{ "version": "https://jsonfeed.org/version/1.1", "title": "nan2inf.cn", "home_page_url": "https://nan2inf.cn/", "feed_url": "https://nan2inf.cn/feed.json", "description": "个人写作、研究笔记、数学、算法、项目和小工具。", "language": "zh-CN", "authors": [ { "name": "nan2inf", "url": "https://nan2inf.cn/" } ], "items": [ { "id": "https://nan2inf.cn/math/learning/cosets-and-lagrange/", "url": "https://nan2inf.cn/math/learning/cosets-and-lagrange/", "title": "陪集与 Lagrange 定理：把群分成等大的块", "summary": "从整数同余理解左右陪集，证明陪集划分与 Lagrange 定理，并用例子区分必要条件和存在性。", "content_text": "从整数同余理解左右陪集，证明陪集划分与 Lagrange 定理，并用例子区分必要条件和存在性。", "date_published": "2026-09-22T00:00:00.000Z", "date_modified": "2026-09-22T00:00:00.000Z", "tags": [ "数学", "抽象代数", "群论", "陪集", "Lagrange 定理" ] }, { "id": "https://nan2inf.cn/math/learning/groups-and-subgroups/", "url": "https://nan2inf.cn/math/learning/groups-and-subgroups/", "title": "群与子群：先认清运算，再判断封闭", "summary": "用整数、非零实数与置换理解群公理，证明子群判别法，并分清有限情形与一般情形。", "content_text": "用整数、非零实数与置换理解群公理，证明子群判别法，并分清有限情形与一般情形。", "date_published": "2026-09-22T00:00:00.000Z", "date_modified": "2026-09-22T00:00:00.000Z", "tags": [ "数学", "抽象代数", "群论", "子群" ] }, { "id": "https://nan2inf.cn/math/learning/homomorphisms-and-quotients/", "url": "https://nan2inf.cn/math/learning/homomorphisms-and-quotients/", "title": "同态与商群：把无法区分的元素合在一起", "summary": "从同态的核理解正规子群，证明商群运算与代表元无关，再推导群同态基本定理并练习求核与像。", "content_text": "从同态的核理解正规子群，证明商群运算与代表元无关，再推导群同态基本定理并练习求核与像。", "date_published": "2026-09-22T00:00:00.000Z", "date_modified": "2026-09-22T00:00:00.000Z", "tags": [ "数学", "抽象代数", "群论", "群同态", "商群" ] }, { "id": "https://nan2inf.cn/math/learning/cyclic-groups/", "url": "https://nan2inf.cn/math/learning/cyclic-groups/", "title": "循环群与生成元：用整数记录幂", "summary": "从生成子群的最小性理解循环群，用指数何时相同区分有限与无限情形，并练习寻找生成元。", "content_text": "从生成子群的最小性理解循环群，用指数何时相同区分有限与无限情形，并练习寻找生成元。", "date_published": "2026-09-22T00:00:00.000Z", "date_modified": "2026-09-22T00:00:00.000Z", "tags": [ "数学", "抽象代数", "群论", "循环群" ] }, { "id": "https://nan2inf.cn/algo/training/icpc-2026-online-ii/", "url": "https://nan2inf.cn/algo/training/icpc-2026-online-ii/", "title": "2026 ICPC 网络赛第二场：十二题与个人代码", "summary": "第 127 名，5 题，611 罚时。A–L 中文题面、七份原始代码讲解与实际验证。", "content_text": "第 127 名，5 题，611 罚时。