FRACTIONS IN THE SUAN SHU SHU (CHINA, BEGINNING OF THE 2ND CENTURY BCE) - Inalco - Institut National des Langues et Civilisations Orientales Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2016

FRACTIONS IN THE SUAN SHU SHU (CHINA, BEGINNING OF THE 2ND CENTURY BCE)

西漢出土文獻《算數書》分數表達

Résumé

The "Suàn Shù Shū" contains 301 instances of regular expressions for fractions. They can be "mono-dimensional" (formed with one integer name only) for unit fractions, "bidimensional" (with two integer names) for both unit and non-unit fractions, or lexicalized only for 1/3, 1/2 and 2/3. The present paper gives a complete description of the diversity of these forms. Bidimensional expressions are predicative phrases: the name "n fēn" of a unit fraction 1/n acts as subject and the numerator's name as predicate; according to the syntactic context, the morpheme zhī can be used as an optional marker of this predicative relation.
西漢出土文獻《算數書》中表達分數的短語有301例。本文全面描述該書中的那些短語。在文中,我把它們定義為“一維短語(即包括唯一一個整數名)”和“二維短語(即包括兩個整數名)”,前者表達單位分數,後者表達單位和非單位分數,除此之外還有三個詞彙化的短語專門用於表達1/3、1/2和2/3。在二維短語中,單位分數1/n作為短語的主語表達分母,而表達分子的那個數名作為短語的謂語,根據語境,“之”字可作為短語標誌放在主謂語之間。
Fichier principal
Vignette du fichier
Anicotte 2017_Fractions in the Suan shu shu_preprint v2.pdf (275.5 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-01393062 , version 1 (06-11-2016)
hal-01393062 , version 2 (16-12-2016)
hal-01393062 , version 3 (06-02-2017)
hal-01393062 , version 4 (30-03-2017)

Licence

Paternité

Identifiants

Citer

Rémi Anicotte. FRACTIONS IN THE SUAN SHU SHU (CHINA, BEGINNING OF THE 2ND CENTURY BCE). 2016. ⟨hal-01393062v2⟩
556 Consultations
218 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More