### Table 1: Convergence rates for several = ( 1; 2)T for uniform re nement (upper) and adaptive re nement (lower). 4. References 1 Bank, R.E., Dupont, T.F., Yserentant, H.: The hierarchical basis multigrid method. Numer. Math. 52, 427-458 (1988) 2 Bank, R.E., Gutsch, S.: Hierarchical basis for the convection-di usion equation on unstructured meshes. Ninth Interna- tional Symposium on Domain Decomposition Methods for Partial Di erential Equations (P. Bj rstad, M. Espedal and D. Keyes, eds.), J. Wiley and Sons, New York, (1996) to appear 3 Bank, R.E., Gutsch, S.: The generalized hierarchical basis two-level method for the convection-di usion equation on a regular grid. submitted to the Proceedings of the 5th European Multigrid Conference in Stuttgart (1996) 4 Bank, R.E., Xu, J.: The hierarchical basis multigrid method and incomplete LU decomposition. Seventh International Symposium on Domain Decomposition Methods for Partial Di erential Equations (D. Keyes and J. Xu, eds.), 163-173. AMS, Providence, Rhode Island (1994) 5 Reusken, A.A.: Approximate cyclic reduction preconditioning. Preprint RANA 97-02, Eindhoven University of Technology Addresses: Randolph E. Bank, Department of Mathematics, University of California at San Diego, USA Sabine Gutsch, Mathematical Seminar II, Christian-Albrechts-University Kiel, Germany

### Table 4. Consensus sequences (100%: 85%: 70%: 50%: 35%: 20%) Figure 2. An example of ApproxMAP Reference [1] R. Agrawal and R. Srikant. Mining Sequential Patterns . In Proc. IEEE ICDE, March 1995. [2] U. Fayyad, G. Piatetsky-Shapiro, and P. Smyth. The KDD process for extracting useful knowledge from volumes of data. In Communications of ACM Vol 36 Issue 11, pages 27-34. NY, NY: ACM Press, Nov. 1996. [3] D. Hand, H. Mannila, and P. Smyth. Principles of Data Mining. Cambridge, MA: MIT Press, 2001. [4] Hye-Chung (Monica) Kum, Susan Paulsen, and Wei Wang. (2002). Comparative Study of Sequential Pattern Mining Frameworks: Support Framework vs. Multiple Alignment Framework. Proc. of the 2002 IEEE ICDM Workshop on The Foundation of Data Mining and Discovery. Maebashi, Japan, Dec 2002. [5] Hye-Chung (Monica) Kum, Jian Pei, Wei Wang, and Dean Duncan. (2003). ApproxMAP: Approximate Mining of Consensus Sequential Patterns. Proc. of the 3rd SIAM Intl. Conf. on Data Mining. San Francisco, CA, May 2003.

"... In PAGE 6: ... Cluster strength was set to 40%. Thus, the consensus pattern is generated by selecting all items in the weighted sequence that have a weight more than 40% of the cluster ( Table4 ). Color is used to visualize item strengths.... ..."

### Table 6 Estimated Persons in California Corrections System with Mental Retardation

2000

"... In PAGE 39: ...s from the Bureau of Justice Statistics (1995). Neither study reports multiple conditions. If we take the current California jail, prison, probation, and parole population, and apply the available estimates of the percent of persons within them who might be MR/DD, we can get a rough sense of the numbers of persons MR/DD in California who may be in these various sanctions. Table6 does this. 7It is also important to note that estimates of incarcerated youth with MR/DD are much higher than those for adults, and have been estimated to be as high as 40% (Wolford, Nelson, and Rutherford, 1997).... ..."