A–L 中文题面、七份原始代码讲解与实际验证。", "date_published": "2026-09-22T00:00:00.000Z", "date_modified": "2026-09-22T00:00:00.000Z", "tags": [ "算法", "ICPC", "整场训练", "数论" ] }, { "id": "https://nan2inf.cn/algo/handbook/unit-group/", "url": "https://nan2inf.cn/algo/handbook/unit-group/", "title": "模 n 单位群：先拆结构，再做统计", "summary": "从互素条件进入单位群，用 CRT 和素数幂结构拆分问题，避免把模数互素误当成答案积性。", "content_text": "从互素条件进入单位群，用 CRT 和素数幂结构拆分问题，避免把模数互素误当成答案积性。", "date_published": "2026-09-22T00:00:00.000Z", "date_modified": "2026-09-22T00:00:00.000Z", "tags": [ "算法", "数论", "群论", "中国剩余定理", "竞赛手册" ] }, { "id": "https://nan2inf.cn/algo/handbook/element-order/", "url": "https://nan2inf.cn/algo/handbook/element-order/", "title": "元素阶：把最小周期变成整除", "summary": "用幂的阶公式、循环群计数和直积周期，处理竞赛中的最小正周期与阶分布。", "content_text": "用幂的阶公式、循环群计数和直积周期，处理竞赛中的最小正周期与阶分布。", "date_published": "2026-09-22T00:00:00.000Z", "date_modified": "2026-09-22T00:00:00.000Z", "tags": [ "算法", "群论", "数论", "元素的阶", "竞赛手册" ] }, { "id": "https://nan2inf.cn/algo/training/icpc-2026-online-ii-a-all-closed/", "url": "https://nan2inf.cn/algo/training/icpc-2026-online-ii-a-all-closed/", "title": "A · All Closed：中文题面与个人代码", "summary": "中文题面、约束与样例说明，附个人原始代码分析及本地验证。", "content_text": "中文题面、约束与样例说明，附个人原始代码分析及本地验证。", "date_published": "2026-09-22T00:00:00.000Z", "date_modified": "2026-09-22T00:00:00.000Z", "tags": [ "算法", "ICPC", "2026 网络赛第二场" ] }, { "id": "https://nan2inf.cn/algo/training/icpc-2026-online-ii-b-bread/", "url": "https://nan2inf.cn/algo/training/icpc-2026-online-ii-b-bread/", "title": "B · Bread：中文题面", "summary": "中文题面、约束与样例说明；个人实现待补。", "content_text": "中文题面、约束与样例说明；个人实现待补。", "date_published": "2026-09-22T00:00:00.000Z", "date_modified": "2026-09-22T00:00:00.000Z", "tags": [ "算法", "ICPC", "2026 网络赛第二场" ] }, { "id": "https://nan2inf.cn/algo/training/icpc-2026-online-ii-c-cut-tree/", "url": "https://nan2inf.cn/algo/training/icpc-2026-online-ii-c-cut-tree/", "title": "C · Cut Tree：中文题面", "summary": "中文题面、约束与样例说明；个人实现待补。", "content_text": "中文题面、约束与样例说明；个人实现待补。", "date_published": "2026-09-22T00:00:00.000Z", "date_modified": "2026-09-22T00:00:00.000Z", "tags": [ "算法", "ICPC", "2026 网络赛第二场" ] }, { "id": "https://nan2inf.cn/algo/training/icpc-2026-online-ii-d-divide-and-conquer/", "url": "https://nan2inf.cn/algo/training/icpc-2026-online-ii-d-divide-and-conquer/", "title": "D · Divide and Conquer：中文题面与个人代码", "summary": "中文题面、约束与样例说明，附个人原始代码分析及本地验证。", "content_text": "中文题面、约束与样例说明，附个人原始代码分析及本地验证。", "date_published": "2026-09-22T00:00:00.000Z", "date_modified": "2026-09-22T00:00:00.000Z", "tags": [ "算法", "ICPC", "2026 网络赛第二场" ] }, { "id": "https://nan2inf.cn/algo/training/icpc-2026-online-ii-e-exponent-statement/", "url": "https://nan2inf.cn/algo/training/icpc-2026-online-ii-e-exponent-statement/", "title": "E · Exponent：中文题面与个人代码", "summary": "中文题面、约束与样例说明，附个人原始代码分析及本地验证。", "content_text": "中文题面、约束与样例说明，附个人原始代码分析及本地验证。", "date_published": "2026-09-22T00:00:00.000Z", "date_modified": "2026-09-22T00:00:00.000Z", "tags": [ "算法", "ICPC", "2026 网络赛第二场" ] }, { "id": "https://nan2inf.cn/algo/training/icpc-2026-online-ii-f-folding-game/", "url": "https://nan2inf.cn/algo/training/icpc-2026-online-ii-f-folding-game/", "title": "F · Folding Game of Ohto Ai：中文题面", "summary": "中文题面、约束与样例说明；个人实现待补。", "content_text": "中文题面、约束与样例说明；个人实现待补。", "date_published": "2026-09-22T00:00:00.000Z", "date_modified": "2026-09-22T00:00:00.000Z", "tags": [ "算法", "ICPC", "2026 网络赛第二场" ] }, { "id": "https://nan2inf.cn/algo/training/icpc-2026-online-ii-g-ghost-of-tsushima/", "url": "https://nan2inf.cn/algo/training/icpc-2026-online-ii-g-ghost-of-tsushima/", "title": "G · Ghost of Tsushima：中文题面", "summary": "中文题面、约束与样例说明；个人实现待补。", "content_text": "中文题面、约束与样例说明；个人实现待补。", "date_published": "2026-09-22T00:00:00.000Z", "date_modified": "2026-09-22T00:00:00.000Z", "tags": [ "算法", "ICPC", "2026 网络赛第二场" ] }, { "id": "https://nan2inf.cn/algo/training/icpc-2026-online-ii-h-hidden-track/", "url": "https://nan2inf.cn/algo/training/icpc-2026-online-ii-h-hidden-track/", "title": "H · Hidden Track (Easy Version)：中文题面与个人代码", "summary": "中文题面、约束与样例说明，附个人原始代码分析及本地验证。", "content_text": "中文题面、约束与样例说明，附个人原始代码分析及本地验证。", "date_published": "2026-09-22T00:00:00.000Z", "date_modified": "2026-09-22T00:00:00.000Z", "tags": [ "算法", "ICPC", "2026 网络赛第二场" ] }, { "id": "https://nan2inf.cn/algo/training/icpc-2026-online-ii-i-island/", "url": "https://nan2inf.cn/algo/training/icpc-2026-online-ii-i-island/", "title": "I · Island：中文题面与个人代码", "summary": "中文题面、约束与样例说明，附个人原始代码分析及本地验证。", "content_text": "中文题面、约束与样例说明，附个人原始代码分析及本地验证。", "date_published": "2026-09-22T00:00:00.000Z", "date_modified": "2026-09-22T00:00:00.000Z", "tags": [ "算法", "ICPC", "2026 网络赛第二场" ] }, { "id": "https://nan2inf.cn/algo/training/icpc-2026-online-ii-j-joker-or-judger/", "url": "https://nan2inf.cn/algo/training/icpc-2026-online-ii-j-joker-or-judger/", "title": "J · Joker or Judger：中文题面", "summary": "中文题面、约束与样例说明；个人实现待补。", "content_text": "中文题面、约束与样例说明；个人实现待补。", "date_published": "2026-09-22T00:00:00.000Z", "date_modified": "2026-09-22T00:00:00.000Z", "tags": [ "算法", "ICPC", "2026 网络赛第二场" ] }, { "id": "https://nan2inf.cn/algo/training/icpc-2026-online-ii-k-k-mex/", "url": "https://nan2inf.cn/algo/training/icpc-2026-online-ii-k-k-mex/", "title": "K · K-MEX：中文题面与个人代码", "summary": "中文题面、约束与样例说明，附个人原始代码分析及本地验证。", "content_text": "中文题面、约束与样例说明，附个人原始代码分析及本地验证。", "date_published": "2026-09-22T00:00:00.000Z", "date_modified": "2026-09-22T00:00:00.000Z", "tags": [ "算法", "ICPC", "2026 