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LKapitan
เข้าร่วมเมื่อ 21 มี.ค. 2014
I am a retired scientist trying to find something to do. I have a small farm with tiny farm equipment, a bunch of fish tanks, and a woodworking shop.
วีดีโอ
Love this Weber Q1400 Electric Grill
มุมมอง 26วันที่ผ่านมา
Pro's - Very easy to use, don't have to keep buying gas or charcoal Con's - Takes at least 20 minutes to warm up, very small, must be cleaned after every use.
Book Review, " Introduction to Tensor Analysis and the Calculus of Moving Surfaces", Pavel Grinfeld
มุมมอง 69714 วันที่ผ่านมา
Book Review, " Introduction to Tensor Analysis and the Calculus of Moving Surfaces", Pavel Grinfeld
Covariant and Contravariant basis vectors in non-orthogonal coordinates
มุมมอง 18214 วันที่ผ่านมา
Covariant and Contravariant basis vectors in non-orthogonal coordinates
Example of the Theorema Egregium
มุมมอง 7121 วันที่ผ่านมา
th-cam.com/play/PLZhbpMHhTQwfB2cwB3Lxd5eVtlCGkAG7x.html th-cam.com/video/x_9vJAU7EZw/w-d-xo.html th-cam.com/video/MqtnNQTdO44/w-d-xo.html
Gaussian Curvature Tensor 6 -The final form
มุมมอง 78หลายเดือนก่อน
th-cam.com/video/MqtnNQTdO44/w-d-xo.html
Gaussian curvature 5 - surface Christoffel symbols
มุมมอง 182หลายเดือนก่อน
th-cam.com/video/aVjpELLJvmE/w-d-xo.html th-cam.com/video/CvDkdJ06m88/w-d-xo.html th-cam.com/video/aa-EZLrM9IE/w-d-xo.html
Gaussian Curvature 4 - Projection Operators
มุมมอง 60หลายเดือนก่อน
Part of a playlist - th-cam.com/play/PLZhbpMHhTQwfB2cwB3Lxd5eVtlCGkAG7x.html
How to bold letters in Google Docs Equations Editor
มุมมอง 140หลายเดือนก่อน
How to bold letters in Google Docs Equations Editor
Gaussian Curvature 3 - Tangent Space Transformations
มุมมอง 205หลายเดือนก่อน
Pat of a playlist - th-cam.com/play/PLZhbpMHhTQwfB2cwB3Lxd5eVtlCGkAG7x.html I'm following professor Grinfeld's book - th-cam.com/users/redirect?event=video_description&redir_token=QUFFLUhqbFpsdjJ1QllrTk9lRXVnTXJDYnMtZV9SVmw4d3xBQ3Jtc0ttT0hIekVveTVuQWY1cTZ5Vl8wcmd2alVsTTRxYjVHN1I0eDVQVVZRVmpjQUloNFVtc0h4Uk1kUUZkR2lONW5mV0M0cDd0XzJueERickxQRWU2Rmx1SlZTOEhieWJEOUNHUkhMRGpWaXBmNkFDV2huaw&q=https://...
Gaussian Curvature 2 - The Normal
มุมมอง 85หลายเดือนก่อน
Part of a playlist - th-cam.com/play/PLZhbpMHhTQwfB2cwB3Lxd5eVtlCGkAG7x.html th-cam.com/video/ONAh9f8-zgQ/w-d-xo.html www.amazon.com/Introduction-Tensor-Analysis-Calculus-Surfaces/dp/1461478669/ref=sr_1_6?crid=1NZX6PILS0P6O&dib=eyJ2IjoiMSJ9.UmU_vOZDit1QxrhqlDeHMXwamXQwXQ8wEWDILozu6pVbDoM39YHQTNEmRN7lQrvtJAA1i13XKbsvIF1bi6G68ZcV_yptNr2NhAxPPd-jmu9flh3uzqaQbhldsQ-mNdd5tRDulkRXBbxol19XJFBGzdDbXsJI...
