#

I wonder what the next hard thing on Khan Academy is going to be.

#

I just finished Algebra 2 and I'm moving onto the Integrated Math sections.

dusky glade
abstract mist
#

Cool

rocky terrace
dusky glade
#

Ye

lost drum
#

,A function like a machine We gave it a box of Objets

#

and it gives us an other box of objects .

#

That's a very good pre-formal understanding for begginers

#

But after little by little It will be formalised ,f=(E,F,G)

#

as G included in E *F ,such as x in E , there's one y in F , f(x)=y.

#

and after for variables understanding there should be a pre-formal

#

like explaining various real world variables , than a bit cutting it from the concret context

#

then formalising that notion .

jade furnace
dusky glade
edgy sierra
#

what if i derive it using a power series

#

or nah it's actually iffy to use a power series for this

jade furnace
edgy sierra
#

yes

#

they do

dusky glade
#

Yeh

edgy sierra
#

khan academy is in-depth on trigonometry

jade furnace
#

Yes! Okay, I’ll be good, then.

#

Thanks for the information!

glacial raven
#

It's fun to decode archaic language of a book with the modern viewhappy

untold glade
#

whats the fastest way to learn math

lost drum
#

We didn't know it . But to always have a plan

#

Having knowledge that gives you plans and multiple strategies

#

To solve a lot of problems

#

1/you study the lessons and take notes actively, ask many questions, 2/ practice numerous examples, rewrite the proofs of theorems, 3/and do sets of exercises in increasing difficulty from easy to hard. 4/ rewrite the solutions from an answer key, making them your own and reformulating them.

#

And for each problem make a to do list then organise into a plan that divides the problem a lot into easy parts .

#

So you follow process easely .

#

And for concepts go line by line

#

By asking clarifications and many questions

#

Because you should work them to know them.

untold glade
sonic root
#

Guys this is not limited to math. But what’s the quickest way to memorise smth. Ik practising questions is good but other than that.

rocky terrace
rocky terrace
sonic root
#

Like memorisation in general

rocky terrace
#

Why do you want to memorize stuff though catthink

#

It's not really a great way to learn something

#

If you want to remember things you've learnt, remember the logic behind it, that's way better than rote memorization.

#

Also nice pfp catking

lost drum
#

The technique is reorganizing data's

#

In a musical order

#

Or puting the informations with mental palace technique

#

Or a weird history .. by encoding

#

It so you when you decode it

#

To it's original form you remember it also repeat in spaced times .

#

Rewrite it a lot.

#

But when you associate a lot of meanings to it

#

There's a chance that you will not forget it.

lost drum
#

In mathematics for exams or when answering an answer

#

Is very important to never give epsilon chance

#

That he will diminish you in you're marks

storm tide
lost drum
#

Truth von Neumann

#

, searching non formal understanding

#

Isn't there.

#

He was 100/100 right and that

#

Réalisation about the truth reality of mathematics is very freeing

#

And unlocking a big potential

#

To work on whatever subject you understood or not

#

But as soon it's well defined

#

So you will not be limited .

#

A game of meaningless symbols with rules of logics in paper

#

That's what only mathematics is and that's where efforts should be concentrated .

#

And von Neumann historically was a formalist .

lost drum
#

And for that there's a lot of rules to guarantee 100/100 mark

#

With the hardest corrector

#

In term of criteria of evaluation .

#

Introduction , middle, final of each answer to a question like an arguing text

#

And creating space in answers , and completeness logical validity and clarity of the reasoning

#

And writing with big words

#

squaring the final results to make them more clair, and saying witch tool or proposition to use before to use it

#

..

#

.but if we go in details there's pages to write about but search online.

sonic root
sonic root
# rocky terrace It's not really a great way to learn something

I disagree for some things memorisation is inevitable. For example in chemistry you have the organic synthesis map. Ofc you learn the concept first but u would need to memorise this. Also memory is a useful technique for example learning languages which doesn’t require too much logique yk? Also I do agree rote memorisation is a passive way to learn but that goes for anything. I js wanted to know any active ways to memorise catglasses . Also sorry if this was long blobcry

lost drum
sonic root
lost drum
sonic root
#

Why do u ask btw @lost drum

sonic root
#

What’s ur method?

lost drum
#
  • me I look for different answers to a problem
#

And I try to extract a lot of plans and ideas from witch

#

I can reproduce them

#

And integrate them in my knowledge .

sonic root
lost drum
#

Then doing them a summary

#

Also rewrite the answer that he did and complet it and reformulate it

#

.. and working for it to make it own and repracticing them

#

Thouse processes when you go to an exam

#

Whatever he ask a question you choose any plan

#

That you wanted

#

And you got 100/100 sometimes we skip

#

Directly for studying actively a lot of answers

#

Than trying to do problems .

sonic root
sonic root
lost drum
#

For a course but skipping to the answers

#

Is a bit faster

#

And we learn

#

More from it

#

Than trying to do lonely by being limited with our own habits .

#

Seek for alternatives from many people and have their knowledge and their work

#

You will probably find that it's better to immitate

#

Thouse who are more powerful than you than trying to create the new way of doing

sonic root
#

Icc thanks for sharing cat_uwu

untold vine
#

I have a matrix algebra exam in 40 minutes, what’s the best way to study? 😂

#

All jokes aside, how do you actually remember what you study, it sounds dumb but my brain goes blank when I’m stressed. And even if I can do all of the practice exams and questions at home, I still bomb the exam.

#

I’m notoriously bad at straight memorizing things as well so remembering formulas and stuff is the main weakness.

