For instance, in topology, it can be used to compute the homology of a simplicial complex or CW complex over the integers, because the boundary maps in such a complex are just integer matrices.
32.
A boundary map showing these details was signed on the 7 January 1905 by the Boundary Commissioners, Harry Innis Perkins and Charles Wilgress Anderson of Great Britain and Abraham Tirado and Elias Zoro of Venezuela.
33.
Since we assumed that the boundary map was compatible with the filtration, " E " 0 is a doubly graded object and there is a natural doubly graded boundary map " d " 0 on " E " 0.
34.
Since we assumed that the boundary map was compatible with the filtration, " E " 0 is a doubly graded object and there is a natural doubly graded boundary map " d " 0 on " E " 0.
35.
"Study of Nepal-India Boundary Maps and Documents in the Library of Congress, Washington DC-USA, 25 May to 14 June 1999, 6 20 November 2000, 8 29 October 2003, 21 to 30 June 2007, 29 September to 13 October 2009 and 9 13 June 2011.
36.
The notification includes a description of the land and the natural features for which it is notified ( " the citation " ), a boundary map, and a list of the acts or omissions ( activities ) that the nature conservation body regulates through the issue of consents.
37.
The isomorphism with singular homology can also be proved by demonstrating an isomorphism with cellular homology, by viewing an unstable manifold associated to a critical point of index " i " as an " i "-cell, and showing that the boundary maps in the Morse and cellular complexes correspond.
38.
District 196 has 18 elementary schools ( grades k-5 ), six middle schools ( grades 6-8 ), and four high schools ( grades 9-12 ), the School of Environmental Studies optional high school ( grades 11-12 ), the Area Learning Center alternative high school ( grades 9-12 ) and Dakota Ridge special education school ( grades k-12 ) . ( School attendance boundary maps and address search)
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