Gaussian Curvature 1 - The Shift Tensor
มุมมอง 645หลายเดือนก่อน
In tensor calculus, a "shift tensor" refers to a specific type of tensor used to describe how vectors on a curved surface (like a manifold) change when "shifted" along the surface, essentially representing the "translation" of a vector from one point on the surface to another while staying within the surface itself; it is a mixed tensor with one contravariant index related to the ambient space ...
Testing the Marineland Emperor Micron Filter
มุมมอง 42หลายเดือนก่อน
Testing the Marineland Emperor Micron Filter
Exploring the symmetry of Christoffel Symbols
มุมมอง 274หลายเดือนก่อน
Exploring the symmetry of Christoffel Symbols
Deciphering some math notation in differential geometry
มุมมอง 231หลายเดือนก่อน
Deciphering some math notation in differential geometry
Deep Dive into the Metric Tensor - updated
มุมมอง 824หลายเดือนก่อน
Deep Dive into the Metric Tensor - updated
Inner Product of Tensors vs Contraction of Tensors - updated
มุมมอง 81หลายเดือนก่อน
Inner Product of Tensors vs Contraction of Tensors - updated
Tensor Inner Product vs Outer Product
มุมมอง 1322 หลายเดือนก่อน
Tensor Inner Product vs Outer Product
Designing a GaAs MESFET material structure
มุมมอง 762 หลายเดือนก่อน
Designing a GaAs MESFET material structure
Why do saltwater tanks look much clearer than freshwater tanks.
มุมมอง 2832 หลายเดือนก่อน
Why do saltwater tanks look much clearer than freshwater tanks.
Finding basis vectors in Minkowski Space-Time
มุมมอง 662 หลายเดือนก่อน
Finding basis vectors in Minkowski Space-Time
Prove the covariant derivative of the metric tensor is = 0
มุมมอง 3272 หลายเดือนก่อน
Prove the covariant derivative of the metric tensor is = 0
Test your Tensor Calculus syntax skills
มุมมอง 3612 หลายเดือนก่อน
Test your Tensor Calculus syntax skills
I’ve had 4 in a 20 gallon for over a year none have died
Thanks!
Wald is a very advanced textbook!! Carroll is much more accessible and considered an absolute classic. Introductory books are the one by Scharz or Hartle. For differential geometry, the 2 books by Loring Tu are real gems 💎💎💎
Yes, Wald is too much for me at this stage. I have heard much about Tu's books and they are on my list. Thank you.
Pretty epic, mines held with zip ties! I learned recently that the uv in them can cook the zip tie to brittleness over time haha! I’ll have to swap them out occasionally…
I have several, and swap them out every few months to clean them. So simple, and it takes only a few minutes.
Please more book review videos! ❤❤❤
Professor Grinfeld has a new version of the book available on his website. Unfortunately it's only in pdf...
I do like the book. I find the notation a little annoying in terms of the symbolism. Overall, I do recommend it.
Me: learning double, triple, curve an plane integrals, Green's, Gauss'es and Stokes's theorems for a math 3 exam, and YT is like: Hey, I dunno why, but you may be interested in this! Me after watching it: Bro, wtf but it is so true 😂
This has inspired me to make videos similar to this, where i just give me own thoughts about random stuff i find interesting. Ive been putting it off for far too long lol
@@fizzymizzy_ dude, you nailed me, that is exactely what my channel is about, your the first one to state it.
@@lkapitan8232 keep being you lol, i really dig this kinda stuff. 'genuine down to earth content feels rare in the sea of the diluted 'high effort' content made for monetization.' is how i would put it lol
@ thanks for the kind words, much appreciated
I recently started doing these aswell, it's so fun reading these old books
What I don’t understand is why it’s not as simple as unrolling the cylinder to get the diagonal of the curve since it’s constant slope, and using that as the internal circular diameter?
