/sci/ - Science & Math

ok

>>11197767
>ok

>>11197730
Give some examples of what exactly you don't understand.

>>11197730
Yes, very happy. Now leave this board forever before you start making iq threads

>>11197905
you'll never know the pain of being a brainlet

>>11197730
What exactly do you not understand?

>>11197932
>>11197828
this shit

>>11197943
I don't know what that notation means.

>>11197943
THIS is what you're struggling with, OP? And you call yourself a retard? I can barely understand basic calc shit. if you're retarded then I might as well have a single functioning neuron. sounds like you have imposter syndrome

>>11197730
>I DON'T GET ANYTHING.
I sympathize with your feels. I have a BS in physics and I minored in chemistry. I don't understand shit. I have no idea why anything happens. Every single thing I learned is just some approximation. I have no idea what is really going on.

>>11197730

These proofs are very very specialized and highly "crafted" i.e. many even hundreds of people might have modified them.
That's why they are so difficult to understand.

Usually the original idea is not that difficult with some exceptions.

>>11197943
just do a few concrete examples for two relatively prime numbers
it's not that hard, I had to learn this for a course in generating functions since the professor took number theory for granted

>>11197962
Same honestly. Primitive integration is a fucking enigma to me, let alone this shit

>>11198013
>just do a few concrete examples for two relatively prime numbers
that's not a proof

>>11197730
>I can't get past basic fucking elementary number theory proofs.
"elementary number theory", "elementary combinatorics", "elementary graph theory" and all this discrete math shit is still kicking my ass to this day (doing phd in math right now)

>>11198021
Doing examples is not proving it but can help OP understand the theorem better.

>>11198021

your retarded . doing examples is the only way to check a proof
more specifically , trying to find a counter example is what the best mathematicians do all the time

never post again you retarded monkey

>>11197943
fuck this shit, ima go jerk off

>>11198031
>your

>>11197943
Ahahahahaha what a fucking brainlet

>>11197943
I side with the dude who said do a few concrete examples. This shit is hard af, don't be so hard on yourself. You are doing things that 99% if the entire population can't do and will never be able to understand.

>>11197943
Don't we need more context, what's the phi function? Or is something you should you know

>>11197943
Bro are you a computer science major studying modulo operations? because same!

>>11199176
euler's totient function

>>11197943
if you honestly find this anything but elementary, I have bad news for you

>>11197996
This

>>11197962
>I might as well have a single functioning neuron
yes, correct. You are more retarded than a mathtard.
calculus is literally just memorization, I doubt you actually have difficulty and are just being purposefully lazy. If you can remember the lyrics to your shitty hip hop music, then you can do anything an engineer can, including calculus.
>>11197943
have you tried writing a proof yet?
>>11199282
this.
>>11197730
OP what is your previous experience with math, and what book are you reading?

>>11198021
Do them all then

>>11197730
You see OP, you learning in the wrong way. You should speak to different professors and try to get different explenations and look over this shit yourself. Identify what you don't understand and don't say "everything", highlight the specific parts and go over them.

>>11197943
what the fuck is hard about this? literally just the commutative property.

>>11197943
F(m)
= F(prod_p p^a)
= prod_p F(p^a)
= prod_p p^a [(1-1/p) if a > 0 else 1]
= (prod_p p^a) (prod_p [(1-1/p) if a > 0 else 1])
= m prod_p [(1-1/p) if a > 0 else 1]
= m prod_{p | m} (1-1/p)
Does that make sense to you?

>>11197943
>>11199465
And if you're wondering about the 3rd step see https://en.wikipedia.org/wiki/Euler%27s_totient_function#Value_for_a_prime_power_argument..

>>11197943
>>11199465
>>11199469
(contd.)
Mechanical symbol-pushing is one of humanity's greatest mental inventions because it automates stuff like this. So use it. Lay it out step-by-step like I did.

>>11199317
why not use a universal quantifier for Primes, p? if you want to do them all.

>>11198021
No but it's a great way to inspire a general proof. Presumably the textbook OP is reading gives a proof.

>>11197996
The reason why doing pure mathematics courses is pure hell if you're a "visualise stuff" guy (most guys in Physics are like that). You're only given "book proofs" that have been super manipulated with stupid trick to appear prettier, and they do not reflect the original logic that was underlying the basic mathematical idea being expressed.

>>11199731
This is why you're supposed to interact with it instead of mechanically reading / note taking. The correct flow is understand what the proposition is saying, then try to prove it yourself, then read the book proof, and then play around, weakening/strengthening hypotheses and shit. You're not supposed to read it like a novel, it's more like a video game strategy guide.

>>11197730
>ARE YOU HAPPY THAT I'M RETARDED?
Step 1: Hate him because you think he's not good.
Step 2: Hate him because you think he is good and you realize that those hundred generations of your ancestors weren't lying to you.
Step 3: ???

>>11199465
>= F(prod_p p^a)
>= prod_p F(p^a)
Justify this step.

>>11199313
>If you can remember the lyrics to your shitty hip hop music
the autist is back

>>11197943
Consider the set Z/nZ. phi(n) can be defined as the cardinality of Un = {[a] in Z/nZ : there exists some x in Z/nZ such that [a][x] = [1]}. Un is in fact an Abelian group under multiplication. This knowledge should help simplify the problem, if you have encountered basic group theory.

>>11199836
*saying something that is true*
>LMAO HE'S A FUCKING AUTIST LOL
you do realize how you sound, right?
I'm not being autistic, it's just fucking true. You can memorize your "nigga this. nigga that. I kill niggas, cuz I'm black. Smoke drugs; bust in rugs; fucking all these stupid sluts. nigga nigga nigga, I'm the realest nigga", just like you can memorize "lim(h->0)[(f(x+h)-f(x))/h] = dy/dx"
One has been reduced to symbols and is therefore more compact and easier to remember.
yeah, I am the autist, and I am fucking back. However, it seems that the retard neurotypicals never left.
https://youtu.be/pAaXzHJhA18
why the jannies hate a wise nigga?
I ain't a nigga, I'm an autist
autist, autist, autist, why you know so much true shit?

in summary: I am sincerely sorry you suffer from extreme mental retardation, I hope you get help.

>>11201134
I really hope this is pasta

>>11201134
Amazing post, kek'd hard

>>11201786
glad someone understands the method to my madness.

>>11197943
Anon... That's not that hard.

>>11201134
what

>>11201981
The idea isn't, the presentation is. It relies on heavy mathspeak that you can't make heads or tails of unless you're already proficient at it. It's like chinese that makes no sense to you yet a billion people speak it no problem.
Too bad math autists absolutely refuse to speak human because it isn't rigorous enough and might give you wrong ideas.

>>11197777
those quads and the btfo, good post

>>11197730
Same. Spivak is tearing me a new one.