### Table 6: Timings for computation of equivariants for various variants.

### Table 1: Several examples of continuous transformation groups and their equivariant function

"... In PAGE 5: ... Putting it yet another way, an equivariant function space is a function space that is closed under the transformation group. Table1 lists the equivariant function spaces under di erent one-parameter transformation groups. Multi-parameter groups can be constructed by combining several of these groups.... In PAGE 13: ... Thus, using the conventional SVD method, the singular v alue decomposition of a 128 128 matrix was computed. For the cascade basis reduction method, the sinusoids (and co-sinusoids) with integer frequencies over the domain [;1;; 1] were used as the equivariant functions (see Table1 ). A total of 21 were required to approximate the Gaussian over this interval (one DC component, and 10 pairs of sinusoids and co-sinusoids of increasing integral frequencies).... ..."

### Table 3: Timings for completeness of invariants and equivariants for O(2) S1.

### Table 1: Harmonic limits

"... In PAGE 2: ... The output voltage is 28 V without a floating battery and supplies a 100 W load. One particular harmonic standard sets a limit on the line current harmonics as listed in Table1 . Generally the first few odd triplen and odd non-triplen harmonics dominate the frequency spectrum.... ..."

### Table 2: Term Harmonization

2004

"... In PAGE 3: ...able 1: Definitions .........................................................................................................................4 Table2 : Term Harmonization.... In PAGE 9: ...11 May 2004 6 4.2 Term Harmonization Table2 illustrates relationships among the ANSI Role Based Access Control (RBAC) standard (previously called the NIST RBAC Standard), Neumann/Strembeck, the XACML 1.0 standard, the XACML RBAC Profile, and the RBAC TF terminology.... ..."

### Table 1 Harmonic series.

1981

"... In PAGE 6: ...uencies 0.167 and 0.333 in Figs. 4 and 5 and listed in column C of Table1 . They correspond to respective periods of six references and three references; on the simulated machine, this is equivalent to 1.... ..."

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### Table 6: Relevance of harmonics.

### Table 1. Comparison between cylinders Cylinder Pressure necessary to

"... In PAGE 3: ... Of course, it is possible to use only one magnet and restructure the main room to be very small, but then the effective sectional area would be too small for a great flow of air, causing the undesired pressure fall inside the cylinder. Table1 shows the comparison between the first cylinder and the new one. Table 1.... ..."

### Table 2: Results for sequence cylinder

2005

"... In PAGE 4: ... The final result is very close to a perfect cylinder as proven by Figure 5 right. Table2 shows a comparison of the results. They are rather similar for the original and the reduced resolution sequence.... ..."

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