### Table 3.2a: Central charges and conformal dimensions related to simple strongly-modular fusion algebras of dimension 4 F c (mod4) hi (modZ)

"... In PAGE 58: ...s given in Table 4.4 below. We shall show that by property (1) to (5) the representation is uniquely de- termined (up to equivalence). Its precise description can be read o from the last column of Table3 , respectively (notations will be explained below). In particular, has dimension equal to the cardinality of Hc, and hence we conclude H = Hc.... In PAGE 61: ...4. We now consider the rational models corresponding to row 5 to 9 of Table3 . Here the level of e is a prime l, the dimension of is l ? 1, and the eigenvalues of (T ) are pairwise di erent primitive l-th roots of unity.... ..."

### Table 3.2a: Central charges and conformal dimensions related to simple strongly-modular fusion algebras of dimension 4 F c (mod4) hi (modZ)

"... In PAGE 58: ...s given in Table 4.4 below. We shall show that by property (1) to (5) the representation is uniquely de- termined (up to equivalence). Its precise description can be read o from the last column of Table3 , respectively (notations will be explained below). In particular, has dimension equal to the cardinality of Hc, and hence we conclude H = Hc.... In PAGE 61: ...4. We now consider the rational models corresponding to row 5 to 9 of Table3 . Here the level of e is a prime l, the dimension of is l ? 1, and the eigenvalues of (T ) are pairwise di erent primitive l-th roots of unity.... ..."

### Table 2: Central charges for the three theories. We have removed a prefactor of 4G as well as the asymptotic value of the dilaton eld. As previously, we denote left- and right-handed charges (with the vierbein removed) in the combinations

"... In PAGE 25: ...he central charges of the truncated theories, as given by (8.16), (8.24) and (8.33), are summarized in Table2 . Naturally, in the heterotic (S) language we verify the result of [44] that only the right-handed charges contribute to the central charges.... In PAGE 25: ... In order to examine the elementary string excitations, we set all magnetic charges to zero in the mass bound. For the truncated heterotic theory, Table2 gives jZ1j2 = jZ2j2 = 1 (4G)2 e? 0[(QR1)2 + (QR2)2] ; (8.34) which indicates that all Bogomol apos;nyi saturated elementary states in the heterotic theory fall into short multiplets.... ..."

### Table 5. NBO Charges on the Central Planar Atom, Bond Orders, and Total Bond Orders (TBO) of the Considered Planar Tetra Coordinate Systems at B3LYP/6-31G* Level of Theory.

"... In PAGE 8: ... The near normal charge dis- tribution indicate that most of the bonding is due to strong cova- lent linkages and not only dominated by the electrostatic forces. Secondly, the bond order of all the four bonds emanating from the central carbon were computed, Table5 . Total bond order is obtained by summing up all the four bond orders of the bonds forming the tetracoordination.... ..."

### Table 1: Comparison of NELP and Effluent Charges Systems

"... In PAGE 12: ... C.7 Summary Table1 summarizes these comparisons of the technology-based NELP syste m with the effluent charges system for each of the cost components of the institutional-transaction-cost framework. From this table, we se e that under these assumptions, an effluent charges system is a more cost effective system to reduc e discharges of BOD by textile mills.... ..."

### Table 4: Additional sources of systematic errors and effect on the cross section for the ana- lysis, in the range BDBE BO C9BE BO BEBH GeVBE , in which central jet chamber tracks are used to measure the charge of the positron candidate.

2000

### Table 5: Overview of the combinations of inclusive charged particle and event shape distributions used for the ts of JETSET, ARIADNE and HERWIG. Distributions used are marked by . The central results presented correspond to the choice S6. The other combinations were used to provide estimates of the systematic errors.

1996

"... In PAGE 15: ... The analytical approximation obtained from these simulated data sets was then tted to various choices of inclusive charged particle, event shape, and identi ed particle distributions. The inclusive charged particle and event shape distributions measured by DELPHI in this analysis were used for these ts in various combinations, as shown in Table5 . The mean charged particle multiplicity at the Z used in the ts, lt; Nch gt;= 20:92 0:24, was an average of all available results [38].... In PAGE 17: ... The 0 data were also excluded from the nal ts for similar reasons, and because they are not described well enough by the models. Separate ts were performed for all possible combinations of the 12 choices of inclusive and event shape distributions in Table5 with the 5 possible choices of identi ed particle data in Table 6. A full MINOS [26] error estimate was performed for all parameters.... In PAGE 18: ... Besides the particle spectra, the cluster parameters also strongly in uence the stable charged particle and event shape distributions. Fits were therefore performed to com- binations of inclusive charged particle and event shape distributions (see Table5 ) and identi ed particle data (see Table 7). The average scaled momenta of heavy mesons are important for the determination of CLMAX and CLPOW.... In PAGE 18: ... The identi ed particle data sets were again chosen (see Table 7) such that systematic di erences in the data would be re ected in the systematic errors of the tted parameters. The central t result for HERWIG (see Table5 3) corresponds to the combination S6P5. The other combinations were used to provide estimates of the systematic errors.... In PAGE 51: ...23 0.05 Table5... In PAGE 52: ...23 0.05 Table5... In PAGE 53: ...23 0.05 Table5 2: Parameter settings and t results for JETSET 7.4 ME with default decays Parameter Default Range gen.... In PAGE 53: ...74 0.09 + ? 0:37 0:25 Table5... In PAGE 54: ...41 P(3S1)s 1.00 Table5 4: Table of Correlation Coe cients for JETSET 7.4 PS Fit a q QCD pQCD t s P(1S0)ud P(3S1)ud P(1S0)s P(3S1)s a 1.... In PAGE 54: ...02 P(3S1)s 1.00 Table5... ..."

### Table 4: Additional sources of systematic errors and effect on the cross section for the ana- lysis, in the range a12a73a37 a2 a19 a21 a2 a37a26a15 GeVa21 , in which central jet chamber tracks are used to measure the charge of the positron candidate.

2000

### Table 10: Systematic error contributions to Cb measurement. Uncertainty sources com- mon with table 6 have the same central values and the same excursions of the parameters. corresponded to the negatively (positively) charged fermion, namely: cos = ?sign(QF ? QB) cos T ; and the nal distribution of cos is shown in gure 13. A 2- t was performed on this distribution over the angular region jcos j 0:70, to evaluate, according to equation (1), the asymmetry parameter. The result was: AB?tag FB

1994