#

It’s obviously too late for my algebra exam, but I have a proofs exam on Wednesday that I need to know all of the theorems that we used in class, and I’m scared.

storm tide
#

If you have 40 minutes, then it's too late to study. Focus on getting awake and calm, and getting to the right location in time.

lost drum
#

In the study of mathematical prooves

#

What is you're method to study the prooves of others ?

misty mountain
tawdry flint
#

Flashcards work great for high level stuff and open ended math questions but if you use them for rote memorization, they are really detrimental to learning.

fallen flare
#

is some kinda passive learnin good

edgy sierra
#

write down what's given and what you want to show

#

many proofs also need you to do some kind of trick

#

so it's also good to write down your strategy

fallen flare
edgy sierra
#

proving the bolzano-weierstrass theorem is an example of allat

#

same with the intermediate value theorem if you prove it like bolzano did

edgy sierra
#

then draw closed intervals that are subsets of that

#

the strategy is to construct the interval lengths

edgy sierra
lost drum
small salmon
#

@plain mural so generally the best way to get good at math is to do math. "Talent in math" is actually just "interested in math" coupled with "practice in math" in my experience.

plain mural
#

Ok

#

I understand

small salmon
#

So looking at this, CBSE seems to be indian, and class 10 means that you're on your second year of secondary education.

#

yes?

#

So you're looking at probably subjects such as trigonometry and 2nd year algebra?

small salmon
lost drum
#

Is to know it's truth

#

And it's reality .

#

Gaston Bachelard say: mathematics is a set of acts not superposed knowledj .

#

By knowing the reality of mathematics

#

Everything will be very easy because you will base you're work

#

With the good plan and never one will

#

Arrive to that except the true researcherchers of truth .

#

Who knows the truth and are working with the truth they knew.

small salmon
#

Frankly, that sounds like woo, and gaining attunement to the "true nature of mathematics," or whatever, definitely won't help you understand how to use trig functions to solve a triangle, or solve a system of equations, or a differential equation, or show a function between two groups is a homomorphism.

lost drum
#

But I can be wrong

#

And mathematics is an experimental activity and a science fiction .

#

So when I solve a trig function

#

I will do it in the way my philosophical knowledj was .

small salmon
#

Yes, it is, but what does that get you? That's like saying the true nature of life is chemical interactions between enzymes. Sure, that's true, but it won't help you explain anything about population dynamics of deer vs wolves. Or the breeding habits of moths.

#

It's a shortcut to pretending you understand things without actually taking the time and effort to actually understand these things.

lost drum
#

Who were superior to me and worked very hard .

#

And other reason

#

: is that my knowledj of basical logics

#

That logical truths in math of all statements

#

Were pure formal and all mathematics is just

#

The combinaison of a set of axioms

#

That anything witch doesn't return to axioms in mathematics

#

Is absurd .

#

But meaning of those propositions is not appropriate to mathematics

#

So all mathematics is meaningless except if we attribute it .

small salmon
#

Saying that all of mathematics reduces to axioms is missing the point. Of course it does. There are even multiple sets of axioms from which you can make all of mathematics. My point is you don't appeal directly to the axioms of mathematics when you're solving any particular problem. You appeal to the definitions of the given field. If I want to integrate a function, I wouldn't start from the axioms of set theory then construct the natural numbers, then construct the integers, then construct the rationals, then construct the real numbers, then construct the notion of a relation, then construct the notion of a function, then construct the notion of a metric space, then construct the notion etc etc etc

#

Instead I would use the definition of derivative, and the fundamental theorem of calculus, to compute the antiderivative, and solve the integral.

#

Actually, I wouldn't even use the definition of the derivative. I would use the derivative laws that are derived from the definition of the derivative.

#

The point is none of this comes for free with the axioms of mathematics. There are entire fields built upon these axioms and you have to know details about the fields that you are in. Simply knowing the axioms of mathematics won't help you.

#

@lost drum does this make sense?

lost drum
#

truth .

#

But combinaison

#

Of axioms are limited with

#

And , or, no ..

#

So with thouse combinaisons and the axioms all possible mathematics

#

Is resulted.

small salmon
#

There are foundations of mathematics that do not appeal to first order logic separately. My understanding is, this is one of the reasons for homotopy type theory being as popular as it is. It's a "univalent" foundation of mathematics. That is to say the first order logic is baked into the definitions of type theory itself.

#

But I could be wrong, and somebody will be along to correct me if I am

lost drum
#

Is the Microsoft in mathematics

#

It's more common maybe then

#

All others.

#

And then most of mathematicians

#

Have just a bit of logical knowledj .

small salmon
#

Have you taken geometry?

lost drum
#

No

small salmon
#

Really? Did your school not offer it or have you not taken it yet?

#

Anyway, I would like to prove to you that the axioms of mathematics are not really relevant to most practical problems that you'll experience in mathematics. Even purely theoretical ones.

#

So I will tell you that it is a fact that, in a euclidean space, the sum of interior angles in any triangle is 180°.

#

My challenge to you is to prove it starting from the zf axioms And first order logic. You may take or leave the axiom of choice, your call, it shouldn't be relevant.

#

||You will find the task to be impossible, because formally constructing many of the elements that are required to prove this is well beyond the ability of anyone who is otherwise ready to discuss the angles of a triangle. This is why in geometry courses we talk about Euclid's axioms of the plane, because they are a far more suitable basis for most of the work we do in geometry.||

#

||And in fact, Euclid's axioms of the plane were the axiomatic foundations of much of mathematics for over 2,000 years, The fact that we constructed the axioms of mathematics on set theory is almost an accident of history.||

#

@lost drum ^

lost drum
#

=axioms+{and,no} connections between them .

#

If it's not defined above axioms it's absurd

#

It doesn't belong to our mathematical system .

small salmon
#

The problem I gave you is possible to do, it just requires understanding far more mathematics than you understand.

#

I assume.

#

You would definitely need to be a 3rd year undergrad in mathematics to approach this problem with the level of sophistication required to give it a rigorous treatment. (And this is not something that we should require 8th graders to go through before we teach them geometry.)

#

(Because in order to define a space in which you can start operating in, you have to understand how to define spaces at all, which requires an introductory course in topology.)

#

@lost drum ^

#

(You'll need to define real numbers to handle the addition of arbitrary angles, and that's going to be in a real analysis course.)

