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2026

  1. Low-Latency Systems Development Context Switches, Page Tables and the TLB 15 min read
  2. Common Bottlenecks and Optimizations #21 Measuring Trading-System Performance 13 min read
  3. Low-Latency Systems Development #20 Measuring Latency with the TSC 25 min read
  4. Low-Latency Systems Development #19 Scheduling Policies, Priority Inversion and Kernel Tuning 26 min read
  5. Hands-on Practice #18 Thread-Safe Queues 16 min read
  6. Low-Latency Systems Development #17 Wait-Free 14 min read
  7. Common Bottlenecks and Optimizations perf: How to Use It, What to Read 23 min read
  8. Low-Latency Systems Development #16 Spinlocks 35 min read
  9. Low-Latency Systems Development A Cache Case Study: Repricing 64 Options per Tick 22 min read
  10. Low-Latency Systems Development #15 SIMD Vectorization and Intrinsics 10 min read
  11. Low-Latency Systems Development #14 Prefetching, Cache Warming, and Double Buffering 10 min read
  12. Low-Latency Systems Development #13 Type Punning, Function Calls, and Compiler Hints 14 min read
  13. Low-Latency Systems Development #12 Strength Reduction and Arithmetic Optimization 13 min read
  14. Low-Latency Systems Development #9 Loop Optimization 21 min read
  15. Low-Latency Systems Development #8 CRTP and Static Polymorphism 22 min read
  16. Low-Latency Systems Development #11 Return Value Optimization and Pure Functions 10 min read
  17. Low-Latency Systems Development #10 Pointer and Memory-Access Optimization 14 min read
  18. Low-Latency Systems Development #7 Branch Prediction and Branch Optimization 41 min read
  19. Low-Latency Systems Development Memory Latency and Bandwidth 36 min read
  20. Low-Latency Systems Development #6 Alignment, Layout, and Cache and DRAM Geometry 41 min read
  21. Low-Latency Systems Development #5 An SPMC Broadcast Ring in Shared Memory 22 min read
  22. Low-Latency Systems Development MESI Cache Coherence 14 min read
  23. Low-Latency Systems Development #4 Lock-Free Queues and Micro-Batching 24 min read
  24. Low-Latency Systems Development #3 Memory Pools and Allocators 16 min read
  25. Low-Latency Systems Development #2 Memory Ordering and Cache Lines 25 min read
  26. Low-Latency Systems Development #1 CPU Isolation and NUMA 17 min read
  27. AI Native AGENTS.md Practice Guide — Map, Commands, and Verification Loops for AI Coding Agents 4 min read
  28. Number Theory #4 Primality, Factorisation & Residues (Miller-Rabin, Pollard Rho, Tonelli-Shanks) 12 min read
  29. Number Theory #4 Min_25 Sieve and Du Jiao Sieve 13 min read
  30. Number Theory #3.1 Sieve Problems — Coin System DP via Sieve 6 min read
  31. Number Theory #3 From Eratosthenes to Möbius Inclusion-Exclusion 5 min read
  32. Number Theory #2 Multiplicative Functions, Möbius Inversion & Dirichlet Convolution 15 min read
  33. Number Theory #2-ex Möbius Techniques 6 min read
  34. Number Theory #2-ex Möbius Practice — LCM Sums, Divisor-Count, Omega Numbers 9 min read
  35. Number Theory #1.1 Divisibility Blocking (Floor-Division Decomposition) 3 min read
  36. Number Theory #1 Elementary Number Theory — GCD, LCM, Euler, CRT 9 min read
  37. Number Theory #0 Common Formulae — Legendre's Formula & Divisor Convolutions 2 min read
  38. Matrix #4 Matrix Problems — Fibonacci Subarray Sums, Gaussian Elimination & Expected Value 6 min read
  39. Matrix #3 Linear Basis (XOR Basis) & Simplex Method 8 min read
  40. Matrix #2 Gaussian Elimination — Real, Mod, Mod-2, Incremental 15 min read
  41. Matrix #1 Matrix Fast Power — Linear Recurrence, DP Semirings & Kitamasa 17 min read
  42. Combinatorics Order Theory — Chromatic Polynomials, Chordal Graphs, Order Polynomials, Dilworth & Hall 7 min read
  43. Combinatorics #3.2 More Operations on Formal Power Series 15 min read
  44. Combinatorics #3.1 Ordinary Generating Functions 8 min read
  45. Combinatorics #2.2 Primitive Roots, Discrete Logarithm, NTT, Divide-and-Conquer NTT 12 min read
  46. Combinatorics #2.1 FFT and Lagrange Interpolation 10 min read
  47. Combinatorics #2-ex2 Cyclic Convolution 5 min read
  48. Combinatorics #2-ex1 Difference (Correlation) Convolution 2 min read
  49. Combinatorics D1 Diophantine Equations 13 min read
  50. Combinatorics #1.1 Permutations and Combinations 9 min read
  51. Combinatorics #1.2 容斥原理、不定方程、错排 1 min read
  52. Combinatorics #1.2 Inclusion-Exclusion, Bounded Diophantine Equations, and Derangements 2 min read
  53. Combinatorics #0.1 计数中常用的结论 9 min read
  54. Combinatorics #0 Common Formulae & Conclusions 4 min read