- 선형성,linearity . . . . 74 matches
[[선형화,linearization]]
[[선형미분방정식,linear_differential_equation]]
https://en.wikipedia.org/wiki/Linear_differential_equation
[[선형분류,linear_classification]] - [[분류,classification]]
[[선형분류기,linear_classifier]] - [[분류기,classifier]]
[[선형시스템,linear_system]] or
[[선형계,linear_system]]
WpEn:Linear_system
= https://en.wikipedia.org/wiki/Linear_system
Up: [[선형성,linearity]] 시스템 ( [[시스템,system]] [[계,system]] .... )
[[선형연산자,linear_operator]] = [[선형작용소,linear_operator]] - curr at [[연산자,operator]]
[[선형결합,linear_combination]] - [[결합,combination]]
[[선형회귀,linear_regression]] — [[회귀,regression]] // added [[Date(2023-10-05T05:59:37)]]
[[선형공간,linear_space]] - [[공간,space]] : [[벡터공간,vector_space]]과 동의어.
[[선형변환,linear_transformation]]
[[VG:선형변환,linear_transformation]]
[[비선형성,nonlinearity]]
KmsE:linear
collinear
페이지있음 (rename or del) - [[collinear]]
- 형식,form . . . . 41 matches
== (이하 몇개는 linearity ...) ==
[[선형성,linearity]]
== linear form ==
[[linear_form]] =,linear_form . Srch:linear_form
WtEn:linear_form
https://proofwiki.org/wiki/Definition:Linear_Form
WpEn:Linear_form
Ggl:"linear form"
== bilinear form ==
[[bilinear_form]] =,bilinear_form . Srch:bilinear_form
WtEn:bilinear_form
https://proofwiki.org/wiki/Definition:Bilinear_Form
https://proofwiki.org/wiki/Definition:Associated_Bilinear_Form
[[MathNote:겹선형_형식(bilinear_form)]] = https://wiki.mathnt.net/index.php?title=겹선형_형식(bilinear_form)
alternating bilinear form ? - 맞는듯, 그리고 alternating form 이라고도 함 (planetmath)
Ggl:"alternating bilinear form"
[[WpEn:Bilinear_form]] = https://en.wikipedia.org/wiki/Bilinear_form
https://encyclopediaofmath.org/wiki/Bilinear_form
https://ncatlab.org/nlab/show/bilinear+form
"bilinear form"
- 곡선,curve . . . . 40 matches
표현 'curvilinear' =,curvilinearity . curvilinearity WtEn:curvilinearity
WtEn:curvilinear -> "having bends; curved."
NdEn:curvilinear -> "곡선으로 이루어진"
[[곡선좌표,curvilinear_coordinate]] =곡선좌표,curvilinear_coordinate =,curvilinear_coordinate 곡선좌표 curvilinear_coordinate
curvilinear coordinate
WtEn:curvilinear_coordinate ?
Up: [[curvilinearity]] [[좌표,coordinate]]
} // curvilinear coordinate ... Ggl:"curvilinear coordinate" Ndict:"curvilinear coordinate"
[[곡선적분,curvilinear_integral]] =곡선적분,curvilinear_integral =,curvilinear_integral 곡선적분 curvilinear_integral
'''curvilinear integral'''
WtEn:curvilinear_integral ?
Up: [[적분,integration]] [[curvilinearity]]
} // curvilinear integral ... Ggl:"curvilinear integral" Ndict:"curvilinear integral"
[[굽은다각형,curvilinear_polygon]] =굽은다각형,curvilinear_polygon =,curvilinear_polygon 굽은다각형 curvilinear_polygon
'''curvilinear polygon'''
WtEn:curvilinear_polygon ?
Up: [[다각형,polygon]] [[curvilinearity]]
} // curvilinear polygon ... Ggl:"curvilinear polygon" Ndict:"curvilinear polygon"
} // curvilinear .... Ggl:curvilinear Ndict:curvilinear // curvilinearity
- 비선형성,nonlinearity . . . . 37 matches
## =비선형성,nonlinearity =,nonlinearity 비선형성 nonlinearity
'''nonlinearity'''
아무래도 이 특성을 가진 nonlinear system은, linear system보다 [[예측,prediction]] [[추정,estimation]]... etc. 등이 어렵고,
[[선형성,linearity]]
[[선형계,linear_system]] - [[VG:선형계,linear_system]]
[[비선형계,nonlinear_system]] ?
[[비선형시스템,nonlinear_system]] ? =,nonlinear_system . nonlinear_system
nonlinear system
Up: [[비선형성,nonlinearity]] system ([[시스템,system]] [[계,system]] [[물리계,physical_system]]? ... [[체계,system]]? KpsE:system )
"nonlinear system"
Ggl:"nonlinear system"
Naver:"nonlinear system"
WtEn:nonlinear_system = https://en.wiktionary.org/wiki/nonlinear_system x [[Date(2023-12-08T20:33:18)]]
"nonlinear system"
Ggl:"nonlinear system"
} // nonlinear system
KmsE:nonlinear
KpsE:nonlinear
KcsE:nonlinear
WtEn:nonlinearity = https://en.wiktionary.org/wiki/nonlinearity
- 자기동형군,automorphism_group . . . . 27 matches
[[general_linear_group]] =,general_linear_group . general_linear_group
'''general linear group'''
https://en.wikipedia.org/wiki/General_linear_group
WtEn:general_linear_group
https://encyclopediaofmath.org/wiki/General_linear_group
https://mathworld.wolfram.com/GeneralLinearGroup.html
} // general linear group ... Ggl:"general linear group" Naver:"general linear group" / NN:"general linear group" (x [[Date(2024-03-14T06:10:34)]])
[[projective_linear_group]] =,projective_linear_group . projective_linear_group
'''projective linear group''' - 일반적으로 projective_general_linear_group 을 말함.
projective_general_linear_group =,PGL PGL
projective general linear group (PGL)
projective_special_linear_group =,PSL PSL
projective special linear group (PSL)
https://en.wikipedia.org/wiki/Projective_linear_group
https://en.wiktionary.org/wiki/projective_linear_group x [[Date(2024-03-14T06:10:34)]]
} // projective linear group ... Ggl:"projective linear group" Naver:"projective linear group" / NN:"projective linear group"(x [[Date(2024-03-14T06:10:34)]])
- 형용사,adjective . . . . 26 matches
##=,linear .
linear - linearity n. / opp. nonlinear ?? chk WtEn:nonlinear WtEn:nonlinearity
https://en.wiktionary.org/wiki/linear#English
cmp. bilinear https://en.wiktionary.org/wiki/bilinear / n. https://en.wiktionary.org/wiki/bilinearity#English
https://en.wikipedia.org/wiki/Bilinear_map
https://encyclopediaofmath.org/wiki/Bilinear_mapping
https://en.wiktionary.org/wiki/bilinear_form#English / syn. https://en.wiktionary.org/wiki/two-form#English
https://encyclopediaofmath.org/wiki/Bilinear_form
cmp. multilinear https://en.wiktionary.org/wiki/multilinear#English
https://en.wiktionary.org/wiki/multilinear_form#English
https://mathworld.wolfram.com/MultilinearForm.html
https://en.wikipedia.org/wiki/Multilinear_form
https://en.wikipedia.org/wiki/Multilinear_map
linear_form [[WtEn:linear_form]]
linear_functional [[WtEn:linear_functional]]
linear_combination [[WtEn:linear_combination]]
- 미분방정식,differential_equation . . . . 23 matches
[[선형미방linear_DE]] - TODORENAME .... renameto [[선형미분방정식,linear_diff_eq]] ? https://en.wikipedia.org/wiki/Linear_differential_equation
'''linear differential equation'''
미방이 $x,x',x'',x^{(3)},x^{(4)},\cdots$ 의 [[선형결합,linear_combination]]이면 즉 예를 들어
[[일계선형미방first-order_linear_DE]] -> [[일계선형미분방정식,first-order_linear_differential_equation]]
[[LCCDE]] - [[linear_constant_coefficient_differential_equation]]
선형 linear
비선형 nonlinear
[[선형미방linear_DE]]
[[비선형미방nonlinear_DE]]
([[VG:선형성,linearity]]에 따라. [[VG:중첩원리,superposition_principle]] 도 관련)
A first-order diff. eq. is linear if it has the form
method of integrating factor in first order linear differential equation
https://freshrimpsushi.github.io/posts/method-of-integrating-factor-in-first-order-linear-differential-equation/
= 선형미분방정식 linear DE =
$F(x,y,y')=0$ 이 $y,y'$ 에 대한 [[선형결합,linear_combination]]의 형태로.
= linear DEs of higher order (고계 선형 미방) =
Superposition Principle for Linear DE
정리. (homogeneous linear DE의 중첩원리)
$\rightarrow f_1,\cdots,f_n$ 이 $I$ 에서 선형종속(linearly dependent, =일차종속)
$f_1,\cdots,f_n$ : $I$ 에서 선형독립(linearly independent, =일차독립)
- 공학수학1,engineering_mathematics_1 . . . . 19 matches
= Linear DE 여부 판별 예제 =
$\cos(xy)$ 때문에 ( $y$ 가 들어있으므로 ) Linear가 아님.
$\sec(xy)$ 때문에 nonlinear.
$y'$ 에 제곱이 붙어있으므로 nonlinear.
linear.
linear DE
= 2.3 Linear DEs (1) =
is said to be a first order linear DE in y
= 2.3 Linear DEs (1-1) =
이면 안된다. 왜냐하면, 아까 $Ly=f$ 를 만족하는게 $y_p$ 라고 했었는데, $y_p$ 가 위와 같은 모양이면, linear 성질에 의해
= 2.3 Linear DEs (2) =
Linear DEs
- general solution of a first-order linear DE:
= 2.3 Linear DEs (3) =
: not separable, not linear in y
: linear in x
$2xydx+(x^2-1)dy=0$ : separable, linear in y, exact?
