Product Thinking (5): Abstraction Thinking — From Math to Systems
How a math background shapes engineering decisions — from group theory to FSMs, from proof structure to API design, and why 700 articles is …
90 min read · 9519 wordsAn editorial blog by Chen Kai
Long-form notes on machines, math, and the cloud.
A long-form notebook on machine learning, mathematics, and the cloud infrastructure that runs them.
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Featured · Product Thinking
Product Thinking (5): Abstraction Thinking — From Math to Systems
How a math background shapes engineering decisions — from group theory to FSMs, from proof structure to API design, and why 700 articles is an abstraction engine.
Read the full piece →All series
Each series is a single argument unfolded chapter by chapter.
Abstract Algebra
12
Abstract Algebra
Groups, rings, fields, and Galois theory — the structural lens on mathematics.
Aliyun Bailian
5
Aliyun Bailian
Bailian model platform: prompt engineering, fine-tuning, agents, and evaluation.
Alibaba Cloud Full Stack
12
Alibaba Cloud Full Stack
The complete guide to building on Alibaba Cloud — compute, networking, storage, databases, AI, security, and infrastructure-as-code.
Aliyun PAI
5
Aliyun PAI
Production-grade ML on Alibaba Cloud — DSW, DLC, EAS, Designer, QuickStart, end-to-end.
Claude Code Hands-On
10
Claude Code Hands-On
Six-piece field guide to Claude Code — config, modes, slash commands, MCP, hooks, SDK + GitHub.
Cloud Computing
8
Cloud Computing
Infrastructure, networking, and the platforms ML actually runs on.
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