MATHEMATICS 數學
ABSTRACT SCIENCE OF QUANTITIES AND NUMBERS.
Modern Chinese Criteria
Hypernym
- SCIENCE SYSTEMATIC INVESTIGATION of a DEFINED GROUP of PHENOMENA. (anc: 14/0, child: 20)
- INVESTIGATE TRY SYSTEMATICALLY to UNDERSTAND. (anc: 13/0, child: 5)
- TRY ACT, BUT DOUBT WHETHER one WILL be SUCCESSFUL ACTING. (anc: 12/0, child: 9)
MATHEMATIK
Words (4 items)
九九之術 jiǔ jiǔ zhī shù MC: kjuwX kjuwX tsyi zywit OC: kuʔ kuʔ kljɯ ɢljud 2 Attributions
- Syntactic words
- NPabthe mathematical techniques of multiplicationCH
執數者 zhí shù zhě MC: tsyip srjuH tsyaeX OC: tjib sqros kljaʔ 1 Attribution
- Syntactic words
- NPmathematicianCH
算之綱紀 suàn zhī gāng jì OC: sqoons kljɯ kaaŋ kɯʔ MC: sʷɑn tɕɨ kɑŋ kɨ 0 Attributions
- 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.
算 suàn OC: sqoonʔ MC: sʷɑn 0 Attributions
- 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."