#

(There's probably other things that I am missing as well)

small salmon
# lost drum If it's not defined above axioms it's absurd

Also, a minor point on this. It was proven in the 1920s or 30s by Godel that all axiomatic systems of mathematics are either incomplete or inconsistent (or both), so it is possible to find statements not provable in any consistent axiomatic system. I.e. it can be true and it can also be false, the system in question doesn't make a claim either way. This means we can choose it to be true or choose it to be false and add it as an axiom. For instance, the continuum hypothesis says that the cardinality of the real numbers is the 2nd smallest type of infinity after the naturals. This is independent of ZFC. Would it be absurd to claim it true and add it to our axioms, ZFC+C? Maybe, but then again ZF+C was a similar situation. Any axiom system is a set of choices made by people, they are not perfect.

proven anvil
#

I found Fourier Motzkin elimination on GitHub simple, and MIT licensed and rather recent, no more help needed. X E.

lost drum
#

It's truth .but the proove of card (R)>card (N)

#

Is it not done with what is

#

Build by axioms ?

#

I remember the proove was well defined

#

But as 2nd infinity among all infinities is absurd for me .

#

I dont know if There is a set J, card (R)>card (J)>card (N) .

#

And then the propositions non constructed well

#

they are raricime and fastly corrected or avoided .

#

But you were right

#

About the weaknesses of pure logics ..

#

And thankyou so much @small salmon

lost drum
#

And after

#

It has limits in applying mathematics

#

Like the non conventional models

#

And dimensional analysis ..

#

All is latter is formalised to axioms

lost drum
#

Also the use of infinitisimals and so we can not reduce subjectivity in Mathematics in its historical origins is mostly immense and deeper tha n that.

#

As a sociological phenomenon .

#

The best works are not the most formal, generalised one ..

#

But the richest in being

#

the most useful and good and benificial for communities

#

Witch brings the best Life and in that the pure formal mode of thinking disconnected from anything is the most unproductive and non creative outside of the box .

dusky glade
#

How to not burnout every month? I would like burnout to be less frequent

dusky glade
#

Ok thank sir

pastel meteor
#

quite a basic ques

#

but if the 2 A are identical

#

shouldn't ans be 8c1

tawdry flint
#

@pastel meteor 28 is correct, how did you get 8 please reason your working so I can help you out

#

This channel is for study discussions

small salmon
# dusky glade How to not burnout every month? I would like burnout to be less frequent

Here's some ideas in the form of questions, but of course what makes sense for me might not line up for you.

  1. Am I taking on too much work? (If you are taking on too much work, then there's essentially no way to realistically avoid burn out.)
  2. Am I pacing myself correctly? (If you leave work for the last minute, then you spend a lot of time panicking and working less effectively, this also can contribute to high levels of stress and/or anxiety.)
  3. Am I taking breaks? (5 minutes for every hour, stand up and look at something else a little bit.)
  4. Am I hydrated/fed/taking care of my basic needs? (Sometimes, something as simple as a shower can help a lot.)
  5. Am I using my resources correctly? (Are you working in a study group? Do you mesh well with them? Are you working with your TAs or other course help?)
  6. Am I taking breaks doing things I enjoy? (Sometimes, recreation in the form of internet addiction/doom scrolling, can hurt more than it helps, and it bleeds over into your work life and makes you feel miserable. Remember, if screen time and paper time is work time, then maybe recreation can be novel time or board game time or if you're an extrovert then club time or something, I don't know what extroverts do.)
dusky glade
#

Hmmm, I need to change up a few things. Thanks for the suggestions â˜ș

sullen fern
#

Do you prefer to do math homework in one sitting or sporadically throughout the day, assuming you grasped the concepts already?

lapis beacon
#

Can someone tell what music should I listen to while studying? Should I completely avoid music while studying?

worn dove
#

I generally avoid listening to music while studying, sometimes I listen to calmer albums with no vocals (some of nine Inch nails for example). If it's a boring repetitive task I need to slog through I listen to whatever

lapis beacon
#

Oh, thanks!

obtuse hedge
#

Hello, i have to give calculus in a month and a half

#

is it adequate time to get a passing score

#

is there someone here who can help me with that/

#

on DM

#

s

edgy sierra
#

yes for single-variable

#

but you need to study efficiently everyday

obtuse hedge
#

it has limits, continuity and integrals

#

and derivatives

edgy sierra
#

yeah that sounds like single-variable

obtuse hedge
#

also i have another math subject called calculativ mathematics

edgy sierra
#

are you sure it isn't an analysis course

obtuse hedge
#

with Taylor series

#

its a first year math subject to a computer science degree

edgy sierra
#

ok

#

yeah one month is enough

obtuse hedge
#

i have several math courses to pass for getting my degree

#

calculus 1, probabilities and computational mathematics

#

the last one is very hard everyone in the school struggles

edgy sierra
#

taylor, maclaurin and power series stuff needs calculus

#

that's why

obtuse hedge
#

and the professor says i have to known derivatives for that

#

on a very good level

edgy sierra
#

you need to be good at derivatives and series tests

obtuse hedge
#

so 1,5 time is adequate

#

given a 2 hour involvement with that

#

?

#

I have the Thomas book on calculus

#

should i need more?

edgy sierra
#

around 2-3 hours but do the exercises

obtuse hedge
#

ok thnx

#

so thats only for calculus 1

#

?

#

or the taylor series as well

edgy sierra
#

single-variable

lost drum
#

Hi,

#

I didn't know how to manage my time

#

There's a lot of advisors and I dont know the best ?

sonic root
#

Or use tools online such as notion to create a plan

#

Another tool I found very helpful is the Eisenhower matrix

#

Oh and giving rewards or future treats as a way to motivate yourself is also good

rocky terrace
#

Omg how do people even get to the point of burning out? I'm having the opposite problem, I'm not working hard enough, I'm taking too many breaks, getting sucked into yt shorts or whatever soynoo

#

Please teach me how to burn out 🙏

storm tide
#

"Not working hard enough, procrastinating all the time" is one of the signs of burnout.

rocky terrace
#

How did I burnout by doing literally nothing all day long stare

#

for months

#

I've never worked hard enough to burnout, for more than a few days in my whole life lmao

outer rapids
#

because a scary amount of my time every day is lost to youtube

lament heath
#

what do people watch on yt

rocky terrace
#

at least if you're talking about me

rocky terrace
#

Because I need it for communication and stuff

outer rapids
#

discord is not as bad

#

in that case have you considered uninstalling youtube?

