{ "personId": "emmy-noether", "uid": "SL-0023", "name": "埃米·诺特", "version": "V2研究贡献账", "updatedAt": "2026-09-15", "formula": { "q": "Q = 10^(M/2) − 1", "light": "Lᵢ = aᵢ × Qᵢ", "total": "L = Σ Lᵢ", "score": "S = 2 × log₁₀(1 + L)" }, "scopeNote": "本轮当前已列4项有限研究账；M与归功份额为可修订判断。未覆盖内容和未核清的负面作用不按零处理，具体缺口见逐项说明。", "exclusions": [ { "id": "NOETHER-NET-LIFETIME", "title": "完整生涯的净影响", "reason": "现有材料用于核实特定数学与教学交付，未建立涵盖其全部生涯后果的正负影响账本。" } ], "items": [ { "id": "OUT-SL0023-1918-INVARIANT-VARIATIONAL-THEOREM-FAMILY", "title": "变分问题中的对称性与守恒关系（两条定理合族）", "year": "1918", "summary": "在《不变变分问题》中提出两条相互关联的定理及逆命题，建立连续对称性与守恒律的系统联系。此处作为一个定理家族呈现，不把能量、动量等后来的应用重复计入。", "M": "7.0", "budget": [ { "actor": "埃米·诺特", "actorId": "SL-0023", "type": "SUBJECT", "share": "0.65" }, { "actor": "大卫·希尔伯特", "actorId": "SL-0091", "type": "PREDECESSOR", "share": "0.10" }, { "actor": "Felix Klein（哥廷根协作方）", "actorId": "EXT-NAME:FELIX-KLEIN", "type": "PREDECESSOR", "share": "0.05" }, { "actor": "变分不变量、相对论与守恒律前史", "actorId": "NOETHER-1918::VARIATIONAL-INVARIANT-RELATIVITY-FOUNDATIONS", "type": "PREDECESSOR_POOL", "share": "0.15" }, { "actor": "未分配的背景贡献", "actorId": "NOETHER-1918::UNKNOWN", "type": "UNALLOCATED", "share": "0.05" } ], "mReason": "M7.0与Maxwell电磁场—光统一同档：两者都把广泛物理现象压入可复用的数学结构。Noether方法跨经典场论、相对论和后续物理形式，但当前未把后世全部应用收入，因此不因应用数量继续上调。它高于Maxwell输运M6和ACE M5的有界方法锚。", "aReason": "Noether以定理、逆命题和一般证明的核心作者责任获0.65；Hilbert的问题与相对论背景0.10，Klein的问题组织0.05；变分、不变量和群论前史0.15；未知0.05。问题提出与前史在a中可见，但不从M重复扣减。", "overlapNote": "把1918《Invariante Variationsprobleme》中两条相互关联定理及其逆命题视为一个方法族：连续变换群在变分问题中的守恒律与恒等关系；区分由独立参数描述的连续对称及依赖任意函数的局部对称。不按两条定理名称、能量、动量、规范或后世每类应用分别累加M。排除Hilbert和Klein的问题背景、Weyl后续发展、量子场论与规范理论的独立增量。", "status": "缺证暂估", "missing": "本次修订未取得可逐页解析的1918原文。；Hilbert、Klein与Noether具体问题往来的份额仍是规范暂估。 高档M的跨代直接使用证据须与思想同样展示来源定位，不能由熟悉的科学史结论免验；具名前驱再次归功同样接受消费审查。", "sources": [ { "label": "EuDML：1918年原作书目信息", "url": "https://eudml.org/doc/59024" }, { "label": "UCLA：Noether 定理历史说明", "url": "https://cwp.library.ucla.edu/articles/noether.asg/noether.html" } ], "share": "0.65", "exactLight": "2054.830479109446565799280803881267046917710840561390937457378154315186385115504843873761270446545192", "light": "2054.830479", "standaloneScore": "6.63", "lightSharePercent": "56.8812" }, { "id": "OUT-SL0023-1921-1924-IDEAL-RING-METHODS", "title": "理想理论、主分解与抽象环方法", "year": "1921", "summary": "从理想理论出发推进满足链条件的抽象环方法，并发展主分解等结构结果；这是一段连续的代数工作，而非孤立成果。", "mReason": "M6.5高于Maxwell输运M6，因为该方法族建立了现代抽象代数的一般对象和长期结构语言；低于或不超过Maxwell场—光与Noether对称—守恒M7，因为当前scope主要集中在可换环和理想理论。", "aReason": "Noether作为核心论文和抽象方法作者获0.70；Lasker特例0.10；Dedekind、Hilbert及理想代数前史合计0.15；未知0.05。