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Analytic Index.
Using deformation theory we show that this is the analytic index map.
On the other hand, using ideas from noncommutative geometry, we construct the topological index map and prove that it coincides with the analytic index map.
Based on the results of the fragmentation studies, a novel analytic index, the Criticality of Spacecraft Index (CSI), aimed at ranking the environmental criticality of abandoned objects in Low Earth Orbit (LEO), was formulated.
The analytic index of a generalized Toeplitz operator defined in terms of a trace is shown to be equal to minus the topological index of the symbol function of the operator, a result that extends some well-known index theorems.
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Our construction allows to couple the K-theory analytic indices of L-projective leafwise elliptic operators with the twisted cohomology of BG producing scalar higher invariants.
For databases that utilize analytic indexing, like MEDLINE, the NLM Medical Subject Headings Section staff continually revises and updates the MeSH vocabulary.
Computer generation of keywords is referred to as semantic indexing while assigning controlled vocabulary by humans is referred to as analytic indexing [ 15, 16].
In the field of CAM, semantic indexing might be more useful than analytic indexing because keyword indexing is generated by computer programs that pool words or phrases used by authors at least twice.
We calculated the frequency of MeSH, descriptors, and keywords used by authors in titles and abstracts in comparison to standard practices in semantic and analytic indexing in MEDLINE, MANTIS, CINAHL, and Web of Science.
We evaluated and compared analytic manual indexing to computer program generated semantic indexing.
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