인버스,inverse

Difference between r1.22 and the current

@@ -1,5 +1,15 @@
#noindex
이게 명사형이고, 동사형이 '''invert''' v. 맞는지? chk
invert한 결과가 inverse인지? CHK
 
번역들
[[역,inverse]]
뜻이 밀접한 표현들:
* [[반대,opposite]]
* complement - [[complement]]
* negativity ?
* [[부정,negation]]
* [[inversion]] Srch:inversion NdEn:inversion Ndict:inversion Ggl:inversion
[[반전,inversion]]? KmsE:inversion KpsE:inversion
[[Moebius_inversion]] =,Moebius_inversion . Moebius_inversion
@@ -13,7 +23,14 @@

번역은 ? 가역성 [[가역성]] Ggl:가역성 Ndict:가역성 으로 한다면,
* 일단 항상 '역=inverse'이 아니라는 것 자체가 문제다.
* reversibility ( NdEn:reversibility Ndict:reversibility Ggl:reversibility ) / .... 의 번역과 겹친다. .... 잠깐 검색결과 보면 거의 항상 reversibility로 쓰이고 있다
* reversibility ( NdEn:reversibility Ndict:reversibility Ggl:reversibility ) / .... 의 번역과 겹친다. .... 잠깐 검색결과 보면 거의 항상 reversibility로 쓰이고 있다.
그리하여 한국어를 다시 영어로 번역할 때의 문제나 가역성을 검색할 때의 문제 등등이 많이 생기므로 invertibility를 가역성이라 하기 상당히 껄끄럽지만
다음 pagenames 거의 정해졌고 (가장 많이 쓰이는 한국어 표현들이기도 함.)
[[invertible_element]] - 아마도 가역원 or 가역원소 으로 될듯 / cf. [[역원,inverse_element](표준+많이 쓰이는 표현) ([[역원소,inverse_element]] 도 생각중)
[[가역함수,invertible_function]]
[[가역행렬,invertible_matrix]]
...
그렇다면 어떤 번역이 최선인지? TBD. [[Date(2023-11-02T04:07:47)]]

----
Sub:
@@ -49,6 +66,9 @@
element - 원 원소 ...
[[inverse_element]] =,inverse_element =,inverse_element . inverse_element
WtEn:inverse_element
https://groupprops.subwiki.org/wiki/Inverse_element
https://ko.wikipedia.org/wiki/역원
[[https://terms.naver.com/entry.naver?docId=3338473&cid=47324&categoryId=47324 수학백과: 역원]]

MKL:
[[identity_element]] =,identity_element . identity_element Srch:identity_element
@@ -66,6 +86,7 @@
{
[[WtEn:multiplicative_identity]] = https://en.wiktionary.org/wiki/multiplicative_identity#English
Srch:multiplicative_identity
https://oeis.org/wiki/Multiplication#Multiplicative_identity
}
}
[[invertible_element]] =,invertible_element =,invertible_element . invertible_element Srch:invertible_element
@@ -135,9 +156,28 @@
역함수 용어? https://en.wikipedia.org/wiki/Inverse_function#Partial_inverses

[[inverse_matrix]] =,inverse_matrix . inverse_matrix Srch:inverse_matrix
WtEn:inverse_matrix
MKL [[invertible_matrix]] =,invertible_matrix . invertible_matrix Srch:invertible_matrix { WtEn:invertible_matrix https://simple.wikipedia.org/wiki/Invertible_matrix https://en.wikipedia.org/wiki/Invertible_matrix }
{
[[WtEn:inverse_matrix]] = https://en.wiktionary.org/wiki/inverse_matrix
 
MKL 
[[항등행렬,identity_matrix]] =항등행렬,identity_matrix =,identity_matrix . 항등행렬 identity_matrix 
{

https://en.wiktionary.org/wiki/identity_matrix
identity matrix
MKL [[단위행렬,unit_matrix]] https://en.wiktionary.org/wiki/unit_matrix
isa [[diagonal_matrix]] =,diagonal_matrix =,diagonal_matrix . diagonal_matrix { '''diagonal matrix''' https://en.wiktionary.org/wiki/diagonal_matrix https://en.wikipedia.org/wiki/Diagonal_matrix Ggl:"define: diagonal matrix" }
 
}
[[invertible_matrix]] =,invertible_matrix . invertible_matrix
{
[[WtEn:invertible_matrix]] =
https://simple.wikipedia.org/wiki/Invertible_matrix https://en.wikipedia.org/wiki/Invertible_matrix
}
Srch:invertible_matrix
}
 
[[inverse_problem]] - isa [[문제,problem]] .... [[문제,problem#s-1.3]]

inverse_
inverse_
@@ -155,7 +195,19 @@

= MKL =

isomorphism =,isomorphism . isomorphism
이걸 하는 기계는 ([[장치,device]] [[소자]] ...는)
[[인버터]] [[inverter]]
 
특히 [[게이트,gate]] [[논리게이트,logic_gate]]는 [[NOT_gate]]와 같음
[[WpEn:Inverter_(logic_gate)]] = https://en.wikipedia.org/wiki/Inverter_(logic_gate)
TOC전까지([[Date(2023-11-18T01:20:42)]]):
"In digital_logic, an '''inverter or NOT gate''' is a logic_gate
which implements logical_negation. // [[부정,negation]] > [[논리부정,logical_negation]]? WtEn:logical_negation
It outputs a bit opposite of the bit that is put into it.
The bits are typically implemented as two differing [voltage_level]s."
 
