Matches in SemOpenAlex for { <https://semopenalex.org/work/W1101150> ?p ?o ?g. }
Showing items 1 to 69 of
69
with 100 items per page.
- W1101150 endingPage "159" @default.
- W1101150 startingPage "141" @default.
- W1101150 abstract "Suppose that ( mathcal{A}_N ) is a distribution of N > 1 points, not necessarily distinct, in the n-dimensional unit cube U n = [0, l) n , where n ≥ 2. We consider the L2-discrepancy $$ mathcal{L}_2 left[ {mathcal{A}_N } right] = left( {intlimits_{U^n } {left| {mathcal{L}left[ {mathcal{A}_N ;Y} right]} right|} ^2 dY} right)^{1/2} , $$where for every Y = (y1,..., y n) ∈ U n , the local discrepancy ( mathcal{L}left[ {mathcal{A}_N ;Y} right] ) is given by $$ mathcal{L}left[ {mathcal{A}_N ;Y} right] = # left( {mathcal{A}_N cap B_Y } right) - N vol B_Y . $$Here $$ B_Y = left[ {0,y_1 } right) times ldots times left[ {0,y_n } right) subseteq U^n $$is a rectangular box of volume vol By = y1... y n , and #(S) denotes the number of points of a set S, counted with multiplicity." @default.
- W1101150 created "2016-06-24" @default.
- W1101150 creator A5040159281 @default.
- W1101150 creator A5073420019 @default.
- W1101150 date "2008-08-20" @default.
- W1101150 modified "2023-10-17" @default.
- W1101150 title "Orthogonality and Digit Shifts in the Classical Mean Squares Problem in Irregularities of Point Distribution" @default.
- W1101150 cites W2063028203 @default.
- W1101150 cites W2082149578 @default.
- W1101150 cites W2100079498 @default.
- W1101150 cites W225736130 @default.
- W1101150 cites W2329428989 @default.
- W1101150 cites W4229768860 @default.
- W1101150 cites W4229899344 @default.
- W1101150 cites W86370709 @default.
- W1101150 doi "https://doi.org/10.1007/978-3-211-74280-8_7" @default.
- W1101150 hasPublicationYear "2008" @default.
- W1101150 type Work @default.
- W1101150 sameAs 1101150 @default.
- W1101150 citedByCount "15" @default.
- W1101150 countsByYear W11011502012 @default.
- W1101150 countsByYear W11011502013 @default.
- W1101150 countsByYear W11011502014 @default.
- W1101150 countsByYear W11011502015 @default.
- W1101150 countsByYear W11011502018 @default.
- W1101150 crossrefType "book-chapter" @default.
- W1101150 hasAuthorship W1101150A5040159281 @default.
- W1101150 hasAuthorship W1101150A5073420019 @default.
- W1101150 hasConcept C105795698 @default.
- W1101150 hasConcept C110121322 @default.
- W1101150 hasConcept C134306372 @default.
- W1101150 hasConcept C17137986 @default.
- W1101150 hasConcept C185429906 @default.
- W1101150 hasConcept C2524010 @default.
- W1101150 hasConcept C28719098 @default.
- W1101150 hasConcept C33923547 @default.
- W1101150 hasConcept C94375191 @default.
- W1101150 hasConcept C94957134 @default.
- W1101150 hasConcept C9936470 @default.
- W1101150 hasConceptScore W1101150C105795698 @default.
- W1101150 hasConceptScore W1101150C110121322 @default.
- W1101150 hasConceptScore W1101150C134306372 @default.
- W1101150 hasConceptScore W1101150C17137986 @default.
- W1101150 hasConceptScore W1101150C185429906 @default.
- W1101150 hasConceptScore W1101150C2524010 @default.
- W1101150 hasConceptScore W1101150C28719098 @default.
- W1101150 hasConceptScore W1101150C33923547 @default.
- W1101150 hasConceptScore W1101150C94375191 @default.
- W1101150 hasConceptScore W1101150C94957134 @default.
- W1101150 hasConceptScore W1101150C9936470 @default.
- W1101150 hasLocation W11011501 @default.
- W1101150 hasOpenAccess W1101150 @default.
- W1101150 hasPrimaryLocation W11011501 @default.
- W1101150 hasRelatedWork W1966027974 @default.
- W1101150 hasRelatedWork W1976097360 @default.
- W1101150 hasRelatedWork W2002939363 @default.
- W1101150 hasRelatedWork W2016979903 @default.
- W1101150 hasRelatedWork W2041181257 @default.
- W1101150 hasRelatedWork W2074003284 @default.
- W1101150 hasRelatedWork W2311267353 @default.
- W1101150 hasRelatedWork W2802097448 @default.
- W1101150 hasRelatedWork W3045424554 @default.
- W1101150 hasRelatedWork W3215798057 @default.
- W1101150 isParatext "false" @default.
- W1101150 isRetracted "false" @default.
- W1101150 magId "1101150" @default.
- W1101150 workType "book-chapter" @default.