2025
129 posts from 2025
The Mathematics Of The Fast Fourier Transform: Cooley–tukey Implementation With Twiddle Factors
2025-12-29A comprehensive technical exploration of the mathematics of the fast fourier transform: cooley–tukey implementation with twiddle factors, covering key concepts, practical implementations, and real-world applications.
Designing A Probabilistic Data Structure For Cardinality Estimation: Hyperloglog With Bias Correction
2025-12-26A comprehensive technical exploration of designing a probabilistic data structure for cardinality estimation: hyperloglog with bias correction, covering key concepts, practical implementations, and real-world applications.
Database Internals: Storage Engines, Transactions, and Recovery
2025-12-21A deep technical walkthrough of how databases store data, ensure correctness, and recover from crashes — covering B-trees, LSM-trees, write-ahead logging, MVCC, isolation levels, and replication.
Implementing The A* Pathfinding Algorithm With Heuristics: Octile Distance And Hierarchical Annotated Maps
2025-12-14A comprehensive technical exploration of implementing the a* pathfinding algorithm with heuristics: octile distance and hierarchical annotated maps, covering key concepts, practical implementations, and real-world applications.
Building A Distributed Transaction Log With Multi Version Concurrency Control (mvcc)
2025-12-13A comprehensive technical exploration of building a distributed transaction log with multi version concurrency control (mvcc), covering key concepts, practical implementations, and real-world applications.
A Deep Dive Into The Burrows Wheeler Transform: Compression, Indexing, And Fm Index
2025-12-12A comprehensive technical exploration of a deep dive into the burrows wheeler transform: compression, indexing, and fm index, covering key concepts, practical implementations, and real-world applications.
Designing A Protocol For Reliable Multicast: Scalable Reliable Multicast (srm) Implementation
2025-12-09A comprehensive technical exploration of designing a protocol for reliable multicast: scalable reliable multicast (srm) implementation, covering key concepts, practical implementations, and real-world applications.
Implementing A Custom Unikernel: Boot, Network Driver, And A Minimal Http Server
2025-12-09A comprehensive technical exploration of implementing a custom unikernel: boot, network driver, and a minimal http server, covering key concepts, practical implementations, and real-world applications.
Distributed Hash Tables: Chord, Pastry, Kademlia, and the Structured Overlay Revolution
2025-12-08How consistent hashing, finger tables, prefix-based routing, and the XOR metric turned P2P networks from unscalable floods into efficient, provably correct structured overlays.
Epidemic Protocols: Gossip, HyParView, Plumtree, and the Mathematics of Infection-Style Dissemination
2025-12-08How push, push-pull, and pull gossip propagate information with tunable reliability guarantees — plus HyParView for membership and Plumtree for efficient broadcast in large-scale dynamic networks.
Writing A Simple Multiprocessor Scheduler: Lottery Scheduling And Stride Scheduling
2025-12-07A comprehensive technical exploration of writing a simple multiprocessor scheduler: lottery scheduling and stride scheduling, covering key concepts, practical implementations, and real-world applications.
CPU Microarchitecture: Pipelines, Out-of-Order Execution, and Modern Performance
2025-12-04An in-depth exploration of CPU microarchitecture: instruction pipelines, hazards, branch prediction, out-of-order execution, register renaming, superscalar and SIMD units, and how software maps to hardware for performance.
The Internals Of A High Frequency Trading System: Order Book With Fast Matching Engine
2025-12-01A comprehensive technical exploration of the internals of a high frequency trading system: order book with fast matching engine, covering key concepts, practical implementations, and real-world applications.
Implementing The Rsa Cryptosystem: Key Generation, Encryption, And Signature With Chinese Remainder Theorem
2025-11-30A comprehensive technical exploration of implementing the rsa cryptosystem: key generation, encryption, and signature with chinese remainder theorem, covering key concepts, practical implementations, and real-world applications.
Building A Simple Virtual Machine: Bytecode Compilation And Execution (like A Minimal Jvm)
2025-11-22A comprehensive technical exploration of building a simple virtual machine: bytecode compilation and execution (like a minimal jvm), covering key concepts, practical implementations, and real-world applications.
