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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 and click through any links that interest you!

Showing 14 of 14 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.

HOC Retreat 2026

A recap of my 2026 all-HOC retreat.

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?

Survivor bias

Some thoughts on survivor bias.

Transposes

Why are the determinants of a matrix and its transpose equal?

Voting

An introduction to social choice theory and metric voting.

Watchlist

Movie + TV reviews.