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dc.contributor.authorKornbluth, Yitzhak
dc.descriptionThe file is restricted for YU community access only.
dc.description.abstractOne familiar concept from geometry is that of flat spaces such as lines and planes. By analogy, we can consider higher-dimensional analogues, as well as the 0-dimensional equivalent, which is easily shown to be a point.1 An n-dimensional space of this type is symbolized as Rn ; since all such spaces are identical for a given n, it is treated as a single object rather than a category. Extending the analogy, just as we can consider a line drawn through the origin of a 2-dimensional graph, we can consider a copy of R k going through the origin of Rn (for k<n). We can similarly consider the set of all such copies of Rk for a given k and n. Such a copy of Rk going through the origin of Rn is known as a linear subspace of Rn , and the set of all such linear subspaces is known as a Grassmanian and denoted Gr(n,k). These linear subspaces can in turn have lower-dimensional subspaces of their own; the resultant structure shows certain similarities to the structure of subsets of a given set .en_US
dc.description.sponsorshipJay and Jeanie Schottenstein Honors Programen_US
dc.publisherYeshiva Collegeen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.subjectGeometric probabilities.en_US
dc.subjectGrassmann manifolds.en_US
dc.titleAn Analysis of the Measure of [A]l in Geometric Probabilityen_US

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Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 United States