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These indices then went through a selection procedure to build proper decision trees.
Friesen [3] proved that if a group (G) is the product of two normal supersolvable subgroups of coprime indices, then (G) is also supersolvable.
Since for the case (d_{1}ne0) the solution can be prolonged for nonpositive indices, then we may assume that formula (57) holds also for (nge-3) (or (nge-4) if necessary).
For any C1-neighborhood U ( f ) of f there is g ∈ U ( f ) such that g has two distinct hyperbolic periodic points p g, q g ∈ P g) with different indices then f has two distinct hyperbolic periodic points p, q ∈ P (f) with different indices.
There is a residual set G 3 ⊂ Diff ( M ) such that for any f ∈ G 3, for any η > 0, if for any C 1 -neighborhood U ( f ) of f, there exist g ∈ U ( f ) and p g, q g ∈ P ( g ) with the same period such that d ( p g, q g ) < η with different indices, then there exist p, q ∈ P ( f ) with the same period such that d ( p, q ) < η with different indices.
The way to evaluate the effectiveness of these indices then relies on a statistical comparison of index values with the occurrence of recorded fires.
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Dow Chemical, which could have been added to the Dow index then, is up 2.8percentt.
The major indexes then reversed course, with the Dow soaring more than 200 points before the final losses.
But at the low point, the S.& P./Case-Shiller indexes still showed annual price gains in five of the 17 markets the indexes then covered.
The index then rose steadily during the recession itself, but fell as soon as the recovery got under way.
But the blue-chip index then stabilised, and is currently down 327 points, or 5.2%, at 6009 after Cameron's statement.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com