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Lemma 2.1 Let ( x α ) α ∈ Λ be a family in E having a well ordered index set Λ in R ∪.
Consider an even Majorana monomial s 1 : = L ( ∏ i ∈ I m i ) of degree 2 d ′, where s 2 is defined using the ordered index set ℐ, and a quadratic operator s 2 : = L ( m p m q ) with p ∈ I and q ∉ I.
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Further, because the output of the proposed method is a set of ordered indices, there is no need to define a fixed number of clusters in advance.
The roughness of the surface may very well correspond to a well ordered high index surface.
The new orders index is the highest since April 2000.
The new export orders index fell to 48.0 from 49.3.
The new-orders index showed a slower pace of expansion.
The new order index was 48.7, down 0.3 from July.
In addition, other categories like new orders index and new export orders index rose, the Goldman report said.
The drop was the largest since the orders index fell 14.1 points in December 1980.
The institute's new-orders index moved to 56.9 for June, from 56.8 in May.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com