/sci/ - Science & Math

>>15663509
>What is the most advanced math you understand?
Abstract Number Theory.
>can you explain it in simple and sophisticated terms
No, its too counterlogical to traditional and taught mathematics, only advanced professors who are already steeped in novel mathematics even touch on it. Anyone else, no, theyre trying to learn how things are, theyre not ready to throw all definitions and rules out the window to rebuild all of it from scratch.

>>15663509
Riemannian geometry, which was the last math class I took in undergrad before going medfag and never looking back

I could explain some concepts (especially in spaces of constant curvature) at the HS level but it's kind of pointless. If you want to learn about math, you need to actually learn the math imo.

>>15663526
How does it differ from traditional number theory?

>>15663509
Geometry. I can only explain until HS lvl, but it takes too long to write here.

>>15664192
I'm guessing it used abstract algebra. But I thought that was called Algebraic Number Theory

too plus to is for

>>15664192
Normal Number Theory is very basic and rudimentary and it only gets interesting if you *really* get specifics in definitions, its borders on linguistics and logic when youre not using it to calculate.

But the Abstract part reinvents the very concept of math and numbers and redefines from the ground up. Norman Wildbeerger is the only person Ive seen that gets close to the stuff Ive done, mostly he just kind of touched on it but didnt go hardcore on it, but his work o Arithemetic redifinitioning was pretty closez we both came to the same conclusion of "errors in the foundations of Mathematics" but that topic is for Pure only, has nothibg to do with what people use in their daily lives.

Things like a base system with no zero, dynamic binary, ratio base systems (I did a lot of work in base systems, which dictates what a number (1) is divided into as its magnitude (.1 out of __). Super abstract and not really compatible with regular mathematics, whoch when people hear they try to convert it into their math and their brain calculator says "ERR".

>>15663526
>>15664360
Namefag is larping and doesn't actually know any math beyond high school algebra.

>>15663509
differential calculus: replacing nonlinear transformations by linear transformations

>>15664384
Sounds like you need to take this up with your professor, you dont pay me, Im not here to educate the unwilling.

Its nice to see the breath of life back into him, he was looking rough back in the day. He got his vigor back when he got the recognition he deserves.

>>15664431
He looks like a Morrowind character

>>15664303
No, its square or √2, you didnt show your work so I wont know which until you do.

C-

>>15664459
>Camera pans up to him.
>"You call that a Real? En Garde!"

>>15664467
>√2
>not √4
Oops, now I look stupid. Thats what I get for not giving you my full attention.

measure theory

i learned it for probability theory and quant finance

let me know if you want me to explain it

>>15663509
Basic probably theory. I’m an applied math tard

>>15664603
>Measure theory is the study of measures.
As a Metrologist I really like the name but try to keep things as simple as possible.

>What is the most advanced math you understand?
The topology of a line.

>>15663509
Jews control the world

odes and some vector calc, pls no bully

Artin reciprocity, class field theory in general.

>>15663509
>fundamental algebra
>its a way to turn most basic functions of planning and systematic investigating of daily life or simpler tasks into equations to find missing information

>>15664360
Read this post carefully.

Now that you've fully taken it in, would you believe, judging from how the post was written, that the author of that post is a world class mathematician?

>>15664402
what video is that screencap from?

>>15664747
same, divergence, curl in 3d, some partial differential equations, taylor series, fourier series. are you from an engineering background?

>>15663509
Stochastic Calculus
HS lvl:
>Finding the area under the curve when each point of the curve can be somewhere random and this makes the area random too

Undergrad
>Calculus but now dX(t) is a random variable and must be carefully manipulated to account for this

>>15665056
That seems cool anon, can you talk about it a little more?

>>15663509
I once had infinity explained to me in a dream like this
>the leaves of a tree fall to the grown
>they decay into the soil
>the soil feeds the tree
So yeah after mastering infinity in 11th grade I guess you could say I’m pretty advanced

>>15664663
>topology of a line
I really like the way that sounds, topology has such a 3D feel to it but isnt.

>>15664900
>world class mathematician
Polymath savant that lives in a reality you will never comprehend, what do you want to know about what I said? I dont take much interest in Reals, I never had issues with definitions of numbers, did a bit with Arithmatic as I reinvented it and compared mine to his. Much of what I did was invent on my own and compare what I made with what humans made, usually nothing too interesting comes from it but theyre lottery tickets so sometimes I get a really interesting one, reinventing something (without pooking how its defined) and seeing a quite different take on it is fascinating to me.

I was way off on Tropical Math, I was seeing assuking more complexity than there was.

Lastly, youre comparing me to specialized Mathematician who do no work in other fields like History, Art, Psychology, etc with the exceptipn other polymaths like that Ken Wheeler (who's Geometric works I admire.) This makes you a literal retard thats unable to differentiate intelligence, a normie jackass that compares a swiss army knife with a tool for dozens of jobs to surgical scalpel, you dont know me and look like a jackas tryng to "show people who I am".

Victor Porton is a "world class mathematician", he is also crippled with autism to the point its like being around rain man or sheldon cooper in season 1, when he is detached in himself.

https://youtu.be/l2hIIvF5gJI

Instead of comparing math...lets do something more dumb, more "your speed" since math talk is way beyond you. Post you favorite song, this way I will know your depth of perception in patterns, tone/note, cadence, intricacy of lyrics, etc. I can see what you think is good. I'll show you one in response.

If you dont understand why thats relevent thats because youre not a very bright person and have an ego issue.

>>15663509
A monad is a monoid in the category of endofunctors.

>>15664953
you guessed it, fren.

>>15666197
i enjoyed the math in my program, though I wasn't particularly good at it, I've always found it interesting and love to watch videos on math concepts. Calculus didn't *really* click for me until we got to real analysis, i guess i'm just retarded. Math is one of those things I just wish I was good at I guess.

>>15666220
you've gotten through more than most of this species. i mean what fraction has even done calc let alone real analysis? and i know that feel of figuring out the prereq during the req course. happens to me all the time, going back to more basics and having these eureka moments where it really cements.

>>15663509
the fifth arithmetic operation
https://www.youtube.com/watch?v=6lORU03yuvY

the fifth arithmetic operation
Domingo Gomez Morin
https://www.youtube.com/watch?v=6lORU03yuvY

>>15663509
Partial differential equations and multi variable calculus. Didn’t really need to go further for my engineering undergrad

>>15665693
this is not even remotely advanced. Since you appear to be a haskell-fag, you could have said, recursion schemes, and catamorphisms... try harder

>>15666234
I appreciate that, thanks friend. I really do love math.
>>15667205
ayyy lmao, engineers unite.

>>15663509
Some basic calculus for finance.
It sucks being a brainlet.

>>15667965
Thrembonics
Ϫ*Ϫ≠Ϫ
Ϫ-Ϫ=0

>>15664360
lol

>>15665622
Did you or do you ever write really long comments on Youtube videos?
Your writing style and presentation are so familiar to me.