$\frac{dy}{dx}=\frac{xy^2-\cos x\sin x}{y(1-x^2)},\;y(0)=2$ : not separable, not linear in y, not linear in x, exact?
- 선형미방linear_DE . . . . 19 matches
[[일계선형미방first-order_linear_DE]]
[[선형편미분방정식]] ~~[[선형편미방,linear_PDE]]~~ (not good pagename scheme...) =선형편미분방정식,linear_partial_differential_equation,linear_PDE =,linear_partial_differential_equation =,linear_PDE .
'''linear partial differential equation'''
Up: [[선형성,linearity]] [[편미분방정식,partial_differential_equation,PDE]]
} // 선형편미분방정식 .... NN:선형편미분방정식 Ggl:선형편미분방정식 // linear partial differential equation ... NN:"linear partial differential equation" Ggl:"linear partial differential equation"
일계선형미방 First-order linear DE는 항상 다음 꼴
[[선형미분연산자,linear_differential_operator]]와 관련있나?? 없나?
https://everything2.com/title/linear+differential+equation
https://en.wikipedia.org/wiki/Linear_differential_equation
RENAMETHISPAGE TO [[선형미분방정식,linear_differential_equation]] =선형미분방정식,linear_differential_equation =,linear_differential_equation . 선형미분방정식 linear_differential_equation
- 변환 . . . . 14 matches
[[선형변환,linear_transformation]] - [[VG:선형변환,linear_transformation]]
=선형변환,linear_transformation =,linear_transformation 선형변환 linear_transformation
[[WtEn:linear_transformation]] = https://en.wiktionary.org/wiki/linear_transformation
[[선형연산자,linear_operator]] =선형연산자,linear_operator =,linear_operator 선형연산자 linear_operator
https://mathworld.wolfram.com/LinearOperator.html
https://en.wiktionary.org/wiki/linear_operator#English
[[VG:선형변환,linear_transformation]]
- 범함수,functional . . . . 13 matches
linear functional
linear functional
linear_functional
WtEn:linear_functional
https://mathworld.wolfram.com/LinearFunctional.html
https://ncatlab.org/nlab/show/linear+functional
Ggl:"linear functional"
"linear functional"
nonlinear functional
nonlinear functional
https://ncatlab.org/nlab/show/nonlinear+functional
Ggl:"nonlinear functional"
"nonlinear functional"
- 최적화,optimization . . . . 13 matches
=== linear programming ===
https://en.wikipedia.org/wiki/Linear_programming
[[linear_programming]]
[[선형성,linearity]]?
=== integer linear programming (ILP) ===
Ggl:"integer linear programming"
[[linear_programming]]
=== nonlinear programming ===
[[nonlinear_programming]] or
[[non-linear_programming]]
Ggl:"nonlinear programming"
[[비선형성,nonlinearity]]?
"Examples are finding the [minimum_spanning_tree] in a graph or the Travelling Salesman Problem. Many of the problems looked at have also been solved using [linear_programming]."
- 자동기계,automaton . . . . 12 matches
[[linear_bounded_automaton]] =,linear_bounded_automaton . linear_bounded_automaton |=,LBA LBA
'''linear bounded automaton'''
https://en.wiktionary.org/wiki/linear_bounded_automaton x [[Date(2024-03-10T02:43:34)]]
https://en.wikipedia.org/wiki/Linear_bounded_automaton
[[선형성,linearity]]?
} // linear bounded automaton ... Ndict:"linear bounded automaton" Naver:"linear bounded automaton" Bing:"linear bounded automaton" Ggl:"linear bounded automaton"
- 선형결합,linear_combination . . . . 11 matches
## =선형결합,linear_combination =,linear_combination 선형결합 linear_combination
Up: [[선형성,linearity]] [[결합,combination]]
esp [[선형생성,linear_span]]
[[linear_hull]] =,linear_hull . linear_hull { WtEn:linear_hull ? Up: [[헐,hull]] } 도 같은 뜻?
[[VG:선형결합,linear_combination]]
https://ncatlab.org/nlab/show/linear+combination
- 멀티,multi . . . . 10 matches
multilinear
[[multilinearity]] WtEn:multilinearity ? 2인 경우가 WtEn:bilinearity ?
multilinear_algebra WtEn:multilinear_algebra
WpEn:Multilinear_algebra = https://en.wikipedia.org/wiki/Multilinear_algebra
CategoryPrefix (다른 수학의 prefixes: [[슈도,pseudo]], [[바이,bi]]? 또는 [[다이,di]]? (or dyadic?) (multi에서 2인 특수한, 가장 간단한 경우?), single/mono(1인 경우?) ~= , [[조인트,joint]], [[쌍대,dual]]/[[듀얼,dual]]?, super? , [[하이퍼,hyper]], symmetric, algebraic, inner vs outer ~= exterior, metric, [[서브,sub]], [[proper]](진-), [[고유,eigen]], 직-(direct-), [[영,zero]]~=[[널,null]]~=[[닐,nil]], [[선형,linear]] vs [[비선형,nonlinear]], [[코,co]](이건 [[쌍대,dual]]일때가 대부분인데 아닐때도 가끔 있는 듯 한데... not sure. WtEn:co- ), semi-(반-), anti(반-), (앞의 둘은 둘 다 반-이라 헷갈림, 한자는 다르지만.), [[프리미티브,primitive]](원시-), .... )
- 선형모델,linear_model . . . . 10 matches
[[선형모형,linear_model]]
[[선형회귀,linear_regression]] <- 선형모델임.