#

youll still have access to it on your browser

rocky terrace
#

let me do that rn

#

I did disable youtube earlier but then I installed it again because I thought I could control myself soynoo

#

You when you're in a "who can have the least self-control" competition and your opponent is me: bleakcat

#

Woah congrats!!

#

donuts are good

#

T^2

dusky glade
#

Damn, I blocked YouTube today, and started studying with the "only a few minutes" mindset, and even though this usually doesn't work today it did! I solved 2 exercises in 70 minutes! Happy😊 😁!

dusky glade
# rocky terrace for months

When that stuff continues for months I think I would consult a doctor... But idk I'm not a doctor in the first place đŸ˜¶

#

I just hope you're okay man

rocky terrace
rocky terrace
#

I was studying just now 🗿

dusky glade
winter nebula
#

@rocky terrace sup neamesis

#

what are you studying nowadays

lost drum
#

divise the task into steps and start with little part of it .

#

,repeat Saying for yourself do it now , do it now , do it now ..

#

then attack it whatever the situation .

#

use 10 minute rules , when you want to take the break about you're task

#

move it to 10 minute , when 10 minutes finishes turn it to 12 minutes ..

#

But you should have complet knowledj by clarifiying and thinking before , and verifiying .. for that you're work will be certainly well done

#

and you should have a plan from with to apply you're knowledj and in that it must be active not just passive when you acquire it .without a plan you will be confused with +infinity of possibilities and you will be divided much and have no guide but when you follow step by step you will have a real sens of progression.

#

finaly give a deadline for you're task

#

exemple at 2/5/2026 hours x it's finished .

#

Source: brian tracy :eat that frog , Nir eyale :indistractable .

lost drum
#

@near timber

near timber
lost drum
#

what will you say ?

near timber
#

say to what

lost drum
near timber
#

i am not a part of this conversation

lost drum
solemn crest
#

Can anyone teach me algebra

outer rapids
#

^ joke answer, do not take this seriously

steep grove
#

delete instagram, discord, etc.

steep grove
#

do you have anyone important on discord

#

idk about you but i have everyone in real life on other socials

#

for YouTube, make a new profile and turn off watch history so it doesn't give recommended videos

#

and only use it for music and education videos

steep grove
wary venture
#

for someone not from a math background and self studying abotts real analysis im having trouble doing the problem sets. anyone have tips, it feels like im going at a snails pace

gloomy dawn
wary venture
#

is it suppose to feel like this lol, I cant do like half the problems without looking at solutions

#

alot of it is like wow thats clever

gloomy dawn
wary venture
gloomy dawn
edgy sierra
#

especially if you haven't taken linear algebra or an introduction to proofs class

normal sleet
#

Over time you'll notice patterns and build your bag of tricks
Then it'll become easier

#

Also since youre doing analysis
Draw pictures, it really helps

karmic torrent
#

try coming up with your own examples for stuff, can be quite helpful

main lodge
lost drum
#

To learn logics

#

And algebra first.

#

Because the book of analysis is written with the language of set theory and logics

#

Like the caractérisation of séquences, integrals, supremum,infremum bounds..

#

So analysis is a spécial case of algÚbre.

#

And any problĂšme that you solve

#

Needs the proove of the solution

#

And for knowing what are valid and unvalid prooves

#

And formulation of hypothesis, conclusions ..

#

All of that belongs to logics.

#

And then what was in high and middle school

#

was essential to not only have the knowledj but that thouse skills must be in second inconscious nature in you

#

Without needing consciousness efforts with them .

#

But if you havent did many tasks befire and studird difficulties are going to increase .

#

So start soon from the basics or tasks will be very big for you.

#

And you should memorise not only the courses

#

But second nature inconscisnous skills must be repeted

#

To be fully downloaded or you will lose by time thouse algorithmes and automatism ..

#

So all is summed up in the two questions : have I complet knowledj and have I classical skills about my knowledj ?

edgy sierra
#

it's the study of sequences, limits, continuity, spaces, etc

proven anvil
#

I think I finally got it, simplex solver from GitHub for linear inequalities, minimums and maximums by linear optimizing. X E.

proven anvil
#

Would anyone like to discuss how to project in 4d+ spherical or hyperboloid graphics?

#

Also, is there like a Gaussian elimination for it?

mint ginkgo
#

burnout sucks kids

timber blade
dusky glade
#

Damn, everyone is sharing their burnout stories... Kinda sad that so many had such negative experiences 😕

I got mental illness from the " bleakkekw bleak bleakcat " I experienced in high school, and long story short I ended up studying maths as an online degree at my current uni.

Now I'm medicated and healthy at a level I can actually study approximately 2-4 hours a day, and though my life is not full of achievement, it is full of happiness 😊

...is what the hypothetical me would say if I was completely burnt out , BUT WE ARE SO BACK BABY😎 🧠 📚 . THE GRIND HAS JUST BEGUN 🐐 🐐

thorn prairie
#

Hi

green terrace
#

We burned out well over a decade ago and after several years of abuse laid on top of it (before and after the burnout begun) alongside a burning hatred of maths planted within us by several people around us because apparently we were never good enough at it led to a lot of issues. Now we're unmedicated, barely surviving uni, and very interested in a lot of very random maths, so uh...yeah. It's lucky if we pick up a textbook for more than 30 minutes a day, most days it's just 0.

glacial raven
#

That's an unhealthy amount

worn dove
#

wtf how

#

You did that many courses this semester??

