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> we are really not that great thinking in higher dimensions. Normally when you've hit 4d arrays, are you not dealing with a grid of grids? That is say you've
by bear8642 1y ago
> we are really not that great thinking in higher dimensions.
Normally when you've hit 4d arrays, are you not dealing with a grid of grids?
That is say you've got a 2×3×4×5 array, another way to think about that is you've got a 2×3 matrix of 4×5 matrices. (APL example to show what I mean: https://tryapl.org/?clear&q=%7B%E2%8D%B5%2C%E2%8D%A5%E2%8A%82%E2%8A%82%E2%8D%A42%E2%8A%A2%E2%8D%B5%7D1%3D%3F2%203%204%205%E2%8D%B42&run https://tryapl.org/?clear&q=%7B%E2%8D%B5%2C%E2%8D%A5%E2%8A%8...)
- cycomanic 1y agoI agree in principle, but if you try to do operations about submatrices (and in a way that's what the article is about) it gets tricky quite quickly. I actually often find it even harder to understand if there are multiple nested loops, but that might also be because I use numpy much more often.
- thaumasiotes 1y ago> That is say you've got a 2×3×4×5 array, another way to think about that is you've got a 2×3 matrix of 4×5 matrices. No, a grid of grids is the same thing as a grid. You can lay out some 4×5 matrices within a 2×3 pattern to have something to look at, but the result is significantly less structured than the 4-dimensional space that the array represents. ***** ***** ***** *A*** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** ***** **B** ***** How close are the points A and B? The taxicab distance is 5.