Difference between r1.2 and the current
@@ -55,6 +55,10 @@
----
<<tableofcontents>>
= Sub (* = fixed point 또는 fixpoint) =
== elliptic * ==
번역은 아마도
타원고정점 ??
<<tableofcontents>>
= Sub (* = fixed point 또는 fixpoint) =
== least * ==
[[least_fixed_point]]
Ggl:"least fixed point"
번역은 아마도
타원고정점 ??
@@ -63,7 +67,7 @@
= 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
$\lambda_{\pm} = \pm i \omega \quad (\text{for }\; \omega\gt 0).$
An '''elliptic fixed point''' of a map // [[사상,map]] [[사상,mapping]] ?
{ [[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''' WtEn:stability_matrix ? WpSp:stability_matrix ? WpEn:stability_matrix ? Ggl:"stability matrix" [[MathWorld:StabilityMatrix]] = https://mathworld.wolfram.com/StabilityMatrix.html }
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]] ?
@@ -125,12 +129,22 @@
[[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 }
= Up =
[[점,point]]
[[포인트,point]]
[[고정,fixation]] ? [[고정]] [[fixation]]
= Twin =
[[WtEn:fixed_point]] = https://en.wiktionary.org/wiki/fixed_point
syn. [[fixpoint]].
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?
[[점,point]]
[[포인트,point]]
[[고정,fixation]] ? [[고정]] [[fixation]]
= Twin =
http://emal.iptime.org/noriwiki/index.php/Fixed_point
syn. [[fixpoint]].
@@ -145,6 +159,11 @@
QQQ [[반복,iteration]] / [[함수합성,function_composition]] / ...etc 에서 invariant?
= wikiadmin =
== log ==
[[Date(2023-11-14T16:27:19)]] page made
https://tetration.org/index.php/Fixed_points
(of complex_plane)
http://www.scholarpedia.org/article/Fixed_point
== log ==
[[Date(2023-11-14T16:27:19)]] page made
고정점 fixed point
AKA fixpoint
AKA fixpoint
fixed point { 2023-11-15 "fixed point = 고정점, 부동점" }
fixed point { 2023-11-15 "fixed point = 고정점, 붙박이점" }
MKL
같은영어표현
고정소수점,fixed_point .... pagename rechk.
부동소수점,floating_point ? 과 대구가 맞는다 -
부동소수점,floating_point은 옛날에 이미 그렇게 이름지어짐.
같은영어표현
고정소수점,fixed_point .... pagename rechk.
fixed-point_arithmetic =,fixed-point_arithmetic =,fixed-point_arithmetic . fixed-point_arithmetic
{
고정소수점산술 ?
fixed-point_arithmetic ?
등은 저기로.
"fixed-point arithmetic"
fixed-point arithmetic
}
저걸 저렇게 이름짓는다면{
고정소수점산술 ?
fixed-point_arithmetic ?등은 저기로.
"fixed-point arithmetic"
fixed-point arithmetic}
부동소수점,floating_point ? 과 대구가 맞는다 -
부동소수점,floating_point은 옛날에 이미 그렇게 이름지어짐.부동소수점산술,floating-point_arithmetic (?)
부동소수점수,floating-point_number (?) (FPN)
"floating-point arithmetic"
floating-point arithmetic
부동소수점수,floating-point_number (?) (FPN)
"floating-point arithmetic"
floating-point arithmetic1.2. elliptic * ¶
번역은 아마도
타원고정점 ??
타원고정점 ??
