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1 Grading
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2 Sum vs Direct Sum
- You can use the fact that when theres two subspaces whose intersection is \({0}\).
- But not when there's more than two subspaces. You have to add two of them into a subspace and then intersect that with the third one.
- #question : does it work if the all pairwise intersections are zero?
3 indefinite integral
#toexpand
3.1 Intuition
Kind of like the integral from \(-\infty\) to a point? It's like the prefix sum, and we query by subtracting.
3.2 It should have a constant?
3.3 We can adjust an even function by a constant to make the \(\int_{-1}^{1} = 0\)
- Like for \(y=x^2\), we can translate down by three (becoming \(y=x^2-3\)) to make \(\int_{-1}^{1} = 0\)