A timeline of ideas想法的时间线.
Revisit each exploration by its first publication date. Later edits keep the original date.按首次分享时间，回看每一次探索。后续更新保留首次发布日期。
20265 NOTES
How do spikes learn to compute?脉冲如何学会计算？
Five interactive experiments connect LIF, UltraLIF, BPTT, STDP and EventProp. From dynamics to learning rules, bring the equations to life.用五个交互实验，串起 LIF、UltraLIF、BPTT、STDP 与 EventProp。从动力学到学习规则，让公式真正动起来。
Rust vs C++: two paths to performanceRust vs C++：高性能的两条路
Memory safety, zero-cost abstractions and engineering trade-offs. Explore systems languages through comparisons and code experiments.内存安全、零成本抽象与工程取舍。通过交互对照与代码实验，理解系统语言的选择。
CUDA Rust: from threads to tilesCUDA Rust：从线程到 Tile，理解两条 Kernel 路线
One vector operation, two programming models: interactive indexing, Rust write ownership, C++ boundary checks, and a GPU measurement plan.用同一个向量计算理解 SIMT 与 Tile：交互索引、Rust 写入权限、C++ 边界验证，以及真实 GPU 基准测试的测量方法。
How much faster? Benchmark with evidence快了多少？从一次测量到可信的基准测试
Warm up, repeat, and verify. Run a small experiment in your browser and examine the conditions behind the numbers.预热、重复测量与结果校验：在你的浏览器里运行一个小实验，理解数字背后的条件。
Waves, phase & superposition波、相位与叠加：让公式动起来
Change the phase and frequency to see two waves reinforce or cancel. Connect trigonometry with physical intuition.拖动相位与频率，观察两列波如何相长或相消，把三角函数与物理直觉联系起来。
20212 NOTES
Band Storage GAXPY带状矩阵的紧凑存储
Move entries between a dense matrix and its band storage, then verify a C++ GAXPY implementation.把稠密矩阵元素搬进带状存储，用交互映射与 C++ 校验理解索引、边界和运算成本。
Symmetric Storage GAXPY对称矩阵的压缩存储
Trace mirrored entries into one packed array and verify both output updates with C++.追踪镜像元素如何共用压缩槽位，用 C++ 校验两路更新，区分存储节省与算术成本。
20193 NOTES
Fast Matrix–Vector Products快速矩阵向量乘法
Explore an eight-point spectrum, unpack the FFT butterfly, and verify C++ FFT results against a direct DFT.从八点频谱看懂蝶形分解，用可运行 C++ 对照直接 DFT，理解 FFT 的速度、误差和适用边界。
Matrix Multiplication矩阵乘法：结构与效率
See memory strides, compare loop orders and blocking, then compile checked C++ kernels and measure real timings.把访存步长画出来，对比循环顺序与分块，再编译带校验的 C++ 内核并测量真实耗时。
Frank–Wolfe AlgorithmFrank–Wolfe 条件梯度法
Walk through a constrained optimization path, derive a stopping certificate, and run checked C++ Frank–Wolfe steps.在三角形可行域中逐步观察优化路径，推导停止证书，并运行带校验的 C++ Frank–Wolfe 实现。