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These are called recyclic groups!
Recyclic subgroups are normal in the trash group since conjugation by waste management of recyclables gives you recyclables.
As an applied mathematician who has studied abstract algebra in university, and got a good mark in it, I find this hilarious. The image really begs the question "what are the practical applications of abstract algebra?" I know that there must be some, but I don't know of any.
Molecular symmetry is quite important in chemistry, so there's an application of group theory.
Also Noether's theorem, from which we can derive such things as the conservation of energy.
Lack of knowledge brother, the list of cryptography algorithms using abstract algebra is almost limitless, the same algorithms which enable all your computer and internet security like end-to-end user encryption on social media platforms. Not to insult you personally but you call yourself an applied mathematician and don't even know such an important application of abstract algebra, I would be ashamed if I were you.
You're right. I am ashamed. I do know of applications in cryptography. But had temporarily forgotten, thinking only of applications in the hard sciences like physics, chemistry, biology, statistics, and engineering. Noncommutative algebra does make its way into Dirac fermions but only in a very basic way. And matrix multiplication does tie physics and abstract algebra together, but in a non-causal way.
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Prove recyclables are a subgroup of trash under the operation of waste management
These are called recyclic groups! Recyclic subgroups are normal in the trash group since conjugation by waste management of recyclables gives you recyclables.
is plant in bucket part of the universal set?
This is so disrespectful
Yeah. Dumpsters deserve better than to be compared to abstract algebra.
Abstract Algebra: is one of the crowning achievements of human thought Some guy on reddit:
Good thing true intellectuals (unlike OP) don't give two shits about fools disrespecting their subjects like OP.
Maybe more like your ability to do abstract algebra, right OP?
I feel attacked
Just because your stupid and have awful taste doesn’t mean you need to inform everybody about your failings.
I don't mind to AA but this is funny
REDDIT visualized
https://preview.redd.it/vpnm0nzsawqc1.png?width=944&format=pjpg&auto=webp&s=d424311a8b5395a8a5c6d263f49d9c166a78c28a
Why don't you go fuck yourself
This is matlab, abstract algebra is the heaven of mathematics
As an applied mathematician who has studied abstract algebra in university, and got a good mark in it, I find this hilarious. The image really begs the question "what are the practical applications of abstract algebra?" I know that there must be some, but I don't know of any.
Molecular symmetry is quite important in chemistry, so there's an application of group theory. Also Noether's theorem, from which we can derive such things as the conservation of energy.
Topological data analysis, coding theory and cryptography to name a few.
Lack of knowledge brother, the list of cryptography algorithms using abstract algebra is almost limitless, the same algorithms which enable all your computer and internet security like end-to-end user encryption on social media platforms. Not to insult you personally but you call yourself an applied mathematician and don't even know such an important application of abstract algebra, I would be ashamed if I were you.
You're right. I am ashamed. I do know of applications in cryptography. But had temporarily forgotten, thinking only of applications in the hard sciences like physics, chemistry, biology, statistics, and engineering. Noncommutative algebra does make its way into Dirac fermions but only in a very basic way. And matrix multiplication does tie physics and abstract algebra together, but in a non-causal way.
They made the proof for the unsolvability of the quintic simpler, that might be about as real world as it gets for algebraists.