### TABLE 1. Chemistry taught to tenth- and eleventh- grade students of this work.

2004

### Table 1 California Transit Agencies and AVL

2002

### Table 2. Now we replace 0 p by p 2 [ 0 p] and set q = 0 q such that the di erence of the equations f2(x; x) = 0 of p and g2(x; x) = 0 of q gives exactly the equation h2(x; x) = 0 of according to (27). This yields f2(x; x) = ?4x2 ? 26y2 + 28z2 + 48z + 28 and g2(x; x) = ?8x2 ? 27y2 + 24z2 + 48z + 28 : The comparison with (22), (25) and (26) gives A1 = AT

"... In PAGE 8: ... Since for regular the (imaginary) surface is polar to the absolute conic, the pencil [ ] must be polar to the linear system of surfaces confocal to . The cylinder 0 in the rst two cases of Table2 is polar to one focal conic of with respect to .... In PAGE 9: ... cylinder inters. planes 4k4x2 + 4z2 z2 = 0 : : : two-fold plane of symmetry Table2 : Di erent cases of and 0 For a 2nd-order ex of O obeying (22) it is necessary that there is a surface p pass- ing through the sides of the skew quadrangle p0 : : : p3 and a surface q through q1 and q2 such that the pencil [ p q] spanned by p and q contains . With and p each surface 0 p in the pencil [ p] passes through the equator p0 : : : p3.... ..."

### Table 2. Now we replace 0 p by p 2 [ 0 p] and set q = 0 q such that the di erence of the equations f2(x; x) = 0 of p and g2(x; x) = 0 of q gives exactly the equation h2(x; x) = 0 of according to (27). This yields f2(x; x) = ?4x2 ? 26y2 + 28z2 + 48z + 28 and g2(x; x) = ?8x2 ? 27y2 + 24z2 + 48z + 28 : The comparison with (22), (25) and (26) gives A1 = AT

"... In PAGE 8: ... Since for regular the (imaginary) surface is polar to the absolute conic, the pencil [ ] must be polar to the linear system of surfaces confocal to . The cylinder 0 in the rst two cases of Table2 is polar to one focal conic of with respect to .... In PAGE 9: ... cylinder inters. planes 4k4x2 + 4z2 z2 = 0 : : : two-fold plane of symmetry Table2 : Di erent cases of and 0 For a 2nd-order ex of O obeying (22) it is necessary that there is a surface p pass- ing through the sides of the skew quadrangle p0 : : : p3 and a surface q through q1 and q2 such that the pencil [ p q] spanned by p and q contains . With and p each surface 0 p in the pencil [ p] passes through the equator p0 : : : p3.... ..."

### Table 4: The Tcl Warp Application Programming Interface [2] J S Plank, M Beck, G Kingsley, and K Li. Libckpt: Transparent Checkpointing under Unix. In Proceedings of USENIX Winter 1995 Technical Conference, New Orleans, Louisiana, USA, January 1995. [3] Warp Project. Warp 2.1.2 Application Programming Interfaces. Warp Report W2-95, Division of Computer Science, University of St Andrews, North Haugh, St Andrews KY16 9SS, May 1995.

"... In PAGE 9: ...arp 2.1.2 provides applications to access the Warp mechanism from both Tcl and C [3]. Table4 summarise the Tcl WAPI. The C WAPI is implemented on top of the Tcl runtime library.... ..."

### Table 2: Compression evaluation using les in the Canterbury corpus (Large Set) The original le size (with some pre xes), compressed le size by gzip and compress, and the improvement (%) made by LZW-FP, FPA, and FPA-24 over gzip and compress [FM95] M. Farach and S. Muthukrishnan. Optimal parallel dictionary matching and compression. In ACM Symposium on Parallel Algorithms and Architectures, 1995. [FNS+95] M. Farach, M. Noordeweir, S. Savari, L. Shepp, A. J. Wyner, and J. Ziv. The entropy of DNA: Al- gorithms and measurements based on memory and rapid convergence. In ACM-SIAM Symposium on Discrete Algorithms, 1995.

1998

Cited by 2

### Table 2. Summary of deadlock-handling techniques in distributed databases. PRINCIPLE ADVANTAGES MAJOR COSTS RELEVANT

1980

"... In PAGE 14: ... This in turn has repercussions, since the information may be out of date by the time it arrives. A summary of these techniques for handling deadlock in database systems is given in Table2 , along with an indication of their advantages and costs.... ..."

Cited by 11