[[로지스틱회귀,logistic_regression]] <- 선형모델이 아님. [[비선형모델,nonlinear_model]]임.
이유는 linear regression 식은
i.e. logistic regression model은 nonlinear model이다.
[[모집단,population]] 에서의 실제 $f()$ 가 [[선형성,linearity]]을 갖고 있다고 가정
* [[선형회귀,linear_regression]] 모델: [[회귀,regression]] 문제에 적용 // linear_model / linear_regression_model
[[선형성,linearity]]
- 추정량,estimator . . . . 10 matches
Best linear unbiased estimator (BLUE)
====,best_linear_unbiased_estimator ====,BLUE . best_linear_unbiased_estimator BLUE
최소 분산의 불편선형추정치(Best Linear Unbiased Estimator, BLUE)[* https://terms.naver.com/entry.naver?docId=3478514&cid=58439&categoryId=58439 [[크리깅,kriging]]이 이것을 구하는 방법임.] 추정치와 실제치의 차이에 대한 기댓값은 0이어야 하고, 동시에 그 차이에 대한 [[분산,variance]]은 최소가 되어야.[* https://terms.naver.com/entry.naver?docId=3477068&cid=58439&categoryId=58439]
"In the world of statistics, blue stands for Best Linear Unbiased Estimator. This is an estimate of a population parameter that is, essentially, better than other estimators of that paramater. For example, of the various measures of central tendency, the mean is blue, the others are not."
BLUP best_linear_unbiased_prediction
=,BLUP =,best_linear_unbiased_prediction .
https://en.wikipedia.org/wiki/Best_linear_unbiased_prediction
[[WpEn:Best_linear_unbiased_estimator]]
= https://en.wikipedia.org/wiki/Best_linear_unbiased_estimator
- 헐,hull . . . . 10 matches
[[linear_hull]] - [[선형생성,linear_span]]과 같은 뜻? chk ( curr see [[선형결합%2Clinear_combination?action=highlight&value=선형생성%2Clinear_span]] )
'''linear hull'''
WtEn:linear_hull ? x 2024-03
} // linear hull .... Ggl:"linear hull" NN x Naver:"linear hull" Bing:"linear hull"
- OnlineLectures . . . . 9 matches
Linear algebra
· Linear Algebra and Its Applications, 4th Edition. Gilbert Strang, Brooks Cole
· Linear Algebra and Its Applications, 5th Edition, David C. Lay and Steven R. Lay, Pearson
교재: Linear Algebra and Its Applications, 5th Edition - by David C. Lay
[[선형방정식,linear_equation]]
[[YoungGilKim_Linear_Algebra]]
linear algebra, probability and statistics, optimization, deep learning.
= MIT Linear Algebra =
https://ocw.mit.edu/courses/18-06-linear-algebra-spring-2010/
- 선형시스템,linear_system . . . . 9 matches
linearity의 특성을 [[중첩,superposition]]이라고도 하는 듯 싶고, - CHK
[[VG:선형계,linear_system]]있는데
[[VG:선형시스템,linear_system]](아직없음)으로 옮겨야할듯
[[선형계,linear_system]] 별도 page mk?
만일 시스템이 이 두 가지 성질을 모두 만족시키는 경우, 이 시스템을 '''선형 시스템(linear system)'''이라 한다.
x,,1,,(t)와 x,,2,,(t)를 선형조합(''[[선형결합,linear_combination]]'')하여 새로운 입력으로, 즉 x(t)=αx,,1,,(t)+βx,,2,,(t)를 시스템에 인가할 때, 동일한 가중치로 y,,1,,(t)와 y,,2,,(t)를 선형 조합한 신호, 즉 y(t)=αy,,1,,(t)+βy,,2,,(t)가 출력된다면, 이 시스템은 선형적(linear)이다. 여기서 가중치 α와 β는 임의의 상수이다. α=β=1인 경우 가산성을 나타내며, β=0인 경우는 균일성을 나타낸다. 이와 같은 관계를 중첩의 성질(superposition property)이라 하며 다음과 같이 표현된다.
이와 같이 어떤 시스템의 입력과 출력 사이에 중첩의 성질이 성립하면, 이 시스템을 선형 시스템이라 하며, 그렇지 않으면 비선형 시스템(nonlinear system)이라 한다.