网络赛第二场" ] }, { "id": "https://nan2inf.cn/algo/training/icpc-2026-online-ii-l-loop/", "url": "https://nan2inf.cn/algo/training/icpc-2026-online-ii-l-loop/", "title": "L · Loop：中文题面与个人代码", "summary": "中文题面、约束与样例说明，附个人原始代码分析及本地验证。", "content_text": "中文题面、约束与样例说明，附个人原始代码分析及本地验证。", "date_published": "2026-09-22T00:00:00.000Z", "date_modified": "2026-09-22T00:00:00.000Z", "tags": [ "算法", "ICPC", "2026 网络赛第二场" ] }, { "id": "https://nan2inf.cn/math/learning/group-element-orders/", "url": "https://nan2inf.cn/math/learning/group-element-orders/", "title": "群元素的阶：从幂的周期到循环群计数", "summary": "从最小正周期出发，证明幂的阶公式，辨清 Lagrange 定理的方向，再计算循环群中的阶分布、方程根数与直积中的阶。", "content_text": "从最小正周期出发，证明幂的阶公式，辨清 Lagrange 定理的方向，再计算循环群中的阶分布、方程根数与直积中的阶。", "date_published": "2026-09-20T00:00:00.000Z", "date_modified": "2026-09-20T00:00:00.000Z", "tags": [ "数学", "抽象代数", "群论", "循环群", "元素的阶" ] }, { "id": "https://nan2inf.cn/algo/training/icpc-2026-online-ii-exponent/", "url": "https://nan2inf.cn/algo/training/icpc-2026-online-ii-exponent/", "title": "ICPC 2026 网络赛第二场 E：Exponent 与单位群的阶之和", "summary": "从模 n 单位群的结构出发，把最小公倍数拆成素数分量，用累积计数差分计算所有元素的阶之和，并给出 C++17 实现。", "content_text": "从模 n 单位群的结构出发，把最小公倍数拆成素数分量，用累积计数差分计算所有元素的阶之和，并给出 C++17 实现。", "date_published": "2026-09-20T00:00:00.000Z", "date_modified": "2026-09-20T00:00:00.000Z", "tags": [ "算法", "ICPC", "数论", "群论", "元素的阶", "C++17" ] }, { "id": "https://nan2inf.cn/math/learning/darboux-integrability/", "url": "https://nan2inf.cn/math/learning/darboux-integrability/", "title": "Darboux 上下和与黎曼可积判别", "summary": "用上下和控制所有黎曼和：分割加细、可积判别的完整证明，以及例题、反例与练习。", "content_text": "用上下和控制所有黎曼和：分割加细、可积判别的完整证明，以及例题、反例与练习。", "date_published": "2026-09-18T00:00:00.000Z", "date_modified": "2026-09-18T00:00:00.000Z", "tags": [ "数学", "数学分析", "定积分", "Darboux 和" ] }, { "id": "https://nan2inf.cn/math/abstract-algebra-course-map/", "url": "https://nan2inf.cn/math/abstract-algebra-course-map/", "title": "抽象代数学习路线", "summary": "围绕群、环、域与模组织抽象代数笔记，并给出适合连续阅读的入口。", "content_text": "围绕群、环、域与模组织抽象代数笔记，并给出适合连续阅读的入口。", "date_published": "2026-06-01T00:00:00.000Z", "date_modified": "2026-06-01T00:00:00.000Z", "tags": [ "数学", "数学", "抽象代数", "学习路线" ] }, { "id": "https://nan2inf.cn/math/group-action-orbit-stabilizer/", "url": "https://nan2inf.cn/math/group-action-orbit-stabilizer/", "title": "群作用与轨道-稳定子定理", "summary": "从群作用出发整理轨道、稳定子、类方程与 Burnside 引理之间的关系。", "content_text": "从群作用出发整理轨道、稳定子、类方程与 Burnside 引理之间的关系。", "date_published": "2026-06-01T00:00:00.000Z", "date_modified": "2026-06-01T00:00:00.000Z", "tags": [ "数学", "math", "abstract-algebra", "group-action" ] }, { "id": "https://nan2inf.cn/math/first-order-characteristics/", "url": "https://nan2inf.cn/math/first-order-characteristics/", "title": "一阶线性方程的特征线解法", "summary": "用特征线方法求解一阶线性偏微分方程，并整理初值条件的处理过程。", "content_text": "用特征线方法求解一阶线性偏微分方程，并整理初值条件的处理过程。", "date_published": "2026-06-01T00:00:00.000Z", "date_modified": "2026-06-01T00:00:00.000Z", "tags": [ "数学", "math", "pde" ] }, { "id": "https://nan2inf.cn/math/hahn-banach-theorem/", "url": "https://nan2inf.cn/math/hahn-banach-theorem/", "title": "Hahn-Banach 定理", "summary": "Hahn-Banach 定理的实形式、复形式及其在线性泛函延拓中的作用。", "content_text": "Hahn-Banach 定理的实形式、复形式及其在线性泛函延拓中的作用。", "date_published": "2026-06-01T00:00:00.000Z", "date_modified": "2026-06-01T00:00:00.000Z", "tags": [ "数学", "math", "functional-analysis" ] }, { "id": "https://nan2inf.cn/algo/nowcoder-2024-summer-camp-10/", "url": "https://nan2inf.cn/algo/nowcoder-2024-summer-camp-10/", "title": "2024 暑期牛客多校训练营 10", "summary": "2024 暑期牛客多校训练营第十场题解，记录建模、推导与 C++ 实现。", "content_text": "2024 暑期牛客多校训练营第十场题解，记录建模、推导与 C++ 实现。", "date_published": "2026-06-01T00:00:00.000Z", "date_modified": "2026-06-01T00:00:00.000Z", "tags": [ "算法", "algo", "contest", "nowcoder", "code" ] }, { "id": "https://nan2inf.cn/algo/linear-list-adt-implementation/", "url": "https://nan2inf.cn/algo/linear-list-adt-implementation/", "title": "线性表 ADT 的实现", "summary": "比较三种线性表和两种双端队列的表示，实践栈、表达式与基数排序；附 C++17 参考实现、契约和边界测试。", "content_text": "比较三种线性表和两种双端队列的表示，实践栈、表达式与基数排序；附 C++17 参考实现、契约和边界测试。", "date_published": "2026-06-01T00:00:00.000Z", "date_modified": "2026-06-01T00:00:00.000Z", "tags": [ "算法", "algo", "data-structures" ] }, { "id": "https://nan2inf.cn/blog/static-first-personal-site/", "url": "https://nan2inf.cn/blog/static-first-personal-site/", "title": "静态优先的个人站", "summary": "为什么 nan2inf.cn 从静态页面和小后端面开始。", "content_text": "为什么 nan2inf.cn 从静态页面和小后端面开始。", "date_published": "2026-05-31T00:00:00.000Z", "date_modified": "2026-05-31T00:00:00.000Z", "tags": [ "博客", "architecture", "astro", "deployment" ] }, { "id": "https://nan2inf.cn/research/pulse-graph-interface/", "url": "https://nan2inf.cn/research/pulse-graph-interface/", "title": "脉冲图界面笔记", "summary": "一种不依赖重型 WebGL 的技术页面轻量视觉语言。", "content_text": "一种不依赖重型 WebGL 的技术页面轻量视觉语言。", "date_published": "2026-05-31T00:00:00.000Z", "date_modified": "2026-05-31T00:00:00.000Z", "tags": [ "研究", "interface", "canvas", "research" ] }, { "id": "https://nan2inf.cn/math/compact-proof-patterns/", "url": "https://nan2inf.cn/math/compact-proof-patterns/", "title": "紧凑证明模式", "summary": "一则关于如何在 MDX 中保持定义、命题和证明草图可读的小笔记。", "content_text": "一则关于如何在 MDX 