study-discussion

[lost drum]

we did'nt give truth values and false values to propositions but in conditional I dont know what supposing means ?is it not supposing only stating propositions ?

Even if implication has no relation with conditionality .

I mean P implie Q is truth , is'nt nesseceraly that P has any relation with Q in meaning or a conditional relationship .

an exemple :"the ww 2 ends in 1945" implie " f:R to R x to e^x has integral"

"1+1=5" implie "7+7=14" are truth implications .

so how to move from implication to conditional and from conditional to implication ?and why it's logicaly valid to do so ?

if then is diffrent from implie .

[snow raven]

I am not sure what u are exacly asking,
I think what you are trying to ask is how can converse be false
So for example - every function which is differentiable is also continuous (P to Q), but every continuous functoin is not always differentiable ( example modx)

[viral osprey]

It depends on what definitions we're dealing with for words like "conditional" and "implication". People have studied conditionals within logic for as long as folks have been doing logic at all.

Math uses first order logic (roughly) to do set theory in. First order logic uses a specific kind of conditional called the material conditional. The material conditional is roughly what you expect it to be, it's defined in terms of its truth table.

A classic problem of the material conditional is that it doesn't really establish a connection between the antecedent and the consequent. But sometimes in natural language when we speak conditionally we intend to point out a connection between antecedent/consequent. Another issue with the material is to do with vacuity. Expressions like "if pigs can fly I'll give you $100", are cheekily using this property to say something true, but possibly these kinds of vacuous statements being true are not what we want a conditional to do? There are probably other issues you can find if you google "material conditional", but I haven't thought about this in a bit so I probably shouldn't guess.

Afaik most variations on the conditional come from non-classical logics. So an early example would be modal conditionals where you fix a modal logic and wrap the usual material conditional in the necessity operator. There are also "relevance" logics which attempt to deal with some of these issues and possibly more.

But for the purposes of doing math, those logics aren't really used except maybe by a handful of fringe logicians that sit somewhere in the cs/philosophy/math intersection.

In general I tend to take the material conditional as having the minimum amount of properties we want in a conditional operator.

So, it's approximately correct in the sense that it's intuitive and tends to work well in a lot of cases. But it's clearly not what people mean in all cases in plain language given the issues above (and possibly more).

[rain patio]

I think your overcomplicating this

I think by conditional, timo means A->B and by implication A ㅏ B

or the otherway around idk

[viral osprey]

I don't think this is overcomplicated

[rain patio]

Well given that our texts even get read lol

[viral osprey]

I think you're kind of arguing my point when you introduce semantic/syntactic entailment as those are yet another form of conditional in some sense

Point being conditionals are harder than they look lmao

[viral osprey]

True lmao

[rain patio]

Just out of interest, are you trying to talk about meta logic by any chance? Because Im kinda confused. Tho, this question can be ignored if you are busy

[lost drum]

So as a summary :

Material implication is very diverse

That we can use it for conditional .

[lost drum]

I didn't know |-

But implication yes :a --> b

for deduction theorem

As me I didn't read books of logics

[viral osprey]

I'm a little busy yeah, but my point about syntactic/semantic entailment is that those are a form of conditional.

In this case they sit in some metalogic

So you're not wrong about that

But they do work in a way that is pretty comparable to what you expect an informal conditional to do in the contexts that you use them in.

[viral osprey]

Yeah I'd say that's a reasonable way to look at it. Conditionals can get complicated but in most math we use a convenient/nice one.

[lost drum]

But is there a way to formalise it ?

To formalise conditionals or we take them just as an implication ?

And if we do so is there a proof

That it's a subcase of implication ?

[viral osprey]

Well part of my point is that there are many DIFFERENT ways to formalize notions of conditionals/implication lol

[lost drum]

Implication is easy

No P or Q.

And( P is truth )is equivalent with P .

But conditional ?

Just me who didn't read anything about

Logics except the course of 1 st year university .

@viral osprey can you formalise it for me please ?

By conditional I mean only

The operator if then

[viral osprey]

Point being there are many ways to do it.

The modal example is a simple one. In traditional propositional logic for a single proposition P you define a valuation v so that v(P)=T or v(P)=F. For many propositions the idea is the same. Implicitly v corresponds to a row in a truth table.

But you don't have to map into the set {T,F} this way. You can define valuations so that they also take an index from some set. So in this sort of case v(P,1)=T may correspond to saying P is true at index 1 (or at "world" 1).

You can define new operators in this context such as "Box" where you say v(Box P, n) is true if for any index m, v(P,m) is true. In this context you may also want to impose rules to do with how truth at one index affects truth at another index, but for now that's kind of irrelevant.

From here you can define all the regular propositional logic connectives as you expect, but at a particular index.

But now you can also use the Box operator to describe new things.

Intuitively Box P means something like "P is true in every world". And something like Box (P -> Q) means something like "in every world, P implies Q".

This is a sloppy explanation of "strict conditionals"

From modal logic

These are very old so I'm sure people have reasons to complain about them too.

[lost drum]

But

The index witch is the World

Or the context where propositions are truth or false

what it means that it's truth in all index ?

[viral osprey]

You usually fix some set of indices

We say things like "world" but really that's a little too flowery. If you want to be formal you would just fix a set for your indices.

Maybe it's finite, infinite, or some other thing it doesn't really matter.

It depends on what you want to do.

[tidal rose]

Well well well

[viral osprey]

When we say "world" in modal logic, there are a lot of different things we can mean.

[tidal rose]

Did anyone call me?

[viral osprey]

There are many different flavors of modal logic within philosophy depending typically on how people want to apply the idea of having truth be dependent on some form of index.

So, for example there are deontic, epistemic and temporal flavors of modal logics.

[lost drum]

Yes .

[thorny raptor]

hi, sorry for the ping, but may I know what resources would go into these topics?
would it be philosophical logic?
(sorry if you do not wish to be pinged, please let me know if so.)

[viral osprey]

No worries

John Nolt has a book called "Logics" which has some gentle intro content on nonclassical logic.

Graham priest has a pretty big book on non-classical logics as well but I think it sort of assumes more background.

I'd call this type of stuff things you might see in a second logic course for philosophy students.

[thorny raptor]

I see. thank you for the recommendations!

[viral osprey]

For general logic the teach yourself logic guide by peter smith has a lot of good recs too.

Google that and you'll find it.

[tidal rose]

George Tourlakis's book called mathematical logic is good imo

[thorny raptor]

I know what to look for for general logic, but I am rather interested in modal logic as mentioned by Doot.

[tidal rose]

Ah for modal logic

[lost drum]

So

If it's so if there is no confidence

About material conditional

Then maybe mathematics entirely witch uses it

There's no confidence about how math is applied to physics .

Because a logics admits explosion principle

From any so called false proposition we can derive everything

And truth is implied by everything .

But after how the validity of mathematics match with the physical World validity

Is there a rigourous study ? @viral osprey

I asked a teacher of my department he told me no one will know why .

[viral osprey]

Idk what you're asking

People can and do study logic all throughout math, cs and philosophy.

Typically logic people are doing this sort of thing "rigorously" in some sense.

But "rigor" is kind of a loaded word.

You usually measure "rigor" relative to some base logical setup

[lost drum]

Rigor

Is how much we return from axioms .

It's a logical validity

Exemple limits and df,dx were non formal

They were not based axiomaticly

But then weirsstrass comed with his formalisation and diff geometry ..defined well ..

[viral osprey]

You're assuming a bunch of logical shit when you say this

But if we're already in a position where we are questioning what is/isn't right about logic, then you are just begging the question.

[lost drum]

Source :

Jean Dieudonné , pour l'honneur de l'esprit humain .

[viral osprey]

There you go with the appeals to authority again.

[lost drum]

No , but it's not me

What did me I created as new

In mathematics ?

Everything I learned it .

So if they teach wrong it's not my fault .

[viral osprey]

You haven't learned much if you can't tell what an appeal to authority is or when you are begging the question.

[lost drum]

I read only 3 books of rhetorics and dialectics

Schopenhauer, victor ferry, clément victorovitch

So the appeal to autority isnt an argument of validity

But names of rigour has maybe

A convention among mathematicians

Witch is not like the linguistique définition of rigor .

@viral osprey

[viral osprey]

Well if you want to be rigorous/logical you probably should realize "Dieudonne said ..." isn't very convincing.

[lost drum]

So what can we do ?

Isnt to be rigourous only

Prooving things with an indisputable argumentation ?

[empty breach]

Hey guys

[viral osprey]

I mean, the obvious answer is to just realize when you say "X is rigorous" you're making a RELATIVE statement.

