Difference between r1.1 and the current
@@ -1,8 +1,136 @@
표현
#noindex
<<tableofcontents>>
= Sub =
== empty sum ==
empty_sum
https://oeis.org/wiki/Empty_sum
"emtpy sum"
Ggl:"emtpy sum"
== TODO SECTIONIFY BELOW ==
[[유한합,finite_sum]]
[[무한합,infinite_sum]]
{
구체수학 02.합.07.무한합 - 기계인간 John Grib
https://johngrib.github.io/wiki/study/concrete-math/02-sums-07/
}
[[부분합,partial_sum]] =,partial_sum . partial_sum
{
WtEn:partial_sum
[[VG:부분합,partial_sum]]
Up: [[부분,part]] [[합,sum]]
}
[[direct_sum]] =,direct_sum . direct_sum
{
direct sum
직접합
직합
cmp: 직접곱 직곱 direct_product [[direct_product]]
WtEn:direct_sum
https://encyclopediaofmath.org/wiki/Direct_sum
KmsE:"direct sum"
Ndict:"direct sum"
Up: [[direct]] [[합,sum]]
}
[[가중합,weighted_sum]] - [[Srch:가중합,weighted_sum]] Srch:weighted_sum VG:weighted_sum
[[connected_sum]] =,connected_sum =,connected_sum . connected_sum
{
connected_sum
WtEn:connected_sum ?
connected sum
번역들
연결된 합 ... KmsE:"connected sum"
연결합
연산자: + 대신 # ?
[[연결,connection]]?
[[위상수학,topology]]?
https://ko.wikipedia.org/wiki/연결합
https://en.wikipedia.org/wiki/Connected_sum
https://ja.wikipedia.org/wiki/連結和
"connected sum"
Ndict:"connected sum"
Ggl:"connected sum"
}
[[형태학,morphology]]에서
[[민코프스키_합,Minkowski_sum]]: [[민코프스키_덧셈,Minkowski_addition]]의 결과?
=민코프스키_덧셈,Minkowski_addition =,Minkowski_addition 민코프스키_덧셈 Minkowski_addition
{
Minkowski addition
WtEn:Minkowski_addition ?
https://ko.wikipedia.org/wiki/민코프스키_덧셈
WpSp:Minkowski_addition ?
WpEn:Minkowski_addition = https://en.wikipedia.org/wiki/Minkowski_addition
"Minkowski addition"
Ggl:"Minkowski addition"
}
[[Blaschke_sum]] =,Blaschke_sum =,Blaschke_sum . Blaschke_sum
{
Blaschke sum
WpEn:Blaschke_sum = https://en.wikipedia.org/wiki/Blaschke_sum
"Blaschke sum"
Ggl:"Blaschke sum"
}
ADDHERE
= 표현 =
sumsummation
== sum vs summation ==
NdEn:sum
NdEn:summation
WtEn:sum
WtEn:summation
Naver:"sum summation 차이"
Bing:"sum summation 차이"
Ggl:"sum summation 차이"
Bing:"sum summation meaning difference"
Ggl:"sum summation meaning difference"
(cf, misc. 여러 표현들과 그 공식번역)
[[Date(2023-09-12T20:59:51)]]
KmsE:summa - 한페이지
KmsE:sum - 76개
= Compare: =
[[곱,product]]다음수(다음수연산 다음수연산자 [[successor]] =,successor . successor Srch:successor WtEn:successor#Noun (4.) Ggl:"successor+operator" Ndict:다음수연산 Naver:다음수연산 Bing:다음수연산 Ggl:다음수연산 ... 의 결과) < '''합 sum summation''' < 곱 < 지수 < 하이퍼연산(의 결과) < ....