EllipticFixedPoint= https://mathworld.wolfram.com/EllipticFixedPoint.html
{ 2023-11-15
"An elliptic fixed point of a differential equation is a fixed point for which the
stability matrix // stability_matrix =,stability_matrix . stability_matrix { stability matrix 안정성행렬 / 안정행렬 ?stability_matrix ? 
stability_matrix ? 
stability_matrix ? stability matrix StabilityMatrix = https://mathworld.wolfram.com/StabilityMatrix.html Up: 안정성,stability 행렬,matrix }
has purely imaginary eigenvalues // 순허수 고유값,eigenvalue ?
is a fixed point of a linear transformation (map)
for which the rescaled variables satisfy
"An elliptic fixed point of a differential equation is a fixed point for which the
stability matrix // stability_matrix =,stability_matrix . stability_matrix { stability matrix 안정성행렬 / 안정행렬 ?
stability_matrix ? stability_matrix ? stability_matrix ? stability matrix StabilityMatrix = https://mathworld.wolfram.com/StabilityMatrix.html Up: 안정성,stability 행렬,matrix }has purely imaginary eigenvalues // 순허수 고유값,eigenvalue ?
$\displaystyle \lambda_{\pm} = \pm i \omega \quad (\text{for }\; \omega\gt 0).$
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
$\displaystyle (\delta-\alpha)^2+4\beta\gamma\lt 0.$
"}1.3. hyperbolic * ¶
번역은 아마도
쌍곡고정점 ?
(하이퍼볼릭|쌍곡선|쌍곡) (고정|부동)점 ...중에 TBD
쌍곡고정점 ?
(하이퍼볼릭|쌍곡선|쌍곡) (고정|부동)점 ...중에 TBD
HyperbolicFixedPoint= https://mathworld.wolfram.com/HyperbolicFixedPoint.html
{ 2023-11-15
// 미분방정식,differential_equation의 쌍곡고정점
"A hyperbolic fixed point of a differential equation is a fixed point for which the stability matrix has eigenvalues // stability_matrix 고유값,eigenvalue
// 사상,map의 쌍곡고정점
A hyperbolic fixed point of a map is a fixed point for which the rescaled variables satisfy
// 미분방정식,differential_equation의 쌍곡고정점
"A hyperbolic fixed point of a differential equation is a fixed point for which the stability matrix has eigenvalues // stability_matrix 고유값,eigenvalue
$\displaystyle \lambda_1\lt 0\lt \lambda_2,$
also called a 안장점,saddle_point.// 사상,map의 쌍곡고정점
A hyperbolic fixed point of a map is a fixed point for which the rescaled variables satisfy
$\displaystyle (\delta-\alpha)^2+4\beta\gamma\gt 0.$
"}1.5. 고정점정리 * theorem ¶
FixedPointTheorem = https://mathworld.wolfram.com/FixedPointTheorem.html...
고정점정리고정점정리"fixed point theorem"
fixed point theoremfixed point theorem1.5.3. Banach * theorem ¶
w
바나흐_고정점_정리 = https://ko.wikipedia.org/wiki/바나흐_고정점_정리
aka contraction_mapping_theorem =,contraction_mapping_theorem . contraction_mapping_theorem {contraction_mapping_theorem contraction_mapping_theorem }
바나흐_고정점_정리 = https://ko.wikipedia.org/wiki/바나흐_고정점_정리aka contraction_mapping_theorem =,contraction_mapping_theorem . contraction_mapping_theorem {
contraction_mapping_theorem contraction_mapping_theorem }
3. Twin ¶
fixed_point = https://en.wiktionary.org/wiki/fixed_pointhttps://ko.wikipedia.org/wiki/고정점
{2023-11-15 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 고정점은 그래프와 직선 $\displaystyle y=x$ 의 교점에 대응한다. "
// 각각 고정,fixation invariance 을 강조한 name?
//invariant point
"}
QQQ 반복,iteration / 함수합성,function_composition / ...etc 에서 invariant?
https://tetration.org/index.php/Fixed_points"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 고정점은 그래프와 직선 $\displaystyle y=x$ 의 교점에 대응한다. "
// 각각 고정,fixation invariance 을 강조한 name?
//
invariant point"}
QQQ 반복,iteration / 함수합성,function_composition / ...etc 에서 invariant?
(of complex_plane)