### Table 1: The number of paths and timings for a planar four-bar mechanism.

2000

"... In PAGE 14: ...Table1 , whose format goes as follows. The cascade of homotopies starts with solving the start system g by polyhedral methods since mixed volumes are sharper than the bounds based on the degrees.... In PAGE 14: ...Table 1: The number of paths and timings for a planar four-bar mechanism. The information in Table1 is useful to make some rough comparisons with other homotopy methods. For instance, if we are only interested in the isolated roots, the cost would be of the same magnitude as on the E0-row.... ..."

Cited by 36

### Table 4. Deviation from Planarity (Degrees).

"... In PAGE 6: ... It is well known that the heme group in X-ray structures is not absolutely planar, and is distorted into a slightly bent structure.7 The deviation from planarity of several high-resolution X-ray structures as well as the ab initio geometry optimized structures is summarized in Table4 . The deviation from planarity measured as the angle of two oppositely lying CPM atoms and the central iron can be as large as 11 degrees in the case of Methylobacterium extorquens32 (PDB accession code 1QN2).... ..."

### Table 1 Number of topologically different planar graphs using a fixed amount of vertices of degree at least n

### Table 1: Planar method summary.

2006

"... In PAGE 9: ...Table1 provides a summary of a number of popular recent methods with respect to these four criteria. Figure 6 to Figure 9 and Table 2 provide distortion and runtime comparison between some of the more popular recent methods.... ..."

Cited by 5

### Table 2. Planar graphs with no Cm and no Cn in the complement

"... In PAGE 7: ... Proof. The lower bounds follow by considering the Ramsey graphs listed in Table2 and noticing that they are all planar. For the up- per bounds we argue as follows.... ..."

### Table 1. The planar Ramsey numbers for cycles

"... In PAGE 8: ... Remarks Remark 1. Some theorems presented in Table1 can be formulated... ..."

### Table 12: 3-connected planar graphs with minimum degree at least 4

### Table 1: Percent of corners on planar surfaces.

"... In PAGE 5: ...etermined which corners were \stable quot;, i.e., lying on planar patches. Table1 shows the percentage of stable corners for the sequences. Without stereo, the aver- age number of stable corners is 30.... ..."

### Table 5: Averaged shelling for planar tilings.

"... In PAGE 6: ... Details will be given elsewhere[12]. To give a rough impression of the di erences between these tilings, their averaged shelling numbers for radii r 2 are compared in Table5 . Clearly, an increasing number of radii with small occupation, which are absent in the lattice case, appear as the value of N increases.... ..."