"a multivariate random variable or random vector
is a list or vector of mathematical variables each of whose value is unknown, either because the value has not yet occurred or because there is imperfect knowledge of its value. "

확률벡터,random_vector =확률벡터,random_vector =,random_vector 확률벡터 random_vector
{
random vector
확률벡터 via

random vector.

"random vector"

random vector

random_vector x 2023-12-22
} // random vector
와 동의어?

"multivariate random variable"

multivariate random variable

multivariate random variable
}
다변량분석,multivariate_analysis { Sub: 다변량공분산분석,multivariate_covariance_analysis,MANCOVA ( w rr;

MANCOVA

MANCOVA )

다변량분석

다변량분석 } // 다변량분석

multivariate
= https://en.wiktionary.org/wiki/multivariate

having/involving multiple variables.

Multivariate
= https://mathworld.wolfram.com/Multivariate.html

Multivariate
= https://en.wikipedia.org/wiki/Multivariate

...

Multivariate

proofwiki Multivariate
}

1. Sub

1.1. random variable (RV) 확률변수

1.2. register variable 레지스터변수

1.3. pointer

1.4. (discrete vs continuous:)

1.5. discrete variable 이산

1.6. continuous variable 연속

1.7. (local vs nonlocal vs global:)

1.8. local variable 지역변수

1.9. non-local variable

1.10. global variable 전역변수

1.10.1. (+ global static variable or static global variable)

1.11. automatic variable 자동변수

1.12. static variable 정적변수

1.12.1. (+ static global variable)

1.13. external variable 외부변수

1.14. class variable 클래스변수

1.15. instance variable 인스턴스변수

1.16. member variable

1.17. undefined variable

1.18. own variable

1.19. environment variable 환경변수

1.20. (free vs bound:)

1.21. free variable 자유변수?

1.22. bound variable

1.23. dummy variable

1.24. state variable

1.25. statement variable

1.26. predicate variable

1.27. (mutable vs immutable:) mutable variable / immutable variable

1.28. schematic variable (logic)

1.29. metavariable

1.30. latent variable

1.31. ADDHERE

1.32. ADDHERE

2. Topics

2.1. variable initialization 변수초기화
2.2. uninitialized variable 초기화되지않은변수?
2.3. 변수변환 / 치환 / ....
2.4. scope (TOFORK)

3. MKLINK

4. Twins

[edit]

1. Sub ¶

Sub:

[edit]

1.1. random variable (RV) 확률변수 ¶

random
random variable (RV)

random_variable
=,random_variable =,RV .
확률변수,RV -

확률변수,random_variable

[edit]

1.2. register variable 레지스터변수 ¶

register
register variable
register_variable
=레지스터변수,register_variable =,register_variable .
page exists: 레지스터_변수,register_variable <- rename pagename

[edit]

1.3. pointer ¶

pointer
포인터,pointer : 메모리주소,memory_address를 담는 변수.

pointer_variable ?

pointer_variable

pointer

[edit]

1.4. (discrete vs continuous:) ¶

Continuous_or_discrete_variable

[edit]

1.5. discrete variable 이산 ¶

Continuous_or_discrete_variable#Discrete_variable = https://en.wikipedia.org/wiki/Continuous_or_discrete_variable#Discrete_variable

[edit]

1.6. continuous variable 연속 ¶

discrete
continuous
이산변수,discrete_variable 연속변수,continuous_variable
{

discrete variable : 이산변수

continuous variable : 연속변량, 연속변수

discrete_variable

continuous_variable

MKL
이산확률변수,discrete_random_variable

이산확률변수,discrete_random_variable
연속확률변수,continuous_random_variable

연속확률변수,continuous_random_variable

Up:
이산성,discreteness 이산성,discreteness

discreteness
연속성,continuity 연속성,continuity

continuity
}

[edit]

1.7. (local vs nonlocal vs global:) ¶

[edit]

1.8. local variable 지역변수 ¶

local variable
지역변수,local_variable
{
local variable

scope가

Sub:
static_local_variable or local_static_variable

https://gunkies.org/wiki/Local_variable

local variable (also called automatic storage, etc)

지역_변수
= https://ko.wikipedia.org/wiki/지역_변수

Local_variable
= https://en.wikipedia.org/wiki/Local_variable
} // local variable ....

local variable

[edit]

1.9. non-local variable ¶

nonlocal
non-local
non-local_variable
{
비지역변수?