#

That's actually awesome I hope they do this in my country too

rocky terrace
#

I want donuts now

#

Damn you

deep dirge
#

đŸ©

#

🎅

main trail
#

How normal is it to forget basic math a sem or 2 after doint a course( say line integration)
and How do I avoid this

#

The problem is recalling the formula, I can do line integration, just given the formula

#

but for instance I didn''t recall it until I saw it

#

similarly I don't recall green or stokes theorm ( granted I've literally never used this other than in one exam, but still)

#

Ofcourse the excuse I have for myself is : You never really prove any of this, so it's expected you'll forget it soon enough

brazen mist
#

Forgetting details in a previous course you have taken already is T5

main trail
#

T5?

brazen mist
#

completely normal Hausdorff

main trail
#

but forgetting key theorms like greens 😭?

brazen mist
brazen mist
#

Repetition is quite important to retain the information

main trail
#

just in vector calculus

#

Would have used it had I done differential geo this sem, but I didn't

brazen mist
#

I forget most of the things I never had to use in research

#

But the things I regularly use have become second nature

main trail
#

Like I've done a LOT of LA , so I do remember a fair bit of it, and even if I forget something I can just derive it again

#

Thanks so much!

jovial sparrow
#

often you will find that you learn a lot more the second time around

main trail
lost drum
#

All mathematics of the earth was from people who were working very hard

#

Read the biography of leonard euler .

lost drum
#

The group of hypothesis and tools are summed in the introduction

#

Witch gives one proove to the conclusions .

ionic depot
jade furnace
#

Finally completed Integrated Math 2!

#

I'm moving onto Integrated Math 3 before doing Trigonometry and then Precalculus.

ionic depot
#

Wow, impressive

jade furnace
#

Thank you!

#

What grade am I at roughly now... 11th?

#

I completed Algebra 2 recently, which I took in the 10th grade.

ionic depot
mint ginkgo
#

@reef ocean

would u recommend switching from Notion to Obsidian?

I started using Notion non-stop 2.5'ish years ago, and I got soo much notes and projects and attachments and databases that transferring them to obsidian literally would take years

so ig only starting new projects from scratch or transferring really important ones

reef ocean
# mint ginkgo <@700814540626984980> would u recommend switching from Notion to Obsidian? I ...

I've only tried Notion for about some minutes while looking for corporate-ish organization tools, it's great for that use case if you can pay the subscription, for personal organization it's not a bad tool but I like how Obsidian is way more customizable overall. I would recommend it for its flexibility and so you can own your data, rather than rely on a proprietary cloud service

my current setup is one big Obsidian vault where I keep both notes (which can be e.g. course notes, daily notes or just quick plaintext notes with no formatting) and .pdf files I'm reading, synced across all my devices with SyncThing which I strongly recommend https://syncthing.net, with the following plugins:

#

the workflow with these plugins is like, you can use Meta Bind to build interactive GUIs with buttons, text fields, etc.; bind these buttons to create files according to some template with Templater; then you can query specific files in your vault with Dataview

on top of that I use Tasks to well keep track of tasks opencry and the rest of the plugins are for more particular stuff, these four are the core of my vault I'd say

#

Obsidian recently implemented Bases though https://help.obsidian.md/bases I haven't really tried that out but it's an official alternative to some things implemented by these plugins

barren remnant
mint ginkgo
jade furnace
barren remnant
jade furnace
#

Thank you!

barren remnant
#

You're welcome!! đŸ«¶

jade furnace
#

After Khan Academy, I'll probably use Math Academy or something like that.

barren remnant
#

Okiee!!!!!

jade furnace
#

My plans after that are either Number Theory or Topology.

barren remnant
rocky terrace
rocky terrace
jade furnace
#

Also, I've done High School Geometry before.

#

Technically twice.

winter nebula
#

Guys

#

what do you suggest for not getting stuck with the math when doing physics?

#

when solving diff equations and using fourier series stuff etc, or using approximations using taylor series to simplify certain equations

#

how to get the fluency for that?

#

I've looked up on mathematical methods books but they feel really dry

royal basin
#

usually you would want complex analysis background for analytic nt but apostol doesnt require that as a necessary prereq, ofc complex analysis background would be preferable but thats not a problem

foggy horizon
royal basin
#

i am not really sure bc i have never seen a discrete math course, i hear that its bits of elementary nt, combinatorics, graph theory etc... It would probably help you with mathematical maturity, tho personally i would say that you can open a (proof based) linear algebra book like FIS and start a bit with it alone to see if you can follow or no.

The point I am trying to make is that you might not need to take a course in discrete math if the purpose of doing that is developing mathematical maturity since courses like linear algebra also serve as kinda an intro to proofs, ie proofs there are usually beginner friendly in the sense that they are written in full details etc.. (at least it should be in such a course in uni from what i know)

foggy horizon
#

Ok. Thank you for your advice

#

I’ll keep this in mind

royal basin
#

but i cant give you a precise answer because idk your background/abilities, yk what i mean. So the only way to more or less know an answer to your question is to try (proof based) linear algebra

#

i am saying proof based linear algebra because there are books on the computational side like strang's book

foggy horizon
royal basin
foggy horizon
#

Sounds good

royal basin
foggy horizon
#

I’ll take a look at FIS then when I’m up there

#

Thank you 👍

royal basin
#

there are much more books too if you want, which you can see if you go the pinned messages in #book-recommendations and scroll down till you see a list of LA books

royal basin
#

yea then you probably dont need a discrete math course ig, you should presumably be fine if you get through a part of the intro proofs book (tho i am not sure since idk the book)

royal basin
foggy horizon
foggy horizon
royal basin
normal sleet
#

Provided you can mentally filter out the nonsense that shows up every now and then haha

royal basin
#

sotrue

swift tartan
#

I didn’t understand if you wanted a technique to being able to do the physics problems easier or something but honestly even to this there really isn’t

#

iirc since you are in hs then just do khan academy AP Physics

winter nebula
winter nebula
#

it's kinda impossible to rote learn and apply

winter nebula
winter nebula
#

these

viral osprey
#

People develop skill in solving problems by basically just spending a lot of time doing problems.