As a sheet metal fabricator I can tell you exactly why his initial calculations were wrong or at least flawed to begin with. We use something called a K-factor when calculating the bends of metal, now steel has a convenient K-factor of 0.5 meaning, he should've added half of the width of the spiral to a before making the calculation. So in reality a = 7.75 To explain what K-factor is simply, it's the theoretical line you draw down the edge of a piece of metal, that after bending, has gotten no shorter or longer due to deformation. IE on one side of this line the metal is being squeezed together and on the other it is being stretched. For anything with tooling the final K-factor will in reality come down to a table of K-factors that they arrived at experimentally long ago. To maybe be tweaked if the part can't hit tolerances after being cut. But for anything that'll be slip rolled, it isn't the internal or external diameter you use to calculate the length, it's width of the piece, multiplied by the materials K-factor, plus the internal diameter. That is your actual radius.
@@akselbering291 that is so cool, thanks for sharing
2:22 this is false. If it was a real engineer, they wouldve just said 6
My jd 950 had same problems but the alternator wire was broken off. Put new end on it and it started right up. Good video thanks 👍
Seeing this next to a machinist's video titled "This is why we hate engineers" is so funny
I thought you where going to put the end of the air line INTO the POWER HeADS Venturi and that will suck it out too!!! Try it do a vid. Say Pauli sent ya!
Thank you for making this video and posting in the comments how you fixed it. This is happening with ours right now!! Ugh!
@@mhopton01 you're welcome
@lkapitan8232 we ended up taking the top off and cleaning the seals really well, put back on, stopped the leaking. Thank goodness!!
Do you think this will fit over the lip of my standard 75 gallon tank. it says it will do 3/4 but reviews on their protein skimmers from Aqua ready say they don't fit. It wouldn't be my main filtration but was hoping my uv (green machine) would fit in the area where the water comes out Refugium area along with my heater. Tx
Just measured my 75 and got about 1 3/8 inches frame plus lip. Measured the HF-M and it was about 1 inch. So no, it will not fit.
I understand they wanted to get unwrapped plate shape in order to weld on a cylinder. Today, one can find it quickly using cad tools.
a bit confused here. isn't e sub i dot e sup j = del sub i sup j only for orthonormal basis? but we're dealing with curvilinear coordinates. this should not in general be true. please explain.
No, it is also true in curvilinear, Here is an example in plane polar coordinates, th-cam.com/video/l8_VmhxeU1A/w-d-xo.html
@@lkapitan8232 checked out the video, thank you. are you saying that all curvilinear coordinates are orthonormal? what if i have two bases vectors at 45 degrees to each other? surely their dot product will not be zero, no?
@@boriskogan666 No they do not have to be orthonormal. Plane polar coordinates are orthogonal, but not normal. The theta basis vector changes length as the radius increases. Most beginner problems in General Relativity use orthogonal basis vectors. May want to try this one, th-cam.com/video/Elvn0FCbygQ/w-d-xo.html
@@lkapitan8232 right! not orthonormal, but orthogonal, no? how else would you get the dot product to be zero? and my confusion is, if the curvilinear bases do not have to be orthogonal (in fact in general they will not be orthogonal), then the assumption about when to use the kronecker delta is wrong? what am i missing?
or am i completely crazy and they do have to be orthogonal (in order to be linearly independent), but not normal? it's been such a long time since i studied this. i guess what i am really asking is e sub i dot e sup j = del sub i sup j always true? can i not find a set of basis where this does not hold?
Happy New Year
And to you also.
I am trying to learn. Any books you would recommend? I can only loosely grasp this on more of a general scale but get lost in the actual jargon at the moment
That is exactly what happened to me when I tried to jump into the middle. I then started over with this book, "A student's guide to vectors and tensors", Dan Fleisch, Cambridge University Press. And this wonderful YT channel, th-cam.com/play/PLXPyU0M9IEAbIYz6O5v3IynmnNlY-uraS.html
O ring lube usually sorts it out.
I just got mine and have never used one before. The instructions aren’t great on how to install it lol
Pull the intake tube (U tube thing) away from the motor housing, push the filter in the back tube, slide the intake tube back into the motor housing and that's it. Did that make sense?
Cool thing is that the mathematician doesnt need to do a whole other round of guessing if there was a slight variation in the initial conditions or parameters. The answer will always work if a mathematician can generalize it.