Up: [[선형성,linearity]] [[시스템,system]]
- 시스템,system . . . . 9 matches
[[LTI_system]] { [[선형시스템,linear_system]] and [[시불변시스템,time-invariant_system]] ?
'''linear time-invariant system'''
[[WpEn:Linear_time-invariant_system]]
... Google:linear+time+invariant+system
= 선형시스템 linear system =
[[선형시스템,linear_system]]
정확히는 [[선형성,linearity]] 두 성질을 만족하는 [[시스템,system]]... [[입력,input]] [[출력,output]]이?
= 비선형시스템 nonlinear system =
[[비선형시스템,nonlinear_system]]
- 연산자,operator . . . . 9 matches
[[선형연산자,linear_operator]] = [[선형작용소,linear_operator]]
[[bounded_linear_operator]] { bounded linear operator 유계선형작용소 via KmsE:"bounded linear operator" = https://www.kms.or.kr/mathdict/list.html?key=ename&keyword=bounded+linear+operator ..... Up: bounded_operator linear_operator ... https://www.kms.or.kr/mathdict/list.html?key=ename&keyword=bounded+linear+operator }
Up: [[선형성,linearity]] [[연산자,operator]]
- 회귀,regression . . . . 9 matches
[[선형회귀,linear_regression]] — [[선형,linear]] [[선형성,linearity]]
WpEn:Regression_line ? redir to WpEn:Linear_regression at 2023-11
linear regression 선형회귀, 직선회귀 // page made -> [[선형회귀,linear_regression]]
linear regression analysis 선형회귀분석 // [[선형회귀분석,linear_regression_analysis]] — [[선형회귀,linear_regression]] [[분석,analysis]]
- 교대,alternating . . . . 8 matches
[[alternating_multilinear_map]] =,alternating_multilinear_map . alternating_multilinear_map
https://en.wikipedia.org/wiki/Alternating_multilinear_map
Up: [[multilinear_map]] =,multilinear_map . multilinear_map { WtEn:multilinear_map }
- 선형회귀,linear_regression . . . . 8 matches
linear regression
Up: [[선형,linear]] [[선형성,linearity]] [[회귀,regression]]
[[WpSp:Linear_regression]] = https://simple.wikipedia.org/wiki/Linear_regression
[[WpEn:Linear_regression]] = https://en.wikipedia.org/wiki/Linear_regression
하나: 단순 선형 회귀(simple linear regression),
- 결합,combination . . . . 7 matches
[[선형결합,linear_combination]]
[[일차결합,linear_combination]] =일차결합,linear_combination =,linear_combination 일차결합 linear_combination
[[WtEn:linear_combination]]
[[유클리드_공간,Euclidean_space]]의 [[벡터,vector]]들의 [[선형결합,linear_combination]]인데 계수들이 비음수이고 모두 합해서 1인 경우.
- 그래프이론,graph_theory . . . . 7 matches
[[path_graph]], [[linear_graph]]와 다름.
== linear graph ==
linear_graph
WtEn:linear_graph x
Ggl:"linear graph"
이건 직선 그래프를 뜻하기도 하고(일차함수), path graph(아래)를 뜻하기도 한다.[* WpEn:Path_graph "a path graph (or linear graph) is a graph whose vertices can be listed in the order..."]
linear_graph 라고 하기도 한다.
- 순서,order . . . . 7 matches
total_order = linear_order
total_order = linear_order
WtEn:linear_order
strict_linear_order
non-strict_linear_order
https://encyclopediaofmath.org/wiki/Totally_ordered_set - ''chain, linear order'' // [[사슬,chain]] [[선형순서,linear_order]]
- 선형화,linearization . . . . 6 matches
''Moved to [[VG:선형화,linearization]]''
Up: [[선형성,linearity]]
linearizability
=,linearizability .