Non-local_variable

= https://en.wikipedia.org/wiki/Non-local_variable

}

[edit]

1.10. global variable 전역변수 ¶

[edit]

1.10.1. (+ global static variable or static global variable) ¶

global
global variable
전역변수,global_variable =전역변수,global_variable =,global_variable .
{

Sub:
static_global_variable or global_static_variable { Up: static_variable global_variable }

전역_변수

= https://ko.wikipedia.org/wiki/전역_변수

Global_variable

= https://en.wikipedia.org/wiki/Global_variable

}

[edit]

1.11. automatic variable 자동변수 ¶

automatic variable
자동변수,automatic_variable
{
MKLINK
local_variable - 저게 더 일반적. static local variable도 있으므로.
호출스택,call_stack

Twins:

자동_변수

= https://ko.wikipedia.org/wiki/자동_변수

Automatic_variable

= https://en.wikipedia.org/wiki/Automatic_variable

...

자동변수

automatic.variable
}

[edit]

1.12. static variable 정적변수 ¶

[edit]

1.12.1. (+ static global variable) ¶

static variable
정적변수,static_variable
{

Sub:
static_global_variable {

Static_variable#Static_global_variable }

MKLINK
정적메소드,static_method
정적클래스,static_class

참고: static keyword

Static_(키워드)

Static_(keyword)

Twins:

Static_variable

= https://en.wikipedia.org/wiki/Static_variable

정적_변수

= https://ko.wikipedia.org/wiki/정적_변수

}

[edit]

1.13. external variable 외부변수 ¶

external variable
외부변수,external_variable =외부변수,external_variable =,external_variable .
{

external_variable

External_variable

= https://en.wikipedia.org/wiki/External_variable

}

[edit]

1.14. class variable 클래스변수 ¶

class variable
클래스변수,class_variable =클래스변수,class_variable =,class_variable .
{
MKLINK
클래스,class
클래스메소드,class_method

클래스_변수

= https://ko.wikipedia.org/wiki/클래스_변수

Class_variable

= https://en.wikipedia.org/wiki/Class_variable

}

[edit]

1.15. instance variable 인스턴스변수 ¶

instance variable
인스턴스변수,instance_variable
{

MKLINK
인스턴스,instance
인스턴스메소드,instance_method

인스턴스_변수

= https://ko.wikipedia.org/wiki/인스턴스_변수

Instance_variable

= https://en.wikipedia.org/wiki/Instance_variable

....

인스턴스변수

instance.variable
}

[edit]

1.16. member variable ¶

member variable
member - 멤버,member 구성원,member ?
member_variable =,member_variable =,member_variable .
{
멤버변수?

멤버_변수

= https://ko.wikipedia.org/wiki/멤버_변수

Member_variable

= https://en.wikipedia.org/wiki/Member_variable

...

member.variable
}

[edit]

1.17. undefined variable ¶

undefined variable
undefined_variable
{
MKLINK
정의,definition
선언,declaration

비정의 ?
정의되지않은 ?

Undefined_variable

= https://en.wikipedia.org/wiki/Undefined_variable

}

[edit]

1.18. own variable ¶

own variable
own_variable
{
알골,ALGOL
https://www.pls-lab.org/en/Own_variables
historical. 단점 설명되어있음. QQQ 근데 static_variable 과 정확한 차이가 뭐지?
...

algol own variable
}

[edit]

1.19. environment variable 환경변수 ¶

environment variable
environment
환경,environment
셸,shell
환경변수,environment_variable =환경변수,environment_variable =,environment_variable .
{

환경_변수

= https://ko.wikipedia.org/wiki/환경_변수

Environment_variable

= https://en.wikipedia.org/wiki/Environment_variable

p OsEnvironmentVariables

Up: 환경,environment 변수,variable
}

[edit]

1.20. (free vs bound:) ¶

(lambda_calculus에서)

abstraction = binding free variable.
추상화,abstraction : to bind the free variable $\displaystyle x$ in $\displaystyle M.$
e.g.

