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Second Order Operators (SOOs) are database functions which form secondary queries based on attributes of the objects returned in an initial query; they can provide powerful methods to investigate complex, multipartite information graphs. The NASA Astrophysics Data System (ADS) has implemented four SOOs, reviews, useful, trending, and similar which use the citations, references, downloads, and abstract text. This tutorial describes these operators in detail, both alone and in conjunction with other functions. It is intended for scientists and others who wish to make fuller use of the ADS database. Basic knowledge of the ADS is assumed.
By combining data from the text, citation, and reference databases with data from the ADS readership logs we have been able to create Second Order Bibliometric Operators, a customizable class of collaborative filters which permits substantially impro
Astrophysics spans an enormous range of questions on scales from individual planets to the entire cosmos. To address the richness of 21st century astrophysics requires a corresponding richness of telescopes spanning all bands and all messengers. Much
The past three decades have seen prodigious advances in astronomy and astrophysics. Beginning with the exploration of our solar system and continuing through the pioneering Explorers and Great Observatories of today, NASA missions have made essential
We consider properties of second-order operators $H = -sum^d_{i,j=1} partial_i , c_{ij} , partial_j$ on $Ri^d$ with bounded real symmetric measurable coefficients. We assume that $C = (c_{ij}) geq 0$ almost everywhere, but allow for the possibility t
This study analyzes the differences between the category structure of the Universal Decimal Classification (UDC) system (which is one of the widely used library classification systems in Europe) and Wikipedia. In particular, we compare the emerging s