MATHEMATICS  數學

ABSTRACT SCIENCE OF QUANTITIES AND NUMBERS.
Hypernym
  • SCIENCESYSTEMATIC INVESTIGATION of a DEFINED GROUP of PHENOMENA.
    • INVESTIGATETRY SYSTEMATICALLY to UNDERSTAND.
      • TRYACT, BUT DOUBT WHETHER one WILL be SUCCESSFUL ACTING.
        • ACTMOVE OR NOT MOVE CONFORMING to one's SELF:own DECIDE:decision....
Modern Chinese Criteria
數學

rough draft to BEGIN TO identify synonym group members for analysis, based on CL etc. 18.11.2003. CH ／

Words

九九之術  jiǔ jiǔ zhī shù MC: kjuwX kjuwX tsyi zywit OC: kuʔ kuʔ kljɯ ɢljudCH 2 AttributionsWD
    Syntactic words
  • NPabthe mathematical techniques of multiplicationCH
執數者  zhí shù zhě MC: tsyip srjuH tsyaeX OC: tjib sqros kljaʔCH 1 AttributionWD
    Syntactic words
  • NPmathematicianCH
算  suàn OC: sqoonʔ MC: sʷɑn 0 AttributionsWD
    Syntactic words
  • nabmathematical termCHEMLA 2003: (the art of computing with counting rods> computation>) mathematicsJZ, Liu Hui's comm: 1.9: 此其算之綱紀乎 "These, presumably, must be the guidelines/principles of mathematics."
算之綱紀  suàn zhī gāng jì OC: sqoons kljɯ kaaŋ kɯʔ MC: sʷɑn tɕɨ kɑŋ kɨ 0 AttributionsWD
    Syntactic words
  • NPabconceptThe Principles of MathematicsJZ, Liu Hui's comm: 1.9: 乘以散之 Multiply (e.g. numerators and denominators) in order to disaggregate (e.g. so as to reveal relevant units) things; 約以聚之 Simplify/divide in order to assemble them 齊同以通之 Align (e.g. so as to preserve the value of the fraction) and equalise (e.g. so as to create a common denominator) to make them homogeneous 此其算之綱紀乎 These, presumably, must be the principles of mathematics.Li Chunfeng Sui Shu, 律曆志上 resumes this crucial passage and links it explicitly to ALL the mathematical procedures introduced in JZ ：夫所謂率者，有九流焉。一曰方田，以禦田疇界域。。。皆乘以散之，除以聚之，齊同以通之，今有以貫之，則算數之方，盡於斯矣。 Note that basic addition and subtraction is not problematised/discussed explicitly in JZ or anywhere else in early mathematical literature: these operations were apparently taken to deserve no attention.

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