Difference between r1.8 and the current
@@ -162,6 +162,8 @@
https://tetration.org/index.php/Fixed_points
(of complex_plane)
= wikiadmin =
== log ==
[[Date(2023-11-14T16:27:19)]] page made
(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
![KmsE: KmsE:](/wiki/imgs/interwiki/kmse-16.png)
![KpsE: KpsE:](/wiki/imgs/interwiki/kpse-16.png)
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 ?
![WtEn: WtEn:](/wiki/imgs/interwiki/wten-16.png)
등은 저기로.
"fixed-point arithmetic"
![Ggl: Ggl:](/wiki/imgs/interwiki/ggl-16.png)
}
부동소수점,floating_point ? 과 대구가 맞는다 -
![VG: VG:](/wiki/imgs/interwiki/vg-16.png)
부동소수점산술,floating-point_arithmetic (?)
부동소수점수,floating-point_number (?) (FPN)
"floating-point arithmetic"
floating-point arithmetic
부동소수점수,floating-point_number (?) (FPN)
"floating-point arithmetic"
![Ggl: Ggl:](/wiki/imgs/interwiki/ggl-16.png)
1.2. elliptic * ¶
번역은 아마도
타원고정점 ??
타원고정점 ??
![MathWorld: MathWorld:](/wiki/imgs/interwiki/mathworld-16.png)
= 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 ?
![WtEn: WtEn:](/wiki/imgs/interwiki/wten-16.png)
![WpSp: WpSp:](/wiki/imgs/interwiki/wpsp-16.png)
![WpEn: WpEn:](/wiki/imgs/interwiki/wpen-16.png)
![Ggl: Ggl:](/wiki/imgs/interwiki/ggl-16.png)
![MathWorld: MathWorld:](/wiki/imgs/interwiki/mathworld-16.png)
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
![MathWorld: MathWorld:](/wiki/imgs/interwiki/mathworld-16.png)
= 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 ¶
![MathWorld: MathWorld:](/wiki/imgs/interwiki/mathworld-16.png)
...
![Ndict: Ndict:](/wiki/imgs/interwiki/ndict-16.png)
![Ggl: Ggl:](/wiki/imgs/interwiki/ggl-16.png)
"fixed point theorem"
![Naver: Naver:](/wiki/imgs/interwiki/naver-16.png)
![Ggl: Ggl:](/wiki/imgs/interwiki/ggl-16.png)
1.5.3. 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 }
![WpKo: WpKo:](/wiki/imgs/interwiki/wpko-16.png)
aka contraction_mapping_theorem =,contraction_mapping_theorem . contraction_mapping_theorem {
![WtEn: WtEn:](/wiki/imgs/interwiki/wten-16.png)
![WpEn: WpEn:](/wiki/imgs/interwiki/wpen-16.png)
3. Twin ¶
![WtEn: WtEn:](/wiki/imgs/interwiki/wten-16.png)
https://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?
//
![Ggl: Ggl:](/wiki/imgs/interwiki/ggl-16.png)
"}
QQQ 반복,iteration / 함수합성,function_composition / ...etc 에서 invariant?
(of complex_plane)