#
  • learning/doing lots of math I guess.
#

You see tricks elsewhere and think to try them or you spend a lot of time bashing your head against the wall trying any old thing you can think of until something works or you give up.

#

It's good to think of how productively you are struggling I guess.

#

Productive struggle to me is not knowing the answer but still in the stage of just trying stuff (or having stuff to try).

#

Unproductive is when I've tried every thing I can think of, looked through my book and any other reference I can find and haven't found a single useful idea I haven't tried already.

#

When things get unproductive it's good to start talking to people and asking for help.

storm jasper
viral osprey
#

Idk what you mean?

#

When things get unproductive it can be pretty demoralizing for sure.

#

Usually most of the emotional part of it is frustration + physical stuff like being tired or hungry or whatever.

#

The frustration is usually not a big deal. The other things are also easy to fix.

#

Usually by taking a break, quitting for the day, eating food blah blah, depends on what you need.

#

Often after resting on things you come up with new ideas to try.

storm jasper
# viral osprey Idk what you mean?

Well, I literally just got rejected from Penn. so when I feel tired or want to stop I force myself to keep going to prove to myself something (I know it’s very flawed)

viral osprey
#

Idk if forcing yourself or not really matters.

#

You just eventually run out of things you can think of to try if you spend enough time being stuck.

storm jasper
viral osprey
#

My undergrad was much worse than psu or upenn and I managed to get accepted to a grad school that I think is decent and that has people studying things I'm into.

#

I have also seen students from much much better undergrads than me in my program and they don't strike me as particularly special besides maybe having taken a couple more grad courses in undergrad.

viral osprey
#

Pretty small state school

storm jasper
viral osprey
#

Part of the purpose of undergrad courses is to actually certify "hey this person knows undergrad content"

#

Idk if outright trying to skip undergrad courses is always advantageous compared to just taking undergrad courses and acing them.

#

I don't think you actually even can skip grad requirements at my current school.

#

You'd have to take the prelims and intro grad courses regardless of what you did in undergrad here either way.

#

Other programs may differ.

#

I guess my point is you are wasting your time trying to optimize for requirement systems you don't even know that are multiple years away.

The purpose of undergrad imo is to learn a particular set of basic skills and to expose yourself to new math you might not otherwise see. The former being more important than the latter. So if I were you I'd frame things more with those goals in mind.

viral osprey
storm jasper
#

Ur

#

Ye

viral osprey
#

That doesn't provide much in the way of assurance that you actually learned the things you claimed to have learned besides you vouching for yourself.

storm jasper
#

That is true

viral osprey
#

Self study to me at least is mostly just about getting good at stuff.

storm jasper
#

I do it for conceptually understanding stuff

viral osprey
#

It's helpful in school because it gives you a head start on stuff you may take later, provides connections to things you are learning and all that other good stuff.

viral osprey
storm jasper
heavy needle
storm jasper
viral osprey
#

From the ug pov, somebody has to eventually submit grades that effectively say either "this person learned X" (or not).

#

It's not foolproof but there's an element of verification/vouching

storm jasper
viral osprey
#

Nah, that's not the same lmao

storm jasper
#

Honorable people obviously

viral osprey
#

Like, when I grade people I have to ask myself "does this person get the thing they were supposed to learn here"

storm jasper
#

R u a ya

#

Ta

viral osprey
#

I have TA'd and taught lol

viral osprey
#

Eventually I have to submit the students grades for the class to the admin folk

storm jasper
viral osprey
#

Mmm idk if that's entirely possible

#

Even in regular courses bias is an issue

royal basin
#

unfortunately unis cant care about what you have self studied tbh, like they wont be testing you to check if you know what you claim you do and you dont really have a way to prove your claim

viral osprey
#

The feedback and evaluation coming from an outside source is valuable imo though

storm jasper
royal basin
#

unless you create a situation where you could show what you know in the presence of someone who could convince the admission team then you wont get anywhere

#

and idk if there is a way to create such a scenario lmao

storm jasper
viral osprey
#

Say you do

heavy needle
viral osprey
#

And you send them a giant giga list of all books, notes and problems you've gone over. Does that show them much besides you being able to read and write?

#

What if the whole list is plagiarized?

royal basin
viral osprey
#

What if they admit you and you can't pass the prelims?

storm jasper
#

Or like

#

Explain everything

#

I’m not Mike from suits

viral osprey
storm jasper
viral osprey
#

In my program two failed prelims -> you get kicked out

royal basin
storm jasper
viral osprey
#

The "more studying" you can do is limited.

storm jasper
#

So like if I take an alg geo class rn, but I don’t have abstract alg taken

#

Then like

#

Would that count

royal basin
storm jasper
#

Like define it

viral osprey
#

I'm saying eventually you will be expected to perform on the spot (typically via actual tests) and people will be forced to assign grades to your performance.

#

Self studying is good. But people are trying to objectively evaluate students both for assigning grades and for admission purposes.

royal basin
royal basin
#

the point is that you should have some kind of proof

viral osprey
#

Part of the issue is that grad courses are harder to evaluate than undergrad courses.

#

I have taken grad courses where you have zero obligation to do anything.

royal basin
#

if you only have your words then that wont get you anywhere in the admission's eyes

viral osprey
#

With most undergrad courses there's usually some method of evaluation.

storm jasper
#

I guess self study prepares me for lower undergrad courses up to like abstract alg

royal basin
storm jasper
#

I can study grad school topics (and I will before I turn 18) but it won’t be enough?

viral osprey
#

Just do your best to learn all the basic undergrad content, try and ace all those courses, try and get in a couple grad courses and maybe an undergrad research project with a prof.