Designing A Distributed Counter With Strong Consistency Using Paxos (single Slot)
2025-11-18A comprehensive technical exploration of designing a distributed counter with strong consistency using paxos (single slot), covering key concepts, practical implementations, and real-world applications.
TLS, PKI, and Secure Protocols: How Encrypted Web Traffic Works
2025-11-18A deep technical guide to TLS, certificate validation, key exchange, record protection, modern cipher suites, TLS 1.3, QUIC, and practical deployment best practices for secure networked applications.
The Theory And Implementation Of An X.509 Certificate Authority: Asn.1, Signatures, And Ocsp
2025-11-17A comprehensive technical exploration of the theory and implementation of an x.509 certificate authority: asn.1, signatures, and ocsp, covering key concepts, practical implementations, and real-world applications.
Implementing A Parallel Sort: Bitonic Sort On Gpu With Cuda
2025-11-14A comprehensive technical exploration of implementing a parallel sort: bitonic sort on gpu with cuda, covering key concepts, practical implementations, and real-world applications.
Building A Simple Graph Neural Network: Message Passing And Aggregation From Scratch
2025-11-12A comprehensive technical exploration of building a simple graph neural network: message passing and aggregation from scratch, covering key concepts, practical implementations, and real-world applications.
A Practical Guide To Virtual Memory: Implementing Page Tables And Tlb Simulation In Software
2025-11-07A comprehensive technical exploration of a practical guide to virtual memory: implementing page tables and tlb simulation in software, covering key concepts, practical implementations, and real-world applications.
Designing A Self Adjusting Binary Search Tree (splay Tree) With Amortized Analysis
2025-11-06A comprehensive technical exploration of designing a self adjusting binary search tree (splay tree) with amortized analysis, covering key concepts, practical implementations, and real-world applications.
Implementing The Chord Distributed Hash Table Protocol: Ring Routing And Stabilization
2025-11-03A comprehensive technical exploration of implementing the chord distributed hash table protocol: ring routing and stabilization, covering key concepts, practical implementations, and real-world applications.
Distributed Snapshots: The Chandy-Lamport Algorithm, Lai-Yang, and the Foundations of Consistent Global State
2025-10-31How do you capture a consistent snapshot of a running distributed system without stopping the world? The Chandy-Lamport algorithm, its non-FIFO extension by Lai and Yang, and the deep connection to checkpointing and deadlock detection.
Building A Concurrent Garbage Collector For A Language With Interior Pointers (like Java’s G1)
2025-10-29A comprehensive technical exploration of building a concurrent garbage collector for a language with interior pointers (like java’s g1), covering key concepts, practical implementations, and real-world applications.
Inside Vector Databases: Building Retrieval-Augmented Systems that Scale
2025-10-26How modern vector databases ingest, index, and serve embeddings for production retrieval-augmented generation systems without falling over.
The Art Of Writing A Correct And Fast Crc32 Implementation: Slicing By 8 And Pclmulqdq
2025-10-22A comprehensive technical exploration of the art of writing a correct and fast crc32 implementation: slicing by 8 and pclmulqdq, covering key concepts, practical implementations, and real-world applications.
Distributed Systems: Consensus, Consistency, and Fault Tolerance
2025-10-20Fundamentals of distributed systems: failure models, consensus algorithms (Paxos, Raft), CAP theorem, consistency models, gossip, membership, CRDTs, and practical testing strategies like Jepsen.
Implementing A Binary Indexed Tree (fenwick Tree) With Range Updates And Range Queries
2025-10-14A comprehensive technical exploration of implementing a binary indexed tree (fenwick tree) with range updates and range queries, covering key concepts, practical implementations, and real-world applications.
Clock Synchronization: Lamport Clocks, Vector Clocks, Hybrid Logical Clocks, and the CRDT Connection
2025-10-08From scalar Lamport clocks that capture causality to vector clocks that characterize it precisely, through hybrid logical clocks that bridge physical and logical time — the intellectual lineage of distributed timekeeping.
Designing A Custom Network Protocol: Framing, Checksums, And Reliable Delivery Over Udp
2025-10-06A comprehensive technical exploration of designing a custom network protocol: framing, checksums, and reliable delivery over udp, covering key concepts, practical implementations, and real-world applications.