中保持定义、命题和证明草图可读的小笔记。", "date_published": "2026-05-31T00:00:00.000Z", "date_modified": "2026-05-31T00:00:00.000Z", "tags": [ "数学", "proof", "mdx", "notes" ] }, { "id": "https://nan2inf.cn/math/legacy-formula-rendering/", "url": "https://nan2inf.cn/math/legacy-formula-rendering/", "title": "TeX 公式的网页排版约定", "summary": "记录行内公式、行间公式与兼容写法在网页阅读中的排版边界。", "content_text": "记录行内公式、行间公式与兼容写法在网页阅读中的排版边界。", "date_published": "2026-05-31T00:00:00.000Z", "date_modified": "2026-05-31T00:00:00.000Z", "tags": [ "数学", "数学", "TeX", "KaTeX" ] }, { "id": "https://nan2inf.cn/algo/queue-boundaries/", "url": "https://nan2inf.cn/algo/queue-boundaries/", "title": "小系统里的队列边界", "summary": "一则关于为什么个人工具后端的后台任务应当基于白名单的小笔记。", "content_text": "一则关于为什么个人工具后端的后台任务应当基于白名单的小笔记。", "date_published": "2026-05-31T00:00:00.000Z", "date_modified": "2026-05-31T00:00:00.000Z", "tags": [ "算法", "rq", "security", "backend" ] }, { "id": "https://nan2inf.cn/projects/ascend-archive/", "url": "https://nan2inf.cn/projects/ascend-archive/", "title": "Ascend 竞赛资料索引", "summary": "整理 Ascend 竞赛、性能优化与榜单系统中值得长期保留的实现记录。", "content_text": "整理 Ascend 竞赛、性能优化与榜单系统中值得长期保留的实现记录。", "date_published": "2026-05-31T00:00:00.000Z", "date_modified": "2026-05-31T00:00:00.000Z", "tags": [ "项目", "Ascend", "竞赛", "性能优化" ] }, { "id": "https://nan2inf.cn/projects/personal-site/", "url": "https://nan2inf.cn/projects/personal-site/", "title": "nan2inf.cn 个人站", "summary": "以 Astro 静态内容为主体、Django 小后端为补充的个人知识站。", "content_text": "以 Astro 静态内容为主体、Django 小后端为补充的个人知识站。", "date_published": "2026-05-31T00:00:00.000Z", "date_modified": "2026-05-31T00:00:00.000Z", "tags": [ "项目", "astro", "django", "infra" ] }, { "id": "https://nan2inf.cn/research/legacy/com-knowledge-262/", "url": "https://nan2inf.cn/research/legacy/com-knowledge-262/", "title": "23年", "summary": "语言模型的重要意义，有哪些语言模型 unigram bigram计算。", "content_text": "语言模型的重要意义，有哪些语言模型 unigram bigram计算。", "date_published": "2026-02-12T00:00:00.000Z", "date_modified": "2026-02-13T00:00:00.000Z", "tags": [ "研究", "NLP", "资料" ] }, { "id": "https://nan2inf.cn/research/legacy/com-knowledge-263/", "url": "https://nan2inf.cn/research/legacy/com-knowledge-263/", "title": "24年", "summary": "一、简答（40’，每个8’） 1. HMM和BMM方法的定义，以及两者的主要区别。", "content_text": "一、简答（40’，每个8’） 1. HMM和BMM方法的定义，以及两者的主要区别。", "date_published": "2026-02-12T00:00:00.000Z", "date_modified": "2026-02-13T00:00:00.000Z", "tags": [ "研究", "NLP", "资料" ] }, { "id": "https://nan2inf.cn/research/legacy/com-knowledge-264/", "url": "https://nan2inf.cn/research/legacy/com-knowledge-264/", "title": "25年", "summary": "语言模型是什么？有什么常见的语言模型？ 