#noindex <> = CHK: = [[벡터공간,vector_space]]에서 정의? 벡터공간에 노름이 있으면 [[노름공간,normed_space]] = [[노름벡터공간,normed_vector_space]]? = tmp; MW = // mw [[복소수,complex_number]]의 '''norm'''은 complex_modulus (aka complex_norm ) https://mathworld.wolfram.com/ComplexModulus.html [[사원수,quaternion]]의 '''norm'''은 https://mathworld.wolfram.com/QuaternionNorm.html = Sub = [[유클리드_노름,Euclidean_norm]] - w aka L2_norm ? ''그럼 pagename normalization rule for '''norms'''? == vector norm == [[vector_norm]] =,vector_norm . vector_norm WtEn:vector_norm ? WpSp:vector_norm ?? WpEn:vector_norm ???jkjkjkjkjk L1_norm = L1 norm = 맨해튼/taxicab norm Ggl:"taxicab norm" ..... rel. L1 distance = L1_distance = Manhattan_distance [[맨해튼_거리,Manhattan_distance]] =맨해튼_거리,Manhattan_distance [[Manhattan_distance]] =,Manhattan_distance . Manhattan_distance { WtEn:Manhattan_distance WpKo:맨해튼_거리 WpSp:Manhattan_distance ?ggggggggggg WpEn:Manhattan_distance ? fffffffffff [[거리,distance]] [[VG:거리,distance]] } https://mathworld.wolfram.com/L1-Norm.html Semitwins: [[https://terms.naver.com/entry.naver?docId=6653637&cid=69974&categoryId=69974 AI 용어사전: 맨하탄 거리]] L2 norm = Euclidean_norm ... rel. Euclidean_distance https://mathworld.wolfram.com/L2-Norm.html Lp_norm ? pagname ?? Lp norm infinity_norm ... tmp see https://blog.naver.com/waterforall/223058427336 https://mathworld.wolfram.com/L-Infinity-Norm.html https://mathworld.wolfram.com/VectorNorm.html == matrix norm == '''matrix norm''' [[matrix_norm]] https://mathworld.wolfram.com/MatrixNorm.html (double bar, 그 외는 single bar) "matrix norm" Ndict:"matrix norm" iiiiiiiiiii == p-adic norm == [[p-adic_norm]] https://mathworld.wolfram.com/p-adicNorm.html p진노름 ? "p-adic norm" Ndict:"p-adic norm" == polynomial norm == '''polynomial norm''' 다항식노름 ? [[다항식노름,polynomial_norm]] - w; curr see https://mathworld.wolfram.com/PolynomialNorm.html "polynomial norm" Naver:"polynomial norm" Ggl:"polynomial norm" == t-norm, triangular norm == [[t-norm]] [[t노름,t-norm]] ? WtEn:t-norm ? Ggl:"t-norm, triangular norm" Ggl:"t-norm" Ggl:"triangular norm" Rel [[퍼지논리,fuzzy_logic]] esp [[t노름퍼지논리,t-norm_fuzzy_logic]] see WtEn:t-norm_fuzzy_logic ([[Date(2023-11-22T12:45:48)]]) "Any kind of fuzzy logic whose semantics^^([[시맨틱스,semantics]])^^ valuates^^([[valuation]] ... curr at [[평가,evaluation?action=highlight&value=,valuation]]맨아래)^^ [conjunction]s by means of t-norms." == ADDHERE == == ADDHERE == == ADDHERE == == ADDHERE == ADDHERE ADDHERE = MKL = [[노름공간]] { Ndict:노름공간 Ggl:노름공간 노름공간 KmsK:노름공간 = https://www.kms.or.kr/mathdict/list.html?key=kname&keyword=노름공간 { 2023-10-30 현재 3개: complete normed space 완비노름공간 // [[완비노름공간,complete_normed_space] =완비노름공간,complete_normed_space =,complete_normed_space . 완비노름공간 complete_normed_space { complete normed space WtEn:complete_normed_space ? Ndict:완비노름공간 } '''normed space 노름공간''' real normed space 실노름공간 // [[실노름공간,real_normed_space]] =실노름공간,real_normed_space =,real_normed_space 실노름공간 real_normed_space { real normed space WtEn:real_normed_space ? Ndict:실노름공간 } } } [[바나흐_공간,Banach_space]] { Ndict:"바나흐 공간" Ggl:"바나흐 공간" "바나흐 공간" } = 기타 , cmp = == seminorm == KmsE:seminorm https://mathworld.wolfram.com/Seminorm.html https://encyclopediaofmath.org/wiki/Semi-norm == conorm == [[conorm]] =,conorm =,conorm . conorm KmsE:conorm ? https://en.wiktionary.org/wiki/conorm === t-conorm, triangular conorm === [[t-conorm]] WtEn:t-conorm = https://en.wiktionary.org/wiki/t-conorm Cmp [[t-norm]] Ggl:"t-conorm, triangular conorm" Ggl:"t-conorm" Ggl:"triangular conorm" rel [[퍼지논리,fuzzy_logic]] = Twins = [[WtEn:norm]] https://mathworld.wolfram.com/Norm.html https://encyclopediaofmath.org/wiki/Norm https://ncatlab.org/nlab/show/norm [[VG:노름,norm]] [[Namu:노름(수학)]] {" [[거리,distance]]의 [[일반화,generalization]]가 [[거리함수,distance_function]]{ Namu:거리함수 }, 혹은 [[metric]]라면 // WtEn:distance_function WtEn:metric#Noun 2. (네 개의 조건으로 정의됨) Ggl:"distance function and metric" Ggl:"거리함수 metric 차이" '''노름'''은 [[크기,size]]의 일반화다. 세 조건으로 정의되며 두개만 만족하면 [[반노름,seminorm]] { KmsE:seminorm Ggl:seminorm+정의 Bing:seminorm+정의 } "} [[https://terms.naver.com/entry.naver?docId=6653587&cid=69974&categoryId=69974 AI 용어사전: 놈]] 특성: (? 공리?) 1. absolute homogeneity = absolute_homogeneity [[동차성,homogeneity]] 2. [[삼각부등식,triangle_inequality]] 성립 3. 오직 원점에서만 그 값이 0임 [[WpSp:Norm_(mathematics)]] = https://simple.wikipedia.org/wiki/Norm_(mathematics) [[WpEn:Norm_(mathematics)]] = https://en.wikipedia.org/wiki/Norm_(mathematics)