#Partial differential equations
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Test functions and [tempered] distributions require the notion of topological vector space … distributions can be traced back to Green's functions in the 1830’s to solve ordinary differential equations … the 1936 work of Sergei Sobolev on hyperbolic PDE’s.
Laurent Schwartz introduced the term "distribution" by analogy with a distribution of electrical charge, possibly including not only point charges but also dipoles and so on.
tempered distribution
topological vector space
(^ if there is a dipole, there must be a notion of subtraction, hence the need for a vector, and to speak of this very conceptually, use a TVS)
#hyperfunction#Laurent Schwartz#Alexandre Grothendieck#tempered distribution#Fourier analysis#mathematics#maths#math#Fourier transform#Joseph Fourier#test function#vectors#topology#Sergei Sobolev#partial differential equations#PDE’s#multivariable
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There are few things in this world that I hate more than solving Partial Differential Equations Man was not meant to have calculus of more than one variable. We have flown too close to the sun and as a result I have to suffer calculating the heat dispersion across the wings of Icarus, using a second order 4 variable PDE.
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Smooth waves
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i love you phi-independence, i love you theta-independence, assume everything is spherically symmetric, boundary conditions are always zero, i love you steady state approximation
#can you tell i just wrote a final#it went great!#i was terrified for this final so#we celebrate tonight#it was partial differential equations#math has gone too far i swear#math#mathblr#physics#physblr#i love it when i don't have to think
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Technique could efficiently solve partial differential equations for numerous applications | MIT News
In fields such as physics and engineering, partial differential equations (PDEs) are used to model complex physical processes to generate insight into how some of the most complicated physical and natural systems in the world function. To solve these difficult equations, researchers use high-fidelity numerical solvers, which can be very time-consuming and computationally expensive to run. The…
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there's always a specific kinda guy in community college who can do math and science stuff at a university upper level degree but thinks he's hot shit for it, despite him usually being about normal or below average for university upper division. which is why he's still at community college
#jamie has made a statement#thinking about those dumbasses in calc classes who think they're so smart for being in them#i also encountered this in university instead of community college but that's a different kind of guy#who is usually in engineering and thinks they're hot shit for it despite being about average grades wise#like no bro. you're just in calc class get over yourself#oh look an opinion#anyways i'm just thinking about those ppl today#because i'm training a bunch of people in a technical thing for work#and they're all like 'oh i just don't get it bc i was never good at this stuff in college or high school'#and i'm like how much of that was ppl telling you you wouldn't be good or elitist ass teachers who were this kind of guy#anyways i hated this kind of a guy who's like 'oh it's simple to do an integral or partial differential equation' and would be an ass#'what do you mean you don't get it'#bitch i'm in class why do you think i'm here
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fuck it this summer I'm gonna study statistics seriously this cannot go on
#it's ridiculous that in the one exam we had about this the prof just did a couple of lessons instead of half the course#and then everyone after pretends we already know everything#i should also probably review partial differential equations 🤔 and start learning type theory 🤔
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now that I'm no longer drowning in coursework, I've been writing again!
#every time i open the document i have to read through the whole thing to remember it bc i haven't looked at it for months#im taking number theory and numerical methods for partial differential equations#which are both fun and im not too far behind so! i have a little bit of free time every now and then now!
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i don't want to do my grad homework i want to play harvest moon
#why solve partial differential equations when the perfect fantasy farm dream is right there#like i booted up animal parade yesterday bc i felt like death from period cramps and it was such a delightful nostalgia bomb#pretty sure if i play magical melody i'll just cry the whole time bc i sunk soooo many hours into that as a kid it just can't be beat#the newer stuff is good too (the story of seasons ones i mean) but there's something so soothing about the slow pace of the older games#trio of towns felt so GO-GO-GO with the huuuuge amount of stuff to do and tbh stardew valley gives me the same stressed out vibe 🙈#just let me chill rather than push me to optimize my crop rotations or whatever
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Here's the full math vid too! The other post only includes the last half of the video and it's so much better when you can see the whole thing.
youtube
that animation is Animation Vs Math by Alan Becker, he has a similar on on physics as well
youtube
!!! thank you for the source!
#physics#science#animation#quantum mechanics#astrophysics#classical mechanics#electromagnetism#omg this is BEAUTIFUL i absolutely adore this video!!#it shows so many physics concepts in such a concise way#i was expecting some relativity in there as the acceleration approached the speed of light but eh#cant have everything lmao#fav#the math video covers:#arithmetic#trigonometry#matricies#linear algebra#complex variables#sequences and series#derivatives and integrals#and an argument can be made for regular and partial differential equations (wave functions are the stuff of nightmares)#these vids make math and physics FUN and im all over it#mathematics#Youtube
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[PDF] MA3351 Transforms and Partial Differential Equations (TPDE) Books, Lecture Notes, 2 marks with answers, Important Part B 16 Marks Questions, Question Bank & Syllabus
[PDF] MA3351 Transforms and Partial Differential Equations (TPDE) Books, Lecture Notes, 2 marks with answers, Important Part B 16 Marks Questions, Question Bank & Syllabus
Download MA3351 Transforms and Partial Differential Equations (TPDE) Books Lecture Notes Syllabus Part-A 2 marks with answers MA3351 Transforms and Partial Differential Equations Important Part-B 16 marks Questions, PDF Books, Question Bank with answers Key, MA3351 Transforms and Partial Differential Equations Syllabus & Anna University MA3351 Transforms and Partial Differential Equations…
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Wednesday, March 6
Some spring break study vibes. Trader Joe’s lunches, Starbucks and local coffee shops, reading, Partial Differential Equations homework…
I am sort of (definitely) behind on my math homework because I asked for an extension on my assignments during midterms since I was also moving out of my house at the same time. I finished 3 of 4 problems on the first assignment today, with a second assignment to worry about tomorrow. I’m stuck on the last problem of HW 1 so I’ll end up asking for help on that, I’m sure. Hopefully the second assignment is manageable. We’ll see tomorrow.
also tackling some much-needed attention to my social media. I usually post whatever I feel like, but every once in a while it’s important to take a look at my accounts and see how they make me feel and how I want to present myself to the world
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Since some of you have asked, yes, my midterms are done, and yes, I am maintaining my straight A's streak.
Statistical Learning I (94% A)
Computational Physics (96% A)
Partial Differential Equations I (94% A)
Soft Matter and Biological Physics (93% A-)
Mechanics (95% A)
It all seems a little anticlimactic because I'm having issues with my mother once again. I won't bore you with the drama save to say that she has taken once again to legal action, trying to take my trust (something she has already failed legally to do) but it's such a downer.
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utterly deranged. actually i think most americans are incapable of solving high order partial differential equations because they are really difficult to solve. and not because people are decent human beings
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Physics Informed Neural Networks
Physics-informed neural networks, a deep learning method that bridges the gap between machine learning and scientific computing.
PINN has superior approximation and generalization capabilities, which made it gain popularity in solving high-dimensional partial differential equations (PDEs), and has been used in various applications such as weather modeling, healthcare, and manufacturing.
#machine learning#deep learning#artificial intelligence#physics#data visualization#data science#coding#programming
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