lol, I had to turn on the subtitles because I thought you were saying "noodles" every time you said "individuals." Great introduction to differential equations.
LMAO, yeah, my accent always gets much worse when I have to speak in a "serious" setting. Had to do several takes for that word. But I'm glad you liked the video!
Very interesting video. The part I can't fully understand is the term XY at 13:26. I don't see how units match. Is there another way of seeing it without introducing a constant with value 1 to fix the units?
Oh, yeah, I ignored units because it's a bit annoying to get right, and I thought, talking about it wouldn't add much. Firstly, X and Y are often relative amounts with respect to a(n unknown) maximum and therefore dimensionless. All parameters then have unit [1/s]. Secondly, if we do want to add units to the numbers of mice and owls -- say [M] and [O], respectively -- then alpha and gamma would still be [1/s]. But beta would be [1/Os] and delta [1/Ms]. The first, for example, could be said to be "the rate with which mice disappear per owlsecond". Which... kinda makes sense? The more owls and the longer the exposure, the fewer the mice. But I find it easier to ignore units altogether for this kind of overview.
I have nothing on hand, as I don't use it much for physics. (Except sphere-vs-SDF, which is automatic.) But there's a new paper, which looks interesting: doi.org/10.1016/j.cagd.2024.102305 Haven't had time yet to read it, though.
This content is gold! I'm from Brazil and I'm developing a web platform with interactions, I saw that cindy.js would be ideal. Please keep bringing more videos like this, they are really good! A video showing how you do the animations, in addition to the github repository would also be great
German teachers are the worst….want to learn anything engineering maths,stem related…see Indian teachers…that’s why indianz have scaled maths and engineering education like crazy while these Europeans,Russians Germany teachers struggle big time
Amazing thank you very much ! just a little question your animations are really nice and smooth, how do you manage to do that ? is it a particular software or clever use of powerpoint + editing software or others ?
Thank you for the amazing video ! I'm planning to use FCA to create concept heirarchies and this was a great primer on the subject coming from a non-mathematical background ! Cheers
Hello! Thank you so much for the video. Please clarify one moment: Is it mistake in 1st Concept Lattice? There is [ (Bo,Fa,Ti) (HDMI) ]. But should be [ (Ch,Fa,Ti) (HDMI) ] instead. Respectively, down in lattice: should be [ (Ch) (CD, HDMI, bio) ]. Pls, correct me if I'm wrong.
I am struggling with februaries. Everytime i get it, i do 28 or 29 minus date to find what the closest doomsday is, but it gives me a negative number since 28 is larger than the number of the date. Am I calculating this wrong? Im not sure what to do with februaries at this step.
Oh, negative numbers aren't a problem! Say you have -4 at some point. That means you're 4 days before Sunday, which is the same as -4 + 7 = 3 days after Sunday, which would be a Wednesday.
This feels interesting in theoretical circumstances, but I feel like it might need to be adapted in practical examples like the laptop one? With subjective reviews like this, I feel like having one "incorrect" review that overvalued or undervalued a laptop might change the results - real data is noisy and the mathematical rigor of this theory might be less suited to the problem than a more flexible neural network or genetic model. Worth looking into, though.
Great video! Unsolicited English tip: pronounce "v" as a hard, sharp sound to differentiate it from the softer rounder "w". Don't be misled by the "v" character! In English it is pronounced like start of "wasser" in German.
Very nice video! I learned a lot of new perspectives. As someone who works with spatial analysis tools on large datasets, I often wonder about how graphics approaches work versus the implementations of basic spatial relationship calculations. There is obviously much conceptual overlap, and I’m curious how many techniques are shared directly.
Everything is clearly explained @sumandproduct, great video, congratulations! I just wonder which software did you use for the figures and animations? Thank you
Lovely introduction! It’s nice you not only mentioned what SDFs are but also derived a couple of basics ones 👏🏻 P.S. Though ray marching usage is pretty rare, typically we render “pre-baked” 3D geometry (stored as a list of vertices and normals not its mathematical description) with some sort of ray tracing.
Ray-marching for collision-detection? Sounds useful. How to handle the different shapes of the objects involved, though? Could be a topic for a new video.
@@sumandproduct Yeah, I can see how you'd do sphere-anything collision. Subtract the sphere's radius from the SDF of whatever it might hit and then ray-march the same as if you're rendering the scene. Basically, making a rounded box and doing sphere-box collision would be the same process. The real headscratcher is how to handle other shapes and the potential rotation that would be introduced when they collide.
@@Roxor128 From what I learned during the research for this video, I wouldn't be surprised if checking for collision of two arbitrary SDFs is just not possible.
@@sumandproduct it is actually possible, but it requires gradient descent on the sdfs, and likely only works on true sdfs, not ones created using the unions of the shapes. it boils down to reducing the problem to the same one as colliding sphere sdfs, but by solving the system of equations formed by the two sdfs you are colliding. very possible, but time consuming and not very performant, as opposed to using bounding volumes to perform collision detection. There are several papers on it from Nvidia/other graphics researchers, and I think it probably does have it's place in physics simulations
