{
  "version": "https://jsonfeed.org/version/1.1",
  "title": "nan2inf.cn · 数学",
  "home_page_url": "https://nan2inf.cn/math/",
  "feed_url": "https://nan2inf.cn/math/feed.json",
  "description": "定义、定理、证明、题解，以及紧凑的数学笔记。",
  "language": "zh-CN",
  "authors": [
    {
      "name": "nan2inf",
      "url": "https://nan2inf.cn/"
    }
  ],
  "items": [
    {
      "id": "https://nan2inf.cn/math/abstract-algebra-course-map/",
      "url": "https://nan2inf.cn/math/abstract-algebra-course-map/",
      "title": "抽象代数课程目录迁移样例",
      "summary": "从 .com 课程树生成的目录型迁移样例，用于检验个人站是否需要系列/专题结构。",
      "content_text": "从 .com 课程树生成的目录型迁移样例，用于检验个人站是否需要系列/专题结构。",
      "date_published": "2026-06-01T00:00:00.000Z",
      "date_modified": "2026-06-01T00:00:00.000Z",
      "tags": [
        "数学",
        "math",
        "abstract-algebra",
        "course-map",
        "directory",
        "migration"
      ]
    },
    {
      "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 .com 抽象代数笔记迁入，覆盖群作用、轨道、稳定子、类方程与 Burnside 引理。",
      "content_text": "从 .com 抽象代数笔记迁入，覆盖群作用、轨道、稳定子、类方程与 Burnside 引理。",
      "date_published": "2026-06-01T00:00:00.000Z",
      "date_modified": "2026-06-01T00:00:00.000Z",
      "tags": [
        "数学",
        "math",
        "abstract-algebra",
        "group-action",
        "migration"
      ]
    },
    {
      "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": "从 .com 迁移的一阶线性方程笔记，用于验证真实旧文的短代码和公式渲染。",
      "content_text": "从 .com 迁移的一阶线性方程笔记，用于验证真实旧文的短代码和公式渲染。",
      "date_published": "2026-06-01T00:00:00.000Z",
      "date_modified": "2026-06-01T00:00:00.000Z",
      "tags": [
        "数学",
        "math",
        "pde",
        "migration"
      ]
    },
    {
      "id": "https://nan2inf.cn/math/hahn-banach-theorem/",
      "url": "https://nan2inf.cn/math/hahn-banach-theorem/",
      "title": "Hahn-Banach 定理",
      "summary": "从 .com 迁移的泛函分析笔记，覆盖多段公式、证明结构和旧式强调写法。",
      "content_text": "从 .com 迁移的泛函分析笔记，覆盖多段公式、证明结构和旧式强调写法。",
      "date_published": "2026-06-01T00:00:00.000Z",
      "date_modified": "2026-06-01T00:00:00.000Z",
      "tags": [
        "数学",
        "math",
        "functional-analysis",
        "migration"
      ]
    },
    {
      "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": "旧式公式渲染兼容样例",
      "summary": "用于验证从 .com 迁移来的公式，尤其是旧式 $$$$ 行间公式。",
      "content_text": "用于验证从 .com 迁移来的公式，尤其是旧式 $$$$ 行间公式。",
      "date_published": "2026-05-31T00:00:00.000Z",
      "date_modified": "2026-05-31T00:00:00.000Z",
      "tags": [
        "数学",
        "math",
        "migration",
        "formula"
      ]
    },
    {
      "id": "https://nan2inf.cn/math/legacy/com-knowledge-428/",
      "url": "https://nan2inf.cn/math/legacy/com-knowledge-428/",
      "title": "常微分方程：相关资料 / 定理表",
      "summary": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/常微分方程/resources/定理表/",
      "content_text": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/常微分方程/resources/定理表/",
      "date_published": "2026-02-12T00:00:00.000Z",
      "date_modified": "2026-02-12T00:00:00.000Z",
      "tags": [
        "数学",
        "migration",
        "legacy-com",
        "math",
        "resource",
        "course"
      ]
    },
    {
      "id": "https://nan2inf.cn/math/legacy/com-knowledge-427/",
      "url": "https://nan2inf.cn/math/legacy/com-knowledge-427/",
      "title": "常微分方程：相关资料 / 二阶及高阶微分方程",
      "summary": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/常微分方程/resources/二阶及高阶微分方程/",
      "content_text": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/常微分方程/resources/二阶及高阶微分方程/",
      "date_published": "2026-02-12T00:00:00.000Z",
      "date_modified": "2026-02-12T00:00:00.000Z",
      "tags": [
        "数学",
        "migration",
        "legacy-com",
        "math",
        "resource",
        "course"
      ]
    },
    {
      "id": "https://nan2inf.cn/math/legacy/com-knowledge-430/",
      "url": "https://nan2inf.cn/math/legacy/com-knowledge-430/",
      "title": "常微分方程：相关资料 / 非线性微分方程组",
      "summary": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/常微分方程/resources/非线性微分方程组/",
      "content_text": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/常微分方程/resources/非线性微分方程组/",
      "date_published": "2026-02-12T00:00:00.000Z",
      "date_modified": "2026-02-12T00:00:00.000Z",