Learned Indexes: When Models Replace B‑Trees
2025-10-04A practitioner's guide to learned indexes: how they work, when they beat classic data structures, and what it takes to ship them without getting paged.
The 100‑Microsecond Rule: Why Tail Latency Eats Your Throughput (and How to Fight Back)
2025-10-04A field guide to taming P99 in modern systems—from queueing math to NIC interrupts, from hedged requests to adaptive concurrency. Practical patterns, pitfalls, and a blueprint you can apply this week.
A Detailed Look At The Simplex Algorithm For Linear Programming: Implementation And Numerical Stability
2025-10-02A comprehensive technical exploration of a detailed look at the simplex algorithm for linear programming: implementation and numerical stability, covering key concepts, practical implementations, and real-world applications.
Time in Distributed Systems: NTP, PTP, TrueTime, and the Impossibility of Perfect Synchronization
2025-10-01From Marzullo's algorithm in NTP to hardware timestamping in PTP and Google's TrueTime in Spanner — how distributed systems wrestle with the fundamental impossibility of perfectly synchronized clocks.
Implementing A Distributed Grep: Mapreduce And Hadoop From Scratch
2025-09-27A comprehensive technical exploration of implementing a distributed grep: mapreduce and hadoop from scratch, covering key concepts, practical implementations, and real-world applications.
The Quiet Calculus of Probabilistic Commutativity
2025-09-27A practical calculus for quantifying when non-commutative operations in distributed systems can be safely executed without heavyweight coordination.
The Hidden Backbone of Parallelism: How Prefix Sums Power Distributed Computation
2025-09-21Discover how the humble prefix sum (scan) quietly powers GPUs, distributed clusters, and big data frameworks—an obscure but essential building block of parallel and distributed computation.
Building A Simple Ray Tracer: Bvh Acceleration, Anti Aliasing, And Path Tracing
2025-09-20A comprehensive technical exploration of building a simple ray tracer: bvh acceleration, anti aliasing, and path tracing, covering key concepts, practical implementations, and real-world applications.
GPUDirect Storage in 2025: Optimizing the End-to-End Data Path
2025-09-16How modern systems move data from NVMe and object storage into GPU kernels with minimal CPU overhead and maximal throughput.
The Architecture Of A Log Structured Merge Tree (lsm) With Memory Bucketed Compaction
2025-09-07A comprehensive technical exploration of the architecture of a log structured merge tree (lsm) with memory bucketed compaction, covering key concepts, practical implementations, and real-world applications.
The Johnson-Lindenstrauss Lemma and the Geometry of High-Dimensional Data
2025-09-05Explore the surprising geometry of high-dimensional spaces: the Johnson-Lindenstrauss lemma showing that random projections preserve pairwise distances, the concentration phenomena that make it work, and its profound applications in nearest-neighbor search, compressed sensing, and machine learning.
Implementing The Dijkstra–scholten Algorithm For Termination Detection In Distributed Systems
2025-08-30A comprehensive technical exploration of implementing the dijkstra–scholten algorithm for termination detection in distributed systems, covering key concepts, practical implementations, and real-world applications.
Designing A Sharded Counter With Crdts For Eventually Consistent Analytics
2025-08-26A comprehensive technical exploration of designing a sharded counter with crdts for eventually consistent analytics, covering key concepts, practical implementations, and real-world applications.
Lattice-Based Cryptography: Learning With Errors and the Road to Fully Homomorphic Encryption
2025-08-24Enter the post-quantum world of lattice-based cryptography: the Learning With Errors (LWE) problem, its reduction from worst-case lattice problems, the construction of basic encryption from LWE, and the stunning breakthrough of fully homomorphic encryption that computes on encrypted data.
A Practical Introduction To Homomorphic Encryption: Bfv Scheme Implementation
2025-08-23A comprehensive technical exploration of a practical introduction to homomorphic encryption: bfv scheme implementation, covering key concepts, practical implementations, and real-world applications.
Storage-Class Memory: Intel Optane, 3D XPoint, and the Lessons of a Bold Failure
2025-08-15The technology, the programming model, and the performance characteristics of Intel Optane — and why the most promising memory technology in a generation failed commercially despite delivering exactly what it promised.
