mkl
[[테일러_급수,Taylor_series]]
[[테일러_정리,Taylor_theorem]]
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차동우 물리1 벡터 (3) 강의 중에서.

$f(t+dt)$
 $=f(t)$
 $+\left[\frac{df}{dt}\right]_{t}dt$
 $+\frac1{2!}\left[\frac{d^2f}{dt^2}\right]_{t}(dt)^2$
 $+\frac1{3!}\left[\frac{d^3f}{dt^3}\right]_{t}(dt)^3$
 $+\cdots$

$f(x,y)$
$df=f(x+dx,\,y+dy)-f(x,\,y)$
 $=\frac{\partial f}{\partial x}dx+\frac{\partial f}{\partial y}dy$


Linked from [[VG:테일러_다항식,Taylor_polynomial]]
----
[[다항식,polynomial]] - [[VG:다항식,polynomial]] =다항식,polynomial =,polynomial 다항식 polynomial
{

Sub:

https://mathworld.wolfram.com/UnivariatePolynomial.html
 KmsE:"Univariate Polynomial" = https://www.kms.or.kr/mathdict/list.html?key=ename&keyword=Univariate+Polynomial x [[Date(2023-11-08T21:03:55)]]
 Try KmsE:Univariate KmsE:polynomial
 Srch:univariate

https://mathworld.wolfram.com/MultivariatePolynomial.html
 KmsE:multivariate

// univariate bivariate multivariate 에 대해 curr goto [[변수,variable]]맨 위. ([[Date(2023-11-08T21:03:55)]])

[[다항식환,polynomial_ring]] =다항식환,polynomial_ring =,polynomial_ring 다항식환 polynomial_ring ? - Yes, Name confirmed via KmsE:"polynomial ring" at [[Date(2023-11-07T09:47:57)]]
{
'''polynomial ring'''

WtEn:polynomial_ring = https://en.wiktionary.org/wiki/polynomial_ring

Up:
[[다항식,polynomial]]
[[환,ring]]

Ndict:"polynomial ring" Ndict:다항식환 Ggl:다항식환 Ggl:"polynomial ring"
}

----
TODO 아래 표는 맨 왼쪽 세 [[열,column]]만 언제 채운 다음  [[매크로,macro]] 써서 자동으로 채우는게 좋을듯? 가장 오른쪽에 추가할 컬럼(들)은 뭐가좋을지?
||order? degree? 정확히.||표현(ko) ||표현(en) ||'''다항식,polynomial''' ||해당 [[방정식,equation]] ||해당 [[곡선,curve]] - MW:AlgebraicCurve ||
||0 [[영,zero]] ||영차 ||? constant ? || || || ||
||1 [[하나,one]] ||일차 ||? =linear? || || || ||
||2 [[둘,two]](이거 링크 필요 있나?) ||이차 ||quadratic || || ||MW:QuadraticCurve ||
||3 ||삼차 ||cubic     || || ||MW:CubicCurve ||
||4 ||사차 ||quartic   || || ||MW:QuarticCurve ||
||5 ||오차 ||quintic ? || || ||MW:QuinticCurve ||
||6 ||육차 ||sextic ?  || || ||MathWorld:SexticCurve ||
||7 ||칠차 ||septic ? 이었나 - || ||[* https://ko.wikipedia.org/wiki/칠차_방정식 https://simple.wikipedia.org/wiki/Septic_equation https://en.wikipedia.org/wiki/Septic_equation https://ja.wikipedia.org/wiki/七次方程式 ...etc Ggl:"칠차방정식" Ggl:"septic equation" 근데 패혈증이랑 영어가 똑같네?(see Ndict:septic 어원이 관련있나? 아님 우연히 겹친?) ] || ||
||8 ||팔차 ||octic     || || ||MW:OcticCurve ||
...
[[https://math.stackexchange.com/questions/76533/types-of-polynomial-functions-quadratic-cubic-quartic-quintic algebra precalculus - Types of polynomial functions. Quadratic, cubic, quartic, quintic, ...,? - Mathematics Stack Exchange]]
[[WpEn:Numeral_prefix]] = https://en.wikipedia.org/wiki/Numeral_prefix

WtEn:polynomial
WpEn:Polynomial

Ndict:다항식

Libre:다항식
Namu:다항식 = https://namu.wiki/w/다항식

https://ko.wikipedia.org/wiki/다항식
https://simple.wikipedia.org/wiki/Polynomial
https://en.wikipedia.org/wiki/Polynomial

한국어 번역이 -식 인데 항상 [[식,expression]]?

Sub/topics

[[테일러_다항식,Taylor_polynomial]]

(wk다항식)"최고차항의 계수가 1인 일변수 다항식을 일계수 다항식(또는 모닉 다항식)이라고 한다."
monic polynomial 
https://ko.wikipedia.org/wiki/일계수_다항식
https://en.wikipedia.org/wiki/Monic_polynomial

https://ko.wikipedia.org/wiki/다항식의_나머지_정리
WpSp:Polynomial_remainder_theorem = https://simple.wikipedia.org/wiki/Polynomial_remainder_theorem
https://en.wikipedia.org/wiki/Polynomial_remainder_theorem
polynomial_ring { WpEn:Polynomial_ring = https://en.wikipedia.org/wiki/Polynomial_ring }

Rel
[[계수,coefficient]]
[[가중합,weighted_sum]]? =가중합,weighted_sum =,weighted_sum . weighted_sum  [[가중값,weight]](VG) [[합,sum]] WtEn:weighted_sum Ndict:가중합 Ndict:"weighted sum" Ggl:"weighted sum"
[[기저,basis]]
[[다항함수,polynomial_function]] =다항함수,polynomial_function =,polynomial_function . 다항함수 polynomial_function
 {
 '''다항함수, polynomial function'''
 WtEn:polynomial_function
 [[VG:다항함수,polynomial_function]] - vg에는 페이지는 있으나 내용은 아직 안옮김(at [[Date(2023-08-16T03:46:39)]])
 } // 다항함수 ... Ndict:다항함수 Ggl:다항함수

}