Difference between r1.35 and the current

@@ -54,7 +54,7 @@

'''inverse image = preimage'''[* https://proofwiki.org/wiki/Definition:Preimage/Mapping/Element]
Rel:
[[argument]] - [[아규먼트,argument]]

~~[[fiber]] =,fiber { KmsE:fiber - '파이버, 올'~~ [[파이버,fiber]] ~~/ [[올,fiber]] (같은영단어 [[섬유,fiber]] ...) "fiber"}~~

[[파이버,fiber]]

Twins:
https://planetmath.org/InverseImage
https://mathworld.wolfram.com/Pre-Image.html

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 inversion inversion inversion inversion

반전,inversion? inversion inversion

Moebius_inversion =,Moebius_inversion . Moebius_inversion
Möbius inversion
https://encyclopediaofmath.org/wiki/Möbius_inversion
invertibility (w)
invertibility = https://en.wiktionary.org/wiki/invertibility - invertible한. "The condition of being invertible." 그리하여
invertible = https://en.wiktionary.org/wiki/invertible 을 보면 "Able to be inverted, having an inverse."
즉 A의 invertibility 는,
A의 inverse(이를테면 A⁻¹로 자주 표기하는, 그런거)가 존재,existence하는지 여부? 즉 인버스,inverse를 갖는지 여부? / or 정의가능한지 여부?? ?? - 명확히. TODO

번역은 ? 가역성 가역성 가역성 가역성으로 한다면,
- 일단 항상 '역=inverse'이 아니라는 것 자체가 문제다.
- reversibility ( reversibility reversibility 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. 2023-11-02

Sub:
역삼각함수,inverse_trigonometric_function
역시스템,inverse_system
역쌍곡선함수,inverse_hyperbolic_function
//여기까지 via

inverse 2023-08-10

// function, map, morphism
inverse_image = preimage =,inverse_image =,preimage .

역상 원상 ..
프리이미지 ?
원이미지 ??
전이미지 ?
역이미지 ?

inverse_image

inverse_image

inverse_image iiiiiiiiiiiii
preimage

preimage

preimage jjjjjjjjjjjjjjj

Syn.
inverse image = preimage[1]
Rel:
argument - 아규먼트,argument
파이버,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 sheaf "층, 다발" 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

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

identity_element
{

identity_element

Sub: additive_identity =,additive_identity . additive_identity
{

additive_identity = https://en.wiktionary.org/wiki/additive_identity
https://mathworld.wolfram.com/AdditiveIdentity.html
https://en.wikipedia.org/wiki/Additive_identity

additive_identity

}
Sub: multiplicative_identity =,multiplicative_identity =,multiplicative_identity . multiplicative_identity
{

multiplicative_identity = https://en.wiktionary.org/wiki/multiplicative_identity#English

multiplicative_identity
https://oeis.org/wiki/Multiplication#Multiplicative_identity

}

}
invertible_element =,invertible_element =,invertible_element . invertible_element

invertible_element
{

invertible element

invertible_element

invertible element

invertible element
"invertible element"

}

left_inverse :
left_inverse_element ....''즉 줄임말? 그렇다면 left_inverse 중에 element가 아닌 뭐 그런거 등등 있는지 chk. 있을텐데.

left_inverse

left_inverse_element

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

역수

reciprocal

reciprocal 뜻

reciprocal 뜻 ....? chk .... 물론) 상호, 서로, ....쪽의 의미도 있는데 나중에 적당한 pagename TBD.

Reciprocal = https://simple.wikipedia.org/wiki/Reciprocal

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

See also / cmp: additive_inverse multiplicative_identity

Multiplicative_inverse (2023-10-26:) redir to

Reciprocal

Multiplicative_inverse = https://en.wikipedia.org/wiki/Multiplicative_inverse

inverse_square
inverse_square_law
inverse-square_law

역제곱

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

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

inverse_function

Sub: 역함수정리 =역함수정리 .... [https]

수학백과 역함수 정리 https://mathworld.wolfram.com/InverseFunctionTheorem.html ...

역함수정리

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

inverse_matrix
{

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

define: diagonal matrix }

}
invertible_matrix =,invertible_matrix . invertible_matrix
{

invertible_matrix =
https://simple.wikipedia.org/wiki/Invertible_matrix https://en.wikipedia.org/wiki/Invertible_matrix
}

invertible_matrix
}

inverse_problem - isa 문제,problem .... 문제,problem#s-1.3

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

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?

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

https://ko.wikipedia.org/wiki/인버스

Inverse_(mathematics)
= https://simple.wikipedia.org/wiki/Inverse_(mathematics)
= https://simple.wikipedia.org/wiki/Inverse_(mathematics)

Inverse
= https://simple.wikipedia.org/wiki/Inverse

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

inverse

[edit]