van der Waerden后继教材不进入本体预算。", "sources": [ { "label": "MacTutor：Emmy Noether", "url": "https://mathshistory.st-andrews.ac.uk/Biographies/Noether_Emmy/" }, { "label": "DSB：Emmy Noether 条目", "url": "https://mathshistory.st-andrews.ac.uk/DSB/Noether_Emmy.pdf" } ], "missing": "现有依据是数学史传记和书目，未逐项核读1921–24原文。；前史池内部份额仍未细分。", "status": "缺证暂估", "overlapNote": "把1921–1924年从特定对象推进到满足链条件的抽象可换环、理想主分解及相关结构条件视为一个连续代数方法族。排除Lasker的多项式环特例、van der Waerden教材的表达与全球传播、全部后来Noetherian理论，以及1927–1933非交换合作族。", "M": "6.5", "budget": [ { "actor": "埃米·诺特", "actorId": "SL-0023", "type": "SUBJECT", "share": "0.70" }, { "actor": "伊曼努尔·拉斯克（理想理论前史）", "actorId": "EXT-NAME:EMANUEL-LASKER", "type": "PREDECESSOR", "share": "0.10" }, { "actor": "Dedekind—Hilbert 理想与代数基础", "actorId": "NOETHER-RING::DEDEKIND-HILBERT-IDEAL-ALGEBRA-FOUNDATIONS", "type": "PREDECESSOR_POOL", "share": "0.15" }, { "actor": "未分配的背景贡献", "actorId": "NOETHER-RING::UNKNOWN", "type": "UNALLOCATED", "share": "0.05" } ], "share": "0.70", "exactLight": "1244.095587027245960857794836634879391315053368481578750608281505943411317077645663430210279495091508", "light": "1244.095587", "standaloneScore": "6.19", "lightSharePercent": "34.4387" }, { "id": "OUT-SL0023-1927-1933-NONCOMMUTATIVE-ALGEBRA-COLLABORATION", "title": "非交换代数、表示与数论的合作研究", "year": "1927", "summary": "自1927年起在非交换代数、表示与数论交界开展研究；与 Richard Brauer、Helmut Hasse 的1932年合著结果属于三人共同交付。", "mReason": "M5.8略低于Maxwell输运M6：该合作族包含一个基本结构定理和跨领域连接，但适用对象比一般物理输运或可换环方法更窄。它高于ACE M5的单一架构报告，因形成可持续数学研究结构。", "aReason": "Noether在合作族中有持续概念与研究作用，暂获0.35；Brauer和Hasse作为1932核心定理共同作者各0.25；表示与数论前史0.10；未知0.05。缺分工档案时不以作者顺序或声望给Noether独占。", "sources": [ { "label": "MacTutor：Emmy Noether", "url": "https://mathshistory.st-andrews.ac.uk/Biographies/Noether_Emmy/" }, { "label": "DSB：Emmy Noether 条目", "url": "https://mathshistory.st-andrews.ac.uk/DSB/Noether_Emmy.pdf" } ], "missing": "三位作者在证明、概念和写作中的分工档案缺失。；有限资料不足以把1927–33每项相关论文都纳入。", "status": "缺证暂估", "overlapNote": "把1927–1933年非交换代数、表示与数论交界的连续研究合为一个合作族，核心锚为1932年Brauer、Hasse、Noether共同证明代数数域上每个简单代数为循环代数。排除早期可换理想/环方法已领取的抽象基础、逐篇论文累加、Schmeidler等其他合著的未核增量，以及三位作者后续全部成果。", "M": "5.8", "budget": [ { "actor": "埃米·诺特", "actorId": "SL-0023", "type": "SUBJECT", "share": "0.35" }, { "actor": "Richard Brauer（非交换代数合作者）", "actorId": "EXT-NAME:RICHARD-BRAUER", "type": "COLLABORATOR", "share": "0.25" }, { "actor": "Helmut Hasse（数论与代数合作者）", "actorId": "EXT-NAME:HELMUT-HASSE", "type": "COLLABORATOR", "share": "0.25" }, { "actor": "表示论与数论基础", "actorId": "NOETHER-NONCOMM::REPRESENTATION-NUMBER-THEORY-FOUNDATIONS", "type": "PREDECESSOR_POOL", "share": "0.10" }, { "actor": "未分配的背景贡献", "actorId": "NOETHER-NONCOMM::UNKNOWN", "type": "UNALLOCATED", "share": "0.05" } ], "share": "0.35", "exactLight": "277.6648821534985257230713989927357764061362211144195162323133752609344940170206381239833381465165973", "light": "277.664882", "standaloneScore": "4.89", "lightSharePercent": "7.6862" }, { "id": "OUT-SL0023-1916-1935-ALGEBRA-TEACHING-SERVICE", "title": "Göttingen 