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/sci/ - Science & Math


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11443002 No.11443002 [Reply] [Original]

Hey /sci/, engineering major here with a minor in mathematics. I'm currently taking an abstract algebra course and it all seems so useless and silly. Can someone explain to me why it's actually useful as to give me some motivation?

>> No.11443200

>>11443002
>Engineer
>Asking for applications
It's all so tiresome...

>> No.11443229

>>11443002
it's useful for doing real math and not babby shit

>> No.11443248

>>11443002
Depends. What are you trying to engineer?

>> No.11443332

>>11443002
>utility

there is none. Everything past calc 3 is useless mental masturbation. Heck most of it is just made up bullshit some autist came up with

>> No.11443347

>>11443332
>useless
Nice bait retard

>> No.11443356

>>11443002
Scientifically speaking, what's the utility of your life? It all seems so useless and silly. Can someone explain to me why it's actually useful?

>> No.11443365

>>11443347
when have you had to know what a ring was to find out how much your groceries will cost? Do you think NASA has to find out whether x is an element of a group before they can build a rocket? no, they just build it.

>> No.11443369

>>11443365
>they just build it
how? elaborate.

>> No.11443384

>>11443369
they plug in the numbers into their rocket building software, then send the blueprints to the rocket factory, who prints the pieces in a giant 3D printer and bolts them together. Have you ever built a model rocket before? Like that, but much higher scale and with computers.

>> No.11443390
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11443390

>>11443002
>implying mathematics in general has any utility

>> No.11443415

>>11443390
Paragraph two abuses the semicolon: it should be "...harmless, but..."

>> No.11443454
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11443454

>>11443332
>>11443002

abstract algebra forms the foundation of public key cryptography which underpins secure internet communications

>> No.11443480

>>11443454
>secure internet communications
Anon, I...

>> No.11443484

>>11443332
>>11443002
>>11443365

>physics
>cryptography
>differential equations
>linear algebra
>chemistry
>starting to find uses in biology

You're probably faggot engineers.

>> No.11443489

>>11443484
also

>geometry
>topology
>CS

>> No.11443801
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11443801

>>11443484
>>11443489
Physics is based off calculus
Cryptography could be accomplished with other methods
Diiff eq. and linear algebra is just more useless autism
Chemistry doesn't rely on autism math at all
>t. chemistry PhD
Biology definitely doesn't use autism algebra
postclassical geometry and topology is more useless autism
CS doesn't use it; CS can just brute force compute lmao

>> No.11443805
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11443805

>>11443484
>just naming fields that have nothing to do with group theory, rings, Galois, and other autisms
Cope

>> No.11443815
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11443815

>>11443200
It must get pretty tiresome studying the mental masturbation fantasies of severely autistic virgins
Have sex incel
PS: Go to your local engineering school and get rich

>> No.11443838

>>11443815
You still haven't explained what you're trying to engineer. How can anyone decide if any field of abstract algebra might be useful or useless to your application without knowing what your application is?

>> No.11443864
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11443864

>>11443838
lol literally name ONE real application of Galois theory faggot
Cope

>> No.11443881

>>11443864
AES encryption
1/10 for reply

>> No.11443884

>>11443002
ok say you want to know how many guys a chick has screwed you can ask her but she will lie and thus you need to use a formula to calculate the number of dirty dicks that have been in her

so her age minus 12 then multiply the result by 3 . but lets say you had no real experience and were a kiss less virgin you need a imaginary formula. so the number of men she has had sex with is " i " and the number she tells you is " x " and the number you think she has slept with is " y ". you want to know what value " i " is. with no experience you might accept x plus y divided by 2 = i

>> No.11443885

>>11443881
>AES encryption
That's a literal "what?" mate
Not to mention it's a massive cope -- you don't need your gay shit for encryption LMAO
Go dilate

>> No.11443893

>>11443884
Abstract autism algebra not needed
Cope

>> No.11443901
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11443901

>>11443885
>>11443884
>>11443881
>>11443454

>> No.11443906

>>11443864
You're having a really hard time describing what you're trying to engineer. Maybe we need more language theory classes after all.

>> No.11443909

Who gives a shit about utility lmao. Better work hard to learn all of those utilitarian skills to be more useful to Mr. Shekelberg. Engineers are pathetic

>> No.11443910
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11443910

>>11443906
>Can't even name ONE application
I'm not even an engineer, I'm just a bitcoin billionaire
have sex

>> No.11443911
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11443911

>>11443909
No, it's about utility to the white race, retard

>> No.11443912
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11443912

>>11443815
imagine having as bad of a hairline as you do but having a much easier major. kill yourself you stupid faggot

>> No.11443919

hey faggot you arent an engineer until you graduate.