Building A Parallel Algorithm For Graph Coloring Using Openmp And Mpi
2025-08-12A comprehensive technical exploration of building a parallel algorithm for graph coloring using openmp and mpi, covering key concepts, practical implementations, and real-world applications.
Differential Privacy: Formal Guarantees, Composition Theorems, and the Engineering of Private Systems
2025-08-12Build differential privacy from first principles: the formal (ε, δ)-definition, the Laplace and Gaussian mechanisms, composition theorems (basic and advanced), the sparse vector technique, and how to engineer practical private data systems at scale.
Implementing A Distributed Lock Service Using Zookeeper (with Zab Protocol Analysis)
2025-08-10A comprehensive technical exploration of implementing a distributed lock service using zookeeper (with zab protocol analysis), covering key concepts, practical implementations, and real-world applications.
Memory Technologies: DRAM, HBM, GDDR, and the Scaling Wall
2025-08-10Inside the memory hierarchy that feeds the compute engines — DRAM cell physics, HBM stack architecture, GDDR for graphics, the row hammer crisis, and emerging alternatives like FeRAM and MRAM.
Kolmogorov Complexity and Algorithmic Information Theory: The Deepest Measure of Information
2025-07-30Dive into algorithmic information theory: Kolmogorov complexity as the ultimate measure of information content, its relationship to randomness (Martin-Löf tests), the incompressibility method for proving lower bounds, and the philosophical implications for science and mathematics.
The Design And Implementation Of A Database Index Using Fractal Trees (cache Oblivious B Trees)
2025-07-29A comprehensive technical exploration of the design and implementation of a database index using fractal trees (cache oblivious b trees), covering key concepts, practical implementations, and real-world applications.
Implementing A Simple Type System For A Programming Language: Hindley Milner Type Inference
2025-07-25A comprehensive technical exploration of implementing a simple type system for a programming language: hindley milner type inference, covering key concepts, practical implementations, and real-world applications.
A Deep Dive Into The Cuckoo Filter: Design, Implementation, And Performance Tuning
2025-07-21A comprehensive technical exploration of a deep dive into the cuckoo filter: design, implementation, and performance tuning, covering key concepts, practical implementations, and real-world applications.
Queueing Theory for Systems Engineers: From M/M/1 to Heavy-Tail Distributions and Tail-at-Scale
2025-07-18Master queueing theory as a practical tool for systems design: the M/M/1 model, Little's Law, Jackson networks, the dramatic impact of heavy-tailed service times on tail latency, and how to apply these insights to load balancers, microservices, and capacity planning.
Building A Distributed File System With Erasure Coding (reed Solomon Implementation)
2025-07-16A comprehensive technical exploration of building a distributed file system with erasure coding (reed solomon implementation), covering key concepts, practical implementations, and real-world applications.
The Science Of Clock Synchronization: Ntp, Ptp, And Hybrid Logical Clocks In Distributed Systems
2025-07-09A comprehensive technical exploration of the science of clock synchronization: ntp, ptp, and hybrid logical clocks in distributed systems, covering key concepts, practical implementations, and real-world applications.
Implementing A Convolutional Neural Network In Cuda: Kernels, Tiling, And Shared Memory
2025-07-07A comprehensive technical exploration of implementing a convolutional neural network in cuda: kernels, tiling, and shared memory, covering key concepts, practical implementations, and real-world applications.
Algebraic Topology in Distributed Computing: Wait-Free Solvability and Simplicial Complexes
2025-07-06Discover how algebraic topology — simplicial complexes, Sperner's lemma, and homology — provides the deepest known framework for understanding what concurrent and distributed tasks are fundamentally solvable, as developed in Herlihy and Shavit's 'The Art of Multiprocessor Programming'.
MPI vs. OpenMP in 2025: Where Each Wins
2025-07-04A practical guide to choosing between message passing and shared-memory parallelism for modern HPC and hybrid nodes.
Writing A Tiny Elf Loader: Executable Linking And Relocation In Linux
2025-07-01A comprehensive technical exploration of writing a tiny elf loader: executable linking and relocation in linux, covering key concepts, practical implementations, and real-world applications.
