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Aug 26, 20261 min read

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I’m Daniel, and this is my digital garden. If you’re looking for something specific the search bar is your best friend, but if not, feel free to start from any of the posts listed below (also in the sidebar) and click through any links that interest you! You can also hit ⌘G to see the graph structure underlying this blog and browse around the nodes there.

Personal

Showing 4 of 4 entries
HOC Retreat 2026
A recap of my 2026 all-HOC retreat.
Interning at Probook
My experience as the first-ever intern at Probook.
Survivor bias
Some thoughts on survivor bias.
Watchlist
Movie + TV reviews.

Concepts

Showing 12 of 12 entries
Akari
A fun puzzle genre + some of my solutions and strategies.
Bernoulli/Poisson processes
Some intuition behind the formulas.
Convexity
How to go about proving certain functions are convex.
The exponential
A combinatorial look at the exponential Taylor series.
Hall's marriage theorem
Two proofs of Hall's marriage theorem, and problems.
Orders
Common strategies to rearrange elements into an "optimal order."
P vs NP
An introduction to P vs NP, NP-hard, and NP-complete + some illustrative proofs.
Segment tree
A bit on iterative segment trees.
The Sprague-Grundy theorem
How can we define a group on the set of impartial games?
Tight-slack induction
A constructive induction technique for proving sufficiency of certain inequality conditions.
Transposes
Why are the determinants of a matrix and its transpose equal?
Voting
An introduction to social choice theory and metric voting.


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