[empty breach]

did anyone here pick maths A aka math edexcel igcse 4MA1 when he/she was in school and if so pls dm me

[viral osprey]

I.e., relative to some fixed logical system

[lost drum]

It's official

It's what Dieudonné says .

When we take axioms

[viral osprey]

If dieudonne told you to jump off a bridge would you do it?

[lost drum]

Hh, he is a good mentor to follow

[viral osprey]

Did he even do logic?

Seems like he did other things.

Would you trust a famous history professor to have deep insights about biology also?

I'm not saying he's not a good mentor in some senses.

I'm saying you don't need to defer to an authority in situations where it's stupid to do so.

[lost drum]

Jean Dieudonné , is a foundator

Of Bourbaki group

[viral osprey]

There were a lot of people who were involved in bourbaki

That doesn't imply each and every one of them were experts in all things.

[swift hawk]

just because he has "dieu" in his name does not make him God

[viral osprey]

I would probably not ask bourbaki members for medical advice lmao

[civic mural]

mon dieu, blasphemy /s

[lost drum]

I found he pretend that he read

Principia mathematica, quine ..

[viral osprey]

Idk whether he did or didn't

You could also be misrepresenting things he said in contexts where they don't apply.

[civic mural]

Jean Alexandre Eugène Dieudonné (1 July 1906 – 29 November 1992) was a French mathematician, notable for research in abstract algebra, algebraic geometry, and functional analysis...
notably logic and/or philosophy does not seem to be the topic of research for this particular mathematician

[viral osprey]

Idk, he could have done something along those lines.

It's sort of irrelevant whether he did or didn't. It doesn't change much about the actual discussion.

[civic mural]

fair.

[lost drum]

Idk,source normal sub, summary of Dieudonné def of rigor in mathematics Dans les cas précédents [I) « faute de calcul » banale ou II) négligence de vérifier toutes les inférences], il est assez rare qu’il faille attendre longtemps pour que la démonstration soit rectifiée. La situation est toute différente lorsqu’il s’agit de prétendues démonstrations, viciées dès le début parce qu’elles sont relatives à des objets non définis de façon précise. C’est ce qui s’est passé en analyse aux XVIIe et XVIIIe siècles, puisqu’on raisonnait sur des « infiniment petits » ou sur la « somme » d’une série, sans jamais être en état de dire ce que cela signifiait. Bien entendu, dans la plupart des cas, les meilleurs mathématiciens de l’époque avaient une idée juste de ce qu’ils pouvaient faire avec ces notions vagues, et leurs remarquables découvertes les encourageaient à aller de l’avant ; mais ils ne pouvaient exprimer leurs preuves dans un langage proprement mathématique ; et s’il n’a pas été difficile, au XIXe siècle, de donner des démonstrations entièrement correctes de leurs résultats, cela n’est devenu possible qu’après avoir clairement dégagé la notion de limite comme concept de base, et en avoir entièrement codifié les propriétés […] Il est facile de conclure. Il ne peut y avoir de démonstration « rigoureuse » qu’au sein d’une théorie axiomatique, où objets et relations « primitives » ont été spécifiés, et les axiomes qui les relient énumérés de façon exhaustive ; et si on ne tient pas compte des inadvertances ou négligences mentionnés en I) et II),

cette condition nécessaire est aussi suffisante ; « manque de rigueur » signifie exactement « manque de précision ».
L’histoire corrobore cette affirmation dans tous les cas. Il n’y a jamais eu de controverse sur ce qu’est une démonstration « rigoureuse » en arithmétique ; pas davantage en analyse après Weierstrass ; pas davantage en topologie algébrique depuis 1930, ni en géométrie algébrique depuis 1950. Bien entendu, il n’est pas exclu que dans l’avenir, des mathématiciens veulent développer une théorie sans la mettre sous forme axiomatique ;
jusqu’à ce qu’eux-mêmes ou d’autres arrivent à le faire, la théorie risquera d’être considérée comme « non rigoureuse » par la communauté mathématique.

[viral osprey]

I don't speak french

But since your point here is kinda stupid I don't think I really want a translation either.

[civic mural]

think the main idea of the whole passage is that rigor is not possible without the backing of an axiomatic framework and that lack of rigor really means lack of precision in defining stuff

[lost drum]

So as you stated

They were wrong in defining rigour backed to an axiomatic framework .

So how to bé rigourous ?

[viral osprey]

I'm not saying they are wrong and the paraphrase y'all just gave me does not contradict anything I said.

Munchausen trilemma is relevant:

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

[lost drum]

.

[viral osprey]

Point being you can't be rigorous in general.

You're forced into only being able to be rigorous in a more "relative to my axioms and logic..." sorta sense.

[lost drum]

This

Is very excellent .

But the idea

To beat this scepticisme of logical validity is to take formal position

It means if you ask me why axioms are truth

, i will say they are meaningless and truth is deflactionnist

It's a concrete proposition in paper without anything else .

P is truth it's P

So there will not be an infinit regression

Or we will make an infinity of axiomatical systems each one depends on other

[viral osprey]

Again, this is begging the question.

If we are questioning how broadly we can apply logical principles in the first place, it IS begging the question to say "well I just have to assume xyz formal system (i.e., A LOGIC)".

If you were modeling some kind of physical situation with lines and somebody was questioning whether the thing you were modeling was linear at all

It would not be sufficient to be like "No! Don't you understand!? We just have to keep picking better lines!"

Because the thing you are modeling could just not be linear.

[lost drum]

Yes , we will say that thouse logical principles are imaginary laws

[stone juniper]

linear data: "here's a linear fit"
sinusoidal data: "here's a linear fit"
quadratic data: "here's a linear fit"

[lost drum]

They are not real .so it's purely arbitrary .

[viral osprey]

But you wouldn't say that

And they are not arbitrary

In the linear model example

You would not just throw out linear models entirely

You would just treat them like what they are, approximations to a more complicated situation.

[lost drum]

@viral osprey

What will you say about me ?

[lost drum]

An exemple :

If someone tell you why is 1+1=2

We will say that 1 is a meaningless symbol and 2 also and that's a rule .

After there's no proof of it .

This will look like as stupid

But people who tell you it's a self évidence are partially wrong .

A counter exemple : in one iseland :

A volcano 🌋 makes a lot of fire

Then when it goes inside the oceant it remains 0 .

So 1 water+ 1 métal of lava=0

Not 2 .

[viral osprey]

This doesn't seem like it disagrees with what I said.

Not what I said

[lost drum]

Linear model

I didn't understood it.

[viral osprey]

Point being a logical system models how we expect whatever logic is to work.

Just like linear models are often useful to model other curves.

You don't identify linear models with other curves

It is equally dumb to assume one particular logic is some righteous globally true thing in a similar sense.

[balmy mulch]

Hello

[lost drum]

I have 1 q

What did you think about me ?

Timo .

[viral osprey]

You say a lot of things that I think you think sound good. But if you took more time to think about what you were saying you'd probably realize they are fairly silly and overly ideological.

[lost drum]

I ask

God

To make me know the truth

When they are different.

I'm a searcher of truth , it's my purpose

[viral osprey]

Comes across to me more like you want to say a lot of things you think sound good regardless of if they make sense or not.

[lost drum]

That's a problem of me,

I was not understood by a lot of people

, we have different brains .

[lost drum]

?

Like how

The big mathematics rationalisation

Of the physical truth's leads

To truth's

Even if in the essence of logics and material implications doesn't guarantee it

Lonely .

As eugene wigner suggest

Unreasonable effectiveness of mathematics.

@viral osprey

I didn't found a serious study of it .

[viral osprey]

Philosophy of science is a thing

[lost drum]

But is there a mathematics answer

In order to close the debate

By studying meaning relationships between

...

[viral osprey]

This would be relevant to philosophy of science. Math doesn't have to have anything to do with science.

Neither does art for that matter. But go figure when you try and paint pictures of the real world your art tends to look somewhat like the real world even if it doesn't have to in general.

This shouldn't be that surprising.

[lost drum]

But dirac equation

And mathematics to invent gaming computers

And PS5, and code gaming World of gta 6

By many mathematical configurations

By structuring sciences from quantum mecanics to

Macroscopique

[viral osprey]

Hmm all these things people invented for the sole purpose of solving xyz problem actually solves xyz problem

Almost like that was the whole point in people studying/coming up with those things at all?

Would you also surprised if you picked things based on how blue they looked that you'd end up with a collection of things that look sorta blue?

[lost drum]

It's very surprising and wonderful,

Nope of course

[viral osprey]

When you select things with a bias you end up with a biased selection of things.

Very surprising.

[lost drum]

I didn't understood

What means bias ?

[lost drum]

No

But when

We calculate with natural numbers

It's easy that it will bé self evidence .

