9 Matching Annotations
 Aug 2023

www.lesswrong.com www.lesswrong.com

one early reader of this writeup 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.

 Apr 2023

Local file Local file

5

subspaces of a normed spaceX (of any dimension)
I just discovered that the subspaces in vector spaces are very different compare to metric spaces.
 A subspace of a metric space just have to be a metric space.
 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.

2.56 Theorem (Continuous mapping)
Continuous mapping preserves compactness in finite dimensional spaces.

2.55 Theorem (Finite dimension)
Compact Closed unit ball in a normed spaces would mean that we have finite dimension.

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

2.52 Lemma (Compactness)

2.51 Definition (Compactness)

 Jul 2022

gist.github.com gist.github.com

2.5 Push through to completion.
2.5 Push through to completion.
