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Data Structures & AlgorithmsComplexity analysis up to graphs and DP.Operating SystemsProcesses, scheduling, memory and concurrency.Database Management SystemsRelational modelling, transactions and indexing.Computer NetworksFrom wires and radio waves up to the web.

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AI Inference EngineeringQuantization, batching and KV caching in production.System DesignScalable systems from first principles.Context EngineeringDesigning the context that LLMs actually reason over.Docker & KubernetesContainers and orchestration, explained.

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Context Engineering

Tokenization & Embeddings3

Attention & the Context Window4

Self-attention, explained without the jargon
The full math of attention, worked by hand
Why context windows cost quadratically (and what the KV cache does about it)
How a model knows word order at all

Prompt & Context Construction4

Retrieval-Augmented Context5

Memory & Long Context4

Advanced Context Engineering7

Evaluation & Scoring6

Context Designing7

Lessons

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Context Engineering

Tokenization & Embeddings3

Attention & the Context Window4

Self-attention, explained without the jargon
The full math of attention, worked by hand
Why context windows cost quadratically (and what the KV cache does about it)
How a model knows word order at all

Prompt & Context Construction4

Retrieval-Augmented Context5

Memory & Long Context4

Advanced Context Engineering7

Evaluation & Scoring6

Context Designing7

Learn Context Engineering Attention & the Context Window

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The full math of attention, worked by hand

Scaled dot-product attention end to end — every formula, why the scaling factor exists, and a complete numerical example you can trace by hand.

10 min readUpdated 2026-09-03context-engineeringattentionmath