Design And Implementation Of A Distributed Rate Limiter (token Bucket With Consistent Hashing)
2025-06-26A comprehensive technical exploration of design and implementation of a distributed rate limiter (token bucket with consistent hashing), covering key concepts, practical implementations, and real-world applications.
Memory Consistency Models: From Sequential Consistency to the C++11 Memory Model
2025-06-24A rigorous treatment of memory consistency models: Lamport's sequential consistency, the transition to relaxed models, the formal semantics of the C++11 memory model with its acquire-release and relaxed atomics, and how to reason about concurrent code that doesn't tear.
ASIC Design Flow: From RTL to GDSII — Synthesis, STA, and the Tapeout Checklist
2025-06-22A walk through the entire ASIC design flow — logic synthesis with Design Compiler, static timing analysis with PrimeTime, place-and-route with Innovus/ICC2, clock tree synthesis, and the signoff checklist that separates working silicon from a very expensive coaster.
A Practical Guide To Implementing The Actor Model In Rust: Tokio And Custom Schedulers
2025-06-20A comprehensive technical exploration of a practical guide to implementing the actor model in rust: tokio and custom schedulers, covering key concepts, practical implementations, and real-world applications.
Implementing A Self Balancing Binary Search Tree: Red Black Tree Vs. Avl Tree Internals
2025-06-15A comprehensive technical exploration of implementing a self balancing binary search tree: red black tree vs. avl tree internals, covering key concepts, practical implementations, and real-world applications.
Building A Simple Blockchain From Scratch: Proof Of Work, Merkle Trees, And Utxo Model
2025-06-13A comprehensive technical exploration of building a simple blockchain from scratch: proof of work, merkle trees, and utxo model, covering key concepts, practical implementations, and real-world applications.
Spectral Graph Theory: How Eigenvalues Reveal the Hidden Structure of Graphs
2025-06-12Explore how the eigenvalues and eigenvectors of graph matrices — adjacency, Laplacian, normalized Laplacian — encode fundamental graph properties: connectivity, expansion, mixing time, clustering structure, and more.
The Mathematics Of Backpressure: Flow Control In Distributed Stream Processing
2025-06-12A comprehensive technical exploration of the mathematics of backpressure: flow control in distributed stream processing, covering key concepts, practical implementations, and real-world applications.
Designing A Compact Trie For Autocomplete With Efficient Prefix Search
2025-06-09A comprehensive technical exploration of designing a compact trie for autocomplete with efficient prefix search, covering key concepts, practical implementations, and real-world applications.
Implementing A Snapshot Isolation Protocol For A Distributed Database (with Silo Like Optimizations)
2025-06-07A comprehensive technical exploration of implementing a snapshot isolation protocol for a distributed database (with silo like optimizations), covering key concepts, practical implementations, and real-world applications.
Understanding The Google File System: A Detailed Implementation In Go
2025-05-31A comprehensive technical exploration of understanding the google file system: a detailed implementation in go, covering key concepts, practical implementations, and real-world applications.
The Probabilistic Method and Randomized Algorithms: From Tail Bounds to Derandomization
2025-05-30Master the probabilistic method — Paul Erdős's beautiful technique for proving existence non-constructively — alongside the tail bounds (Chernoff, Hoeffding, Azuma) that make randomized algorithms practical, and the modern methods for removing randomness.
Building A Custom Allocator For Real Time Systems: Slab, Buddy, And Region Based Approaches
2025-05-29A comprehensive technical exploration of building a custom allocator for real time systems: slab, buddy, and region based approaches, covering key concepts, practical implementations, and real-world applications.
Implementing A Scalable Web Crawler With Distributed Frontier And Politeness Policies
2025-05-28A comprehensive technical exploration of implementing a scalable web crawler with distributed frontier and politeness policies, covering key concepts, practical implementations, and real-world applications.
The Inner Workings Of A Database Query Optimizer: Cost Models, Statistics, And Join Ordering
2025-05-28A comprehensive technical exploration of the inner workings of a database query optimizer: cost models, statistics, and join ordering, covering key concepts, practical implementations, and real-world applications.
From Sockets To Epoll: Building A Non Blocking Http Server In C
2025-05-27A comprehensive technical exploration of from sockets to epoll: building a non blocking http server in c, covering key concepts, practical implementations, and real-world applications.