https://en.wikipedia.org/wiki/Linearizability
Ggl:linearizability
- 집합,set . . . . 6 matches
linearly_ordered_set
linearly ordered set
Up: ( total_order / total_ordering / linear_order / linear_ordering / totally_ordered a. / linearly_ordered a. ) { https://planetmath.org/linearlyordered
- 최정환_미분방정식및연습_2013 . . . . 6 matches
= Linear first-order ODE =
= Constant coefficient Second order linear ODE =
2nd order linear homogeneous equation with constant coefficients
= Variable coefficient Second order linear ODE =
= Variation of parameter과 second order linear ODE의 적용 =
= First and second order linear ODE =
- 라인,line . . . . 5 matches
[[리니어,linear]] { 보통 선형- 으로 번역. [[선형성,linearity]] 있는 것들. / CategoryPrefix / Pagename '''리니어,linear''' confirmed via kornorms at 2023-11-07 / Self:linear Srch:linear }
- 로직,logic . . . . 5 matches
=== linear temporal logic ===
Bing:"linear temporal logic"
Ggl:"linear temporal logic"
"linear temporal logic"
"'''CTL*''' is a [[superset]] of computational tree logic''([[computation_tree_logic]]?)'' (CTL) and [[linear_temporal_logic]] (LTL). It freely combines [[path_quantifier]]s and [[temporal_operator]]s. Like CTL, CTL* is a branching-time logic. The formal semantics of CTL* formulae are defined with respect to a given [[Kripke_structure]]." (we)
- 모형,model . . . . 5 matches
[[선형모델,linear_model]] ≃? [[선형회귀모델,linear_regression_model]] ... [[선형회귀,linear_regression]]
[[선형모형,linear_model]] ≃? [[선형회귀모형,linear_regression_model]]
- 선형공간,linear_space . . . . 5 matches
##=====선형공간,linear_space =,linear_space 선형공간 linear_space
[[선형성,linearity]]
WtEn:linear_space
- 쌍대성,duality . . . . 5 matches
[[strong_duality]] (최적화이론optimization, 선형계획법linear_programming 쪽) ([[VG:최적화,optimization]])
[[dual_linear_problem]]
[[https://en.wikipedia.org/wiki/Duality_(optimization)#Linear_case]]
WpEn:Dual_linear_program = https://en.wikipedia.org/wiki/Dual_linear_program
- 근사,approximation . . . . 4 matches
일차근사 = [[선형근사,linear_approximation]] ... ([[선형성,linearity]]) '''''vs''''' [[비선형근사]] Ndict:비선형근사 Ggl:비선형근사 (rel [[비선형성,nonlinearity]]? )
"linear approximation 일차근사, 선형근사" (kms)
- 미분연산자,differentiation_operator . . . . 4 matches
이 연산자는 linearity property를 가진다. ([[VG:선형성,linearity]])
따라서 [[선형연산자,linear_operator]]라 할 수 있다.
$L$ 은 선형연산자(linear operator)이다. (그래서 상수 $c,k$ 에 대해 $L(cy+kw)=cLy+kLw$ 이다.)
- FrontPage . . . . 3 matches
포항공대 일물실험1 안내문. [[VG:오차,error]] 와 (Excel을 사용한 선형회귀 (linear regression) 분석) 내용.
[[선형대수,linear_algebra]]
선형 linear
- 공간,space . . . . 3 matches
== 선형공간 linear space ==
[[선형공간,linear_space]] - 바로 위 [[벡터공간,vector_space]]과 동의어.
Up: [[선형대수,linear_algebra]]
- 라이브러리,library . . . . 3 matches
([[선형대수,linear_algrbra]]
LAPACK etc. https://en.wikipedia.org/wiki/Comparison_of_linear_algebra_libraries
std::linalg: Linear Algebra Coming to Standard C++ - Mark Hoemmen - CppCon 2023 - YouTube https://www.youtube.com/watch?v=-UXHMlAMXNk
- 주소,address . . . . 3 matches
[[선형주소공간,linear_address_space]] { ([[Date(2023-07-04T05:24:51)]]) WpEn:Linear_address_space redir. to WpEn:Flat_memory_model }
[[linear_address_space]]
- 최권휴_신호및선형시스템_2017 . . . . 3 matches
[[VG:선형성,linearity]]
$\delta(t) \to \fbox{\textrm{linear system, }\ell[\cdot]} \to h(t)$
$\ell$ : ''linear system operator''
- 탐색,search . . . . 3 matches
[[선형탐색,linear_search]]
WpSimple:Linear_search
= https://simple.wikipedia.org/wiki/Linear_search
- ReLU함수,ReLU_function . . . . 2 matches
ReLU = rectified linear unit
ELU = exponential linear unit
- coplanar . . . . 2 matches
비교: [[collinear]]
* collinear : 같은 직선 위에
- 경로,path . . . . 2 matches
"path graph (or linear graph)" - aka linear_graph
- 계단함수,step_function . . . . 2 matches
[[https://terms.naver.com/entry.naver?docId=5668977&cid=60207&categoryId=60207 수학백과: 계단함수]] - [[지시함수,indicator_function]]의 [[선형결합,linear_combination]]으로 정의.
aka '''staircase function''' if it can be written as a finite linear combination of indicator functions of intervals
- 고유,eigen . . . . 2 matches
[[정사각행렬,square_matrix]]인 [[선형변환,linear_transformation]]{[[VG:선형변환,linear_transformation]]} A 에 의한 변환 결과가 자기 자신의 상수배가 되는 0이 아닌 벡터를 '''고유벡터'''라 하고 이 상수배 λ의 값을 '''고유값'''이라고 합니다. 이를 행렬과 벡터를 사용하여 나타내면 다음 식과 같습니다.
- 기본_행_연산 . . . . 2 matches
(A First Course in Linear Algebra, Definition EO, p. 12)
Up: [[선형대수,linear_algebra]]
- 다항함수,polynomial_function . . . . 2 matches
||$P(x)=ax+b$ ||linear function // linear_function 일차함수 선형함수 .... ||
- 대각,diagonal . . . . 2 matches
[[WpEn:Trace_(linear_algebra)]] = https://en.wikipedia.org/wiki/Trace_(linear_algebra)
- 동치,equivalence . . . . 2 matches
Two linear systems with the same solution set.