[viral osprey]

So, if you pick mathematical ideas based on them modeling certain real world situations why are you surprised when you are left with a bunch of mathematical objects that model real world things?

[lost drum]

But how their mathematical objects

That models real world things .

Arent corrupted

[viral osprey]

Somebody thought a long time and thought "hey I think blah blah works like blah blah"

That's usually how that goes

Then somebody else came along and said "no that doesn't work because blah blah. It actually works like blah blah"

And so on for a very long time until the present day.

[lost drum]

When we throw them in the mathematical stomach

Because they can bé corrupted

And they can loose their connection with reality .

[jade furnace]

I want to bring up that several aspects of math started out as pure mathematics before becoming practical, such linear algebra going from pure math to something you need to know for several math and computer-related jobs.

[viral osprey]

It would be silly to assume we weren't cherry picking the math you are talking about because it models the real world

(To timo's point)

It would also be really silly to assume things like linear algebra and most other fields of pure math don't have many many ties in their development to practical real world things.

Part of why people have cared about linear algebra at all for as long as they have is that linear equations are mathematically simple ways to model real world things.

You wind up in a chicken vs egg situation when you try and claim most fields of math have inherently pure origins or vice versa I'd bet.

[lost drum]

Yes they have , but an analogy to understand us: Imagine you take a bottle of juice and make it with a bottle of coca cola the combinaison will bé other . Mathematics is a combinaison

Of what is from the World of senses and what is purely intellectual ...

So to throw a physical model simplification inside

You havent a guarantee that things will be corrupted and the reasonable link will loose .

[viral osprey]

Okay

That doesn't really change what I said.

[lost drum]

Yes, it's historicaly from humans primitive needs

But geo non eucledean and many

Starts with pure logics .so

To guarantee the correct contact

With reality is not for very doubted.

When 1+2+3.. becomes -1/12

So inside a math stomatch

It's a really extremely complex world with multiple languages and reformulations ..

and there's not a guarantee that it will not corrupt physical or any models

To give very weird objects

When reinterpreted by a physical interprétation or the interprétation system

You will have false results but mathematicaly valid .

Does that not happened one time in history of science ?

I have never heard.

@viral osprey

So isnt it surprising

How dirac discovered quarks

And Einstein in his home

By pure mathematics working in the astronomical scale .

[lost drum]

Yes of course

Truth remains eternaly ,

And me I didn't know ,

For certain physical things it's for me self evident

Like calculation by natural numbers

Or Kepler theory ...

But about applying very advanced mathematics to very complex phenomenas like water bombs or biological .

Here it's a blind activity for me .

[viral osprey]

This is a waste of time. I'm not going to read all that.

[empty glade]

**(History, skippable) ** Hello, my name is Alex. I'm currently an Industrial Engineer (not that I'm going to switch or anything... jajaja) through the first year. The previous semmester I was quite lazy and spent around 2/3 gaming and the rest studying. That was the case, until I was on the verge of failing 2 courses and boosted my study time. At the end I aproved all my courses, but I got a 13.5/20 overall score. **(Situation)**This summer I decided to enroll in two heavy duty math courses, Calculus and Linear Algebra. Even though I've been aiming at the white board most of my time and dedicating at least 3 hours of study daily, I think I've been straying away from my goal despite the effort and 1-80. Yes, I've slipped to gaming some days, but overall I've been dedicated. At first I struggled a lot due to some communication issues and the speed of the professors in class. However, I discovered Khan Academy and lifted me in Calculus from a 7 to 14, could 18, but I slipped at Linear algebra from a 12 to 9. I feel like, despite doing my best I'm struggling harder than before. (Question) Is there anything I might be able to modify or add to improve?

[lofty hatch]

Divide and conquer

[empty glade]

Side subject, if anyone is interested in studying Calculus at Derivatives, Critical Points and Concavity or Linear Algebra at *Vector Products, Plane, Line and Matrices *I'm available.

[lost drum]

I have 1Q: among you're

mathematical perssonal history ,

The history of all what you did in mathematics since you was starting learning mathematics to this day , what's the lessons

you learned from it like for math efficiency?

in my perssonal experience It was planing :courses and exercices and having a visual support and writing less but answering a lot of questions in order speed and re-doing exercices that seems important to re-do and then going in a free practice in paper were I created very complexe things and I play with things in paper just for fun by deleting conventions and doing all what I want for pleasure by going to do anything in a crazy way and for fun .

and you ?

We were talking about relation beetween math and universe ,

meaning of math implication ,and perssonal experience for math grouth .

@unkempt gorge

I give an exercise : write all you're mathematics history you're own history , all what you did .

and think about it then sum all the lessons you learned from it then tell us please ?

[empty glade]

https://tenor.com/view/talkin-to-me-you-talkin-to-me-me-point-gif-17676268

[green terrace]

<@&268886789983436800> timo is back to rambling whatever he rambles (even after the stop orders given by mods in previous weeks for him to stop)

[twilit mason]

you have been told to stop in the past. this is especially not the right channel for this

[jade furnace]

I feel like lately, I've been struggling on trigonometric word problems. I've overcome the first hurdle with graphing them and solving the first set of word problems, but now I'm onto ones that have to do with the unit circle and trigonometric identities (like the 2pi + theta ones). I've made some breakthroughs in understanding, but I sometimes feel guilty for still struggling on some of them.

Is there a good study resource for problems like that?

[heavy rock]

This online book has good problems.
https://yoshiwarabooks.org/trig/Periodic-Functions.html

[jade furnace]

Thank you so much! This goes super in-depth!

[empty glade]

I'll share you a video soon

https://youtu.be/dUkCgTOOpQ0?si=LtuNAqvwNlHwj2Wt

https://youtu.be/Dsf6ADwJ66E?si=5qvexNUzje2k-BwL

https://www.youtube.com/live/yBw67Fb31Cs?si=WnTq8a3Q71UDiKj8

https://youtu.be/v4eUxyMip0c?si=uxu2WBbkD584MF18

[tidal rose]

@viral osprey @lost drum i must thank yall. I'm bored, eating chips, and reading this conversation is like watching Netflix

[viral osprey]

Imagine giving people condescending exercises between walls of pseudo-philosophy slop.

[jade furnace]

Also, thank you for these videos! The second one is especially cool.

I never knew why sin^2(x) + cos^2(x) = 1 worked until today.

It's all the Pythagoreon Theorem.

[rain patio]

Your resolve reminds me of my former student...

[viral osprey]

How about you resolve yourself a job

Brokeass mf

(Jk)

[civic wasp]

Hello studying nerds

[edgy sierra]

hello nerds

[craggy finch]

hello

[lofty hatch]

Friends.
On a computer science course, is it ever late to learn discrete math? (I doubt it would be ever late to learn actually...)

[brazen mist]

better late than never

[glacial raven]

Man how the fuck yall get the motivation to study

[rocky terrace]

I don't

I just study

[jade furnace]

I do it everyday and make it a routine.

[lofty hatch]

I want it so much, but I have burnout issues

[jade furnace]

I can relate. I've burnt myself out before and it's really not fun.

That's why you take care of yourself and ask for help when you need it.

Because at the end of the day, your professors and everyone here wants to help you learn math, and learning math can be a struggle, especially when you're already stressing out and not taking care of yourself.

[polar mist]

u can also consider the fact that all u need to do is do a single exercise or read a single passage and ull already have fulfilled the days work in one sense, and if you can just do the one exercise its pretty easy to convince urself u can do another

or u can just leave it at that knowing u did at least smth

but i feel like doing that probably adds up

[lofty hatch]

College stress unfortunately has taken me to the point that resting makes me feel lazy...

[jade furnace]

Do you have a to-do list?

[lofty hatch]

Yeah

[jade furnace]

So what I sometimes do is add "Play a game" to my to-do list so that the break seems like a task in my brain.

So I trick myself into having a break.

[lofty hatch]

Lol

Amazing

I think I'll learn cooking to cope with burnout

[jade furnace]

That's a great idea! And you'll have some tasty food to eat afterwards.

[ember matrix]

when you get stuck on a problem what do you do? i feel like if i just look at the solutions im not really learning. im just memorizing how to do similar problems

[empty glade]

Would you like to talk about it? I've personally gone through chronic stress (still am), and have developed a couple of strategies that could help to specific situations. If you would like, we could talk in private or you may share your experience in detail here.

[ember matrix]

i meant like problem solving & studying strategies🙏 i dont really have chronic stress issues

oh wait mb bro were you replying to the previous message about burnout? 😅

[empty glade]

Yes

What I usually do is, I study for 50 minutes with a timer and then I dedicate 20 minutes to do something to rest like watch videos or laying in bed. It helps to keep the pace while studying.

