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" }
fixed point { 2023-11-15 "fixed point = 고정점, 붙박이점" }
MKL
같은영어표현
고정소수점,fixed_point .... pagename rechk.
같은영어표현
고정소수점,fixed_point .... pagename rechk.
fixed-point_arithmetic =,fixed-point_arithmetic =,fixed-point_arithmetic . fixed-point_arithmetic
{
fixed-point_arithmetic ?
등은 저기로.
}
{
fixed-point_arithmetic ?
등은 저기로.
}
1.1. elliptic * ¶
번역은 아마도
타원고정점 ??
타원고정점 ??
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 stability_matrix ? stability_matrix ? stability_matrix ? stability matrix StabilityMatrix = https://mathworld.wolfram.com/StabilityMatrix.html }
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 stability_matrix ? stability_matrix ? stability_matrix ? stability matrix StabilityMatrix = https://mathworld.wolfram.com/StabilityMatrix.html }
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
$\displaystyle (\delta-\alpha)^2+4\beta\gamma\lt 0.$
"}1.2. hyperbolic * ¶
번역은 아마도
쌍곡고정점 ?
(하이퍼볼릭|쌍곡선|쌍곡) (고정|부동)점 ...중에 TBD
쌍곡고정점 ?
(하이퍼볼릭|쌍곡선|쌍곡) (고정|부동)점 ...중에 TBD
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
$\displaystyle (\delta-\alpha)^2+4\beta\gamma\gt 0.$
"}1.4. 고정점정리 * theorem ¶
FixedPointTheorem = https://mathworld.wolfram.com/FixedPointTheorem.html
...
고정점정리
고정점정리
"fixed point theorem"
fixed point theorem
fixed point theorem
...
고정점정리
고정점정리
"fixed point theorem"
fixed point theorem
fixed point theorem
1.4.3. 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_정리
aka 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_point
https://ko.wikipedia.org/wiki/고정점
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?
"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?