Claude Architect Foundations
How to design, configure, and troubleshoot Claude-based agentic systems by reasoning about the agentic loop, MCP tool design, Claude Code workflows, structured prompting, and context management.
28 min 14 scenes
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Technology & Computing
AI, programming, data, computing, and the internet.
Blur Detective: Focus vs. Shake
Out-of-focus blur softens every edge uniformly into disc-like smears that ignore motion, while camera-shake blur smears every point in a single direction; inspecting edge shape and smear direction separates the two.
16 min 8 scenes
Why Photos Look Sharp or Blurry
A photo is sharp when light from each point converges to a single point on the sensor, and blur appears when focus error or subject motion spreads that light into a disc during exposure.
8 min 4 scenes
哈希函数抗碰撞的奥秘
抗碰撞性是指没有任何比穷举更快的方法能故意制造碰撞,哈希的安全性建立在计算不可行而非数学不可能之上。
8 min 4 scenes
When Rumors Die Out
A rumor dies out when fewer than one new person is infected per infected person before that person stops spreading — so survival depends on the reproduction ratio, not on how interesting the rumor is.
8 min 4 scenes
What Is a Filter Bubble?
A filter bubble is the personalized, algorithmically narrowed slice of information a platform shows you, and the clearest sign you're in one is when your feed feels uniformly agreeable and missing opposing views.
8 min 4 scenes
The Lost Tomb of Cleopatra
Cleopatra's tomb is most likely submerged beneath the ancient harbor of Alexandria because the city has been sinking for centuries.
8 min 4 scenes
Why Stealth Shapes Bounce Radar Away
Radar reflection follows the law of reflection off each face it strikes, and shaping a target out of many flat facets let engineers choose those reflection directions deliberately — so the energy is aimed into a few specific directions instead of back at the radar.
18 min 9 scenes
How the F-22 Stays Hidden on Radar
The F-22 is hard to detect on radar because its faceted shape deflects radar energy away from the emitter and its surface coatings absorb what little energy remains, shrinking its effective radar cross-section.
8 min 4 scenes
Why Planes Fly: The Downward Push
An airplane flies because its wings deflect air downward, and the air pushes the wings upward in response.
8 min 4 scenes
Why Is There a Rainbow After Rain?
This investigation explains why rainbows need both raindrops and sunlight, and why they always appear as a colored arc opposite the Sun.
14 min 7 scenes
试除法的大数困境：为什么几十位数就试不动了
试除法判断素数的最坏步数约为 √n；n 有 d 位时，这约等于 10^(d/2) 次候选除法，所以位数线性增加、工作量却指数爆炸——30 位还能勉强算，60 位就超过宇宙年龄。
8 min 4 scenes
RSA、离散对数与椭圆曲线：密码学三大难题的差别
理解 RSA、有限域离散对数与椭圆曲线离散对数各自依赖什么数学难题，以及这些差异如何导致密钥长度和运算方式不同。
14 min 7 scenes
生日悖论与密码学威胁
生日悖论不是趣味谜题，它把哈希函数的抗碰撞能力从 n 位压缩到 n/2 位，成为密码学中必须正视的现实威胁。
20 min 10 scenes
Off-Axis Errors in Reflectors
Off-axis errors are predictable image defects that appear when light reflects off a mirror away from the optical axis — chiefly coma and astigmatism — and they grow as the field angle increases.
22 min 11 scenes
Battery Energy Investigation
A battery stores energy as chemical potential energy; you can investigate it by building a simple cell and watching both the voltage and the chemical changes at the electrodes, because the current is the flow of electrons released by a chemical reaction.
8 min 4 scenes
现实中的碰撞概率应用
理解碰撞概率的核心思想，并用生日悖论和泊松近似解释现实中的巧合与风险。
20 min 10 scenes
无车游海洋三省：枢纽+走廊
海洋三省无车游的核心是锁定哈利法克斯为交通枢纽，用 Maritime Bus 连接主要城市，再用渡轮和当地公交填补支线。
8 min 4 scenes
椭圆曲线与比特币签名
看懂 ECDSA 的数学骨架：椭圆曲线上的点加法和标量乘法，如何变成比特币里私钥、公钥、地址与签名验签之间的安全纽带。
24 min 12 scenes
椭圆曲线入门
从几何定义到密码学基础：理解椭圆曲线的形状、点加法与标量乘法，以及它们如何支撑现代加密。
24 min 12 scenes
Outsmarting the Algorithm
A practical map of how recommendation algorithms shape your feed — and a handful of concrete moves that give you more choice.
20 min 10 scenes
Why That Video? Decoding the Recommendation
How a video recommendation is computed: the score, the candidates, and the reason one video wins.
14 min 7 scenes
Why Rumors Spread So Fast
Why a rumor can reach thousands overnight—and which network conditions make it happen.
14 min 7 scenes
How a Camera Captures an Image
A camera captures an image by focusing reflected light onto a sensor, which records the brightness of each tiny point and reassembles those points into a complete picture.
6 min 3 scenes