与 Bryn Mawr 的抽象代数教学和学派服务", "year": "1916", "summary": "在 Göttingen、Bryn Mawr 与 Princeton 通过课程、研讨班和每周讲座传播抽象代数的概念与方法；相关教材由 van der Waerden 撰写，并吸收 Artin 与诺特的讲课。", "M": "3.5", "budget": [ { "actor": "埃米·诺特", "actorId": "SL-0023", "type": "SUBJECT", "share": "0.65" }, { "actor": "大卫·希尔伯特", "actorId": "SL-0091", "type": "COLLABORATOR", "share": "0.05" }, { "actor": "哥廷根大学", "actorId": "INSTITUTION:UNIVERSITY-OF-GOTTINGEN", "type": "INSTITUTION", "share": "0.05" }, { "actor": "Bryn Mawr 学院", "actorId": "INSTITUTION:BRYN-MAWR-COLLEGE", "type": "INSTITUTION", "share": "0.10" }, { "actor": "普林斯顿大学", "actorId": "INSTITUTION:PRINCETON-UNIVERSITY", "type": "INSTITUTION", "share": "0.05" }, { "actor": "Artin 与抽象代数讲课输入", "actorId": "NOETHER-TEACHING::ARTIN-AND-ALGEBRA-LECTURE-INPUTS", "type": "PREDECESSOR_POOL", "share": "0.05" }, { "actor": "未分配的教学背景贡献", "actorId": "NOETHER-TEACHING::UNKNOWN", "type": "UNALLOCATED", "share": "0.05" } ], "mReason": "M3.5高于单次讲座或一般工具M3，因为有多年、跨机构且具体的课程与研讨班服务；缺完整课时、名册和教学效果，远低于本体数学方法M5以上。", "aReason": "Noether作为主要教师0.65；Hilbert早期课程承载0.05；Göttingen 0.05、Bryn Mawr 0.10、Princeton 0.05；Artin及代数讲授输入0.05；未知0.05。学生作为受益者不因未来成果获得或转回本点份额。", "overlapNote": "只计1916–1935年可证的课程协助、Göttingen理想理论教学、1933年家中学生聚会、Bryn Mawr三名学生和一名教员研讨班，以及1934年Princeton每周讲授。排除学生与同事未来研究成果、van der Waerden独著教材的完整价值、全部流亡学术史和抽象代数的本体定理。", "status": "缺证暂估", "missing": "缺完整班级名册、课时和学生学习效果。；1935同事悼文本次修订只核到元数据。", "sources": [ { "label": "MacTutor：Emmy Noether", "url": "https://mathshistory.st-andrews.ac.uk/Biographies/Noether_Emmy/" }, { "label": "MacTutor：van der Waerden 书评资料", "url": "https://mathshistory.st-andrews.ac.uk/Extras/Van_der_Waerden_reviews/" } ], "share": "0.65", "exactLight": "35.90218613737269022567181758547128004543631780141495816530981254283243196179908517888076899420431988", "light": "35.902186", "standaloneScore": "3.13", "lightSharePercent": "0.9938" } ], "exactTotalLight": "3612.493134427563742605818857094353494684336747958804162463282848062364628171970230606835657082357617", "totalLight": "3612.493134", "exactScore": "7.115854467806094494123730998946441008862604585268756725429962090984141959624728960828936877667915130", "displayScore": "7.12", "provisionalCount": 4, "provenance": { "releaseId": "research-200-20260914", "baselineLedgerSha256": "8bdd406b3e20ae22357644499e622922c670ff11010df0478c70c23b38902108", "c24DeltaSha256": "b0b96144d1d3397e54a61c3d706ff2da5920fe7617e3bef50407149cb97d9d62", "generatorSha256": "25de659e9852503508e7c27d8a31773b8da5d6310531b1e3699d18cc94319929" }, "priorScopeNote": "4项已列贡献的研究估分，含4项暂估。账本覆盖有限的主要成果，尚未穷尽生涯。M与归功份额是可修订的评估判断；未覆盖经历和负面影响不按零处理。", "rank": 15 }