[[선형계,linear_system]]
- 레지스터,register . . . . 2 matches
rel. via [[linearizability]] (curr at [[선형화,linearization]])
- 문자열,string . . . . 2 matches
비슷? linear [[선형,linear]] 인
- 벡터공간,vector_space . . . . 2 matches
syn. [[선형공간,linear_space]]
[[선형공간,linear_space]]과 동의어.
- 분류,classification . . . . 2 matches
[[선형분류,linear_classification]] - [[선형성,linearity]]
- 분석,analysis . . . . 2 matches
[[선형판별분석,linear_discriminant_analysis,LDA]] - [[VG:선형판별분석,linear_discriminant_analysis,LDA]]
- 섀도,shadow . . . . 2 matches
[[WpEn:Projection_(linear_algebra)]] = https://en.wikipedia.org/wiki/Projection_(linear_algebra)
- 선형미분연산자linear_differential_operator . . . . 2 matches
Green's functions: the genius way to solve DEs 의 chapter 1 : linear differential operators. https://youtu.be/ism2SfZgFJg?t=65
[[선형미분방정식,linear_differential_equation]]
- 수학,math . . . . 2 matches
[[선형대수,linear_algebra]]
[[선형화,linearization]]
- 이차,quadratic . . . . 2 matches
비선형계획법 nonlinear_programming 의 일종 ... cmp: [[선형계획법,linear_programming]]
- 인덱스,index . . . . 2 matches
in a text or text collection in sublinear time. // Link to: WpEn:Sublinear
- 정규문법,regular_grammar . . . . 2 matches
RLG 우선형문법 right-linear grammar - nonterminal이 terminal 뒤에 나타남
LLG 좌선형문법 left-linear grammar - nonterminal이 terminal 앞에 나타남
- 준동형사상,homomorphism . . . . 2 matches
[[벡터공간,vector_space]] 사이에 정의된 준동형사상: [[선형변환,linear_transformation]] or [[선형사상,linear_map]]
- 차원,dimension . . . . 2 matches
[[차원,dimension]] [[정리,theorem]] [[선형대수,linear_algebra]](or [[선형대수학,linear_algebra]])
- 텐서,tensor . . . . 2 matches
여기서는 [[선형변환,linear_transformation]] 또는 '''텐서'''라 불리는 연산자를 정의한다. // Up: [[연산,operation]] [[연산자,operator]]? [[변환,transformation]]?
R에 속하는 임의의 벡터 __x__, __y__와 임의의 스칼라 α에 대해 다음와 같은 [[선형성,linearity]]을 가진다.
- 평행성,parallelism . . . . 2 matches
(시점이 같은 벡터라면 collinear. [[collinearity]])
- 해집합,solution_set . . . . 2 matches
The set of all possible solutions of a linear system.
[[선형계,linear_system]]
- 행렬,matrix . . . . 2 matches
[[랭크,rank]] =랭크,rank =,rank . 랭크 rank (rank of linear algebra.) /// or matrix_rank ? ... 행렬의 rank만 별도page로 독립해야 한다면.
Up: [[선형대수,linear_algebra]]
- TmpExcerpts . . . . 1 match
||$O(n)$ ||2배 커진다 ||선형 linear ||
- WebPagesReading . . . . 1 match
주제: [[선형대수,linear_algebra]] [[수리물리]] mathematical_physics 였나? Ndict:수리물리학 - Yes.
- 가정,assumption . . . . 1 match
특히 선대를 응용하는 쪽에선 ... [[함수,function]] [[변환,transformation]]....을 선형적이다([[선형성,linearity]] 함수이다/변환이다/...)로 '''가정'''하는 경우가 많다
- 계량,metric . . . . 1 match
KmsE:isomet - [[등거리변환,isometry]] [[선형등장사상,linear_isometry]] 이런 inconsistency도 보인다 (kms에 너무 의존해선 안됨) ...
- 고정점,fixed_point . . . . 1 match
is a fixed point of a linear transformation (map)
- 끌개,attractor . . . . 1 match
Such behavior is exhibited in some nonlinear systems.
- 다양체,manifold . . . . 1 match
MKL locally_linear_embedding (LLE)
- 동역학,dynamics . . . . 1 match
[[비선형동역학,nonlinear_dynamics]] w
- 동차미분방정식,제차미분방정식,homogeneous_differential_equation . . . . 1 match
QQQ 1 : [[선형미방linear_DE]]에서만 homogeneous_DE 가 정의되는건지 아님 다른 경우가 있는지?
- 래티스,lattice . . . . 1 match
[[벡터,vector]]([[기저,basis]])의 정수배 [[선형결합,linear_combination]]?
