일의성

English translation: Uniqueness

16:11 Jan 12, 2019
Korean to English translations [PRO]
Science - Mathematics & Statistics
Korean term or phrase: 일의성
수의 구조를 알려 주는 소인수분해의 일의성

Does this mean restriction? Limitation?
Bryan Lahey
Canada
Local time: 05:17
English translation:Uniqueness
Explanation:
Standard Korean Language Dictionary defines 일의성 as a characteristic in which only one can satisfy a certain condition.(어떤 조건을 채우는 것이 오직 하나밖에 없는 성질) and I would translate 일의성 as Uniqueness

Also I think that is correct because in number theory, it is called Unique prime-factorization

For example, Uniqueness of Integer Solution of Linear Equations can be translated as 일차 방정식 해의 일의성

Selected response from:

Haemin Park
Canada
Local time: 05:17
Grading comment
Very helpful explanation. Thank you Haemin!
4 KudoZ points were awarded for this answer



Summary of answers provided
5 +1The uniqueness of prime factorization
Lois Yang
5univocity
Leo Olivas
4Uniqueness
Haemin Park
3Unicity (or property of uniqueness)
Steven S. Bammel, PhD


  

Answers


14 mins   confidence: Answerer confidence 3/5Answerer confidence 3/5
Unicity (or property of uniqueness)


Explanation:
일의성 does not mean restriction or limitation. Rather, it refers to the property of uniqueness of the set of factors in the factorization of prime factors.

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Note added at 16 mins (2019-01-12 16:27:19 GMT)
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Correction: factorization of prime factors => factorization of prime numbers

Steven S. Bammel, PhD
United States
Local time: 11:17
Native speaker of: Native in EnglishEnglish
PRO pts in category: 4
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55 mins   confidence: Answerer confidence 4/5Answerer confidence 4/5
Uniqueness


Explanation:
Standard Korean Language Dictionary defines 일의성 as a characteristic in which only one can satisfy a certain condition.(어떤 조건을 채우는 것이 오직 하나밖에 없는 성질) and I would translate 일의성 as Uniqueness

Also I think that is correct because in number theory, it is called Unique prime-factorization

For example, Uniqueness of Integer Solution of Linear Equations can be translated as 일차 방정식 해의 일의성



Example sentence(s):
  • 일차 방정식 해의 <b>일의성</b> (<b>Uniqueness</b> of Integer Solution of Linear Equations)
  • http://pages.cs.wisc.edu/~ferris/techreports/DMI09-01.pd
Haemin Park
Canada
Local time: 05:17
Works in field
Native speaker of: Korean
PRO pts in category: 4
Grading comment
Very helpful explanation. Thank you Haemin!
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1 hr   confidence: Answerer confidence 5/5 peer agreement (net): +1
The uniqueness of prime factorization


Explanation:
It does not mean 'limitation' or 'Restriction'. According to the fundamental theorem of arithmetic, all natural numbers can be represented as a product of prime numbers in one way, and this is called 'the uniqueness of the factorial factorization (소인수분해의 일의성)'.


    https://en.wikipedia.org/wiki/Fundamental_theorem_of_arithmetic#Elementary_proof_of_uniqueness
Lois Yang
South Korea
Local time: 18:17
Native speaker of: Native in KoreanKorean

Peer comments on this answer (and responses from the answerer)
agree  Jungho Jo: It is about "unique factorization theorem (UFT)." Also, refer to https://en.wikipedia.org/wiki/Prime_number. ex) Some proofs of the uniqueness of prime factorizations are based on Euclid's lemma.
8 hrs
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21 hrs   confidence: Answerer confidence 5/5
univocity


Explanation:
After reviewing several academic papers containing this word, "univocity" seems to me the most common equivalent.

Also, the Naver Dictionary Korean has the definition "as having one meaning only," which is consistent with the English definition for this word.



Example sentence(s):
  • 들뢰즈 존재론에서 일의성 개념의 수립
  • 스콜라철학의 일의성 이론의 두 버전 -둔스 스코투스와 마이스터 에크하르트의 일의성이론을 중심으로

    Reference: http://kiss.kstudy.com/thesis/thesis-view.asp?key=3190751
    https://ko.dict.naver.com/#/search?query=%EC%9D%BC%EC%9D%98%EC%84%B1&range=all
Leo Olivas
South Korea
Local time: 18:17
Native speaker of: Native in EnglishEnglish
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