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The differences between traditional matrix structures and multidimensional forms that do not require dual reporting are discussed in more detail in Ackoff (1999) and Worren (2012).
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Digital devices present information in a more multidimensional form giving readers more choices in how to navigate, to dive deeper or jump forward.
This approach is presented in the multidimensional form and then applied to digital audio, digital image, and digital video watermarking.
In Section 3, we prove the generalized Hardy-Knopp type inequalities as regards the operator (T^{r}_{k}) and derive the corresponding conclusions in a multidimensional form.
Data arriving into data warehouses are normally in denormalise multidimensional form which will be stored into data cubes to reduce the cost of costly table joins.
This particular approach is presented in the multidimensional form, and it is applied to digital audio, digital image, and digital video.
(1.9) Then we will attain a strengthened Hardy-Knopp type inequality which includes all the above results, so as to give a refined version with multidimensional form as corollary.
Health locus of control is, in the multidimensional form, attributed to internal factors, chance, or external factors [ 18].
In this paper, a sequence of multidimensional normal forms is established that allow reasoning about the quality of conceptual data warehouse schemata in a rigorous manner.
Finally, as the technique is easily extended to multidimensional convolution forms, we illustrate such an extension for two-dimensional adaptive paraunitary filters using a simple image sequence encoding example.
Then, we make use of the multidimensional normal forms to define a set of Query/View/Transformation (QVT) relations to assure that the conceptual multidimensional model obtained from user requirements agrees with the available data sources that will populate the DW.
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