Khan Academy is a great resource, it has dedicated videos to each aspect of a subject and then you may practice them and if you get wrong you might be able to visualize the correct answer step by step with their respective explanations.

I also try to change my caligraphy on purpose while solving excersices. I realized that most of my mistakes are due to super small distractions or going too fast. It helps me give me more time to process my procedure to ensure it's correct and be more contious of those distractions.

Also, do something that you really enjoy in your breaks. It will help you recover and get in a better mood to study for longer.

A great advice from a 7th grade teacher, was don't study only the things you like. Get yourself to like everything you are studying.

This might be redundant, but if you don't need to do them, skip steps that you have fully mastered, it will take time away for other stuff.

Labeling each section of excercises to recover them later, and spacing different kinds of steps in the solution will reduce mistakes and improve concentration.

There might be more, but I don't remmeber at the moment...

AHH, before you solve an excercise, try to deeply understand what are you accomplishing with the theory you are applying and why it works. It helps to consolidate the theory behind it and makes it more memorable. For that, there are resources online, peers, tutors, or discord...

[glass mason]

need to get better at math as i wanna do engineering i did it for work experience and i love it but i suck at math im currently in year 11 doing specialist maths and methods and physics and chemistry in my first semester in mount gambier can someone help me how to study and actually understand math ?

cad?

ok i dont even know those words

😭

how should i be studying tho >

do you study

do you study hard math ?

are you older than highschool?

ahhh

any tip for year 11

studyinh

math

what if i dont know what to study

on math

like im confused

my english is shabby

sorry

swimming competitively

ok i do but how do i study in year 11 without fun

like a maybe a academic way

you have been past it so maybe you know ?

[lament heath]

why do you want to avoid having fun

[glass mason]

because the second i dont feel like im having fun or im having fun from something else im not gonna wanna studt

[unborn mantle]

Anyone know how to do independent study well

[tidal rose]

Try copy pasta other paper

At least the core idea

[night spire]

This chud ass jee exam is eating my brain

[pearl turret]

read the concept, explain to yourself until it is evident and if possible explain to others. Look at examples of solved problems and solve problems :)

if you can't solve a problem you can use ai or ask here to get help. Then see what you were doing wrong and correct your reasoning

[jade furnace]

This is the last part of trigonometry I have to do.

Does Calculus also have trigonometry problems like this?

[edgy sierra]

calculus has more general problems

instead of dealing with say a fixed rate

you deal with the derivative

the problems where this is applied is called "related rates"

they're actually pretty awesome

and not that hard to learn given you learn the many applications of calculus

[glacial raven]

for anyone who can advise, I've always found maths interesting but newer excelled in it. Im currently out of school for the next 8 months for reasons i wont mention. I got a grade 5 at GCSE maths higher and recently developed a love for maths. I want to study to get up to a good understanding to take maths and further maths A level. Any tips from anyone on how to approach this mountain of a task? - Btw i take philosophy too so it would help to say im familliar with analytic logic and probability

[empty glade]

Try to find comprehensive materials with depth explanations of concepts, diverse set of excercises and corrections/explanations. Such as youtube educational channels, books or websites like Khan Academy.

[empty glade]

Yes, you will derive thos functions and try to graph them or find the variable value. Although it depends on you academic institution emphasis.

[jade furnace]

Well... I should probably prepare for that.

[empty glade]

Khan Academy course if very comprensive

Esentially, when you derive you find the slope that is perpendicular to a point in a function. That slope is called the tangent and is the representation of how much will the function change if you make minute tweaks, like +/- 0,00000001. It gives you a general idea of how much the function is changing at every point. Deriving is the act of reducing the function and each method depends on what kind of function equation you have, requieres practice.

For each coordinate of the function, it has a respective function

Flat or vertical functions technically dont have a slope, but if they did it would be exactly the same throught

The black line is the tangent line of x=2

The red line is the "base slope" where the slope of each point comes out of

[glacial raven]

yo bro I ain't ever reading Robert Greene 💔💔🥀 biggest pseudo philosophy cornball lol

[civic wasp]

hello study nerds

[bright sierra]

Any advice on how to tackle 11 and 12th NCRT math

[grizzled bluff]

yo wats the name of the little lid that teaches math on yt

[jade furnace]

I finally did it!

Thanks to all of the people that have helped me. Even if it took a few days to be able to solve those last few problems, and I still make mistakes sometimes, I feel like I'm now one step closer to learning Calculus again.

Now it's onto Precalculus!

[empty glade]

Nice

Although it was all due to my efforts, you don’t have to praise me too much

😂

[glacial raven]

What's site is this? Looks useful

[jade furnace]

It's called Khan Academy.

It's primarily a math site, but it also teaches other subjects as well (most notably science).

The math goes up to Multivariable Calculus for exercises and Linear Algebra for videos.

[wraith bison]

i dont think it has sinusoidal graphing this specifically but please have your trig identities solid, theres a surprising amount in integration

[wraith bison]

pc = algebra 2 if it was taught right + trigonometry + a bit of vectors, matrices, complex numbers, parametric & polar eqs, complex numbers

[wraith bison]

khan academys insanely useful for any (grade) school level stuff

for collegiate (or comp math, my thing) its a bit unrigorous for practice

though iirc it has optional proof videos

[jade furnace]

It has you correct proofs in the Geometry section especially, but it doesn't have you write your own proofs.

Or, well, it does, but it's a dropdown menu.

[wraith bison]

no like collegiate level proofs

(oml im traumatized abt how stringent my 10th grade level math teacher was on geo proofs)

im at least 95% sure that collegiate proofs dont have you mark the reflexive property of equality or wtv to state that AB=BA, although my sample size is less than 30

[wraith bison]

js chug through it i guess
if you're not enjoying it or finding motivation in it you can just study to get a grade ig

[weak geyser]

highschool geo proofs are cancerous

stating the reflexive property of equality or corresponding parts of congruent triangles are congruent was so annoying

[quasi tangle]

hi guys , I aam facing a prbprblm where i tend to make silly mistakes iin maths calculation plplz provide some tips to avoid it 🥲🥲🙏

[broken stirrup]

Examples?

[obsidian wigeon]

<@&268886789983436800>

[civic wasp]

Also cool pfp

[eternal widget]

hi, what topic would complex numbers be under

[outer rapids]

what specifically about complex numbers

[eternal widget]

the basics

multiply divide, solve for z

[outer rapids]

you don't need power systems to work on complex numbers

they show up in every single EE discipline extensively

[quasi tangle]

multiplication,division error etc

[quasi tangle]

🤣🤣

[wraith bison]

having to go through all the ALGEBRA while citing every step INCLUDING AB=BA and AB + BC = AC was hell incarnate

[weak geyser]

like transitive property of equality? really?

i know it would be harder on teachers but having proof assignments be more of an explanation rather than regurgitating the properties of equality would be so much nicer

[jade furnace]

Thank you!

[jade furnace]

I would say that it starts in Algebra 2. For multiplying and dividing, I believe that’s also Precalculus.

[green terrace]

<@&268886789983436800> (again again) timo is back to just bloviating and taking up the channel

[ember pine]

As an aisde @lost drum we keep copies of all deleted messages

either way this soap boxing doesn't belong in here

kms

[green terrace]

,pure

[empty glade]

Go slower, be more contious of what you are writing, and have a consistency in writting. Slow down your desire/need to solve fast, that allows you to have a pause between each calculation and automacally correcting it. On that note, if you are solving at great speed it probably means your brain is too, so you might not fully see the problem and calculation correctly and therefore solve something else that you imagined, in other words, dont write while thinking, think then write. Also try to keep your notes in a consistent and very understable writting, clumped equations or steps, and warped numbers lead to more confusion and takes more time to solve. Also, keep a record every time you make a mistake. Keeping a record will tell you where to go slower and always verify. Practice until you get the process and result a few times in a row. Be mindful everyone commits mistakes and always reread and check if you have time.

[brave vine]

hello, i am new at this server, and wanted to know if you guys have any suggestion for me. I am at high school, i always loved math, but don't know how to make it like shine. I' m open for any suggestions, thanks to anyone who responds me!

[tranquil kestrel]

what are good study techniques

[small salmon]

We retain logs of edited and deleted messages for a short time for moderation purposes. They are automatically pruned after this window expires. We don't store (for instance) images or videos, only the links to them.

[swift tartan]

Could you elaborate what type of suggestion would you like? I assume its about studying but Id say the most general advise is to just practice a lot

If there is a specific area of help you need?

[swift tartan]

what are you working with rn?

[quasi tangle]

yeh now i will grind some maths

[lean egret]

Hello everyone I am procrastinating

[winged glacier]

Congratulations 🎉,
Btw may ik smth,
What is that website? I would also try using it :)

[winged glacier]

I have been doing that since the day I was born

[unkempt umbra]

I'm currently studying this [translation unavailable]

[lofty hatch]

Studying predicate calculus for now

[safe rain]

vector 3D?

