结构九章 Jiuzhang of Structure 偏–合–调–均 A Structural Reconstruction of Harmonization Mathematics

Jiuzhang Suanshu is not just a mathematical classic; it is a pre-modern system of structural reasoning. In this book, we reconstruct the Nine Chapters as nine structural collapse models, each governed by a four-stage harmonization logic: Residual (偏piān), Aggregation (合hé), Local Harmonization (调tiáo), and Global Collapse Convergence (均 jūn). In this context, ”collapse” refers to a structural-informational convergence, not a physical collapse.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-06-05
DOI
https://doi.org/10.5281/zenodo.15605386
Primary Topic
History and Theory of Mathematics
Type
article
Field-Weighted Citation Impact
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article

结构九章 Jiuzhang of Structure 偏–合–调–均 A Structural Reconstruction of Harmonization Mathematics

Zenodo (CERN European Organization for Nuclear Research)
History and Theory of Mathematics
article

结构九章 Jiuzhang of Structure 偏–合–调–均 A Structural Reconstruction of Harmonization Mathematics

article en

Abstract

Jiuzhang Suanshu is not just a mathematical classic; it is a pre-modern system of structural reasoning. In this book, we reconstruct the Nine Chapters as nine structural collapse models, each governed by a four-stage harmonization logic: Residual (偏piān), Aggregation (合hé), Local Harmonization (调tiáo), and Global Collapse Convergence (均 jūn). In this context, ”collapse” refers to a structural-informational convergence, not a physical collapse.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 59%
History and Theory of Mathematics
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结构九章 Jiuzhang of Structure 偏–合–调–均 A Structural Reconstruction of Harmonization Mathematics · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS