산술,arithmetic

Difference between r1.22 and the current

@@ -1,16 +1,32 @@
##=====산술,arithmetic =,arithmetic 산술 arithmetic
Sub:
[[modular_arithmetic]] =,modular_arithmetic =,modular_arithmetic . modular_arithmetic
[[모듈러산술,modular_arithmetic]] =모듈러산술,modular_arithmetic =,modular_arithmetic . 모듈러산술 modular_arithmetic
{
modular arithmetic
'''modular arithmetic'''

번역?
모듈러산술 (libre) (wk)
모듈산술 ?
[[module]] [[modular]] 와?
KmsE:"modular arithmetic" x 202407 ... Try KmsE:modular - 그냥 모듈러 가 대세. 모듈러산술 로 결정.

WtEn:modular_arithmetic
MKL
[[module]] [[modular]] 와? .... WtEn:module#Noun WtEn:modular#Noun
[[modulo]] [[모듈로,modulo]] esp [[congruence_modulo]] ... WtEn:modulo#Noun
https://ko.wikipedia.org/wiki/모듈로
https://en.wikipedia.org/wiki/Modulo

[[congruence]] 합동 // 합동관계 congruence_relation ? // 합동인 congruent adj. /
[[합동,congruence]] 
 
[[WtEn:modular_arithmetic]]
= https://en.wiktionary.org/wiki/modular_arithmetic
 
[[WpKo:모듈러_산술]]
= https://ko.wikipedia.org/wiki/모듈러_산술
 
[[WpEn:Modular_arithmetic]]
= https://en.wikipedia.org/wiki/Modular_arithmetic
 
[[합동,congruence]] // 합동관계 congruence_relation ? [[합동관계,congruence_relation]] // 합동인 congruent adj. /
[[정수,integer]]
[[나눗셈,division]] esp 정수나눗셈
[[나머지,remainder]]
@@ -180,21 +196,21 @@

= Topics =
[[산술연산,arithmetic_operation]]
[[반올림,rounding]] =,rounding =반올림,rounding 반올림 rounding
[[반올림,rounding]]
[[산술부호화,arithmetic_coding]] =산술부호화,arithmetic_coding =,arithmetic_coding 산술부호화 arithmetic_coding
{
KmsK:반올림
KmsE:rounding
w

https://ko.wikipedia.org/wiki/반올림
https://simple.wikipedia.org/wiki/Rounding
''(long and comprehensive)''
https://en.wikipedia.org/wiki/Rounding
'''arithmetic coding'''
산술부호화 산술코딩 산술적부호화 ...

[[WpKo:산술_부호화]] = https://ko.wikipedia.org/wiki/산술_부호화
[[WpEn:Arithmetic_coding]] = https://en.wikipedia.org/wiki/Arithmetic_coding
[[WpJa:算術符号]] = https://ja.wikipedia.org/wiki/算術符号

Ndict:반올림
Bing:반올림
Ggl:반올림
반올림
Up: [[엔트로피부호화,entropy_coding]]
WtEn:arithmetic_coding x 202407
}

----
@@ -204,4 +220,6 @@
https://en.wikipedia.org/wiki/Arithmetic
https://artofproblemsolving.com/wiki/index.php/Arithmetic
(del ok, [[Date(2023-11-27T14:29:43)]] 현재 very easy)
https://ncatlab.org/nlab/show/arithmetic
VG: 산술,arithmetic

Sub:
모듈러산술,modular_arithmetic =모듈러산술,modular_arithmetic =,modular_arithmetic . 모듈러산술 modular_arithmetic
{
modular arithmetic

번역?
모듈러산술 (libre) (wk)
모듈산술 ?
KmsE:modular arithmetic x 202407 ... Try KmsE:modular - 그냥 모듈러 가 대세. 모듈러산술 로 결정.





합동,congruence // 합동관계 congruence_relation ? 합동관계,congruence_relation // 합동인 congruent adj. /
정수,integer
나눗셈,division esp 정수나눗셈
나머지,remainder
디바이저,divisor



Examples:
5∖2=1
20∖7=6
0∖3=0
9∖8=1
22∖4=2

modulend \ modulator = modulus. <- 정수나눗셈,integer_division의 나머지,remainder와 같음.
}


}




Twin

https://librewiki.net/wiki/모듈러산술
mentions
잉여류 residue_class = 합동류 congruence_class // WtEn:residue_class WtEn:congruence_class
완전잉여계 complete_residue_system 완전잉여계(complete residue system)

https://artofproblemsolving.com/wiki/index.php/Modular_arithmetic


https://ko.wikipedia.org/wiki/모듈러_산술
{
첫문장 "수론정수론,number_theory에서 모듈러 산술(영어: modular arithmetic) 또는 합동 산술(合同算術)은 정수의 합과 곱을 어떤 주어진 수의 나머지에 대하여 정의하는 방법이다. 정수환의 몫환,quotient_ring $\displaystyle \mathbb {Z} /(n)$ 의 환,ring 구조로 생각할 수 있다."
}

KmsE:modular arithmetic x 2023-08-29
Ndict:modular arithmetic x 2023-08-29
Ggl:modular arithmetic
Bing:modular arithmetic
Naver:modular arithmetic
"modular arithmetic"
} // modular arithmetic


Robinson_arithmetic_Q
Robinson arithmetic Q



Naver:Robinson arithmetic
Ggl:Robinson arithmetic
"Robinson arithmetic"
}
Presburger_arithmetic =,Presburger_arithmetic =,Presburger_arithmetic . Presburger_arithmetic
{
WtEn:Presburger_arithmetic
https://en.wikipedia.org/wiki/Presburger_arithmetic
first-order_theory. (linked to: https://en.wikipedia.org/wiki/First-order_predicate_calculus)
peano보다 weaker.
peano와 달리 decidable.
}
affine_arithmetic =,affine_arithmetic =,affine_arithmetic . affine_arithmetic
{
WtEn:affine_arithmetic
https://en.wikipedia.org/wiki/Affine_arithmetic
}

구간산술,interval_arithmetic interval_arithmetic =,interval_arithmetic =,interval_arithmetic . interval_arithmetic
{
구간산술
구간,interval
오차,error, 측정,measurement오차, 반올림오차,rounding_error =,rounding_error =,rounding_error . rounding_error { 반올림오차 : 반올림,rounding 오차,error ... https://en.wiktionary.org/wiki/rounding_error rounding_error rounding error AKA round-off error, roundoff error }




...
"interval arithmetic"
Ggl:interval arithmetic
Ndict:interval arithmetic
}


cardinal_arithmetic =,cardinal_arithmetic =,cardinal_arithmetic . cardinal_arithmetic
{
기수산술 ???









arithmetic_fraction
arithmetic_
arithmetic_
arithmetic_
arithmetic_
arithmetic_
arithmetic_
arithmetic_
arithmetic_


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산술,arithmetic Modified on 6:51 pm, July 5, 2024.
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