>> No.11443920
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11443920

>>11443912
lmao seethe more mathfag

>> No.11443932
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11443932

No advanced algebra is heavily used in cryptography but intro-grad-level algebra is used in things like the elliptic curve Diffie-Hellman, which is currently one of the most widely used public-key internet protocols. You can check this for yourself by monitoring your PC's traffic with Wireshark. Before some retard says that you don't need graduate-level algebra to understand basic elliptic curves, you definitely need it to formulate and understand attacks against the ECDH, which is a subject matter every cryptographer should be capable of handling.

More complex tools in algebraic geometry have started to appear in crypto literature invoking many pre-Gronthendieck tools, as a response to potential weaknesses in the discrete-log hardness assumption.

In physics, there's heavy use of multilinear algebra (frequently taught in general form in intro-grad-level abstract algebra courses) in physics in the form of exterior algebra. In quantum mechanics, which is predominantly functional analysis, algebra plays a secondary role in the sense that it forms the algebraic structure of actions on the vectors and covectors of study. Gauge theory and gauge invariances are also closely linked to algebraic topology concepts like homology and cohomology, which in theory could be learned without any algebra but you'd be better served learning it with.

Lie groups and Lie algebras heavily feature in robotics, control theory, and physics as well. This too can be "learned" without formally studying algebra past basic definitions of groups and rings, but it'd serve your understanding of the subject not to do this.

That's just off the top of my head, and I'm pretty far removed from algebra. There's likely quite a bit more.

>> No.11443933

>>11443932
>is used in things like the elliptic curve Diffie-Hellman, which is currently one of the most widely used public-key internet protocols
literally gay and not needed
>In physics, there's heavy use of multilinear algebra (frequently taught in general form in intro-grad-level abstract algebra courses) in physics in the form of exterior algebra. In quantum mechanics, which is predominantly functional analysis, algebra plays a secondary role in the sense that it forms the algebraic structure of actions on the vectors and covectors of study. Gauge theory and gauge invariances are also closely linked to algebraic topology concepts like homology and cohomology, which in theory could be learned without any algebra but you'd be better served learning it with.
Physics is just calculus niglet
>Lie groups and Lie algebras heavily feature in robotics, control theory, and physics as well. This too can be "learned" without formally studying algebra past basic definitions of groups and rings, but it'd serve your understanding of the subject not to do this.
Literally no. All programming is brute force comps. No rings and other autisms dumbass

>> No.11443935

No. You need to learn the terminology otherwise your math major is just going to unexplain things you already think you know.

>> No.11443937
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11443937

>>11443920
not seething at all. in fact I am quite content knowing that I will never be a stupid engineer. In my lower division classes I used to laugh my ass off at you retards pestering the teacher with your painfully obvious questions. I understand things you could never hope to.

>> No.11443941

>Physics is just calculus
lol stop replying to this troglodyte

>> No.11443943
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11443943

>>11443933
Don't you have a precalculus quiz to be studying for?

>> No.11443945

>>11443910
I'm married with kids. It's still fun but I don't seem to care about it so much now that it's a constant. If you want a real answer about the utility (or not) of abstract algebra, you need to explain what you're trying to do. If not, the question itself belies your own stupidity.

>> No.11443950

>>11443937
>I will never be a stupid engineer.
cope
> I understand things you could never hope to.
Like useless autistic phantasms?
C O P E
>he can't even optimize material

>> No.11443953
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11443953

>>11443945
Yikes it reproduced
>It still can't name ONE application
LMAO

>> No.11443965

>>11443932
How do you know all this anon?

>> No.11443970

>>11443965
He made it up.

>> No.11443971

>>11443002
abstract algebra is used a lot in computer science and software engineering to some degree. I use it on almost a daily basis.
It's not hard or anything, but it's stuff that's good to know and helps you communicate with your colleagues so you don't need to reinvent concepts all the time.
Category theory is of particular "use", although it has been almost wholly reinvented with new terminologies, which imo are considerably more important. It's useful to know the old terminology if you want to talk to haskellers (who are very self righteous and use that to gatekeep their garbage language)

>> No.11443973

>>11443971
Sounds like you don't use 99/100 of abstract algebra

>> No.11443978

>>11443970
Seems legit to me. Probably a math major or something. I wonder if anon is a grad student.

>> No.11443980

>>11443973
99/100 of abstract algebra isn't very useful in this day and age.

>> No.11443986

>>11443953
Application to what? You're asking people to describe the output of an imaginary function.

>> No.11443988

>>11443390
how exactly would a computer do a proof

>> No.11443989
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11443989

>>11443978
>>11443980
Math majors are literally the cringiest of the cringe
Imagine being so useless you have to major in the gender studies of numbers

>> No.11443993
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11443993

>>11443986
>being this dumb
lmao math majors finished

>> No.11443995
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11443995

>>11443988
brute force

>> No.11444007

>>11443002
>engineering major
Finding the utility of things is kind of (your) job.

>> No.11444014

amazing thread bros, keep up the good work

>> No.11444120

>>11443993
You could perhaps apply ring theory to the images saved on your own hard drive, and take pride in the fact that you'd be classified as an incel by any mathematically competent observer.