      "tags": [
        "数学",
        "migration",
        "legacy-com",
        "math",
        "resource",
        "course"
      ]
    },
    {
      "id": "https://nan2inf.cn/math/legacy/com-knowledge-429/",
      "url": "https://nan2inf.cn/math/legacy/com-knowledge-429/",
      "title": "常微分方程：相关资料 / 微分方程组",
      "summary": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/常微分方程/resources/微分方程组/",
      "content_text": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/常微分方程/resources/微分方程组/",
      "date_published": "2026-02-12T00:00:00.000Z",
      "date_modified": "2026-02-12T00:00:00.000Z",
      "tags": [
        "数学",
        "migration",
        "legacy-com",
        "math",
        "resource",
        "course"
      ]
    },
    {
      "id": "https://nan2inf.cn/math/legacy/com-knowledge-426/",
      "url": "https://nan2inf.cn/math/legacy/com-knowledge-426/",
      "title": "常微分方程：相关资料 / 一阶微分方程",
      "summary": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/常微分方程/resources/一阶微分方程/",
      "content_text": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/常微分方程/resources/一阶微分方程/",
      "date_published": "2026-02-12T00:00:00.000Z",
      "date_modified": "2026-02-12T00:00:00.000Z",
      "tags": [
        "数学",
        "migration",
        "legacy-com",
        "math",
        "resource",
        "course"
      ]
    },
    {
      "id": "https://nan2inf.cn/math/legacy/com-knowledge-442/",
      "url": "https://nan2inf.cn/math/legacy/com-knowledge-442/",
      "title": "抽象代数 / 相关资料 / 环",
      "summary": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/抽象代数/resources/环/",
      "content_text": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/抽象代数/resources/环/",
      "date_published": "2026-02-12T00:00:00.000Z",
      "date_modified": "2026-02-12T00:00:00.000Z",
      "tags": [
        "数学",
        "migration",
        "legacy-com",
        "math",
        "resource",
        "course"
      ]
    },
    {
      "id": "https://nan2inf.cn/math/legacy/com-knowledge-441/",
      "url": "https://nan2inf.cn/math/legacy/com-knowledge-441/",
      "title": "抽象代数 / 相关资料 / 模",
      "summary": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/抽象代数/resources/模/",
      "content_text": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/抽象代数/resources/模/",
      "date_published": "2026-02-12T00:00:00.000Z",
      "date_modified": "2026-02-12T00:00:00.000Z",
      "tags": [
        "数学",
        "migration",
        "legacy-com",
        "math",
        "resource",
        "course"
      ]
    },
    {
      "id": "https://nan2inf.cn/math/legacy/com-knowledge-443/",
      "url": "https://nan2inf.cn/math/legacy/com-knowledge-443/",
      "title": "抽象代数 / 相关资料 / 绪论",
      "summary": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/抽象代数/resources/绪论/",
      "content_text": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/抽象代数/resources/绪论/",
      "date_published": "2026-02-12T00:00:00.000Z",
      "date_modified": "2026-02-12T00:00:00.000Z",
      "tags": [
        "数学",
        "migration",
        "legacy-com",
        "math",
        "resource",
        "course"
      ]
    },
    {
      "id": "https://nan2inf.cn/math/legacy/com-knowledge-445/",
      "url": "https://nan2inf.cn/math/legacy/com-knowledge-445/",
      "title": "抽象代数：群 / 2025阶群",
      "summary": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/抽象代数/chapters/群/2025阶群/",
      "content_text": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/抽象代数/chapters/群/2025阶群/",
      "date_published": "2026-02-12T00:00:00.000Z",
      "date_modified": "2026-02-12T00:00:00.000Z",
      "tags": [
        "数学",
        "migration",
        "legacy-com",
        "math",
        "course-note",
        "course"
      ]
    },
    {
      "id": "https://nan2inf.cn/math/legacy/com-knowledge-448/",
      "url": "https://nan2inf.cn/math/legacy/com-knowledge-448/",
      "title": "抽象代数：群 / 可解群,单群,Jordan-Holder定理",
      "summary": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/抽象代数/chapters/群/可解群-单群-jordan-holder定理/",
      "content_text": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/抽象代数/chapters/群/可解群-单群-jordan-holder定理/",
      "date_published": "2026-02-12T00:00:00.000Z",