#

In roughly that order of priority

viral osprey
viral osprey
#

It's just that grades, admissions and bureaucracy are a clusterfuck lmao

storm jasper
royal basin
#

yea thats reality, nothing can be done about that. If you have some relations with prof(s) in the said uni who can kinda influence the admission's decision then you might be able to do something hmmcat

viral osprey
#

Typically you do that by getting profs to write you good letters.

royal basin
storm jasper
#

Maybe I should just go into business

viral osprey
#

Which means you took them for courses, did well in their course, maybe did some research projects etc.

viral osprey
#

Well I don't think it is.

royal basin
#

if you want to do math then i dont see a reason to not do it from what you have said until now lol

#

just because you didnt get into this or that uni isnt the end

storm jasper
#

I don’t want to deal with the technicalities of the math world

royal basin
#

you could aim for a better uni for masters/phd

storm jasper
#

I just wanna explore

viral osprey
#

The real analysis one I just took courses with.

royal basin
#

thats how admissions work in general

viral osprey
#

The ca one I took a course with and did an (unofficial) pointset reading course with because my ug did not offer that in the ug program and I was at max credits

#

The alg prof I also did a summer research project on some number theory topic with

#

None of this is anything special. Like, I just did undergrad and got good grades, then I did a couple extra things besides that.

#

Since you are already starting at higher level math than I did when I started ug you can probably do more than I did.

storm jasper
viral osprey
#

Wdym?

storm jasper
storm jasper
#

Idk

#

Lot of beefing

#

Weird to even enter the world

#

Lot of weird technicalities

viral osprey
viral osprey
#

Except maybe a bit nerdy and reclusive.

#

I wouldn't let internet nerds decide what the culture is like irl for you.

storm jasper
#

I should lowkey study like

#

10 hrs a day

royal basin
# royal basin thats how admissions work in general

like rn i am in a trash online private uni because i was forced to get into it for reasons, and now i am planning to try transferring into a public uni which is really good. If it works then thats good, if it doesnt then i would have to continue in this online uni and there wouldnt be much of a choice in front of me. But thats not the end of the world lol.

if i just get depressed and give up or whatever then nothing will really change, i wont see the admissions of that uni telling me its alright you can get in even dw about transfer exam. Instead, life will continue normally and no one (except family and close people) will care lmao

viral osprey
storm jasper
#

Erdos worked 19 hrs on just math

grizzled bluff
#

yo guys

viral osprey
#

You don't want to overwork yourself or make yourself hate math.

storm jasper
storm jasper
#

I have no female and no one likes me besides a few close friends

viral osprey
storm jasper
viral osprey
#

At the time it feels important, but that doesn't mean other things can't/couldn't be important.

grizzled bluff
viral osprey
#

Erdos is also not a great example to base your life around.

royal basin
#

yea things will probably work out nicely (hopefully)

grizzled bluff
#

exactly

#

U cant js

#

be eridos

royal basin
#

tho i have to study for the language which sucks

viral osprey
grizzled bluff
#

well he also put that mich work

#

because it wasnt like today

#

where we habve advanced technology, quick yt videos etc

viral osprey
#

I have worked jobs with some wild hours in which people have been overworked to the point of getting killed or hospitalized due to accidents while driving or things along those lines.

grizzled bluff
#

eridos didnt have organic chem tutor

storm jasper
royal basin
storm jasper
viral osprey
#

Your health is important. You aint gonna be doing much math if you wrap your car around a telephone pole and die.

viral osprey
#

You won't be doing much math if you overwork yourself until you hate it either lol

storm jasper
#

Have you heard of the saying

grizzled bluff
#

wait

storm jasper
#

Genius lies one story above madness

grizzled bluff
#

why do i have u added

#

ohh

#

bro

#

ur still in high school

#

ts cant be that deep

#

go do a sport

viral osprey
#

Which story do car crash victims lie on?

#

It's nice to romanticize things

grizzled bluff
#

ts guy

viral osprey
#

But you want to also take care of yourself along the way!

grizzled bluff
#

dootdooter

#

Lol

viral osprey
#

It's fun

#

Math I mean

storm jasper
storm jasper
grizzled bluff
#

oop

viral osprey
#

You get my pt

grizzled bluff
#

i assumed this meant

#

ur in hs

#

sorry lol

storm jasper
#

I’m still on real analysis cause I’m lazy asf (this all changed with Penn rejection)

royal basin
viral osprey
storm jasper
storm jasper
#

I just like manifolds and topology

#

And

#

Idk

#

Alg top -> hodge conjecture
?!?!

storm jasper
#

LIKE

viral osprey
#

I think there's an element of that. But a lot of hobbies come with some fantasy of being this or that. Math is also just a fun thing to do.

#

I think the ppl that do it long term tend to be more motivated by things along the line of the latter.

heavy needle
#

Not sure if that answers

royal basin
#

but yea that answers the natural question

ionic depot
#

Miracle I didn't end up in a ditch blacking out so often

viral osprey
#

You could hurt yourself or somebody else.

#

If it's real bad you can usually just pull over somewhere quiet for a quick nap.

storm jasper
royal basin
devout sun
lament heath
#

what are appropriate consequences for getting a B on calc

lost drum
#

some of us studied a lot and they prepared well but they didn't getted unexpected results like you expect 20/20 mark but you get 13/20

#

points are loosed because of lack knowing how to write well solutions .

#

First :say what you wanna do like let's proove that f is integrable second :say what is gived , what are the data's of the question , give a reintroduction of all hypothesis , notations ,different variables in one word all it's objects of the introduction

#

third write what you will use like theorem of pythagoras ,criteria of riemann .

#

fourth use it but do a complet proove with all steps

#

until you get the conclusion you wanted .

#

When we say with all steps I mean if there's a big step divide it into a lot of substeps and substeps into subsubsteps ..

#

the more you divide it into steps chances are not to loose poits even if dividing it

#

infinitely is impossible .

#

Because absolute rigour is not a possible end but if you did that as far as you can with the time of the exam

#

you get a complet mark but it's better to follow the structure of a tree

#

By giving for each step a title 1 and substep 2 a title..

#

@unkempt gorge

#

What you will say ?

storm jasper
#

Care to give context

lament heath
lost drum
#

did you study in US ?

lament heath
#

nope

lost drum
lament heath
lost drum
#

Ah

#

it's better .