[unkempt umbra]

Yes, with dot product in space

[safe rain]

ah then u mustve finished vector part of physics too?

[unkempt umbra]

I don't do physics

I choosed informatic instead of physics (and I regret it)

[safe rain]

idk much bout that...not good with stuff =//

[safe rain]

what other subjects do u have

[unkempt umbra]

Scientific Teaching (very low level) (2H per week)
Spanish (2H per week)
English (2H per week)
History-Geography (3H per week)
Expert Mathematics (3H per week)
Philosophy (4H per week)
PE (2H per week)
Informatic (6H per week)
Maths (6H per week)

[safe rain]

WOW

u study everything then

damn...arent u in uni??

cause history with maths is a weird combo

[unkempt umbra]

I'm in France

And history is mandatory for all student

[safe rain]

Is it compulsory to study history even in uni???

[safe rain]

Aaahh we only have it till year 10

[unkempt umbra]

I'm 17 year old, still mandatory for me. Idk if next year I will have it

[safe rain]

Wait ur in year 12 or year 1 in college??

[unkempt umbra]

School system isn't the same in France, so I guess for me it's year 12

[safe rain]

ah same same...i have physics, chem, physical activity trainer( useless bs) economics n maths ofc

[unkempt umbra]

I wanna go to engineering school, I hope they accept me

But this means that if I'm accepted, I must learn all of physic & chemistry that I haven't learn

[safe rain]

yeah its hell...i have finals next week n dunno wtf is a pn junction

[safe rain]

do u have any branch in mind?....i also wanna get into it but for me its 50 50

cause i have eco too so whatever i get

[unkempt umbra]

I have 15/20 in maths and informatics

[unkempt umbra]

wdym by branch

[safe rain]

thats good? i dunno whats good there...for us getting even 99.98 is bad

[safe rain]

like mechanical, CS, electrical, biotech etc etc

[unkempt umbra]

Uhh idk what I want exactly

[safe rain]

i want electrical or mechancal..... i find cs way too boring

[unkempt umbra]

But choose a job where AI cannot take it

[safe rain]

whats the selection system there? cause we get branches based on our marks...highest is for cs n then as it gets lower, so does the possibilty of the person getting employed in future lol

[unkempt umbra]

Uhh idk really know, since there're only cheaters in the other math class, then I just have to pray to get there

[safe rain]

then engineering i think is not the best option...tho mechanical n electrical still require physical stuff like working on machines n stuff so thats good..theres civil too but depends on the country

[unkempt umbra]

When you're 17 yo, you can go to any school you want via Parcoursup (you must have corresponding specialities)

Then they can accept or reject u based on their critters

[safe rain]

we have online mcq test n there r like 50 people watching u so u cant even try to stretch ur neck

[unkempt umbra]

Critters are different for each school

[safe rain]

ohhh...our collges just look at scores from national exams...so the more u ranerd, even in sport related things, the better chances r there of u getting selected

[unkempt umbra]

Oh ok

[safe rain]

do u have something else in mind?as a backup?

[unkempt umbra]

Not really

And also, I have to do a math & informatic test in order to enter the school

The questions need a lot of reflexion but it's easy if you have it

And also, calculator isn't allowed

[safe rain]

yeah.....do u have like levels in maths? cause this pre calc n pre algebra stuff is not common here...we have just hardest level of calc, take it or leave type situation

[unkempt umbra]

Let me find the test in question

[safe rain]

thank god...dunno y they give calculators for a freakin math exam...cause if u cant do basic shit like multiplication n stuff then ur cooked honestly

[safe rain]

ah ill also search somethin wait

[unkempt umbra]

(French)

Also, I wish that calculators were banned for the final exam at the end of the school year. But no they are allowed

[safe rain]

this is mid level ques...we had first exam last month n istg have of the ques didnt even make sense

[safe rain]

we dont have calculators at all...not even for homework n stuf

[unkempt umbra]

Oh and btw next year, calculator is forbidden

For me

[safe rain]

ah this is AP- GP? i like this topic...easy to understand

[safe rain]

till theres permutation n combination involved =//

[unkempt umbra]

The first one with the limits is kinda easy

[safe rain]

oh in college right?

[unkempt umbra]

Idk what's college refers to in French

I cannot tell sorry

[unkempt umbra]

Permutation and combinantion is easy but you need to be sure of yourself

[safe rain]

yeah....tho i still dont remember anything....i think our whole batch will easily bring down the yearly average this year, cause no one studying no idea y

[safe rain]

YEAH THAT hahaha....i like calculus more....it has reason its hard

[unkempt umbra]

Oh nvm it's not easy

[safe rain]

?limits?

[unkempt umbra]

No not limits but the question

[safe rain]

we have 3hrs to solve 75 ques, 25 each of physics chem n maths....n maths a lot of times is lengthy

[safe rain]

ahh...we r taught something else n we r given questions like these on our first try...way to encourage someone to go into engineering

[unkempt umbra]

Limits are easy to solve by factorizing, using the "comparative growth theorem", or using the "growth rate"

[unkempt umbra]

I probably doesn't study the same things as your

[safe rain]

dunno whats that...after 10th we just stop using theorum by names...its all bout questions questions n who does it first n fastest

fukd in my opinion

[unkempt umbra]

And also by "growth rate" I mean this thing :

[safe rain]

ohh LHS RHS thing

yeah we just say lhs tends to x positive n so on

also

[safe rain]

u have this in ur current year?

[unkempt umbra]

Yes

But could also be the previous year, i don't really remember

[safe rain]

ahh...what all topics did u have in 10th? cause we were tuaght AP in 10th...which is sad n shows how students dont have a life after 8th class

[unkempt umbra]

What I stutied this year :

• series
• continuity differentiability
• asymptotes
• exponential function
• neperian logarithm
• permutation and combinantion
• vector in space
• binomial law
• trigonometry (unit circle)

[jade furnace]

It’s called Khan Academy, and it’s free.

[safe rain]

we did relation functions, inverse trigo,matrices n determinants, continuity n differentiability, application of derivations, integrals, application of integrals, differential equations, vector algebra, 3D geo, linear programming and probability

[safe rain]

tho in college entrances we have some deleted portion and whole syllabus of grade 11 too

[winged glacier]

I see, thank you :)

[jade furnace]

You're welcome!

[winged glacier]

Btw what does pre calc even include??

Is it like all the basic stuff?

[jade furnace]

That's a great question.

[winged glacier]

Ikr it's pretty vast

[jade furnace]

At the very basic definition, it's all the stuff that prepares you for Precalculus. So like expanding on complex numbers, trigonometry, matrices, probability, conic sections, etc.

[winged glacier]

Damn so that much just to study the change of smth wrt smth 😭

[winged glacier]

How much have you completed in it , like in percentage?

[jade furnace]

49% (but there's some overlap with other subjects on there, such as trigonometry).

[winged glacier]

Oh, i have smth called boards coming and after that I will have 3 months to revise most of the topics of pre calc too 😭
Anyways wish you a good luck from my side 🍀 :)

[jade furnace]

Thank you!

Good luck to you, too!

[brave vine]

yes, i want to know where i can start in this server, like subjects i can learn, sorry for didn't saying exactly, this server is "exactly" literally. But anyways thanks

[swift tartan]

what math courses have you done so far?

[brave vine]

i am just at high school so pretty basic, but not bad, if that is what you questioned about

[empty glade]

I'm seeing something similar right now, woul you like to study together?

[empty glade]

Hello

[royal basin]

in that case it might be easier to know all the creative ideas and use them

[outer rapids]

Caught assuming law of excluded middle. Mods get this guy

[swift tartan]

I would say the next step would be calculus then

[unborn phoenix]

Books for maths from zero to hero?

[nocturne topaz]

I bought it but didn't read it – Basic Mathematics by Serge Lang. The author is reputable. It might do a good job of covering pre-university math.

[unborn phoenix]

Oh that's the one I am looking for. It is free online. And contains most of the lessons I am looking for. Thanks

[tropic void]

<@&268886789983436800> spam

[swift tartan]

bruh

[brave vine]

thank you!