      "date_modified": "2026-02-12T00:00:00.000Z",
      "tags": [
        "数学",
        "migration",
        "legacy-com",
        "math",
        "course-note",
        "course"
      ]
    },
    {
      "id": "https://nan2inf.cn/math/legacy/com-knowledge-454/",
      "url": "https://nan2inf.cn/math/legacy/com-knowledge-454/",
      "title": "抽象代数：群 / 群的同态,正规子群,商群,群同态进本定理",
      "summary": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/抽象代数/chapters/群/群的同态-正规子群-商群-群同态进本定理/",
      "content_text": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/抽象代数/chapters/群/群的同态-正规子群-商群-群同态进本定理/",
      "date_published": "2026-02-12T00:00:00.000Z",
      "date_modified": "2026-02-12T00:00:00.000Z",
      "tags": [
        "数学",
        "migration",
        "legacy-com",
        "math",
        "course-note",
        "course"
      ]
    },
    {
      "id": "https://nan2inf.cn/math/legacy/com-knowledge-455/",
      "url": "https://nan2inf.cn/math/legacy/com-knowledge-455/",
      "title": "抽象代数：群 / 群的直积",
      "summary": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/抽象代数/chapters/群/群的直积/",
      "content_text": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/抽象代数/chapters/群/群的直积/",
      "date_published": "2026-02-12T00:00:00.000Z",
      "date_modified": "2026-02-12T00:00:00.000Z",
      "tags": [
        "数学",
        "migration",
        "legacy-com",
        "math",
        "course-note",
        "course"
      ]
    },
    {
      "id": "https://nan2inf.cn/math/legacy/com-knowledge-453/",
      "url": "https://nan2inf.cn/math/legacy/com-knowledge-453/",
      "title": "抽象代数：群 / 群在集合上的作用,轨道-稳定子定理",
      "summary": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/抽象代数/chapters/群/群在集合上的作用-轨道-稳定子定理/",
      "content_text": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/抽象代数/chapters/群/群在集合上的作用-轨道-稳定子定理/",
      "date_published": "2026-02-12T00:00:00.000Z",
      "date_modified": "2026-02-12T00:00:00.000Z",
      "tags": [
        "数学",
        "migration",
        "legacy-com",
        "math",
        "course-note",
        "course"
      ]
    },
    {
      "id": "https://nan2inf.cn/math/legacy/com-knowledge-449/",
      "url": "https://nan2inf.cn/math/legacy/com-knowledge-449/",
      "title": "抽象代数：群 / 图形的对称群",
      "summary": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/抽象代数/chapters/群/图形的对称群/",
      "content_text": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/抽象代数/chapters/群/图形的对称群/",
      "date_published": "2026-02-12T00:00:00.000Z",
      "date_modified": "2026-02-12T00:00:00.000Z",
      "tags": [
        "数学",
        "migration",
        "legacy-com",
        "math",
        "course-note",
        "course"
      ]
    },
    {
      "id": "https://nan2inf.cn/math/legacy/com-knowledge-451/",
      "url": "https://nan2inf.cn/math/legacy/com-knowledge-451/",
      "title": "抽象代数：群 / 循环群",
      "summary": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/抽象代数/chapters/群/循环群/",
      "content_text": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/抽象代数/chapters/群/循环群/",
      "date_published": "2026-02-12T00:00:00.000Z",
      "date_modified": "2026-02-12T00:00:00.000Z",
      "tags": [
        "数学",
        "migration",
        "legacy-com",
        "math",
        "course-note",
        "course"
      ]
    },
    {
      "id": "https://nan2inf.cn/math/legacy/com-knowledge-452/",
      "url": "https://nan2inf.cn/math/legacy/com-knowledge-452/",
      "title": "抽象代数：群 / 有限Abel群和有限生成的Abel群的结构",
      "summary": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/抽象代数/chapters/群/有限abel群和有限生成的abel群的结构/",
      "content_text": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/抽象代数/chapters/群/有限abel群和有限生成的abel群的结构/",
      "date_published": "2026-02-12T00:00:00.000Z",
      "date_modified": "2026-02-12T00:00:00.000Z",
      "tags": [
        "数学",
        "migration",
        "legacy-com",
        "math",
        "course-note",
        "course"
      ]
    },
    {
      "id": "https://nan2inf.cn/math/legacy/com-knowledge-450/",
      "url": "https://nan2inf.cn/math/legacy/com-knowledge-450/",
      "title": "抽象代数：群 / 子群Lagrange定理",
      "summary": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/抽象代数/chapters/群/子群lagrange定理/",