$\displaystyle \lambda x.yx$

여기서 $\displaystyle x$ : bound_variable $\displaystyle y$ : free_variable 임.
치환,substitution $\displaystyle [x:=N]$ 은 오로지 x의 free occurrences일 때만 수행된다. ("only performed in the free occurrences of x:")

$\displaystyle yx(\lambda x.x)[x:=N]\equiv yN(\lambda x.x)$

미적분학에서도 비슷한 variable_binding =,variable_binding =,variable_binding . variable_binding

{
variable binding

variable_binding
} // variable binding

variable binding

variable binding ....

변수 바인딩

이 있다.

$\displaystyle \int_a^b f(x,y)dx$ 에서 : $\displaystyle x$ is bound, $\displaystyle y$ is free.

It does not make sense to substitute 7 for $\displaystyle x:$

$\displaystyle \int_a^b f(7,y)d7$

but substitution for $\displaystyle y$ makes sense:

$\displaystyle \int_a^bf(x,7)dx$

위생(hygiene)의 이유로, 특정 식에서 일어나는^occurs bound variables는 항상 free variables와 다르다고 가정한다.
이것은 bound variables의 이름바꾸기^renaming을 통해 확실히 확인 가능(...맞나? 혹은 '이름바꾸기를 해도 만족' 정도가 적당? ^{can be fulfilled})하다.
e.g. λx.x becomes λy.y
다음 식도 마찬가지 방식.

(λx.x)a = a = (λy.y)a

사실 그들은 같은 algorithm을 표시한다^denote. 그래서 bound variables 이름만 다른 식,expressions들은 동일하다^{are identified}.

from (Barendregt 2000 p7) Free and bound variables

[edit]

1.21. free variable 자유변수? ¶

free
free variable
자유변수,free_variable =자유변수,free_variable =,free_variable . free_variable
{
free variable

free_variable
= https://en.wiktionary.org/wiki/free_variable

FreeVariable
= https://mathworld.wolfram.com/FreeVariable.html

https://wiki.haskell.org/Free_variable

MKLINK free_expression, maximal_free_expression - curr 식,expression

https://encyclopediaofmath.org/wiki/Free_variable

자유_변수와_종속_변수
= https://ko.wikipedia.org/wiki/자유_변수와_종속_변수

자유변수 free variable : 상수로 치환 가능(? 상수,constant로 치환,substitution해도 식의 의미_semantics?가 변하지 않는다고 해야 명확하지 않나??)
종속변수 bound variable : 상수로 치환하면 수식이 본래 의미를 잃게 되는 변수
종속변수 대신 가변수 dummy_variable 라고도 하나, 이는 회귀분석,regression_analysis 용어로 더 많이 쓰인다
programming/소스코드/...에서 자유변수 : 전역변수,global_variable (i.e. 바깥에서 정의된), 종속변수: 지역변수,local_variable이다 (? rationale?)

Free_variables_and_bound_variables
= https://en.wikipedia.org/wiki/Free_variables_and_bound_variables

https://planetmath.org/FreeAndBoundVariables

"free variable"

free variable

free variable
}

[edit]

1.22. bound variable ¶

bound
bound variable
bound_variable =,bound_variable =,bound_variable . bound_variable
{
이건 종속변수 (wpko) 라 하는데 이게 최선인가? dependent_variable 과 겹침.
묶인변수 는 어떤가?
고정변수 ?
속박변수 - 도 보임

bound_variable

(TO CMP)

자유_변수와_종속_변수 (free vs bound)