----
[[isomorphism]] =,isomorphism =,isomorphism . isomorphism
"a structure-preserving mapping between two structures
of the same type
that can be reversed by an inverse_mapping.
@@ -164,8 +216,10 @@
https://en.wikipedia.org/wiki/Isomorphism

opposite
[[opposite]]

reciprocal
[[reciprocal]] ... <- 이 page에 임시작성중
https://simple.wikipedia.org/wiki/Reciprocal



이게 명사형이고, 동사형이 invert v. 맞는지? chk
invert한 결과가 inverse인지? CHK

번역들
역,inverse

뜻이 밀접한 표현들:

// function, map, morphism
inverse_image = preimage =,inverse_image =,preimage .
역상 원상 ..
프리이미지 ?
원이미지 ??
전이미지 ?
역이미지 ?

inverse_image WtEn:inverse_image WpSp:inverse_image WpEn:inverse_image iiiiiiiiiiiii
preimage WtEn:preimage WpSp:preimage WpEn:preimage jjjjjjjjjjjjjjj

Syn.
inverse image = preimage[1]
Rel:
argument - 아규먼트,argument
fiber =,fiber { KmsE:fiber - '파이버, 올' 파이버,fiber / 올,fiber (같은영단어 섬유,fiber ...) "fiber"}
Twins:
https://planetmath.org/InverseImage
https://mathworld.wolfram.com/Pre-Image.html
https://ncatlab.org/nlab/show/inverse image - "This page is about inverse images of sheaves(sheaf KmsE:sheaf "층, 다발" WtEn:sheaf ...) and related subjects. For the set-theoretic operation, see preimage."
https://ncatlab.org/nlab/show/preimage
Up: 이미지,image > 상,image

// algebra
element - 원 원소 ...
inverse_element =,inverse_element =,inverse_element . inverse_element
WtEn:inverse_element
https://groupprops.subwiki.org/wiki/Inverse_element
https://ko.wikipedia.org/wiki/역원
[https]수학백과: 역원

MKL:
identity_element =,identity_element . identity_element Srch:identity_element
{
WtEn:identity_element

Sub: additive_identity =,additive_identity . additive_identity
{
WtEn:additive_identity = https://en.wiktionary.org/wiki/additive_identity
https://mathworld.wolfram.com/AdditiveIdentity.html
https://en.wikipedia.org/wiki/Additive_identity
Srch:additive_identity
}
Sub: multiplicative_identity =,multiplicative_identity =,multiplicative_identity . multiplicative_identity
{
WtEn:multiplicative_identity = https://en.wiktionary.org/wiki/multiplicative_identity#English
Srch:multiplicative_identity
https://oeis.org/wiki/Multiplication#Multiplicative_identity
}
}
invertible_element =,invertible_element =,invertible_element . invertible_element Srch:invertible_element
{
invertible element
WtEn:invertible_element
Ndict:invertible element
Ggl:invertible element
"invertible element"
}

left_inverse :
left_inverse_element ....''즉 줄임말? 그렇다면 left_inverse 중에 element가 아닌 뭐 그런거 등등 있는지 chk. 있을텐데. WtEn:left_inverse WtEn:left_inverse_element Ggl:left inverse right inverse
right_inverse :
right_inverse_element

곱셈의 inverse. 즉 역수=reciprocal. // 관련: 분수,fraction 나눗셈,division 몫,quotient.
multiplicative_inverse =,multiplicative_inverse =,multiplicative_inverse . multiplicative_inverse
{
multiplicative inverse
= reciprocal reciprocal =,reciprocal =,reciprocal . reciprocal { 이건 (당연한 역수,reciprocal Ndict:역수 KmsK:역수 Ggl:역수 KmsE:reciprocal NdEn:reciprocal Bing:reciprocal 뜻 Ggl:reciprocal 뜻 ....? chk .... 물론) 상호, 서로, ....쪽의 의미도 있는데 나중에 적당한 pagename TBD.
WpSp:Reciprocal = https://simple.wikipedia.org/wiki/Reciprocal

WtEn:multiplicative_inverse = https://en.wiktionary.org/wiki/multiplicative_inverse