- 마이너,minor . . . . 1 match
[[선형대수,linear_algebra]]
- 메모리,memory . . . . 1 match
IA-64 defines a single, uniform, linear address space of 264 bytes.[* https://www.cs.nmsu.edu/~rvinyard/itanium/ia64wbts/arch_mod/main/main_arc.htm]
- 모먼트moment . . . . 1 match
[[VG:선운동량,linear_momentum]] p
- 물리physics . . . . 1 match
인데 이것보단 이것의 선형조합(linear combination)인
- 미분,differential . . . . 1 match
[[선형화,linearization]]하다가 나온 얘긴데
- 미분연산자,differential_operator . . . . 1 match
[[선형미분연산자linear_differential_operator]] $L$
- 베르누이미분방정식 . . . . 1 match
$n=0,1$ 일 때는 [[선형미방linear_DE]].
- 분해,decomposition . . . . 1 match
[[선형대수,linear_algebra]]에서
- 붕괴,decay . . . . 1 match
linear growth , refers to two distinct but related notions
- 상관계수,correlation_coefficient . . . . 1 match
두 RV간의 linear relationship의 strength와 direction에 대해 알아내는 방법 중 하나
- 선형대수,linear_algebra . . . . 1 match
Twin: [[VG:선형대수,linear_algebra]]
- 성질,property . . . . 1 match
ex. 두 가지 그 [[성질,property]]([[additivity]] + [[homogeneity]]였나?)을 만족시키면 → [[선형성,linearity]]이라는 하나의 성질도 자동적으로 추가로 만족시키는 것.
- 순서기저,ordered_basis . . . . 1 match
[[선형대수,linear_algebra]]
- 시간,time . . . . 1 match
[[linear_time]]
- 시간복잡도,time_complexity . . . . 1 match
== linear time ==
- 아핀결합,affine_combination . . . . 1 match
MKL [[선형결합,linear_combination]]
- 안정성,stability . . . . 1 match
다른 [[시스템,system]]의 성질들: [[선형성,linearity]] [[homogeneity]] { 동질성/동차성/비례성 , 미방에서는 '제차성' 이라고도 번역? ... rel. scaling... via http://www.ktword.co.kr/test/view/view.php?m_temp1=6336&id=673 } [[시불변성,time_invariance]] [[인과성,causality]] etc - 이것들 나열할 필요는 없고 categorize해야할듯...
- 앨지브라,algebra . . . . 1 match
1. A linear algebra such that its non-zero vectors form a [[multiplicative_group]].
- 연립일차방정식과_행렬 . . . . 1 match
Up: [[선형대수,linear_algebra]]
- 위상,topology . . . . 1 match
''그러게 linear_algebra 에서도 같은 용어를 쓰는데 ... page 어떻게 나눌? [[부분공간,subspace]](cur. [[VG:부분공간,subspace]]) 페이지는 누구꺼?''
- 유클리드_공간,Euclidean_space . . . . 1 match
[[선형공간,linear_space]] $\mathbb{R}^4$ 에 특정한 WpKo:쌍선형_형식
- 이진탐색,binary_search . . . . 1 match
The time complexity of operations on the binary search tree is linear with respect to the height of the tree."
- 일계선형미방first-order_linear_DE . . . . 1 match
Up: [[선형미방linear_DE]]
- 정현파,sinusoidal_wave . . . . 1 match
모든 [[주기함수,periodic_function]]{[[VG:주기함수,periodic_function]]}는 '''정현파'''들의 [[선형결합,linear_combination]]으로 나타낼 수 있다.
- 조합,combination . . . . 1 match
algebra > linear algebra : 결합
- 테일러_다항식,Taylor_polynomial . . . . 1 match
||1 [[하나,one]] ||일차 ||? =linear? || || || ||
- 텐서플로,TensorFlow . . . . 1 match
[[선형회귀,linear_regression]]
- 트리,tree . . . . 1 match
linear_search 보다 좋다.. why? tbw.
- 프랙털,fractal . . . . 1 match
"‘프랙탈fractal’이라는 용어는 프랑스의 수학자 망델브로B. Mandelbrot가 1970년대 비선형 동역학nonlinear_dynamics의 시간매개형 궤적 ''trajectory, locus''에서 관측되는
- 프리딕터,predictor . . . . 1 match
best linear predictor 최적 선형예견자, 최적 선형예상
- 피벗,pivot . . . . 1 match
수학에 [[선형대수,linear_algebra]]에서의 뜻과 - 이땐 [[피벗원소,pivot_element]] =피벗원소,pivot_element =,pivot_element 피벗원소 pivot_element { 와 항상동의어인지 chk... https://en.wikipedia.org/wiki/Pivot_element }
- 함수,function . . . . 1 match
1차이면 linear function
- 함수공간,function_space . . . . 1 match
Up: [[함수,function]] [[공간,space]] topological_vector_space ( [[벡터공간,vector_space]] and [[위상공간,topological_space]]?? ) [[선형대수,linear_algebra]]? [[함수해석,functional_analysis]]?
- 호지_추측,Hodge_conjecture . . . . 1 match
[[유리수,rational_number]] [[계수,coefficient]] [[선형결합,linear_combination]]
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