简单计算 unigram, bigram。", "content_text": "语言模型是什么？有什么常见的语言模型？ 简单计算 unigram, bigram。", "date_published": "2026-02-12T00:00:00.000Z", "date_modified": "2026-02-13T00:00:00.000Z", "tags": [ "研究", "NLP", "资料" ] }, { "id": "https://nan2inf.cn/research/legacy/com-knowledge-273/", "url": "https://nan2inf.cn/research/legacy/com-knowledge-273/", "title": "词法", "summary": "Bi-directional MM: 双向最大匹配算法。", "content_text": "Bi-directional MM: 双向最大匹配算法。", "date_published": "2026-02-12T00:00:00.000Z", "date_modified": "2026-02-13T00:00:00.000Z", "tags": [ "研究", "NLP", "资料" ] }, { "id": "https://nan2inf.cn/research/legacy/com-knowledge-272/", "url": "https://nan2inf.cn/research/legacy/com-knowledge-272/", "title": "词义", "summary": "NLP中关于「词义」的主题笔记。", "content_text": "NLP中关于「词义」的主题笔记。", "date_published": "2026-02-12T00:00:00.000Z", "date_modified": "2026-02-13T00:00:00.000Z", "tags": [ "研究", "NLP", "资料" ] }, { "id": "https://nan2inf.cn/research/legacy/com-knowledge-271/", "url": "https://nan2inf.cn/research/legacy/com-knowledge-271/", "title": "机器翻译", "summary": "NLP中关于「机器翻译」的主题笔记。", "content_text": "NLP中关于「机器翻译」的主题笔记。", "date_published": "2026-02-12T00:00:00.000Z", "date_modified": "2026-02-13T00:00:00.000Z", "tags": [ "研究", "NLP", "资料" ] }, { "id": "https://nan2inf.cn/research/legacy/com-course-613/", "url": "https://nan2inf.cn/research/legacy/com-course-613/", "title": "计算机视觉", "summary": "计算机视觉的课程笔记，按主题、章节与习题整理。", "content_text": "计算机视觉的课程笔记，按主题、章节与习题整理。", "date_published": "2026-02-12T00:00:00.000Z", "date_modified": "2026-02-12T00:00:00.000Z", "tags": [ "研究", "计算机视觉" ] }, { "id": "https://nan2inf.cn/research/legacy/com-knowledge-627/", "url": "https://nan2inf.cn/research/legacy/com-knowledge-627/", "title": "计算机视觉期末复习笔记", "summary": "系统整理图像滤波、特征提取、分割、几何与深度学习等计算机视觉核心主题。", "content_text": "系统整理图像滤波、特征提取、分割、几何与深度学习等计算机视觉核心主题。", "date_published": "2026-02-12T00:00:00.000Z", "date_modified": "2026-02-13T00:00:00.000Z", "tags": [ "研究", "计算机视觉", "图像处理", "深度学习", "复习笔记" ] }, { "id": "https://nan2inf.cn/research/legacy/com-knowledge-622/", "url": "https://nan2inf.cn/research/legacy/com-knowledge-622/", "title": "计算机视觉实验 1：卷积与二维图像处理", "summary": "围绕二维卷积、互相关和滤波复杂度展开的理论推导与图像处理实验。", "content_text": "围绕二维卷积、互相关和滤波复杂度展开的理论推导与图像处理实验。", "date_published": "2026-02-12T00:00:00.000Z", "date_modified": "2026-02-13T00:00:00.000Z", "tags": [ "研究", "计算机视觉", "二维卷积", "互相关", "实验" ] }, { "id": "https://nan2inf.cn/research/legacy/com-knowledge-268/", "url": "https://nan2inf.cn/research/legacy/com-knowledge-268/", "title": "句法", "summary": "Inside-Outside（内外）算法的问题 计算速度慢 每次迭代的时间复杂度为 ，其中 ， 表示文法中非终结符的数量。 