[dusky ether]

what's the best way to follow complicated theorems like this

it's 10 pages of intertwined unnamed implications

i get easily lost in the numbers

[thin eagle]

prove it yourself twin

✌️

[swift tartan]

nws

[rotund zodiac]

i hate to say it, but rewrite it with statements of each theorem instead of numbers
fwiw, i think this style of writing proofs does not offer enough information to justify the claim, and is poor writing. but maybe gauss wrote this and then i'm the stupid one

and then if it still doesnt make sense, skim the proof of each theorem and see if you can glean some insight from the method

[fervent mortar]

Hey, I want to practice inverting matrices of around size 5x5 for my exam. Now, getting AI to generate them results in very ugly gaussian elimination factors, so could someone recommend a resource for practice problems? Typical matrices include these

[toxic lake]

I wanna learn about math without learning the fundamentals of grade 1-12 math

I mean I don't really prefer videos, but explained through physical means. That is simple to understand

But I like it

Like face to face

Is what I mean

I like when people explain to me like I'm a 2nd grader, rather then making it complex

Well, alright. But I lean more to physics, idk why I came to math server, but I'll look into this

Oke

Also, I had a theory. What if the more dimensions we have, the infinite they become? Imagine the 4th dimension is a tesseract? If we continue adding, 5, 6, 7th, they become larger and larger, it's length, width and size?

It's stupid I know

Well I'm just making questions and theories, but that's all. Thanks for the feedback. I'm not really that smart of a person..

[toxic lake]

Yeah, I just make theories through analogies and some tiktok or YouTube videos I listen to

But im glad to hear this

So you're saying, my theory has to be studied before confirmed? Is this correct?

[jade furnace]

Wait, what's a sphere in 4D? I know in the 2D version of the question, they're circles instead of spheres.

[brazen mist]

a glome

Maryna Viazovska

[jade furnace]

I'm still surprised that we've solved sphere packing in eight dimensions, but not four.

[jovial sparrow]

the strange world of modular forms

[jade furnace]

I feel like after I study all of the pre-university math and study some undergraduate math, I'll either focus on number theory, combinatorics, or topology.

It seems discrete math is all about the first two.

[toxic lake]

Is mine a bad conjecture?

I learn from YouTuber like kurzg

Idk his name

But it's this name

[outer rapids]

is that the rank conjecture video lol

alpeh 0 is a good channel that posts 1 video per year

[jade furnace]

At first, I was going to say, "Well, we can look at the unit circle at 90 degrees, since x = 0 and y = 1", but then he pointed to more points on the circle.

[toxic lake]

Can you explain my conjecture just to be sure?

I'm sorry for asking this

Well I'm currently in quartiles

So...

I don't understand.. but I want to know..

So be careful off what I think off what's bigger and what's not bigger (is what I'm trying to understand)

[jade furnace]

Is this related to some infinities being bigger than others and countable/uncountable infinities?

I learned about countable/uncountable infinities from this server and this video: https://www.youtube.com/watch?v=OxGsU8oIWjY

[toxic lake]

There's probably many things that can explain this without Frying my brain haha

You can probably explain it in a more simplistic manner, so I could understand?

Sorry if that may come off as rude

Alright. By the way, question. I can learn more things by the time I'm grade 11 yes?

I've got tons of potential based on my conjectures, I just don't know how to well let me use the word. Apply them to study?

Well I did want to become more open.. so being more open to conjectures would be nice

Mhm. We think -> fail or succeed -> repeat

I think possibly

[jade furnace]

I think this conversation further cemented that I'll go into discrete mathematics once I finish relearning math.

A lot of the stuff I'm interested in (outside of topology) is related to number theory, sphere packing, and Hilbert's infinite hotel rooms.

In that case, I'll probably do discrete mathematics + topology primarily, and then use the rest as tools if I need it.

Discrete mathematics seems pretty broad.

[steep grove]

What can you do with Discrete Mathematics after you graduate?

I'm asking because I want to know

[edgy sierra]

would suggest real analysis before topology

but neither are self-contained

you need a calculus background

abstract algebra might be good

[astral wedge]

A 4d sphere would be called a hypersphere or more specific, a glome. Just like circles and spheres, the glome would be defined as the set of points in 4d a fixed distance away from a point

and just like a sphere and circle it is the most symmytric shape in 4d. Also super rollable in any direction

[fleet chasm]

hi guys, im in methods foundation to anyone outside of tasmania but in australia it just units 1 & 2 of methods, and methods 4 in tasmania is 3 & 4 of methods, we still have spec maths, anyway to anyone outside of australia, its basically just a higher version of regular highschool mathematics and required for most engeneering pathways

ive been taking it for two weeks and everythings been going smoothly so far, i do all my homeowkr and everything, and i pay attention in class, but i have slowed down a bit on regular linear word problems and index law work a bit, i know thats my weak spots and i need to strengthen them, is there any effecnt way of doing this? should i take notes, get another note book and just do more (ive been going pretty hard on the homework already) i know maths takes effort and im fine with doing the assignned homework, but idk if i can do extra like 20 quetsions for each topic i find hard, maybe its not for me haha, no but im fine with homeowkr and maybe cuz its just the first 2 weeks but ive gotten basically no free time, anyway yeah rn its just linear word problems and indicie work, nothing actually too complicated, i just wanna know if theres anyone or anything out there that could help study more efficnetly and get better at stuff im not as good at

[hazy vigil]

Thats an interesting book title

[scenic shuttle]

<@&268886789983436800>

[toxic lake]

How do I learn more physics, through videos?

It seems like I'm limited to an unfair advantage. Due to my situation, unable to learn more, due to my school only having physics during senior high, and I couldn't focus on a lecture, on video or by face to face

Whos in here?

@glacial bluff

I did watch about infinity, how they start from two different points but arrive at a same point, but at a different pace.

I think

[eternal widget]

Thanks, what about for quadratics involving complex numbers.

[edgy sierra]

algebra 2

[compact fjord]

superhardalgebraproblems.com

best website which i use

[scenic shuttle]

I didn’t take any physics in high school either, and I still find a lot of the concepts challenging. what really helps is asking questions whenever something doesn’t make sense and taking it step by step or videos. you’ll be fine as long as you stay curious and keep engaging with it

[toxic lake]

Alright then, thank you for the kind words. It really inspires me, that many people. Are here to help with struggles in physics or mathematics

[toxic lake]

How does blackholes work?

[civic wasp]

@toxic lake
Welcome to Mathcord, new nerd

[green terrace]

https://discord.com/channels/268882317391429632/1384567191159967834 but also just use Google?

[thin siren]

hi, this may not necessarily be a math question. but i've been trying to use AI to study math concepts. our profs go on about the concepts in class but mostly talking about the how/what about the concept, i want to know more about the "why" things work the way they work. any recommendations on any particular LLM that works best for this?
(likely that they're all the same, just curious if any one stands out)

[rocky terrace]

Don't use LLMs to learn math

they're not designed for that

[fleet hill]

I think the help channels here are great for those sorts of questions

[torn olive]

the "why" things work is best done via exercises (especially ones which are to prove theorems / lemmas in the text)

[fresh dock]

you can use ai to guide you to potential resources but its not great as a teacher

its good at recognising types of problems and that sort, because its literally made for that

all you would really takeaway from an llm answer to a math problem are the buzzwords it uses as potential research queries

[green terrace]

None, don't use LLM's, you should sit down and do the exercises yourself

[glacial raven]

Do you think I can pull this off

Is it possible for a 12thie

[edgy sierra]

Yes

[forest prairie]

Hello

[forest prairie]

When a someone make a proof, what's the right way

To assimilate it ?

An exemple : you open the textbook of you're teacher , you find a theorem

And His proof

Then when you are Reading the proof it was hard to be convinced 100/100 because you read very very weird sentences and very weird pictures and connections are absurd and some things were not explicit in the proof and you're mind isnt organised linearly

So what is the right task to do in that case ?

[normal sleet]

The way I approach it is to read it a few times in a cursory fashion to get the main strategy of the proof

Like what the attack strategy is

If I have in mind what the difficulty of the problem is, I try to see what how the proof gets around the difficulty

Then once I have the main idea I start looking at it in detail to see how the steps are executed

Of course if the proof is short and routine there's not much to do

Another thing you can look out for is why the hypotheses are as they are
Sometimes you get hypotheses in the theorem that are plain weird
But the proof can't go through without them so you have to spend time trying to find where they are used

[upbeat gale]

yes its best to deconstruct the general outline of the proof if you are having trouble understanding it

then you can fill in the details

because proofs are typically written in a very matter of fact way, but really you are connecting various bits and pieces logically to achieve the desired conclusion

[forest prairie]

Yes

[forest prairie]

So it's

Like a strategic mindmap.

From the general strategy and big branch to more little branches of steps that divide the proof recursively to Baby steps .

And then to reproduce the proof from own it's to take note of the useful ideas and summary of the task list from witch it's mobilisation

Generate the the proof by executing the strategic mindmap .

If you did so you have the method of you're teacher in you're toolbox for an exam preparation.