>> No.11444155

>>11443953
>>11443970
>>11443989
>>11443993
>>11443995
It's painfully obvious you harbor jealousy and spite towards math majors. Here's the thing: math is more of a philosophy than a science, yet it still has its uses in the natural sciences much like other branches of philosophy find use in the social sciences. Let me guess: you are salty a math major was able to just walk into an engineering job while you had to slave for internships kek. Engineers are the bitches of STEM: lowest pay/work ratio. Mathematicians have the highest job satisfaction of anyone. Engineers kill themselves daily lol. Are you still mad about the time a math chad took your gf? Lmao just let it go dude.

>> No.11444246

This thread is really hurtful.

>> No.11444260

>>11443002
There is no point in algebra.
Do analysis.

>> No.11444262

>>11443932
>Cryptography
>Physics
Could it get any more Jewish?
The white man does analysis.

>> No.11444269

>>11444262
yeah he analyzes a black man's dick in his wife's pussy

>> No.11444270

>>11443484
>chemistry
you never really need anything other than basic algebra for chemistry, maybe some bottom of the barrel calculus when dealing with thermochemistry

>> No.11444278

>>11443937
Hey, IPA beer is super tasty and doesn't fit with the USAer stereotype depicted, those drink bud light and other pisswater

>> No.11444285

>>11444270
Aren't there ODEs and shit in Chemistry?
It was part of a numerics of ODEs classes for me to simulate some chemical process.

>> No.11444362

>>11444262
This. The white man studies analysis, topology, number theory, and geometry. Applied math is jewed to shit.

>> No.11444363

>>11443815
>you're not studying what I study so you're subject is laaaaame
Seething.

>> No.11444379

>>11443885
even in my shitty Finnish applied sciences engineering degree we learned about Galois Fields when AES came up.

>> No.11444387

>>11443885
>That's a literal "what?" mate
Just because you don't know what it is doesn't mean it isn't highly relevant...

>> No.11444716
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11444716

What harm will do to you to open a fucking abstract algebra book and look for the applications chapter? Jesus fucking Christ, all you imbeciles do is post unoriginal, overused reaction pics of wojak and pepe with one liners or 1 to 2 words posts while deluding yourselves with the thought that you're "owning" or "BTFOing" each other. What a great way to spend your free time.

>> No.11444912

crystallography!

>> No.11444930

>>11443002

what do you mean by abstract algebra?

>> No.11444942

>>11443002
group theory is the systematic study of symmetry. symmetry is fucking important, noether's theorem is the buzzword.

>> No.11445239

>>11444155
>you are salty a math major was able to just walk into an engineering job while you had to slave for internships
This doesn't happen LMAO
That's like thinking learning group theory autism will make you a good doctor
No, you shit has no practical application and I can tell which of you are still in college by seeing which of you think you'll actually get a job that isn't teaching high school math
Engineers make way more than you, cope and seethe loser

>> No.11445241
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11445241

>>11444362
>the white man studies meaningless autisms while the Jews changes the world
We're doomed

>> No.11445247

>>11444942
>the systematic study of symmetry
lmao how do you systematically study something so simple as symmetry? Fucking autists lmao

>> No.11445291

>>11443002

> abstract algebra

abstract algebra does not exist as a field of study, abstract algebra is class that you take where you learn things that you need to know if you're going to study mathematics seriously

>> No.11445360

>>11443805
>physics
>nothing to do with group theory
Henri Poincare wants to know your location.

>> No.11445653

>>11445247
lmao fucking retard lmao

>> No.11446746

>>11443002
They're showing you how to model something in a very abstract yet rigorous way.
Type theory is a place where they use this modelling, but you could apply to it to anything. Dependent types is directly lifted from abstract algebra modeling, and it works. Think of something you could model using all the shit you're learning in that class, that's the entire point of learning math from an engineering point of view.

>> No.11446863

>>11443002
How come not one of you retards pointed out that fundamental particles appear as representations of Lie groups?
That's like the most obvious application to physics and you have dickheads ITT talking about their gay little computer games lmao

>> No.11447415

>>11446863
Because we were waiting for someone else to take this stale bait fagotes

>> No.11447441

>>11446863
>>11447415
This thread makes a great filter to be honest. The bait is so obvious, but people take it anyway.

>> No.11447469
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11447469

>>11443002
Lots of things in math look like numbers.
We learn adding and subtracting numbers in school. oh hey you can add fractions too! you can even add function and polynomials, and matrices, and vectors...

What abstract algebra does is generalize operations and structures so we can study them instead of their numerous concrete forms.
What properties are necessary for addition and multiplication to make sense? What structures have them? Once you understand them you can apply them to many mathematical situations.

Besides unlocking connections between mathematical structures, it is useful to abstract because it teaches you the essential features that make something work. This often makes hard problems easier than they would be if you have too many details.


See also the study of vector spaces, metric spaces, etc

>> No.11447755

>>11443002
>Utility
never talk to me again freak