### Table 3. Some New Contributions to the Lamb Shift

"... In PAGE 9: ... Consider now current status of the Lamb shift theory. Theoretical pre- dictions presented below are obtained with the help of the expressions for the Lamb shift contributions as collected in the reviews [31, 32], amended, besides corrections obtained above and in [24], with some other recent results presented in the Table3 . Note that the correction of order 2(Z )6 in this Table is again of reasonable magnitude since its scale is set by the factor 4 2(Z )6=( 2n3)m as one may easily check with the help of the arguments used above in the discussion of the contribution of order 2(Z )5.... In PAGE 9: ... On the background of this factor numerical factor 2=27 before the logarithm cube is quite moderate. Last line in Table3 contains a new recoil correction corresponding to the insertions in the Coulomb photon of the muon or hadron vacuum polariza- tion operators2. Respective contribution for the muon insertion contains an evident extra electron-muon mass ratio squared suppression factor relative to the leading vacuum polarization contribution.... ..."

### TABLE 2 Numerical Simulation Parameters

2003

### Table 1: Linear OFRQP, linear MPSVM and nonlinear MPSVM, training and tenfold testing correctness and running times. Exe- cution times include tenfold training. Best results for the linear case (first two columns) are in bold.

2001

"... In PAGE 2: ... Section 5 contains numerical test results on six public data sets for both the linear and nonlinear MPSVM. These tests show a speedup of as high as 2169-times for our linear MPSVM over conventional SVM with nearly equal test set correctness ( Table1 , Vehicle Dataset). These tests also show that a nonlinear MPSVM can improve tenfold test set correctness over a conventional linear SVM from 59.... In PAGE 2: ...3% to 98.9% ( Table1 , Vowel Dataset). Simple and short MATLAB [18] codes, very similar to those of PSVM [12] underly the proposed MPSVM algorithms.... ..."

Cited by 9

### Table 2. Theoretical and Experimental Plate Wave Velocities

"... In PAGE 10: ... Also in Table 1 are the laminated plate theory calculations for the in-plane and bending stiffness coefficients for a laminated plate with the same stacking sequence as that of the tube. The theoretical extensional and flexural velocity predictions are given in Table2... In PAGE 11: ... The dotted line is a least squares fit to the data. The experimentally measured velocity values are also presented in Table2 . The arrival time versus distance plot for the 0 degree direction of the 50 kHz component of the flexural wave is presented in Figure 4.... In PAGE 11: ... A least squares fit is indicated by the dotted line. The theoretical velocity at this frequency and the experimental values are also given in Table2 . Good agreement was obtained between theory and experiment except for the 45 degree extensional mode and the 90 degree flexural mode, which need further investigation.... ..."

### Table 2. Theoretical and Experimental Plate Wave Velocities

"... In PAGE 10: ... Also in Table 1 are the laminated plate theory calculations for the in-plane and bending stiffness coefficients for a laminated plate with the same stacking sequence as that of the tube. The theoretical extensional and flexural velocity predictions are given in Table2... In PAGE 11: ... The dotted line is a least squares fit to the data. The experimentally measured velocity values are also presented in Table2 . The arrival time versus distance plot for the 0 degree direction of the 50 kHz component of the flexural wave is presented in Figure 4.... In PAGE 11: ... A least squares fit is indicated by the dotted line. The theoretical velocity at this frequency and the experimental values are also given in Table2 . Good agreement was obtained between theory and experiment except for the 45 degree extensional mode and the 90 degree flexural mode, which need further investigation.... ..."

### Table 1: Comparison between constant thinning and geometric thinning algorithms.

"... In PAGE 7: ... The best result is in bold text, and the worst result is in italic text. In the Table1 , the simulations of CT and GT are compared. In these experiments, we had 1024 processors and = 1:2.... In PAGE 7: ....05 and 1.1. The value of tmax is 1.5. The Figure 1 describes partly the results shown in Table1 . A logarithmic scale (for h) is used in the gure.... ..."

### Table 1. Values of Model Parameters Used in the Numerical Simulation

"... In PAGE 4: ...Itis necessary to justify all these assumptions and simplifica- tions via the comparison of the analytical solution (5a) with the numerical solutions of the original nonlinear model. Table1 lists the model parameters used for the numerical simulation. The numerical solution of the one- dimensional air-water two-phase nonlinear model is obtained using the EOS3 module of TOUGH2 simulator.... ..."

### Table 2.1 Algorithms for Wave Intersections

2003

### Table 3: Theoretical discrepancies for the 1s Lamb shift

2000

"... In PAGE 5: ... For instance it was a long and dramatic history of the calculation of the logarithmic corrections (Z )6m2=M logZ which after all were found to be equal to zero [17]. Two actual contradictions of the ground state Lamb shift are presented in Table3 . For the interpretation of the numerical results of Ref.... ..."

### Table 1 A comparison of the wave speeds obtained for the propagating pattern from the asymptotic method, the envelope method, and the numerical simulations.

"... In PAGE 13: ...35. However, if we move still further away from the bifurcation point, this method breaks down, as one would expect (see Table1 for a summary of the results). Extensive numerical simulations show that this method works well.... ..."

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