Sunkais 的个人研究与执行网站，汇集计划、任务、项目、阅读、数学笔记与长期能力成长记录。https://www.sunkais.com/https://www.sunkais.com/blog/2026-05-25-ability-terminal-start/https://www.sunkais.com/blog/2026-05-25-ability-terminal-start/把个人网站从普通研究展示站改造成静态能力终端的一次站点复盘。Mon, 25 May 2026 00:00:00 GMTAstro静态网站能力终端信息架构https://www.sunkais.com/blog/deep-learning-math-preparation/https://www.sunkais.com/blog/deep-learning-math-preparation/从链式法则、线性代数和优化视角给深度学习学习路径做一次预热。Sun, 24 May 2026 00:00:00 GMT深度学习数学基础反向传播优化https://www.sunkais.com/blog/double-singular-pseudo-parabolic/https://www.sunkais.com/blog/double-singular-pseudo-parabolic/ARCHIVE-01：把拟抛物方程、双奇异权和参数条件整理成可读信号。Wed, 13 May 2026 00:00:00 GMThttps://www.sunkais.com/blog/local-solution-proof/https://www.sunkais.com/blog/local-solution-proof/ROUTE-02：局部解路线，从弱形式、特征函数和截断权函数开始。Tue, 12 May 2026 00:00:00 GMThttps://www.sunkais.com/blog/mountain-pass-steady-state/https://www.sunkais.com/blog/mountain-pass-steady-state/CORE-03：稳态方程、能量泛函、Nehari 流形与 Mountain Pass 路径。Mon, 11 May 2026 00:00:00 GMThttps://www.sunkais.com/blog/singular-weights-physical-picture/https://www.sunkais.com/blog/singular-weights-physical-picture/SIGNAL-05：用直觉解释奇异权为什么会改变估计路线。Sun, 10 May 2026 00:00:00 GMThttps://www.sunkais.com/blog/numerical-glimpse/https://www.sunkais.com/blog/numerical-glimpse/GLIMPSE-06：用轻量图像观察能量路径、参数变化和短时演化。Sat, 09 May 2026 00:00:00 GMThttps://www.sunkais.com/blog/codex-literature-workflow/https://www.sunkais.com/blog/codex-literature-workflow/WORKFLOW：用 AI 辅助题录、引用和待复查标记，但保留人工判断。Fri, 08 May 2026 00:00:00 GMTAICodex文献整理工作流https://www.sunkais.com/blog/from-ode-to-double-singular/https://www.sunkais.com/blog/from-ode-to-double-singular/把有限维直觉逐步升级到带权 PDE，观察复杂性从哪里出现。Thu, 07 May 2026 00:00:00 GMThttps://www.sunkais.com/blog/galerkin-method-notes/https://www.sunkais.com/blog/galerkin-method-notes/METHOD-04：把无限维问题投影到有限维，再靠一致估计返回原问题。Wed, 06 May 2026 00:00:00 GMThttps://www.sunkais.com/blog/my-thesis-research/https://www.sunkais.com/blog/my-thesis-research/把研究对象、证明路线和工具链整理成公开可读的低噪声版本。Tue, 05 May 2026 00:00:00 GMThttps://www.sunkais.com/blog/why-galerkin/https://www.sunkais.com/blog/why-galerkin/从有限维近似看 PDE 局部解证明的入口。Mon, 04 May 2026 00:00:00 GMThttps://www.sunkais.com/blog/why-mountain-pass/https://www.sunkais.com/blog/why-mountain-pass/从能量地形解释稳态解的山口结构。Sun, 03 May 2026 00:00:00 GMT