분수,fraction

Difference between r1.15 and the current

@@ -1,10 +1,44 @@
[[분자,numerator]]
[[분모,denominator]]
or 피제수, 제수
 
[[분모,denominator]] <- esp for '''분수'''용어?
or 피제수, 제수 <- esp for [[나눗셈,division]] 용어? (내생각)
 
[[공통분모,common_denominator]] =공통분모,common_denominator =,common_denominator 공통분모 common_denominator {}
 
통분
NN:통분
KmsK:통분
 
약분 - curr [[캔슬레이션,cancellation]]
KmsK:약분
 
밀접: [[비,ratio]]? =,ratio { https://www.britannica.com/science/ratio https://simple.wikipedia.org/wiki/Ratio }

<<tableofcontents>>
= Sub =

== arithmetic fraction ==
'''arithmetic fraction'''
산술적분수?
WtEn:arithmetic_fraction
 
Up: [[산술,arithmetic]]
 
== algebraic fraction ==
'''algebraic fraction'''
대수적분수?
 
WtEn:algebraic_fraction
 
[[WpSp:Algebraic_fraction]]
= https://simple.wikipedia.org/wiki/Algebraic_fraction
 
[[WpEn:Algebraic_fraction]]
= https://en.wikipedia.org/wiki/Algebraic_fraction
([[Date(2023-10-26T12:24:23)]] 첫문단) "In algebra, an algebraic fraction is a fraction whose numerator and denominator are algebraic expressions.
Two examples of algebraic fractions are $\frac{3x}{x^2+2x-3}$ and $\frac{\sqrt{x+2}}{x^2-3}.$
Algebraic fractions are subject to the same laws as [[arithmetic fraction]]s. { arithmetic_fraction }
== 기약분수 irreducible fraction ==
https://namu.wiki/w/기약분수?from=진분수
irreducible fraction
@@ -119,6 +153,16 @@
Ndict:부분분수분해
Ggl:부분분수분해

분수 계산 - [[계산,calculation]]. 생각대로 대충적음
[[덧셈,addition]] [[뺄셈,subtraction]] : [[분모,denominator]]를 통일하고 ..
[[곱셈,multiplication]] : 쉽다. 분자 분모 각각..
[[나눗셈,division]] : 뒤의 [[역수,reciprocal]]를 곱해주는걸로.
그러고보니 분자=[[하나,one]]인 분수([[이집트_분수,Egyptian_fraction]] WtEn:Egyptian_fraction = [[단위분수,unit_fraction]] WtEn:unit_fraction )는 분모의 [[역수,reciprocal]]랑 완전 동일...
약분하기 - [[단순화,simplification]] [[리덕션,reduction]] [[약분,reduction]] [[약분,yakbun]]
...
 
분수
----
[[Namu:분수(수학)]]
= https://namu.wiki/w/분수(수학)
@@ -128,3 +172,21 @@
= https://librewiki.net/wiki/분수_(수학)
= https://librewiki.net/wiki/분수_%28수학%29

[[WpKo:분수_(수학)]]
= https://ko.wikipedia.org/wiki/분수_(수학)
 
[[WpSp:Fraction_(mathematics)]]
= https://simple.wikipedia.org/wiki/Fraction_(mathematics)
 
[[WpEn:Fraction]]
= https://en.wikipedia.org/wiki/Fraction
 
[[WpJa:分数]]
= https://ja.wikipedia.org/wiki/分数
 
https://www.britannica.com/science/fraction
 
https://encyclopediaofmath.org/wiki/Fraction
 
----
Up: [[산술,arithmetic]]




분모,denominator <- esp for 분수용어?
or 피제수, 제수 <- esp for 나눗셈,division 용어? (내생각)

공통분모,common_denominator =공통분모,common_denominator =,common_denominator 공통분모 common_denominator {}


1. Sub


1.1. arithmetic fraction

arithmetic fraction
산술적분수?
WtEn:arithmetic_fraction


1.2. algebraic fraction

algebraic fraction
대수적분수?



WpEn:Algebraic_fraction
= https://en.wikipedia.org/wiki/Algebraic_fraction
(2023-10-26 첫문단) "In algebra, an algebraic fraction is a fraction whose numerator and denominator are algebraic expressions.
Two examples of algebraic fractions are $\displaystyle \frac{3x}{x^2+2x-3}$ and $\displaystyle \frac{\sqrt{x+2}}{x^2-3}.$
Algebraic fractions are subject to the same laws as arithmetic fractions. { arithmetic_fraction }

1.4. 가약분수

1.5. 연분수 continued fraction


https://namu.wiki/w/연분수 continued fraction
  1. 근사분수 convergents
  2. 여러 무리수의 연분수 전개
https://librewiki.net/wiki/연분수


1.5.1. 연분수전개



전개,expansion (VG: 전개,expansion )
continued_fraction_expansion?

1.6. 가분수 / 진분수 / 대분수 / 번분수 (여기 나열할 필요 있나...)

1.7. 부분분수


1.8. field of fractions 분수체

field_of_fractions
{
field of fractions
분수체

MKL
ring_of_fractions
integral_domain
ring_of_integers
rational_field
field_of_fractions
polynomial_ring

Inter:





QQQ fraction_field 라고 해도 ok?
WpEn:fraction_field -> redirected.
Ggl:fraction.field

Up:
체,field
}


2. MKL

2.1. division

나눗셈,division =나눗셈,division =,division 나눗셈 division
{
//via KmsE:div일부



[https]수학백과 나눗셈 {
에서
을 나누어지는 수(dividend),
을 나누는 수(divisor)라고 하며,
는 ( 을 으로 나눈) 몫(quotient)이라고 한다.


}

2.2. cancellation

cancellation