Hardness Results for Homology Localization

 
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Old 12-19-2009
Hardness Results for Homology Localization

HPL-2009-374 Hardness Results for Homology Localization - Chen, Chao; Freedman, Daniel
Keyword(s): algebraic topology, homology, localization
Abstract: We address the problem of localizing homology classes, namely, finding the cycle representing a given class with the most concise geometric measure. We focus on the volume measure, that is, the 1-norm of a cycle. Two main results are presented. First, we prove the problem is NP-hard to approximate w ...
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Test::Harness::Results(3pm)				 Perl Programmers Reference Guide			       Test::Harness::Results(3pm)

NAME
Test::Harness::Results - object for tracking results from a single test file SYNOPSIS
One Test::Harness::Results object represents the results from one test file getting analyzed. CONSTRUCTION
new() my $results = new Test::Harness::Results; Create a test point object. Typically, however, you'll not create one yourself, but access a Results object returned to you by Test::Harness::Results. ACCESSORS
The following data points are defined: passing true if the whole test is considered a pass (or skipped), false if its a failure exit the exit code of the test run, if from a file wait the wait code of the test run, if from a file max total tests which should have been run seen total tests actually seen skip_all if the whole test was skipped, this will contain the reason. ok number of tests which passed (including todo and skips) todo number of todo tests seen bonus number of todo tests which unexpectedly passed skip number of tests skipped So a successful test should have max == seen == ok. There is one final item, the details. details an array ref reporting the result of each test looks like this: $results{details}[$test_num - 1] = { ok => is the test considered ok? actual_ok => did it literally say 'ok'? name => name of the test (if any) diagnostics => test diagnostics (if any) type => 'skip' or 'todo' (if any) reason => reason for the above (if any) }; Element 0 of the details is test #1. I tried it with element 1 being #1 and 0 being empty, this is less awkward. Each of the following fields has a getter and setter method. o wait o exit perl v5.10.0 2007-12-18 Test::Harness::Results(3pm)