[normal sleet]

basically yeah
though i was just giving a general approach

sometimes i dont like the way a proof is presented and i do something else to solve the problem too

[scenic shuttle]

you need to be comfortable with high school math to do well in university math. struggling with math doesn’t mean you’re stupid

it usually just means the basics weren’t solid, and that happens to a lot of people

[wind aurora]

Yep that's probably the problem , you got it right , they didn't teach us integrals or derivatives in high school so when i went to uni i couldn't understand them , BUT when i tried to learn them at home i still couldn't understand them well , like everything feels so hard , and in the lecture at uni when the doctor says an idea everyone understands it , i don't , then when i try to understand what he said he explain like 5 ideas , then i feel like it is impossible to keep it up with him.

even school math wasn't easy for me , i also took more time to understand ideas

and i didn't do well in exams

[scenic shuttle]

have you tried restarting or at least reviewing some basics before moving on to new material? that usually helps a lot, and with time, you really can do well 🙂

[forest prairie]

Hi

[wind aurora]

no , and i don't think it is about reviewing basics more than it is just that i am not a math person

maybe math isn't my thing

[wind aurora]

Hi

[forest prairie]

Where did you have difficulties ?

[wind aurora]

i have difficulties studying math

[forest prairie]

For exemple ?

[scenic shuttle]

i used to say the same thing and now look at me, im lowkey loving it

[wind aurora]

like when the course starts , things are easy , i understand them , when things starts getting harder i struggle

[scenic shuttle]

with this server it gets better trust me

[wind aurora]

even if i can study math , i don't love math haha

[forest prairie]

When did they get harder ?

Give me like a course of mathematics

[scenic shuttle]

[forest prairie]

That you dont understand

?

[scenic shuttle]

they mentioned it

derivatives and integration so calculus

[wind aurora]

like when concepts starts mixing (idk the right word to use)

[wind aurora]

even algebra 🙂

everything in math actually

[forest prairie]

Did you master well the mathematics of high school and middle school ?

[wind aurora]

not really

didn't master them

[scenic shuttle]

that is the problem

[wind aurora]

i was just studying to do the exams

[wind aurora]

yeah i'm probably switching majors , or uni

i can't with all the math , i just , i can't

[forest prairie]

So my freind

Did you have the will and determination

[wind aurora]

for what

[forest prairie]

To master mathematics and it will bé very easy for you ?

Start from the begining

Start from level 1 .

Do not do mathematics of high school or university

Or even middle school unless

You master well what's under .

And from level to level

[wind aurora]

not worth it , nah

[forest prairie]

Dont skip a level .

[forest prairie]

Why ? , because you beleive it takes a lot of time ?

Not really

The program for very young people is very small

And for you as an adult it will bé very easy

[wind aurora]

effort and time , and i don't really like it , and it is not so much needed in the fields i like

so yeah , not worth it

[forest prairie]

Because you are developped mentally and you can finish it

In a little time .

[wind aurora]

i don't think so

[forest prairie]

When you start with Counting like Counting money it will bé easy .

You count for 10 then hundreds then milles .. learning numbers

Is easy then

Addition to multiplication witch is based on it

Then division ..

Then the explanations for young children are very easy .

[wind aurora]

ok i know all these

i am not that new to math 🙂

yeah so i think i will give this semester a try , i will study as much as i can

if i failed ,fk it then i will do what i love even outside uni , even if the path is risky i'm taking it

[forest prairie]

Yes, but you will discover what you never excepected. Like if a car is dammaged it's better

To analyse each pieces to find where is the problem .

So restarting from begining is very securised

[wind aurora]

i am not starting from the beginning , i understand your point , but nah

[forest prairie]

So like in a derivative calculation .

f(x)=xlog (x)+x^2

You will use middle school

Rules in algebric calculation .

And the course of functions of high school

..

So like all mathematics that you learned in the past

Can bé used in anything .

And then you need the course of logics and set theory to really understand things .

Like the limits definitions or what's a correct and incorrect proof and techniques ..

[forest prairie]

But really know that in all fields of sciences

That you choose in university :

Medecine , ingeneering, computers , physics..

You need mathematics

Even if you hate it .

[wind aurora]

i don't need i need advanced math for programming and networking

[forest prairie]

In programming you need a lot of mathematics not just one of the advanced in the c language or MATLAB

Or python ..

Me too I found there the use of logics and calculations .

[wind aurora]

@scenic shuttle what 🙂

[forest prairie]

And in networking it's not my field .

Me I studied programming

In university .

[wind aurora]

then i will not study programming , easy 😎

[forest prairie]

where you will go ? ,If you follow such way

[scenic shuttle]

what are you studying in university?

[forest prairie]

You will bé out of any science field or being a partial but not complet scientist .

[wind aurora]

CS , used to love it , but i hate it now bcs of MATHHHHH

[wind aurora]

networking , probably

i already studied for the CCNA exam

it will be the start

[scenic shuttle]

cs is full of applied math consider switching to business if you dont like math

I switched from cs to bme

[wind aurora]

nah , business is not my thing

everything is so complicated omgg

idk what to do , my dad gave me time to choose what i want to do for my future , do i want to do uni or not , but now idk what to do , i am so lost

[forest prairie]

My freind, you will be lost except if you decide to read and to study

[scenic shuttle]

if you think university is WAY too complicated maybe you should have gone to community college

[forest prairie]

Then you will bé very guided .

[scenic shuttle]

you have to accept the fact that it’s gonna be like this

[wind aurora]

what's that , i don't think we have such thing in my country

[scenic shuttle]

it’s easier than university

[wind aurora]

i was planning to get certs and work in a specific field , but where i live it is nearly impossible to find a job without a degree

[scenic shuttle]

but you gotta do same thing anyway

[scenic shuttle]

cs job market is cooked rn

do you have any idea about this

[wind aurora]

man i don't have a problem to study , but math , i get stuck when it come to math

[forest prairie]

You will have 1 billions of purpose, and it's normal to bé lossed . But I promise you :The mathematics will be like the sun it gives the biggest light to all the fields of university and everything as fields will be unlocked

[wind aurora]

i don't have any idea about anything , i just want to listen to some music and try not to think about anything , i have a storm in my brain

[scenic shuttle]

you know what? i can’t talk about this anymore if you keep saying this

i wish you the best in future

[wind aurora]

thank you , and thanks for the help ❤️

[forest prairie]

But I told you the only possible way my freind .who is me to propose an new way ? But to learn mathematics follow the traditional order and program that professoonals of education of you're country choosed for you . And they are available online in an ordered way .

It start from primary school to middle to high to university .

Or try to search and pay a professor to learn you all mathematics

Or will give you the books and exercices to do .

Go to the school when you were young .

[wind aurora]

thanks for the help dude , but no , i am not learning math from the beginning , or paying for a private tutor

[thin siren]

i do sit down and do the exercises myself, currently in 4th year @ uni working on my dissertation. sometimes i miss classes because i do not have the time to attend them and end up doing self-study. my lecture slides are designed such that attendance is required to understand the concepts, i can usually sit down by myself, solving things and looking at answer sheets to understand but the professor's answer sheets also just skip steps on assumptions. wanted to know if there is any llm that is specifically helpful for this. been looking at thetawise.ai, unsure if it is that helpful.

sorry for the late reply, do not mean to revive a dead convo

[wind aurora]

but again i say thanks for the help , appreciate it

[forest prairie]

You're are welcome

Serge lang has a book on basic mathematics .

[civic wasp]

We don't do payments here

[misty mountain]

<@&268886789983436800> spam

[misty maple]

(my first actual ticket )

[civic wasp]

[civic wasp]

No.

[scenic shuttle]

engineers are relying on ai while mathematicians dont!

[jade furnace]

When should I switch my tag from Pre-University Math to Undergraduate Math? I'm currently on Precalculus, but I'm thinking of switching tags once I get to Statistics & Probability.

[torpid ice]

I'd do so on entering calculus or linear algebra

[jade furnace]

Okay, I'll switch once I enter College Calculus AB.

[fleet hill]

It's pretty arbitrary fwiw

The tags are just to get a vague vibe

[green terrace]

Switch the tag once you need something from the channels the tag unlocks, it's that simple

[raven kindle]

1 message hidden from likely spammer 💀

[civic wasp]

James

[jade furnace]

Huh, the Precalculus curriculum does cover probability and statistics...

I'll probably just switch over after High School Statistics (or maybe even during). I can still access the channels even without the role.

[storm jasper]

I did it when calc but honestly tou can do it whenever

[green terrace]

2 years

So feb 8 2028

[forest prairie]

There's a problem in some

It's taking subjects

As some as important

And other's not important.

Rather that's better to be interested about all the subjects of other people

And opening you're mind to read and to listen to all others .

