By Vondracek Z.
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Additional info for A Characterization of Brownian Motion in a Lipschitz Domain by Its Killing Distributions
Hence it is most important to produce the ﬁrst few results quickly. Our main contributions are: • We provide a framework that organizes and formalizes a wide spectrum of decompositions of the XML data into relational databases. • We classify the schema decompositions based on the dependencies in the produced relational schemas. We identify a class of mappings called inlined decompositions that allow us to considerably improve query performance by reducing the number of joins in a query, without a signiﬁcant increase in the size of the database.
The path from the root of C to NC and the path from the schema root to S have the same sequence of node labels. If S exists and is not atomic, there are two options: 1. Do not perform any transformations. In this case V will bind to BLOBs assuming that S is BLOB-ed in D. 2. Extend NC with all the children of S. " label, or if the incoming edge of NC is soft. Label every new node with a new unique variable Vi . If S is not repeatable, remove label V from NC ; otherwise, V will 8 It is easy to verify this property using the schema graph.
T has an attribute ANID of the special “ID" datatype5 for every tag node N of the fragment. If N is an atomic node the schema tree T also has an attribute AN of the same datatype as N . If F is not a root fragment, T also includes a parent reference column, of type ID, for each distinct path that leads to a root of F from a repeatable ancestor A and does not include any intermediate repeatable ancestors. The parent reference columns store the value of the ID attribute of A. ♦ • If N is an “all", then T is the result of a join of all children tables on parent reference attributes.