A random passerby joined us in the most unexpected way while I was training my little… Now she finally gets to show off everything she’s learned 我正在训练我的小狗时，一位路人以最意想不到的方式加入了我们……现在她终于可以展示她学到的所有技能了。 订阅vip观看完整视频。

Mom couldn't find her earphones for days and asked her daughter for help. Unexpectedly, the daughter found them instantly... Netizens: She really asked the right person in China. 妈妈找耳机好几天都没找到让女儿帮忙 没想到女儿一下子就找到了……网友：这还真是问对人了 #母女日常#

AI 裁员时代的生存指南 Simon Willison 最新一个 blog 笑死 他转了一段 Mo Bitar 的 TikTok，叫《The Unethical Guide to Surviving AI Layoffs》 段子大意是：想升职吗？走进 CEO 办公室关上门说，hey 老板，我最近在搞一个东西叫 Ralph Loops，我觉得这可能改变一切。CEO 一定会问，什么叫 Ralph Loop？你就说，给我批 18,000 美元的 API 额度，我展示给你看。 然后你什么也不用做，因为你也做不了，因为没人能做，但等他搞明白这一点的时候，你已经升职加薪了。 第二刀更狠：翻译过来就是，老板听到“自动化”三个字会自动 high。段子告诉你怎么用：在公司大群 @ 同事：我把 Gary 自动化了。他的功能已经被 Ralph Loop 了。顺手 @ CEO。 太魔幻了……

西班牙爆冷…… 所以這就是我要接受的懲罰嗎😢 你們說，這個懲罰算不算太狠了？ 完整版在iyaofans. 🔞 Spain lost unexpectedly… so I guess this is my punishment 😢 Be honest, is this too much? Full version at iyaofans 🔞

沃日，codex 的 gpt-5.5 怎么不能用了，一直出现找不到模型，换到gpt-5.4又正常，你们也遇到了吗？ unexpected status 404 Not Found: Model not found gpt-5.5

🔪 魔改短剧《双向欲臣》第3集 双向躁郁症发作 → 把男主睡了 → 睡到天亮。 医生：你怎么度过病期的？ 她：……（昨晚被干到失声的画面在脑内循环播放） 完整版： #AI短剧# #成人短剧# #免费在线# #免费短剧#

🎬四月作品（7日發售） 『決勝內衣』156P+1V you（=i） “你猜…我內衣的顏色，是和你想像的一樣，還是完全出乎意料？” “And guess what... Is the color of my underwear the way you expected it to be, or is it totally unexpected?”

和Quant Alex @StochAlex07 讨论： SABR Theta与Spot Theta+Vol Theta+Cross Theta的异同与应用，以及SABR模型自洽性分析。 **English Summary of the Chat** **SABR Theta vs Spot Theta + Vol Theta + Cross Theta** The conversation between **Alex Wu** (white bubbles) and **Jeff Liang** (green bubbles) is a technical discussion focused on **SABR Theta versus Total Theta** (i.e., Spot Theta + Cross Theta + Vol Theta), model self-consistency, PDE residual, and the correct definition of SABR Greeks. ### Key Points Discussed: 1. **SABR Gamma = Spot Gamma** (first major question, raised by Jeff) Jeff asked whether SABR Gamma (\(\partial^2 P / \partial F^2\)) is identical to Spot Gamma and whether it includes the dependence of \(\sigma_B\) on \(F\). He also provided the full chain-rule expansion of SABR Gamma in terms of Black-76 Greeks. Alex confirmed the understanding and **later affirmed in code** that this is exactly how SABR Gamma is implemented in their system. 2. **SABR Theta vs Total Theta and Model Self-Consistency** (main topic, led by Jeff) Jeff shared a clear 3-point understanding: - SABR Theta is computed directly via the SABR approximation formula to obtain \(\sigma_B\), then applying the Black-76 chain rule: \(\partial P/\partial t =\) BS_Theta(\(\sigma_B\)) + BS_Vega \(\cdot \partial\sigma_B/\partial t\). - Total Theta is the exact decomposition from the SABR PDE (Spot Theta + Cross Theta + Vol Theta). - When the model is **fully self-consistent** (Residual = \(\partial P/\partial t + \mathcal{L}P = 0\)), SABR Theta = Total Theta; otherwise the difference is the unexplained PnL caused by the approximation error in the Hagan formula (especially pronounced in long-dated, high vol-of-vol, or high-skew options). 3. **Practical Implication – Theta Decomposition Decision** (comment by Alex) Alex noted that whether to perform Theta decomposition depends on the risk-management approach: - Without decomposition → use SABR Gamma vs. dP/dt. - With decomposition → SABR Gamma maps to Spot Theta, Vanna to Cross Theta, and Volga to Vol Theta. **Overall Tone**: The discussion is highly technical and collaborative. Jeff drives the conversation by asking clarifying questions and presenting a well-structured 3-point summary of his recent study. Alex provides confirmations, practical insights, and code-level validation. Both participants demonstrate a strong command of SABR model nuances, particularly the relationship between approximation error, PDE residual, and real-world risk management.