#Partial differential equations
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isomorphismes · 1 month ago
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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)
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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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ultraweathercoremax · 2 months ago
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Smooth waves
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maybeinanotherworld · 1 year ago
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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
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cleverjudge · 11 months ago
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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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solemntitty · 1 year ago
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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
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elipsi · 2 years ago
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fuck it this summer I'm gonna study statistics seriously this cannot go on
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nxghtshades · 9 days ago
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now that I'm no longer drowning in coursework, I've been writing again!
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returntotheground · 2 years ago
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i don't want to do my grad homework i want to play harvest moon
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the-yearning-astronaut · 8 months ago
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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!
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qualityloveparadise · 2 years ago
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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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vacuously-true · 1 year ago
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calculatedliterature · 9 months ago
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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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abiwaif · 2 months ago
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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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tomorrowillbeyou · 1 year ago
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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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theinsaneapp · 2 years ago
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Physics Informed Neural Networks
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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.
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