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A Double Integral
Author(s) -
Hardy G. H.
Publication year - 1947
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s1-22.4.242
Subject(s) - citation , library science , computer science , mathematics , arithmetic
and if xj 1 rj xj for all j = 1; :::;m: Moreover, if we let xj = xj xj 1, then the partition is said to be h-
ne if xj h for all j = 1; : : : ; n: If fx0; xj ; rjg ; j = 1; : : : ;m; is an h-
ne tagged partition of [a; b] ; and if fy0; yk; tkg ; k = 1; : : : ; n is a l-
ne tagged partition of [c; d] ; then the rectangles [xj 1; xj ] [yk 1; yk] partition the rectangle [a; b] [c; d] and the points (rj ; tk) are inside the rectangles [xj 1; xj ] [yk 1; yk] :