독립변수와_종속변수 (indep vs dep)

https://mathworld.wolfram.com/BoundVariable.html
https://encyclopediaofmath.org/wiki/Bound_variable

자유_변수와_종속_변수
https://planetmath.org/FreeAndBoundVariables
}

[edit]

1.23. dummy variable ¶

dummy variable
dummy
dummy_variable =,dummy_variable =,dummy_variable .
{

dummy_variable

see

자유_변수와_종속_변수 "종속 변수 대신 가변수(假變數, 영어: dummy variable)라고도 하나, ..."
bound_variable을 dummy variable이라고 부르기도 함.[1]
https://mathworld.wolfram.com/DummyVariable.html
}

Dummy_variable_(statistics)
= https://en.wikipedia.org/wiki/Dummy_variable_(statistics)
= https://en.wikipedia.org/wiki/Dummy_variable_(statistics)

[edit]

1.24. state variable ¶

state variable
state
state_variable
상태변수,state_variable - 상태,state

[edit]

1.25. statement variable ¶

statement_variable - 명제논리,propositional_logic의 variable(변수/변항/....). - curr at 명제논리,propositional_logic?action=highlight&value=statement_variable

[edit]

1.26. predicate variable ¶

predicate
predicate variable
predicate_variable
술어,predicate
predicate_variable - curr at 술어,predicate

[edit]

1.27. (mutable vs immutable:) mutable variable / immutable variable ¶

mutable vs immutable
mutable variable
mutable_variable
immutable variable
immutable_variable
mutability
immutability
mutation

mutable variable / immutable variable

cf. 불변성,invariance and invariant ... 불변량,invariant?

[edit]

1.28. schematic variable (logic) ¶

schematic_variable =,schematic_variable =,schematic_variable . schematic_variable
{
schematic variable

schematic_variable = https://en.wiktionary.org/wiki/schematic_variable

"A variable that appears in an axiom schema and ranges over formulas, distinguished from the variables of the axiom schema that are quantified over and that range over the individuals of the universe of discourse."

Schematic_variable redir to

Metavariable

schematic variable

schematic variable
}

[edit]

1.29. metavariable ¶

metavariable =,metavariable =,metavariable . metavariable
MKL schematic_variable (바로위section)

~~Metavariable~~ x <- wt는 capitalization 중요.(wp와 달리.)

메타변수 ??

[edit]

1.30. latent variable ¶

latent variable

latent_variable

MKL
latent_space

// latent variable ....

latent variable

[edit]

1.31. ADDHERE ¶

[edit]

1.32. ADDHERE ¶

ADDHERE
ADDHERE
ADDHERE

[edit]

2. Topics ¶

[edit]

2.1. variable initialization 변수초기화 ¶

variable initialization
variable_initialization - 초기화,initialization
{
변수초기화
MKLINK
constructor
destruction by destructor {

Object_lifetime#Object_destruction }
finalization by finalizer {

Finalizer }

초기화_(프로그래밍)

= https://ko.wikipedia.org/wiki/초기화_(프로그래밍)

Initialization_(programming)

= https://en.wikipedia.org/wiki/Initialization_(programming)

}

[edit]

2.2. uninitialized variable 초기화되지않은변수? ¶

uninitialized variable
uninitialized_variable
초기화되지않은변수
{
버그,bug의 원인 중 하나.

Uninitialized_variable

= https://en.wikipedia.org/wiki/Uninitialized_variable

uninitialized variable
}

[edit]

2.3. 변수변환 / 치환 / .... ¶

(Caveat: variable의 값,value이 바뀌는 건 당연한 속성이고(다만 cf. immutable_variable) 이건 값 얘기 아님)

변수변환 / 치환 / ....
variable의 치환/변환/substitution/change/바꾸기/exchange/바꾸기 바꿈 변화시키기 변화하기 .... 변수변환 change_of_variable / variable_change / 변수치환 variable_substitution 중에 pagename?
치환,substitution
change -

change후보:{ 체인지,change 변화,change ... }