容易陷入局部最优 Charniak 指出，在每一次试验中，算法往往会收敛到不同的局部最大值。", "content_text": "Inside-Outside（内外）算法的问题 计算速度慢 每次迭代的时间复杂度为 ，其中 ， 表示文法中非终结符的数量。 容易陷入局部最优 Charniak 指出，在每一次试验中，算法往往会收敛到不同的局部最大值。", "date_published": "2026-02-12T00:00:00.000Z", "date_modified": "2026-02-13T00:00:00.000Z", "tags": [ "研究", "NLP", "资料" ] }, { "id": "https://nan2inf.cn/research/legacy/com-knowledge-267/", "url": "https://nan2inf.cn/research/legacy/com-knowledge-267/", "title": "句义分析概览", "summary": "自然语言处理中的格语法与语义角色标注主题索引。", "content_text": "自然语言处理中的格语法与语义角色标注主题索引。", "date_published": "2026-02-12T00:00:00.000Z", "date_modified": "2026-02-13T00:00:00.000Z", "tags": [ "研究", "NLP", "句义分析", "语义角色标注" ] }, { "id": "https://nan2inf.cn/research/legacy/com-knowledge-265/", "url": "https://nan2inf.cn/research/legacy/com-knowledge-265/", "title": "人机交互", "summary": "面向任务的人机交互, 大概由什么样的内容组合 (1) 人际交流是人类社会的一个主要特征, 是推动人类社会向前发展的重要动力 (2) 自然语言是人际交流的主要工具之一 (3) 对话是使用自然语言进行人际交流的主要方式之一。", "content_text": "面向任务的人机交互, 大概由什么样的内容组合 (1) 人际交流是人类社会的一个主要特征, 是推动人类社会向前发展的重要动力 (2) 自然语言是人际交流的主要工具之一 (3) 对话是使用自然语言进行人际交流的主要方式之一。", "date_published": "2026-02-12T00:00:00.000Z", "date_modified": "2026-02-13T00:00:00.000Z", "tags": [ "研究", "NLP", "资料" ] }, { "id": "https://nan2inf.cn/research/legacy/com-course-518/", "url": "https://nan2inf.cn/research/legacy/com-course-518/", "title": "昇腾开发板", "summary": "昇腾开发板课程入口；公开章节尚在核对与整理。", "content_text": "昇腾开发板课程入口；公开章节尚在核对与整理。", "date_published": "2026-02-12T00:00:00.000Z", "date_modified": "2026-02-12T00:00:00.000Z", "tags": [ "研究", "昇腾开发板" ] }, { "id": "https://nan2inf.cn/research/legacy/com-knowledge-624/", "url": "https://nan2inf.cn/research/legacy/com-knowledge-624/", "title": "实验2-1 图像变换", "summary": "1. 掌握图像的参数化几何变换原理 2. 掌握图像的前向变换与逆向变换 3. 掌握图像的下抽样原理以及图像的内插方法原理 4. 掌握图像的高斯金字塔与拉普拉斯金字塔表示原理 前向变换: ; 存在问题 不一定是整数 逆向变换: ; 存在问题 不一定可逆. 且逆变换也不一定是整数。", "content_text": "1. 掌握图像的参数化几何变换原理 2. 掌握图像的前向变换与逆向变换 3. 掌握图像的下抽样原理以及图像的内插方法原理 4. 掌握图像的高斯金字塔与拉普拉斯金字塔表示原理 前向变换: ; 存在问题 不一定是整数 逆向变换: ; 存在问题 不一定可逆. 且逆变换也不一定是整数。", "date_published": "2026-02-12T00:00:00.000Z", "date_modified": "2026-02-13T00:00:00.000Z", "tags": [ "研究", "计算机视觉", "实验报告", "实验" ] }, { "id": "https://nan2inf.cn/research/legacy/com-knowledge-623/", "url": "https://nan2inf.cn/research/legacy/com-knowledge-623/", "title": "实验2-2 特征检测", "summary": "1. 计算基于高斯一阶微分的图像梯度（幅值图与方向图）, 分析高斯方差对图像梯度的影响。", "content_text": "1. 计算基于高斯一阶微分的图像梯度（幅值图与方向图）, 分析高斯方差对图像梯度的影响。", "date_published": "2026-02-12T00:00:00.000Z", "date_modified": "2026-02-13T00:00:00.000Z", "tags": [ "研究", "计算机视觉", "实验报告", "实验" ] } ] }