9 Matching Annotations
1. Aug 2023
2. www.lesswrong.com www.lesswrong.com
1. one early reader of this write-up decided to use half 3x5 cards, so that they’d fit in mtg deck boxes.

First reference I've seen for someone suggesting using half size 3 x 5" index cards so that they could use commercially available Magic: The Gathering (MTG) boxes.

Oxford and possibly other manufacturers already make 1/2 size 3 x 5" index cards.

URL

3. Apr 2023
4. Local file Local file
1. 5
2. subspaces of a normed spaceX (of any dimension)

I just discovered that the subspaces in vector spaces are very different compare to metric spaces.

1. A subspace of a metric space just have to be a metric space.
2. A subspace of a vector space will still have to retain the vector space structure. But if it's viewed as a metric space, this doesn't have to be the case.

Also take note that this is talking about any spaces of dimensions.

3. 2.5-6 Theorem (Continuous mapping)

Continuous mapping preserves compactness in finite dimensional spaces.

4. 2.5-5 Theorem (Finite dimension)

Compact Closed unit ball in a normed spaces would mean that we have finite dimension.

5. 2.5-4 F. Riesz's Lemma

Riesz's Lemma, preparing for a theorem about the norm ball in finite dimensional spaces.

6. 2.5-2 Lemma (Compactness)
7. 2.5-1 Definition (Compactness)

Annotators

5. Jul 2022
6. gist.github.com gist.github.com
1. 2.5 Push through to completion.

2.5 Push through to completion.