And after we learn a theorem or an algorithm to solve a problem , it's better that we apply it

And after that you apply it you will learn more .

[rocky terrace]

it's my message

[thin siren]

got it thanks

[vernal forge]

how do i get better at solving math problems. I had a test today where i knew all the concepts and thought i would have an easy time, because most often I do. But after a while I just couldnt find a way to continue solving some of the problems. How can i get improve on this aspect?

[fresh dock]

You just spam math problems until it's second nature

I'm in a similar situation where I understand the concept/method but have trouble executing it

All you need to do is do a lot of problems and get it under your belt

[onyx trench]

Anyone know hiw to get the hang of physics? I can do the math but i struggle in making the equations or analysing the situation

[onyx trench]

For classical mechanics btw

[fresh dock]

have you learned calculus

[onyx trench]

yeah yeah, im in yr 12, where i live we are about dne with classical mechanics and now going into electricity and magnetism and stuff but i still havent gotten the hang of it

i struggle in questions where more than 2 things happen like a rotating body performing single harmonic motion simultaneuosly, i get confused

[smoky spear]

What do I do, I have an exam coming up on Friday and there’s so much material to cover, I was out of school for a month and my friends aren’t very helpful

I don’t have difficulty remembering or understanding concepts it’s moreso that I make stupid mistakes

[heavy rock]

do the same problems again and do them without making the mistakes

[smoky spear]

What’s the point of doing the same problems if I already know the answer

I’m just gonna beeline straight. To the answer since my working memory is usually good enough to remember really quickly what I did

[heavy rock]

because you don't get the answer without making mistakes

[smoky spear]

I haven’t practiced math, like ever if you can’t tell

I’m in 10th grade

Well 10th grade here

We’re at matrixes, systems and stuff

Linear algebra

But more advanced problems

As in our teacher teaches us the concept and nothing else he expects us to practice the living shit out of the content before we’re good at it

[heavy rock]

yea matrices involve a lot of simple arithmetic. all the more reason to practice more arithmetic so you don't make mistakes

[smoky spear]

Ima pull up on of my glorious fuckups

One I did today

On an exam

Simple problem, too

Oop accidentally attached a cat photo

[smoky spear]

I generally have this problem where I don’t have study systems and I experienced hell last semester since I had to study for the first time

First semester my grades fell below perfect

[smoky spear]

Do you have general advice on how to actually learn to study? Anything I look up online is just like.:.. too cumbersome to set up so I’d spend more time setting up than studying

[kind wadi]

try explaining each step out loud while you work, it helps catch the dumb mistakes

[smoky spear]

But that takes an unholy amount of time I work too fast

Is that like the best/only solution?

[kind wadi]

lol fair, maybe just do a quick sanity check after every row op

[kind wadi]

nah, try active recall. basically just test yourself instead of re-reading

[smoky spear]

Wait people just reread their notes?

Active recall was the first thing I taught myself when I was like 7-8

I never studied with anyone lol

I always passed with flying colors sitting 30mins studying the day before an exam

So my parents never paid attention to it

[kind wadi]

hmm yeah, it's a total trap because it just makes you feel like you're learning

[onyx trench]

i mean i only do it for formulas or revising like rlly old topics u haveent touched in a year

aprt from that theres no point

[heavy rock]

yea. don't be lazy and make up excuses

[smoky spear]

A bit of a curt answer but I get the idea

[kind wadi]

matrices are basically arithmetic traps, double checking signs after each row is a lifesaver

[smoky spear]

I moreso find myself trying to Yknow make the 1s diagonal and the zeros

Well the zeros are a bit annoying but doable but I always end up with the 1 diagonal somehow failing

Like either I sacrifice a zero or a one

[hallow abyss]

tomorrow i got an exam on the goniometric function what do u reccomend studying first

[tranquil dock]

what are the best study methods for mathematics?

[scenic shuttle]

practice

[tranquil dock]

so just spam practice questions?

[scenic shuttle]

yes and understand the topic as well

[tranquil dock]

i got a rational functions test tmrw and im studying rn what are some tips u have for the topic

[scenic shuttle]

1. factor if possible
2. domain
3. simplify / find holes
4. vert/horiz/slant asymptote
5. Intercepts
6. plot key points
7. sketch

[tranquil dock]

thank you

[frosty gate]

guys any tips on how to write and think of proofs in number theory??

[vernal forge]

Where can i find practice problems?

[scenic shuttle]

depends on what practice problems do you want

look up on google and search the topic you want to practice or use textbooks exercises

[rocky terrace]

I have my number theory exam in a few days

the answer is to just do a lot of number theory problems

which I don't have time to do right now, I should've started 2 months ago

[frosty gate]

i tbh feel sooo discouraged atp its sooo hard to persevre

[frosty gate]

dwwww , u can still do this, ull always wish for more time but this is the most time u will ever have

[rocky terrace]

You feel too discouraged to do number theory problems? Why?

[rocky terrace]

Of course I can still do this! I'll never give up 🗣️ 🔥 🔥 🔥

[frosty gate]

well maybe it is mostly because i felt like i wasnt going anywhere no matter how much number theory i did, but ig it was just that i was using an advanced book, today i just shifted to a much more beginner friendly material

[rocky terrace]

Yeah that can be a problem, what book were you using and what's your background?

[frosty gate]

im currently a hs student

the book i was using was an olympiad oriented book, with only 30-40 pages dedicated to number theory

now im using a more number theory oriented book

[rocky terrace]

Like Burton?

[frosty gate]

nope this one: https://math.univ-lyon1.fr/~ducatez/content/Modern_Olympiad_TN.pdf

anyways all the best for ur number theory exam! @rocky terrace

[rocky terrace]

interesting

[rocky terrace]

Thanks

[rocky terrace]

I aspire to be

Goated reference

[ancient burrow]

Hello, I want someone to tell me what it is in these subjects and what kind of mathematics should study the truth, I need to get pure 10 or 9 because I occupy a weighted 9.7 to be able to change my career that would be engineering in computer science.

[green terrace]

<@&268886789983436800> piracy

[wispy zephyr]

this appears to be a self published book which the author has made available free online

[green terrace]

I looked online and couldn't find the author's source and saw that the book was on someone else's webpage so I got confused, sorry

[wispy zephyr]

this appears to be the author's source https://artofproblemsolving.com/community/c6h2344755

[green terrace]

Oh very nice, thank you so much for digging this up, I appreciate it /g

[scenic shuttle]

engineering in computer science like you mean computer engineering?

[empty glade]

Unfortunately you’ll be more likely to get help if you translate then to their equivalent in english, i would like to help but know none of those

[warm spire]

Hey all

im trying to restart learning math from base because im strugling in class, any tips on where to start or something like that ?

[rocky terrace]

Khan academy

[warm spire]

Okay ill look thanks

[winged crow]

Hello. I was wondering about how you peeps manage your time so you can get everything done in your week (psets, reading, etc.). So far I've tried time blocking which kinda worked and to do lists which did not work at all. The main problem of time blocking was that I was either a) not putting in enough time or b) the problem was too hard to be solved in the time I had. (Pls ping)

[empty glade]

I can relate to your situation. I’ve been for a while, trying to study the maximum amount of time for a given day and I felt that couldn’t reach my objective of having a successful grade. so I started asking myself what things were the things that we’re holding me back in my case it was that the teachers did not make profound explanations on what the theory is. So whenever I encounter something new, it was like I needed to know where it came from so I can assimilate it into my system. If not, it’s going to be heavily difficult for me. So.., aside from classes I started watching YouTube videos starting researching online. I purposely avoided ChatGPT to allow myself to get trained on finding good sources. Then what has happened is that if there’s something about theory and I find the right page is going to go smoothly and the next time I know that this page has this kind of useful stuff so I can access it later. The other thing is try to find a website that give you exercises and give you immediate feedback and and explanations on what you’re doing because you might make an error, but you don’t know where it came from so you might spend way more time trying to find it to understand what went wrong doing all their exercises and so long So I think the idea is to identify what are you spending your time on? Why are you not meeting your objectives and how can you make it so that you can study smarter ? If you think about it, probably your classmates have the same amount of time, but they have to manage in some way, that they have certain study technique to do amount of time. How to make the most out of your time, if youd like i can describe other specific techniques. Also ask for advice from mates and teachers.

[lament matrix]

tldr?

[daring sage]

so i want to self study precalc over the summer, kinda speed running it to do ap calc bc next year. what books/resources do yall recommend?

[raven kindle]

i did pretty much this

i benefitted from khan academy

[daring sage]

expected... but true

[raven kindle]

yeah

there's so much stuff on precalc on the internet that theres no real reason to get a book

maybe there are some other more interesting resources than khan academy, but it works

[daring sage]

true

i just got calculus for the practical man