catenarianとは 意味・読み方・使い方

発音

• (Received Pronunciation) IPA: /ˌkætɪˈnɛə.ɹi.ən/
• (General American) IPA: /ˌkætəˈnɛ.ɹi.ən/
• 韻: -ɛəɹiən

形容詞

catenarian (comparative more catenarian, superlative most catenarian)

1. catenary; like a chain
   • 1821, Robert Stevenson, “Description of Bridges of Suspension”, in The Edinburgh philosophical journal, volume 5, page 249:

     At each joint of the three tiers of the catenarian chains respectively, one of the saddle pieces of cast-iron, formerly alluded to, are introduced.

2. (geometry) Shaped like a catenary; following the curve made by a chain or rope when suspended from both ends.
   • 1957, Bernard E. Jones, Freemason's Book of the Royal Arch, page 105:

     The curve so formed is a catenarian curve, and, when inverted, delineates the curve of a type of arch better able to resist forces of destruction than the earlier semicircular arch. Investigators who followed Galilei and studied the catenarian arch mathematically were able to show that a simple catenarian outline was formed by the chan suspeneded as already described, the length of the chain depending upon the required span and rise of the arch.

   a catenarian curve/arch

3. (ring theory) Having the property that every ascending chain of prime ideals eventually stabilizes, meaning that there is a finite length for the chains of prime ideals.
   • 2013, S.T. Chapman, Sarah Glaz, Non-Noetherian Commutative Ring Theory, page 162:

     Each universally catenarian domain is catenarian and, hence, LFD.