      "content_text": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/抽象代数/chapters/群/子群lagrange定理/",
      "date_published": "2026-02-12T00:00:00.000Z",
      "date_modified": "2026-02-12T00:00:00.000Z",
      "tags": [
        "数学",
        "migration",
        "legacy-com",
        "math",
        "course-note",
        "course"
      ]
    },
    {
      "id": "https://nan2inf.cn/math/legacy/com-knowledge-447/",
      "url": "https://nan2inf.cn/math/legacy/com-knowledge-447/",
      "title": "抽象代数：群 / n元对称群",
      "summary": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/抽象代数/chapters/群/n元对称群/",
      "content_text": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/抽象代数/chapters/群/n元对称群/",
      "date_published": "2026-02-12T00:00:00.000Z",
      "date_modified": "2026-02-12T00:00:00.000Z",
      "tags": [
        "数学",
        "migration",
        "legacy-com",
        "math",
        "course-note",
        "course"
      ]
    },
    {
      "id": "https://nan2inf.cn/math/legacy/com-knowledge-446/",
      "url": "https://nan2inf.cn/math/legacy/com-knowledge-446/",
      "title": "抽象代数：群 / Sylow定理",
      "summary": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/抽象代数/chapters/群/sylow定理/",
      "content_text": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/抽象代数/chapters/群/sylow定理/",
      "date_published": "2026-02-12T00:00:00.000Z",
      "date_modified": "2026-02-12T00:00:00.000Z",
      "tags": [
        "数学",
        "migration",
        "legacy-com",
        "math",
        "course-note",
        "course"
      ]
    },
    {
      "id": "https://nan2inf.cn/math/legacy/com-knowledge-438/",
      "url": "https://nan2inf.cn/math/legacy/com-knowledge-438/",
      "title": "抽象代数：相关资料 / 定理表",
      "summary": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/抽象代数/resources/定理表/",
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      "content_text": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/泛函分析/chapters/度量空间/紧集/",
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      "content_text": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/泛函分析/exams/期末/题目/",
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      "content_text": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/泛函分析/exams/期末/押题/",
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      "content_text": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/泛函分析/chapters/度量空间/列紧集/",
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      "content_text": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/泛函分析/chapters/度量空间/完备化/",
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      "url": "https://nan2inf.cn/math/legacy/com-knowledge-590/",
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      "content_text": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/泛函分析/chapters/赋范空间/商空间/",
      "date_published": "2026-02-12T00:00:00.000Z",
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      "content_text": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/泛函分析/chapters/赋范空间/线性空间/",
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      "content_text": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/泛函分析/chapters/赋范空间/有限维线性赋范空间/",
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      "content_text": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/泛函分析/chapters/共轭空间/共轭空间/",
      "date_published": "2026-02-12T00:00:00.000Z",
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      "content_text": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/泛函分析/exams/考试/22级强基期中/",
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      "content_text": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/泛函分析/exams/考试/23级强基期末/",
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      "content_text": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/泛函分析/exams/考试/23级强基期中/",
      "date_published": "2026-02-12T00:00:00.000Z",
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      "content_text": "从旧 .com 全量搬运的历史内容，来源路径：/math/课程/泛函分析/chapters/内积空间/内积及不等式/",
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        "migration",
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        "math",
        "course-note",
        "course"
      ]
    }
  ]
}