Designing A Distributed Queue With Exactly Once Delivery Using Idempotency Keys
2025-05-22A comprehensive technical exploration of designing a distributed queue with exactly once delivery using idempotency keys, covering key concepts, practical implementations, and real-world applications.
A Deep Dive Into The Xgboost Algorithm: Gradient Boosting, Regularization, And System Optimization
2025-05-21A comprehensive technical exploration of a deep dive into the xgboost algorithm: gradient boosting, regularization, and system optimization, covering key concepts, practical implementations, and real-world applications.
Implementing A Secure Multi Party Computation Protocol (garbled Circuits) From Scratch
2025-05-21A comprehensive technical exploration of implementing a secure multi party computation protocol (garbled circuits) from scratch, covering key concepts, practical implementations, and real-world applications.
From MapReduce to Spark: The Arc of Data-Parallel Systems
2025-05-19MapReduce taught fault-tolerant batch at scale; Spark generalized it with resilient distributed datasets (RDDs) and DAG scheduling.
Error-Correcting Codes: Reed-Solomon, LDPC, and How Distributed Storage Survives Failure
2025-05-18Build error-correcting codes from the ground up: finite field arithmetic, Reed-Solomon encoding and decoding via Lagrange interpolation, LDPC codes and belief propagation, and how modern distributed storage systems use erasure coding to survive disk failures with minimal overhead.
FPGA Programming: HLS, Verilog, and the Spatial Computing Paradigm
2025-05-12How reconfigurable hardware rewires the boundary between software and silicon — from Verilog's explicit dataflow to high-level synthesis with C++, and why FPGAs are eating the inference and networking world.
The Theory And Implementation Of The Boyer Moore String Search Algorithm (with Galil’s Rule)
2025-05-11A comprehensive technical exploration of the theory and implementation of the boyer moore string search algorithm (with galil’s rule), covering key concepts, practical implementations, and real-world applications.
Building A Simple Vector Database With Ivf And Hnsw Indexing For Ann Search
2025-05-07A comprehensive technical exploration of building a simple vector database with ivf and hnsw indexing for ann search, covering key concepts, practical implementations, and real-world applications.
The Lambda Calculus and Combinatory Logic: The Minimalist Foundations of All Computation
2025-05-06Rediscover the lambda calculus as the essence of computation: Church's elegant system of function definition and application, its equivalence to Turing machines, the fixed-point combinator, and its enduring influence on programming languages from Lisp to Haskell.
Using Linearizability Checking Tools: How To Prove Your Concurrent Data Structure Is Correct
2025-05-03A comprehensive technical exploration of using linearizability checking tools: how to prove your concurrent data structure is correct, covering key concepts, practical implementations, and real-world applications.
Zero-Knowledge Proofs: From Interactive Protocols to zk-SNARKs and Practical Verifiable Computation
2025-04-24Build zero-knowledge proofs from the ground up: the simulation paradigm, Schnorr's protocol for discrete log, the transformation to non-interactive via Fiat-Shamir, and the engineering of modern zk-SNARKs for verifiable computation.
The Architecture Of A High Performance Message Broker: Design Patterns From Apache Kafka
2025-04-23A comprehensive technical exploration of the architecture of a high performance message broker: design patterns from apache kafka, covering key concepts, practical implementations, and real-world applications.
Applying Bloom Filters In Practice: From Cache Filtering To Bigtable
2025-04-20A comprehensive technical exploration of applying bloom filters in practice: from cache filtering to bigtable, covering key concepts, practical implementations, and real-world applications.
Implementing A B Tree From Scratch: Storage, Concurrency, And Recovery
2025-04-20A comprehensive technical exploration of implementing a b tree from scratch: storage, concurrency, and recovery, covering key concepts, practical implementations, and real-world applications.
Quantum Computing Architectures: Superconducting Qubits, Trapped Ions, and the NISQ Era
2025-04-17From transmon Hamiltonians to Majorana zero modes — a deep architectural dive into the physical platforms competing to build the first fault-tolerant quantum computer, and why the error correction overhead dominates everything.
Writing A Custom Tcp Stack In Userspace: Performance And Pitfalls
2025-04-14A comprehensive technical exploration of writing a custom tcp stack in userspace: performance and pitfalls, covering key concepts, practical implementations, and real-world applications.
