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Measures on the Closed Subspaces of a Hilbert Space
In his investigations of the mathematical foundations of quantum mechanics, Mackey1 has proposed the following problem: Determine all measures on the closed subspaces of a Hilbert space. A measure onExpand
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Combinatorial Relations and Chromatic Graphs
1. Introduction. The following elementary logical problem was a question in the William Lowell Putnam Mathematical Competition held in March 1953 (1): Six points are in general position in space (noExpand
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Groups Without Small Subgroups
A topological group is said to have small subgroups if every neighborhood of the identity contains an entire subgroup of more than one element. It is easily deduced from the structure of theExpand
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The William Lowell Putnam Mathematical Competition
The shock absorber comprises a metal strip which includes a bend and two legs extending from said bend and including an angle at said bend. Said legs are profiled in cross-section opposite to eachExpand
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Effects of different regimens to lower blood pressure on major cardiovascular events in older and younger adults: meta-analysis of randomised trials
Objective To quantify the relative risk reductions achieved with different regimens to lower blood pressure in younger and older adults. Design Meta-analyses and meta-regression analyses used toExpand
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COVERS AND PACKINGS IN A FAMILY OF SETS
1. For a finite set 5 of elements and a family F of subsets of S, a cover C of S from F is a subfamily CC.F such that U ( 0 = S. A cover C is called minimum if its cardinality \C\ is as small asExpand
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Calculus 6th ed.
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ON GROUPS OF HOMEOMORPHISMS
This chapter discusses a group of homeomorphisms of a topological space. A topological geometry is defined as a topological space in which certain lines (homeomorphisms of the ordinary line) areExpand
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