#noindex
## =,fixed_point =,fixpoint .
'''고정점 fixed point'''
AKA '''fixpoint'''

KmsE:"fixed point" { [[Date(2023-11-14T16:27:19)]] "fixed point = 고정점, 부동점" }
KpsE:"fixed point" { [[Date(2023-11-14T16:27:19)]] "fixed point = 고정점, 붙박이점" }

Zeta:고정점 x 2023-11
Zeta:부동점 x 2023-11

MathWorld:FixedPoint

WtEn:fixed_point

[[WpKo:고정점]] = https://ko.wikipedia.org/wiki/고정점
WpKo:부동점 (redir to 고정점)

WpSp:Fixed_point

WpEn:Fixed_point
(disambig. page)

[[WpEn:Fixed_point_(mathematics)]]
= https://en.wikipedia.org/wiki/Fixed_point_(mathematics)

[[WpJa:不動点]]
= https://ja.wikipedia.org/wiki/不動点


...
Ndict:"fixed point"
Ggl:"fixed point"

----
MKL
같은영어표현
[[고정소수점,fixed_point]] .... pagename rechk.
 [[fixed-point_arithmetic]] =,fixed-point_arithmetic =,fixed-point_arithmetic . fixed-point_arithmetic
 {
 고정소수점산술 ?
 WtEn:fixed-point_arithmetic ?
 등은 저기로.

 "fixed-point arithmetic"
 Ggl:"fixed-point arithmetic"
 }
저걸 저렇게 이름짓는다면
[[부동소수점,floating_point]] ? 과 대구가 맞는다 - [[VG:부동소수점,floating_point]]은 옛날에 이미 그렇게 이름지어짐.
 [[부동소수점산술,floating-point_arithmetic]] (?)
 [[부동소수점수,floating-point_number]] (?) (FPN)
 "floating-point arithmetic"
 Ggl:"floating-point arithmetic"

----
<<tableofcontents>>
= Sub (* = fixed point 또는 fixpoint) =
== least * ==
[[least_fixed_point]]
Ggl:"least fixed point"

== elliptic * ==
번역은 아마도
타원고정점 ??

MathWorld:EllipticFixedPoint
= https://mathworld.wolfram.com/EllipticFixedPoint.html
 { [[Date(2023-11-14T16:27:19)]]
 "An '''elliptic fixed point''' of a [[미분방정식,differential_equation|differential equation]] is a [[고정점,fixed_point|fixed point]] for which the
 stability matrix // stability_matrix =,stability_matrix . stability_matrix { '''stability matrix''' 안정성행렬 / 안정행렬 ? WtEn:stability_matrix ? WpSp:stability_matrix ? WpEn:stability_matrix ?  Ggl:"stability matrix" [[MathWorld:StabilityMatrix]] = https://mathworld.wolfram.com/StabilityMatrix.html Up: [[안정성,stability]] [[행렬,matrix]] }
 has purely imaginary eigenvalues // [[순허수]] [[고유값,eigenvalue]] ?
  $\lambda_{\pm} = \pm i \omega \quad (\text{for }\; \omega\gt 0).$
 An '''elliptic fixed point''' of a map // [[사상,map]] [[사상,mapping]] ?
 is a fixed point of a linear transformation (map)
 for which the rescaled variables satisfy
  $(\delta-\alpha)^2+4\beta\gamma\lt 0.$
 "}
== hyperbolic * ==
번역은 아마도
쌍곡고정점 ?
(하이퍼볼릭|쌍곡선|쌍곡) (고정|부동)점  ...중에 TBD

MathWorld:HyperbolicFixedPoint
= https://mathworld.wolfram.com/HyperbolicFixedPoint.html
 { [[Date(2023-11-14T16:27:19)]]
 // [[미분방정식,differential_equation]]의 쌍곡고정점
 "A '''hyperbolic fixed point''' of a differential equation is a fixed point for which the stability matrix has eigenvalues // [[stability_matrix]] [[고유값,eigenvalue]]
  $\lambda_1\lt 0\lt \lambda_2,$
 also called a [[안장점,saddle_point]].
 // [[사상,map]]의 쌍곡고정점
 A '''hyperbolic fixed point''' of a map is a fixed point for which the rescaled variables satisfy
  $(\delta-\alpha)^2+4\beta\gamma\gt 0.$
 "}
== * node ==
fixed point node
fixpoint node ?

MathWorld:FixedPointNode
= https://mathworld.wolfram.com/FixedPointNode.html

[[노드,node]]

== 고정점정리 * theorem ==
고정점정리 fixed point theorem
[[fixed-point_theorem]] OR
[[fixed_point_theorem]]... (w)

[[MathWorld:FixedPointTheorem]] = https://mathworld.wolfram.com/FixedPointTheorem.html
 [[VG:중간값정리,사이값정리,intermediate_value_theorem,IVT]]가 쓰이네?

...
Ndict:고정점정리
Ggl:고정점정리
"fixed point theorem"
Naver:"fixed point theorem"
Ggl:"fixed point theorem"

Up: [[고정점,fixed_point]] [[정리,theorem]]


=== Brouwer * theorem ===
w

=== Tarski * theorem ===
w

=== Banach * theorem ===
w
[[WpKo:바나흐_고정점_정리]] = https://ko.wikipedia.org/wiki/바나흐_고정점_정리
aka [[contraction_mapping_theorem]] =,contraction_mapping_theorem . contraction_mapping_theorem { WtEn:contraction_mapping_theorem WpEn:contraction_mapping_theorem }

== fixed-point logic ==
[[fixed-point_logic]]
Srch:fixed-point_logic

[[로직,logic]]
[[논리,logic]]
[[논리학,logic]] 셋 중에 pagename?

= Up =
[[점,point]]
[[포인트,point]]
[[고정,fixation]] ? [[고정]] [[fixation]]

= Twin =
http://emal.iptime.org/noriwiki/index.php/Fixed_point

[[WtEn:fixed_point]] = https://en.wiktionary.org/wiki/fixed_point
 syn. [[fixpoint]].

https://ko.wikipedia.org/wiki/고정점
 {[[Date(2023-11-14T16:27:19)]] 처음.
 "수학에서 '''고정점(固定點, fixed point) 또는 부동점(不動點, invariant point)'''은 함수나 변환 따위에서 옮겨지지 않는 점이다.
 ex. 실수 위의 함수의 '''고정점'''은 그래프와 직선 $y=x$ 의 교점에 대응한다. "
 // 각각 [[고정,fixation]] [[invariance]] 을 강조한 name?
 // Ggl:"invariant point"
 "}

 QQQ [[반복,iteration]] / [[함수합성,function_composition]] / ...etc 에서 invariant?


https://tetration.org/index.php/Fixed_points
(of complex_plane)

http://www.scholarpedia.org/article/Fixed_point

= wikiadmin =
== log ==
[[Date(2023-11-14T16:27:19)]] page made