#

đŸ„ł

#

I needed help :

#

Library of mathematics of this century is in exponentiation

#

What is the most important field and what are the most important books of mathematics ? and what is the most important goal ?

storm jasper
#

Your gpa absolute tanks, if your going into math or any stem field then you might be a bit cooked for getting accepted to good colleges

lament heath
#

who tf does this badly on calc while already in college???

#

im sorry for being stupid

storm jasper
storm jasper
lament heath
storm jasper
#

One b doesn’t define you

#

Of course it makes you feel like shit but

lament heath
#

i should feel like shit

storm jasper
#

Bro

lament heath
#

if i didnt feel like shit there would be a bigger problem

storm jasper
#

Well

#

Yeah

#

The act of not performing well makes you feel shitty

#

What did you do to get the b

#

Did you study

#

And how did you study

lament heath
#

no 😭

storm jasper
#

Well, I’m pretty sure that’s the reason

lament heath
#

i need to be punished

storm jasper
#

Is it cold outside

#

Rn

lament heath
#

unfortunately not

storm jasper
#

I was gonna suggest go outside wearing minimal clothing for 10 minutes and think about being homeless (toxic study motivation fr)

#

This is a joke though

lament heath
#

no thats a good idea

storm jasper
#

Honestly I think metacognition is improtant, and understanding that YOU NEED TO STUDY FOR THE STUFF YOU DID BAD

lament heath
#

ty

storm jasper
#

What

storm jasper
lament heath
#

i dont deserve to eat until i do something to fix this

#

tysm

storm jasper
#

Everyone deserves to eat bro

#

Getting a B does not constitute not eating


lament heath
#

i dont have the right to feel sad tbh, it's entirely my fault that this happened

storm jasper
#

You should understand your mistake first (why you made the mistake which is why you got a b) and then work towards fixing that goal, in this case it’s because a lack of preparation, so you just need to study and prepare and you’ll do well

storm jasper
lament heath
storm jasper
lost drum
lament heath
storm jasper
#

Get someone to motivate you to continue

storm jasper
#

Like there are so many discord servers

#

Join a study server

lament heath
#

had plenty of motivation last semester but it didnt seem to work

#

idk, ill brb

storm jasper
#

Did you use your motivation

lost drum
#

Then the result you will be overwhelmed with wanting

#

to try to do all the things then you overthink and you overplan

storm jasper
#

Up until a certain point

#

It’s all empirical from my perspective

lost drum
#

It's the danger then you will not work .

storm jasper
#

Count to 3, if you can think of a actual valid reason for not studying then don’t study

#

If you reach 3 then you must study

#

Or it’s like

#

You condition a certain state

#

Like when ur focused snap your finhers

#

Laterc when you want to study, snap your fingers and lock in

#

Honestly

#

I use a simple method also

lament heath
storm jasper
#

Uh

#

Okay

#

Are you free rn

lament heath
#

not rly but i will be soon

storm jasper
#

Just count to three

#

And go

#

Just don’t use your brain when you want to study and don’t try to contest it

lament heath
storm jasper
#

Ideally

lost drum
#

now ,do it now ,do it now ..

lament heath
#

sorry i don't understand what you're typing

storm jasper
#

Punishment but only up to the point of discomfort

#

Just like

#

Do pushups or something idk

lost drum
storm jasper
#

Honestly just use the pomodoro method

lament heath
#

if only i was consistently as productive as i was on my flight back...

storm jasper
#

Your to caught up in the past

#

Indeed lmao

#

Or buy them meals

#

Unless you do work

lost drum
#

And you need to beleive absolutely that the difference that makes all the difference

storm jasper
lost drum
#

Start by beleiving that

#

and never doubt about that .

#

Then in every situation take action immediately whatever is the situation .

lost drum
#

and if you wanted to procrastinate say in you're self do it now, do it now ..

#

and beleive absolutely without doubts that without taking the action nothing changes .

#

then if you want to apply you're knowledj

#

take only useful ideas thouse who call the specefic action in order to be done

#

and take just little useful bits of knowledj and dont remember the rest to pay all you're attention on

#

to apply them or you get confused with multitasks .

#

@storm jasper

#

What you will say ?

lost drum
#

as me I was a procrastinator my mom

#

helped me to go to an office of motocycles

#

I worked their with social pressure of bosses ..

#

for 3 months .

lament heath
#

wdym, i've also had work experience for a few months
what's this supposed to tell me

lost drum
#

for 5 days /week

lament heath
#

uh yeah

#

pretty sure that's how many full-time positions work

jade furnace
#

I've had executive dysfunction issues before.

What's helped me is setting deadlines for myself, doing things everyday at a certain time, and starting now instead of waiting.

Setting timers can also help as well.

lost drum
#

that without studying hard at university

#

I will risk to suffer all my life

lament heath
#

45h/week is very common with a degree too

lost drum
#

like thouse people .

lament heath
#

i don't know what your point is

lament heath
lament heath
#

thank you <3

jade furnace
#

You're welcome!

royal basin
royal basin
#

like did you see what you did wrong etc.

#

ohhh i see

lament heath
#

i didn't complete almost half the paper though

royal basin
#

why tho? was the exam long or were you nervous because of the pressure/time constraint?

lament heath
royal basin
#

I see. alright then try testing yourself at home by solving previous exams (like from previous years for example) but with the time constraint

#

if you do a bunch of exams in this way at home you will probably become faster in the exam

#

because you will have adapted to working under time pressure

#

it will probably still be more comfortable than the actual exam since you know that failing this practice test wont have consequences but still i think it will probably help

#

other than that i would say try your best to not care in the exam

#

by that i mean dont think about "what if this goes wrong" or things like that. well its hard and sounds idealistic lol

#

but if you try i think you might be able to reduce your nervousness in the exam even if slightly

#

just have confidence in your abilities and in the time you spent practicing/preparing at home

lament heath