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OK can you explain kernels and their role in transformations (f.e. the dimension formula)? No you can't this way. And it truly has an INTUITIVE explanation (so
by pfortuny 14y ago
OK can you explain kernels and their role in transformations (f.e. the dimension formula)? No you can't this way. And it truly has an INTUITIVE explanation (so much more than the intuitive ess of a spreadsheet!).
- marshallp 14y agoWhat's the practical use for understanding that intuitively (for the 1000s of people who have to go through it every year)? Genuinely curious.
- pfortuny 14y agoWhy there are things that, for example, block other things when watching TV (2d TV) and where they are. Why they are all "in the same direction"... This is the first, simplest, off-hand example I can come up with. Things are blocked "in parallel" (assuming the camera is far away from the objects) because that projection is a linear map (I repeat, assuming "far away focus") and has a one dimensional kernel: 2d + 1d = 3d, which means (flat TV + orthogonal lines = 3d world), that is the dimension formula.