### Table 5.1: Depth of the invariant ring of SL2(p) acting on binary forms of degree n.

2001

Cited by 2

### Table 5.1: Depth of the invariant ring of SL2(p) acting on binary forms of degree n.

### Table 1. Invariants of arrangements De ning polynomial

2001

"... In PAGE 24: ... Otherwise, we merely show the underlying matroid of A, which keeps track of the incidence relations. Table1 contains the list of objects and invariants that we associate with A. Some immediate numerical information is extracted from the intersection lattice, L(A).... ..."

Cited by 12

### Table 1: Dimensions of Spaces of Invariants n

"... In PAGE 2: ...4 and executed on a Sun Ultra 1 Sparcstation. Table1 at the end of this paper gives, for 1 n 40, the numbers dim Ln (computed using (3) with d = 2), dim Kn (computed using (2)), and dim Jn (computed using (4) and (5)). In particular, we see that the only primitive invariants of degree lt; 10 are those given... ..."

### Table 1: Set Definitions

"... In PAGE 5: ...2 Difficulty Comparisons of Alternative Function Sets This section examines the differences in difficulty created by markedly different function choices. Table1 shows the differing sequence manipulation and comparison functions used by the four sets of runs. Figure 2 shows the results of 20 runs of each of these four problem formulations.... ..."

### Table 1: Properties in the Invariant Topology Vector for the torpedo motor in figure 4

"... In PAGE 11: ... Thus, the ITV is a point in 29 dimensions and when combined with a set of these points, will enable the clustering of the points in this metric space. Table1 lists the graph invariants and type histogram used in generating the ITV for the torpedo motor illustrated in Figure 4. The ITV that results from these values is simply the result after concatenating the numbers into a single vector: C1CCCE BPBO BFBLBEBN BLBIBJBN BDBN BFBLBN BGBN BGBMBCBCBN BGBMBCBGBN BEBGBN BEBCBEBN BCBN BCBN BCBN BCBN BCBN BDBDBLBN BCBN BGBN BHBN BCBN BCBN BIBE BQ... ..."

### Table 2: Metric-space of metrics ordered by

"... In PAGE 2: ... In this paper we show that indentation metrics can be used as a proxy for complexity. Table2 shows where our metrics fit in within the space of other metrics. This table orders metrics by their level of language and semantic awareness.... ..."

### Table 6: Statistics for the Spacing metric

"... In PAGE 17: ... The last metric to be considered is Spacing. Table6 shows results for this metric. It can be seen that values are very close to the optimum (0).... ..."

### Table 6 Invariant foliations

1996

"... In PAGE 20: ...v = ( x; u x)@ x + [k( x; u x] u + f( x; u x))@ u x = ( ; u x)@ x + k ; Dx Dx + f ; Dx Dx @ u: Beginning with an invariant foliation by lines (x; u; ux) = , (x; u; ux) = of the space J1E, we conclude that the function = (x; u; ux) = ?( u ux? ux u) x ? ( u x? x u) ux x ux ? ux x + u must be a relative invariant: v( ) ? k + ( u ux? ux u) apos;x ? ( u x? x u) apos;ux x ux ? ux x ? apos;u = 0: In Table6 we give the invariant foliations of the actions of the considered groups, needed for determining changes of variables discussed above. We have found that there exists only one class of algebras having two inequivalent representatives with invariant equations.... ..."