See also / cmp: additive_inverse multiplicative_identity

WpSp:Multiplicative_inverse (2023-10-26:) redir to WpSp:Reciprocal
WpEn:Multiplicative_inverse = https://en.wikipedia.org/wiki/Multiplicative_inverse

inverse_square
inverse_square_law
inverse-square_law
Ggl:역제곱
Ggl:역제곱 법칙
비례가 y∝x라면
위의 multiplicative_inverse : y∝x−1 에서 숫자 y이고
이건 y∝x−2 에서 그 현상/법칙 자체....?


additive_inverse =,additive_inverse . additive_inverse
additive inverse
WtEn:additive_inverse = https://en.wiktionary.org/wiki/additive_inverse#English
https://ko.wikipedia.org/wiki/덧셈_역원
https://simple.wikipedia.org/wiki/Opposite_number (Redirected from Additive inverse)
https://en.wikipedia.org/wiki/Additive_inverse

https://en.wikipedia.org/wiki/Inverse_element

inverse_function =,inverse_function . inverse_function
역함수

WtEn:inverse_function

Sub: 역함수정리 =역함수정리 .... [https]수학백과 역함수 정리 https://mathworld.wolfram.com/InverseFunctionTheorem.html ... Ndict:역함수정리 Ggl:역함수정리
// https://en.wikipedia.org/wiki/Inverse_function#Left_and_right_inverses
left_inverse :
left_inverse_function https://en.wikipedia.org/wiki/Inverse_function#Left_inverses
right_inverse :
right_inverse_function https://en.wikipedia.org/wiki/Inverse_function#Right_inverses
https://mathworld.wolfram.com/InverseFunction.html
https://ko.wikipedia.org/wiki/역함수
https://simple.wikipedia.org/wiki/Inverse_function
https://en.wikipedia.org/wiki/Inverse_function

partial_inverse =,partial_inverse . partial_inverse
역함수 용어? https://en.wikipedia.org/wiki/Inverse_function#Partial_inverses

inverse_matrix =,inverse_matrix . inverse_matrix Srch:inverse_matrix
{
WtEn:inverse_matrix = https://en.wiktionary.org/wiki/inverse_matrix

MKL
항등행렬,identity_matrix =항등행렬,identity_matrix =,identity_matrix . 항등행렬 identity_matrix
{




inverse_
inverse_
inverse_


generalized_inverse
https://en.wikipedia.org/wiki/Generalized_inverse
일반화,generalization

_inverse
_inverse
_inverse


[edit]

MKL


이걸 하는 기계는 (장치,device 소자 ...는)
인버터 inverter

특히 게이트,gate 논리게이트,logic_gate는 NOT_gate와 같음
WpEn:Inverter_(logic_gate) = https://en.wikipedia.org/wiki/Inverter_(logic_gate)
TOC전까지(2023-11-18):
"In digital_logic, an inverter or NOT gate is a logic_gate
which implements logical_negation. // 부정,negation > 논리부정,logical_negation? WtEn:logical_negation
It outputs a bit opposite of the bit that is put into it.
The bits are typically implemented as two differing voltage_levels."

isomorphism =,isomorphism =,isomorphism . isomorphism
"a structure-preserving mapping between two structures
of the same type
that can be reversed by an inverse_mapping.
Two mathematical structures are isomorphic if an isomorphism exists between them."(we)
https://simple.wikipedia.org/wiki/Isomorphism
https://en.wikipedia.org/wiki/Isomorphism

opposite
opposite

reciprocal
reciprocal ... <- 이 page에 임시작성중
https://simple.wikipedia.org/wiki/Reciprocal









[edit]

MKLINK 3 PAGES

다음 셋 Compare: 컨버스,converse 인버스,inverse 리버스,reverse

발음은 인벌스에 가깝게 들리지만... 아무튼.
MKL 컨버스,converse =컨버스,converse =,converse 컨버스 converse { kornorms 에서 converse -> 컨버스 확인. 2023-09-14
다음 셋 Compare: 컨버스,converse 인버스,inverse 리버스,reverse
} 리버스,reverse =리버스,reverse =,reverse 리버스 reverse { kornorms 에서 reverse -> 리버스 확인. 2023-09-14
Sub: reverse_engineering ...
다음 셋 Compare: 컨버스,converse 인버스,inverse 리버스,reverse
} contraposition or contrapositive reciprocal

역 =역, ... 이런 한국어들과도 MKLINK





WpSp:converse 33333333333
WpSp:inverse
WpSp:reverse

WpEn:converse 44444444444
WpEn:inverse
WpEn:reverse

converse
inverse
reverse

converse
inverse
reverse

converse
inverse
reverse

Naver:converse inverse reverse
Ggl:converse inverse reverse
Bing:converse inverse reverse
converse+inverse+reverse
converse+inverse+reverse

----
인버스,inverse Modified on 3:46 pm, April 24, 2024.
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