### Table 1: Data sets and their characteristics data set length dom. size self-join size type Fig.

1999

"... In PAGE 5: ... We also created an arti cial data set designed to favor tug-of-war over sample-count. Table1 summarizes the data sets considered in this pa- per. For each data set, we list its length (n), its domain size (t), the actual self-join size, and its type, either arti cial = arti cially created, statistical = obtained using a statistical package, text = excerpts from well-known literary works, or geometric = coordinates taken from a spatial data set.... ..."

Cited by 71

### Table 1: Data sets and their characteristics data set length dom. size self-join size type Fig.

"... In PAGE 5: ... We also created an arti cial data set designed to favor tug-of-war over sample-count. Table1 summarizes the data sets considered in this pa- per. For each data set, we list its length (n), its domain size (t), the actual self-join size, and its type, either arti cial = arti cially created, statistical = obtained using a statistical package, text = excerpts from well-known literary works, or geometric = coordinates taken from a spatial data set.... ..."

### Table 6 Parameters of the experiment on effect of the join relation size Auxiliary table Join relation

### Table 32: Performance on the postgres-join trace, cache size 640.

1996

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### TABLE III JOINING/LEAVING TIME VS GROUP SIZE.

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### Table 5: Output size estimation of pairwise spatial joins using grids.

"... In PAGE 30: ...ig. 19: Skew in dataset T1: (a) T1 dataset. (b) Number of rectangles per cell in a 50x50 grid. Table5 presents the actual (column 1) and estimated output size of several join pairs using various grids. The average accuracy improves with the size of the grid used.... ..."

### Table 9. Solving of various problems using the DynVar3 strategy with various depths. (join size: 20% except for uuf75-073: 30%, mos: 10%).

### TABLE V Join performance for Experiment Series 1, varying DS sizes.

### Table 1 contains the mining results: the number of distinct values, n and m, of each of the attributes, the number of tuples in the dataset T (this is the number of 1-entries in the matrix representation of the dataset), the total number of empty joins R, and the sizes of the five largest empty joins. The size metric S defines the size of an empty join as the area it covers with respect to the domains of values of the two attributes. It is defined formally in the following way. Let E be an empty join with the coordinates (x0, y0), (x1, y1) over attributes A and B with sets of distinct values X and Y respectively in tables T1 and T2 respectively. The relative size of the join with respect to the covered area, S, is defined as:

2006

"... In PAGE 7: ...3 83.1 Table1 : Data characteristics Table 1 contains the mining results: the number of distinct values, n and m, of each of the attributes, the number of tuples in the dataset T (this is the number of 1-entries in the matrix representation of the dataset), the total number of empty joins R, and the sizes of the five largest empty joins. The size metric S defines the size of an empty join as the area it covers with respect to the domains of values of the two attributes.... ..."

### Table 10: Join Queries for Experiments

"... In PAGE 34: ... Join: In order to assess the accuracy of our join size estimators, we created 7 queries involving a two- way join between various TP-relations. These queries and their actual and the estimated cardinalities are shown in Table10 . All queries assume that no prior knowledge about the relationship between the... ..."