|| 연산: ||다음수연산[[br]]~~WtEn:successor_operator~~[* [[Date(2023-09-12T20:59:51)]]][[br]]~~WtEn:successor_operation~~[* ''eodem die''][[br]]Ggl:"successor operator" 의 최상단 결과는 WpEn:Successor_function 이다.([[Date(2023-09-12T20:59:51)]]) [[br]] Naver:"successor operator" Ggl:"다음수연산" Bing:"다음수연산" Naver:다음수연산 ||[[덧셈,addition]] ||[[곱셈,multiplication]] ||[[지수,exponentiation]], [[거듭제곱,power]] [[멱,power]] ||[[테트레이션,tetration]] Ggl:테트레이션 Ggl:tetration Naver:테트레이션 Naver:tetration ||... see WtEn:hyperoperation WpSp:Hyperoperation WpKo:하이퍼연산 Ndict:하이퍼연산 Ggl:하이퍼연산 .... ||
|| 결과: ||다음수 / WtEn:successor#Noun (4.) ||'''합,sum''' ||[[곱,product]] ||[[지수,exponentiation]]? power ? 위와 같음? [[br]] WtEn:exponentiation [[br]] WtEn:power [[br]] [[exponent]] WtEn:exponent 는 a^b 에서 b인것같고... chk||(Ggl:"테트레이션 연산의 결과" Naver:"테트레이션 연산의 결과" Bing:"테트레이션 연산의 결과" Ggl:"word for the result of tetration" Bing:"word for the result of tetration" ) ||(Ggl:"하이퍼연산의 결과" Naver:"하이퍼연산의 결과" Bing:"하이퍼연산의 결과" ...?) ||
||반대연산(inverse? converse? reverse? 확실히) ||이전수연산? WtEn:predecessor_operator WtEn:predecessor_operation ||[[뺄셈,subtraction]] ||[[나눗셈,division]] ||[[로그,logarithm]](cur [[로그,log]] [[VG:로그,log]] ||bbbbbbbbbbbbbbb ||ccccccccccccccccc ||
||반대연산의 결과: ||하나적은수, 앞의수, .. WtEn:predecessor ?||( Naver:subtrahend 아님, 저건 빼는수, a-b에서 b임.) 차, [[차이,difference]], [[차분,difference]] ||[[몫,quotient]] ||로그값? 암튼 로그연산의 결과. .....또는 역수? reciprocal ? Naver:"지수 역연산" Ggl:"지수 역연산" ||aaaaaaaaaaaa ||(Ggl:"result of inverse hyperoperation" ?? Ggl:"result of anti-hyperoperation"??? Ggl:"inverse.hyperoperation converse.hyperoperation reverse.hyperoperation" ....정확한 표현? Ggl:"하이퍼연산의 역연산" Naver:"하이퍼연산의 역연산" Bing:"하이퍼연산의 역연산" ) ||
rel.
[[산술,arithmetic]]
[[arithmetical_hierarchy]] Srch:arithmetical_hierarchy
----
https://mathworld.wolfram.com/Sum.html
1.2. TODO SECTIONIFY BELOW ¶
유한합,finite_sum
무한합,infinite_sum
{
구체수학 02.합.07.무한합 - 기계인간 John Grib
https://johngrib.github.io/wiki/study/concrete-math/02-sums-07/
}
무한합,infinite_sum
{
구체수학 02.합.07.무한합 - 기계인간 John Grib
https://johngrib.github.io/wiki/study/concrete-math/02-sums-07/
}
cmp: 직접곱 직곱 direct_product direct_product
connected_sum =,connected_sum =,connected_sum . connected_sum
{
connected_sum
connected_sum ?
connected sum
{
connected_sum
connected_sum ?
connected sum
연산자: + 대신 # ?
https://ko.wikipedia.org/wiki/연결합
https://en.wikipedia.org/wiki/Connected_sum
https://ja.wikipedia.org/wiki/連結和
https://en.wikipedia.org/wiki/Connected_sum
https://ja.wikipedia.org/wiki/連結和
형태학,morphology에서
민코프스키_합,Minkowski_sum: 민코프스키_덧셈,Minkowski_addition의 결과?
=민코프스키_덧셈,Minkowski_addition =,Minkowski_addition 민코프스키_덧셈 Minkowski_addition
{
Minkowski addition
민코프스키_합,Minkowski_sum: 민코프스키_덧셈,Minkowski_addition의 결과?
=민코프스키_덧셈,Minkowski_addition =,Minkowski_addition 민코프스키_덧셈 Minkowski_addition
{
Minkowski addition
https://ko.wikipedia.org/wiki/민코프스키_덧셈
Minkowski_addition ?
Minkowski_addition = https://en.wikipedia.org/wiki/Minkowski_addition
Minkowski_addition ?
Minkowski_addition = https://en.wikipedia.org/wiki/Minkowski_addition
ADDHERE
2.1. sum vs summation ¶
3. Compare: ¶
다음수(다음수연산 다음수연산자 successor =,successor . successor successor successor#Noun (4.) successor operator 다음수연산 다음수연산 다음수연산 다음수연산 ... 의 결과) < 합 sum summation < 곱 < 지수 < 하이퍼연산(의 결과) < ....
산술,arithmetic
arithmetical_hierarchy arithmetical_hierarchy