Theory

• Designing A Consistent Hashing Ring With Virtual Nodes For Load Balancing · 2025-04-13

  A comprehensive technical exploration of designing a consistent hashing ring with virtual nodes for load balancing, covering key concepts, practical implementations, and real-world applications.

• The Realities Of Implementing A Distributed Transaction Protocol: Percolator Vs. Spanner · 2025-04-13

  A comprehensive technical exploration of the realities of implementing a distributed transaction protocol: percolator vs. spanner, covering key concepts, practical implementations, and real-world applications.

• The Fast Fourier Transform: From Cooley-Tukey to Modern Signal Processing and Fast Multiplication · 2025-04-12

  Master the FFT from first principles: the Cooley-Tukey algorithm as recursive divide-and-conquer, the underlying group theory, modern variants for arbitrary sizes, and applications from polynomial multiplication to GPU signal processing.

• Building A Simple Oauth 2.0 Authorization Server: Tokens, Scopes, And Refresh Flows · 2025-04-11

  A comprehensive technical exploration of building a simple oauth 2.0 authorization server: tokens, scopes, and refresh flows, covering key concepts, practical implementations, and real-world applications.

• A Practical Guide To Implement The C5.0 Decision Tree Algorithm From Scratch · 2025-04-06

  A comprehensive technical exploration of a practical guide to implement the c5.0 decision tree algorithm from scratch, covering key concepts, practical implementations, and real-world applications.

• Optimizing Matrix Multiplication: From Strassen To Coppersmith Winograd And Beyond · 2025-04-03

  A comprehensive technical exploration of optimizing matrix multiplication: from strassen to coppersmith winograd and beyond, covering key concepts, practical implementations, and real-world applications.

• Implementing A Distributed Key Value Store With Conflict Free Replicated Data Types (crdts) · 2025-04-01

  A comprehensive technical exploration of implementing a distributed key value store with conflict free replicated data types (crdts), covering key concepts, practical implementations, and real-world applications.

• The Internals Of A Modern Garbage Collector: Generational, Concurrent, And Compacting (like C4) · 2025-03-30

  A comprehensive technical exploration of the internals of a modern garbage collector: generational, concurrent, and compacting (like c4), covering key concepts, practical implementations, and real-world applications.

• The PCP Theorem: Why Some Problems Are Hard Even to Approximate · 2025-03-30

  Unpack one of theoretical computer science's crown jewels: the PCP theorem, which shows that for many NP-hard problems, even finding an approximate solution is intractable — and how probabilistically checkable proofs revolutionized our understanding of hardness.

• The Curry-Howard Correspondence: How Type Theory Bridges Proof and Computation · 2025-03-18

  Explore the profound isomorphism between logical proofs and computer programs: how the Curry-Howard correspondence unifies propositional logic with typed lambda calculus, and how it enables modern proof assistants like Coq, Lean, and Agda.

• From Code To Silicon: Designing A Simple Risc V Cpu Pipeline In Verilog · 2025-03-15

  A comprehensive technical exploration of from code to silicon: designing a simple risc v cpu pipeline in verilog, covering key concepts, practical implementations, and real-world applications.

• Building A Hybrid Logical Clock For Causal Consistency In Geo Distributed Systems · 2025-03-14

  A comprehensive technical exploration of building a hybrid logical clock for causal consistency in geo distributed systems, covering key concepts, practical implementations, and real-world applications.

• Cache Oblivious Algorithms: Why And How To Optimize For Unknown Cache Hierarchies · 2025-03-05

  A comprehensive technical exploration of cache oblivious algorithms: why and how to optimize for unknown cache hierarchies, covering key concepts, practical implementations, and real-world applications.

• Shannon's Information Theory from First Principles: Entropy, Channel Capacity, and the Fundamental Limits of Communication · 2025-03-05

  Build Shannon's information theory from the ground up: entropy as a measure of uncertainty, source coding theorem, channel capacity, and the noisy-channel coding theorem that established the theoretical limits of reliable communication.

• Landauer's Principle and the Thermodynamics of Computation: Why Bits Have an Energy Floor · 2025-02-22

  Explore the deep connection between thermodynamics and information: Landauer's principle that erasing a bit costs kT ln 2 in energy, the Maxwell's demon resolution, and the quest for reversible, energy-efficient computing.

• Implementing A Lock Free Queue With Memory Reclamation Using Epoch Based Reclamation · 2025-02-21

  A comprehensive technical exploration of implementing a lock free queue with memory reclamation using epoch based reclamation, covering key concepts, practical implementations, and real-world applications.

• The Paxos Vs. Raft Debate: A Practical Implementation And Performance Comparison · 2025-02-21

  A comprehensive technical exploration of the paxos vs. raft debate: a practical implementation and performance comparison, covering key concepts, practical implementations, and real-world applications.

• Write Ahead Logging Under The Hood: Designing A Durable Wal For An Lsm Tree Storage Engine · 2025-02-04

  A comprehensive technical exploration of write ahead logging under the hood: designing a durable wal for an lsm tree storage engine, covering key concepts, practical implementations, and real-world applications.

• Taming Tail Latency In Microservices: A Deep Dive Into Request Coalescing And Hedged Requests · 2025-01-30

  A comprehensive technical exploration of taming tail latency in microservices: a deep dive into request coalescing and hedged requests, covering key concepts, practical implementations, and real-world applications.

• Linearizability and Serializability: A Formal Hierarchy of Consistency Models · 2025-01-28

  Build a rigorous understanding of consistency models from linearizability to eventual consistency, with formal definitions, counterexamples, and the practical implications for distributed database design.

• Zero Knowledge Proofs In Practice: Implementing Zk Snarks For Privacy Preserving Transactions · 2025-01-21

  A comprehensive technical exploration of zero knowledge proofs in practice: implementing zk snarks for privacy preserving transactions, covering key concepts, practical implementations, and real-world applications.

• The FLP Impossibility Result: Why Distributed Consensus Is Fundamentally Hard · 2025-01-15

  Explore the landmark Fischer-Lynch-Paterson result that proved no deterministic algorithm can achieve consensus in an asynchronous system with even one faulty process — and how the field evolved around this impossibility.

• Building A Jit Compiler For A Subset Of Python Using Llvm · 2025-01-07

  A comprehensive technical exploration of building a jit compiler for a subset of python using llvm, covering key concepts, practical implementations, and real-world applications.

• The Mathematics Of Raft: Formal Verification Of Leader Election In Distributed Consensus · 2025-01-07

  A comprehensive technical exploration of the mathematics of raft: formal verification of leader election in distributed consensus, covering key concepts, practical implementations, and real-world applications.