text/html;charset=utf‐8 en On integrating and defaulting a number of common axes in relational models data,common,facet,relation,axis,type,logic,disjunctive,conjunctive,normalization,partitioning,partition,chunk,chunking,tile,tiling,reference,link,multiresolution,coarsening,summary,derivation,valid,transaction,time,temporal,version,history,bitemporal index,follow global
‐abstract decomposition axes ‐type ‐determined by the set of properties ‐the properties must have a fixed interpretation ‐a set of typed columns is not enough, because the atomic types are ambiguous representations of underlying property values ‐underlying structure is a tree ‐hierarchy via ‐join/set union ‐meet, but is always empty ‐logic ‐disjunctive vs. conjunctive ‐relational is in conjunctive extensive form ‐essentially a model satisfying the theory ‐is there such a thing as disjunctive extensive form? ‐negation ‐relational uses the closed world assumption ‐underlying structure is a lattice ‐hierarchy via ‐join ‐meet, but might be empty ‐normalization ‐underlying structure is a cartesian/set product ‐hierarchy via ‐set union ‐set intersection ‐partitioning/tiling/chunking ‐underlying structure is a (euclidean) space/manifold ‐hierarchy via ‐set union ‐set intersection ‐references/interdependencies/links ‐underlying structure is a graph ‐hierarchy via ‐transitive closure ‐coarse graining/cubing/summaries/derived data ‐underlying structure is a lattice ‐hierarchy via ‐join ‐meet ‐dwarves are essentially functions from lattice relations represented as minimum covering graphs to subtotals ‐is this an instance of a part‐whole/aggregation relationship? ‐how does this fit in with mipmap/ripmap/multiresolution/wavelet decomposition? ‐versions ‐underlying structure is a tree ‐hierarchy via ‐join ‐meet ‐how does this fit in with time? ‐time/history ‐underlying structure a linear order ‐hierarchy via ‐join ‐how does this fit in with versioning? particularly linear chains within a version tree?