Designing A Consistent Hashing Ring With Virtual Nodes For Load Balancing
2025-04-13A 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
2025-04-13A 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
2025-04-12Master 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
2025-04-11A 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
2025-04-06A 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.
Auditing the Algorithm: Building a Responsible AI Pipeline That Scales
2025-04-05How we operationalized responsible AI with automated audits, governance rituals, and transparent reporting.
Optimizing Matrix Multiplication: From Strassen To Coppersmith Winograd And Beyond
2025-04-03A 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)
2025-04-01A 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)
2025-03-30A 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
2025-03-30Unpack 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
2025-03-18Explore 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
2025-03-15A 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
2025-03-14A 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.
CHERI and Capability Hardware: Memory Safety at the Gate Level
2025-03-11How CHERI Concentrate compression, the load barrier for temporal safety, and the Arm Morello prototype are reshaping what it means to build a secure processor — and why formal verification of capability integrity is the hard part.
Cache Oblivious Algorithms: Why And How To Optimize For Unknown Cache Hierarchies
2025-03-05A 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
2025-03-05Build 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
2025-02-22Explore 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
2025-02-21A 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
2025-02-21A comprehensive technical exploration of the paxos vs. raft debate: a practical implementation and performance comparison, covering key concepts, practical implementations, and real-world applications.
Memory Allocation and Garbage Collection: How Programs Manage Memory
2025-02-20A deep dive into how programming languages allocate, track, and reclaim memory. Understand malloc internals, garbage collection algorithms, and the trade-offs that shape runtime performance.
Scheduling: Trading Latency for Throughput (and Back Again)
2025-02-12Queue disciplines, work stealing, and CPU affinity: how scheduler choices shape p50/p99, and when to bias for one over the other.
RISC-V: The Open ISA Revolution and the Cambrian Explosion of Processor Design
2025-02-11How a Berkeley research project became the Linux of instruction sets, rewiring the economics of custom silicon from embedded MCUs to vector supercomputers with the RVV extension and the CHERI security story.
Kernel Bypass Networking: DPDK, io_uring, and the RDMA Revolution
2025-02-10Dive into how modern systems escape the kernel networking stack for microsecond-scale performance: DPDK's poll-mode drivers, io_uring's submission rings, RDMA's one-sided operations, and the trade-offs each approach demands.
Processing-in-Memory: UPMEM, Samsung HBM-PIM, and the Near-Data Computing Paradigm
2025-02-10How moving compute to where the bits live rewrites the rules of memory-bound computation, from UPMEM's DRAM-scale PIM to Samsung's HBM-PIM and the programming model that still keeps us up at night.
Write Ahead Logging Under The Hood: Designing A Durable Wal For An Lsm Tree Storage Engine
2025-02-04A 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
2025-01-30A 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
2025-01-28Build a rigorous understanding of consistency models from linearizability to eventual consistency, with formal definitions, counterexamples, and the practical implications for distributed database design.
Exactly-Once in Streaming: What It Means and How Systems Achieve It
2025-01-22Disentangle marketing from mechanisms: idempotence, transactions, and state snapshots behind ‘exactly-once’.
Zero Knowledge Proofs In Practice: Implementing Zk Snarks For Privacy Preserving Transactions
2025-01-21A 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
2025-01-15Explore 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
2025-01-07A 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
2025-01-07A 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.
Neuromorphic Computing: Loihi 2, TrueNorth, Spiking Networks, and Where Neuromorphic Wins
2025-01-05A deep survey of neuromorphic computing from IBM TrueNorth and Intel Loihi 2 through spiking neural networks, STDP learning, event-driven computation, and the application domains where neuromorphic excels and where it falls short.
Implementing A Custom Bittorrent Client From Scratch: Protocol Analysis And Optimization
2025-01-04A comprehensive technical exploration of implementing a custom bittorrent client from scratch: protocol analysis and optimization, covering key concepts, practical implementations, and real-world applications.
Designing A Wait Free Concurrent Hash Table With Hazard Pointers
2025-01-01A comprehensive technical exploration of designing a wait free concurrent hash table with hazard pointers, covering key concepts, practical implementations, and real-world applications.