Happy New Year
@@nrrgrdn and to you
I can remember when I was in company during my masters and the task was to design and tune a controller fast in a day before the superior was flying. I had a plant model and the controller architecture was proposed. There were like 2 controller parameters to tune. I did trial and error tuning and after a few minutes I got the parameters. My superior came and asked me how I got to that parameters. He wasnt happy about my approach so he started to do the proper design method using pole placements and in the end after hour he ended up with parameters that happened to be the same as mine.
Did you use the Ziegler Nichols tuning approach?
@@fablearchitect7645 No I didnt because it tends to lead to quite undampened oscillations. Also because I had the simulated plant model I wasnt very limited with physical reality.
for me it's usually different: do the formal analysis, build it, then tune "by hand" if it is not good enough.
@@victortitov1740back in my first year of mechanical engineering I would design and build something ‘by hand’ and then reverse engineer a formal analysis which I then used to fine tune my design, let’s just say this only worked for very simple systems of course
nice
@@hyferg thanks
I read the title as "a very shitty tensor" and was like why we hating?? (I'm yet to take tensor calculus this semester)
Good one dude, had not thought of that, I need a better pun.
Lol the filter media goes up top in the filter not where the surface skimming is
That "HELLO" felt so human-like. You know what I mean
Yooooo Frank Morgan was my Prof at Williams College. One of the GOATS!!!!
This is the first screen cap I've seen of someone working on a chrome book.
@@sud9320 it's the only computer I use now, so easy and fast
VSV is not NOPOX tho. NOPOX is made from BioEthanol and smells entirely different
You can spend 200 hours thinking about how to do something, or you could just give it a try. Unless lives are at stake, then take the 200 hours. Obviously.
Thats the shortest book ive ever seen on Riemannian Geometry! Id recommend Lee's smooth manifolds book (2nd edition) to give you the tools needed to really dive into this course!
Indeed it is short, too short, Thanks for the book recommendation.
I love that engineers will happily try things and iterate to find a functional solution; however, the perfectionist in me also appreciates how the curious among us will search for the answer that lies beyond a functional solution.
its nice to see the random stuff i saw in cal 3 having real world use.
My mentor at my first engineering job always scolded me about trying to be "too precise". He always told me: "it's not pharmacy". Years later I say this to every intern I have
Funny, I used to tell my group the same thing, I had to get products out the door and they wouldn't let go because it was not "perfect"
same with programming stop trying to under stand the fundamentals of electricity and chemistry when youre just makin a gosh darn game
I work in pharma, and let me tell you it's not always that precise here either. Certainly if I had a drug that came in 10.45 mg vials and someone filled some to 10.5 we'd accept that.
thats cool and all but i wont let you build my house xdd
**3.png** **pi.png** **e.png** _"3 pie. They're the same pictures"_
The speed? I see it as the slope. This is not that groudbreaking and I can see many engineers reaching a similar conclusion.
"someone has to do the shit we make up" ~ an architect, probably
The helix is not for structural support, but to prevent damage that could be caused by vortex shedding on a smooth cylinder.
your channel is a gem, keep posting!
Thank you for saying.
a mathematician and an engineer are walk into a bar. They both notice a pretty girl across the room they both want to talk to her so the engineer proposes a bet: he who gets to the girl first gets to talk. they both sprint towards her and are kicked out of the bar the end. ...i forgot the original joke
😂
Whoa whoa whoaaa! How am I gonna convert my eel from brackish water to freshwater? If bacteria need to always exist, I need to convert it in a flash, I don't think the eel could adapt that fast.
That is a really good question. If you can convert slowly it should work.
The first page talks about Curvature and shows the equation we learn in vector calculus. Very interesting to see practical applications! Thank you for sharing.
@@dhickey5919 you're welcome, thanks for watching
Nice though 🙂
I wonder, who calculated structural strength calculation 😊
That is a very good question. See reply below from FirstBurns
well, engineer obtained this from experiment. Mathematician had a formula. Formula can be applied to another size of stake. experiment must be done again. however, experiment may be done with paper and scisors, in small scale 😊