### Table 1: The classification of regular and simple critical points us- ing reduced Betti numbers.

"... In PAGE 4: ... Since lower links are two-dimensional, only DI AC A0BD through DI AC BE can be non-zero. As shown in Table1 , the simple critical points are the ones that have exactly one non-zero re- duced Betti number, which is equal to one. A multiple saddle... In PAGE 4: ...Table 1: The classification of regular and simple critical points us- ing reduced Betti numbers. is a vertex that falls outside the classification of Table1 and therefore satisfies DI AC A0BD BP DI AC BE BPBCand DI AC BC B7 DI AC BD AL BE. It can be unfolded into simple 1-saddles and 2-saddles.... In PAGE 5: ... We get DI AC BD from DI AC BC and the Euler characteristic AV BP D7 BC A0 D7 BD B7 D7 BE , where D7 CZ is the num- ber of CZ-simplices in the lower link of D4: DI AC BD BP DI AC BC B7BDA0 AV. According to Table1 , D4 is regular if DI AC BC BP DI AC BD BPBCand it is a multiple saddle combining DI AC BC 1-saddles and DI AC BD 2-saddles, otherwise. Running time.... ..."

### Table 1: The classification of regular and simple critical points us- ing reduced Betti numbers.

"... In PAGE 4: ... Since lower links are two-dimensional, only a0 a1 a30 a58 through a0 a1 a61 can be non-zero. As shown in Table1 , the simple critical points are the ones that have exactly one non-zero re- duced Betti number, which is equal to one. A multiple saddle... In PAGE 4: ...Table 1: The classification of regular and simple critical points us- ing reduced Betti numbers. is a vertex that falls outside the classification of Table1 and therefore satisfies a0 a1 a30 a58 a31 a7a0 a1 a61 a31 a39a98 and a0 a1a5a4a9a8 a0 a1 a58 a96 a68 . It can be unfolded into simple 1-saddles and 2-saddles.... In PAGE 5: ... We get a0 a1 a58 from a0 a1 a4 and the Euler characteristic a5 a31 a14 a4 a59 a14 a58 a8 a14 a38a61 , where a14 a2 is the num- ber of a15 -simplices in the lower link of a11 : a0 a1 a58 a31 a0 a1a6a4 a8 a67 a59 a6a5 . According to Table1 , a11 is regular if a0 a1a5a4 a31 a0 a1 a58 a31 a98 and it is a multiple saddle combining a0 a1a6a4 1-saddles and a0 a1 a58 2-saddles, otherwise. Running time.... ..."

### Table 2: Meeting Program Criteria

2003

"... In PAGE 7: ...nowledge. It strongly supports the active learning approach advocated by Lee (2001). Although no single class should be expected to meet all the desirable criteria we proposed earlier, we believe that this class meets many of them. Table2 reflects our assessment of the class according to previously proposed program criteria: Learning outcomes are measured through a combination of traditional and nontraditional methods. Stu- dent participation is monitored via personal journals of their learning activities published to a class ... ..."

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### Table 1: Regular data sets versus irregular data models.

2005

"... In PAGE 7: ... Irregular data are represented with tetrahedral cells [CFM+94]. Table1 presents the papers surveyed in Section 4 classified according to the model. 3 Classification We herein describe different criteria of classification that we have used in our study.... In PAGE 45: ...[SB05] [WWS03] Data type Simulation Simulation Data sets Sampling Irregular Regular Grid Non-uniform Uniform Variability High High Type Tetrahedra Voxels Data Model Domain Spatial Spatial Temporal 3D + time 4D Compression - - Type I D Visual. Camera Static Static Transfer Function Static Dynamic Illumination Static Static Rendering IVR ray-casting Main Contribution Time-var contours 4D proj interpret Optimization - - Applications Hemoglobin dynam CFD Table1 0: Classification of all the references surveyed (the end)... ..."

### Table 3: Execution Category Criteria Criteria Weight Multiple runs 5

"... In PAGE 7: ...Ability to calculate appropriate warm-up pe- riod and replications 3 Speed control 5 Self executable versions 3 The Multiple runs criterion in Table3 , which indi- cates repeating simulation runs many times, scores very high compared to others because of variance reduction test performance. For the team the speed control criterion is important because the speed of the simulation can vary from as fast as possible for getting numerical results to a slow speed for demonstrating results to clients.... ..."

### Table 1 Class : Regular cell

### Table 2: Bench programs

1996

"... In PAGE 21: ...arc(X,Z), subsumes(min)(sgi(Z,Z1),D1), arc(Y,Z1), D is D1+1. The bench programs consisted of variations of transitive closure, same-generation and shortest- path on various graphs (the programs are described in Table2 ). We experimented with graphs that have well de ned structures, such as linear chains and complete binary trees, as well as less regular graphs (e.... ..."

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### Table 2: Multiple classification in COIN

2001

"... In PAGE 4: ... 6: Distribution of experiences in COIN During classification of the experiences, we had to group worst practices into the same category as best practices . Table2 illustrates how many experiences (guidelines/observations/problems) were classified into multiple categories. For example, ten guidelines from the best practice category were also put into the customer category and five problems into the mis- cellaneous category.... ..."

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### Table VI. Classification of technology according to examined criteria Criteria

1999

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