Prove
Write definitions, derivations, and proofs until each step can withstand a question.
Choose a route
Four doors into the same journey.
Technical progress, shared discussion, personal writing, and the person behind the work each have their own place.
01Open the log02Join the conversation03Read reflections04Meet Hao
Learning log
Mathematics, code, papers, and experiments. This is the technical record.
Community
Share a piece of work, discuss learning methods, and exchange notes on everyday life.
Reflections
Travel notes, personal observations, and ideas that grew out of ordinary days.
About Hao
The background, questions, and long-term direction behind WH Learning.
Current route
From foundations to research, with the unfinished work left visible.
WH Learning is a public notebook for the distance between wanting to do AI research and becoming capable of doing it carefully.
How the work moves
Build
Implement ideas from first principles, test them, and keep the results reproducible.
Read
Reconstruct papers around the problem, method, evidence, and limits.
Reflect
Keep failures and changes of mind in the record instead of editing them out.
The long route
Built over years, one clear stage at a time.
01
2026 / 01
Foundations
Calculus, linear algebra, Python, and mathematical writing.
02
02
Core systems
Probability, optimization, data structures, and machine learning fundamentals.
03
03
Research practice
Paper reproduction, open source work, and research collaboration.
04
04
Original direction
Independent questions, a thesis, and graduate study preparation.
Latest dispatches
Notes from the moving train.
Working records from mathematics, code, papers, experiments, and the questions that remain.
October 17, 2026
Analysis Homework: Sequence Properties and the Stolz Theorem
Separating convergence, boundedness and growth in absolute value, then unpacking telescoping sums and the vanishing initial contribution in the Stolz theorem.
October 6, 2026
Sequence-Limit Practice: Bounds, Squeezing, and Counterexamples
Notes from my recent practice with sequence limits: controlling oscillating factors, rewriting radicals, and using counterexamples to distinguish convergence from divergence.
From the reflection journal
September 9, 2026
Sui Yi Du Chun Qiu
Some things are meant to be lived; some are meant to be dreamed. Live the days seriously, but do not stop imagining.
Read reflectionNext stop
Follow the work, not just the destination.
Start with day zero or learn why this public record exists.