### Table 7: Non-uniform Input

1998

"... In PAGE 9: ...93 0.9506 66990 Table 6: Di#0Berent Symbol Ratios InputClass = Uniform, m =2;n= 1000;k =2;p=#28Ratio; 1 , Ratio#29 Table7 shows selected experiments with input generated from non-uniform probability distributions The probability distribution of each0; 1-input string is described by a linear functions de#0Cned over its length. For simpli#0Ccation, this function is de#0Cned by the line connecting the probabilityvalues of the leftmost string symbol p l and the rightmost string symbol p r .... ..."

Cited by 1

### Table 4: The ratio of distances between consecutive zeros calculated using piecewise cubic C0 elements on a sequence of non-uniformly re ned grids on an eighth of the unit square domain.

1999

"... In PAGE 14: ... N denotes the dimension of the linear system resulting from each of the non-uniformly re ned meshes, which are designed to allow greater resolution of the eigenfunction in the corner. Table4 shows calculations of the same ratios for a di erent sequence of non-uniformly re ned meshes, on an eighth of the domain (utilizing further symmetry along the bisector of the corner). In each case the calculations are based upon the approximation of the principal eigenfunction (i.... ..."

Cited by 2

### Table2. Computational results of non-uniform traffic demand

1996

"... In PAGE 6: ...he second system tested has a non-uniform demand. It has 12 nodes and its reception capacity is 3. We generate 20 different traffic demands in the range of 2 - 6. Table2 is the computational results of our ... ..."

### Table 6. Average Kullback-Leibler divergences of \uniform quot; D-optimal U- designs and \non-uniform quot; D-optimal U-designs over 500 samples for the complete interaction Fourier model F (d; 1; ; 1; (R; H); 2) \uniform quot; design \non-uniform quot; design d n

"... In PAGE 11: ... For each sample and design the model was tted with the least square method and its predictive error was evaluated. Table6 lists the average Kullback-Leibler divergences of \uniform quot; based D-optimal U-designs and quot;non-uniform quot; ones over 500 samples for d = 4 and d = 5. It is apparent, from these two tables, that \uniform quot; D-optimal U-designs slightly outperform their competitors in most of the cases.... ..."

### Table 1: Comparison of Average Costs for Non-Uniform distribution

1996

"... In PAGE 23: ... During this period, if the system designer uses LU-PC instead of adaptive, the network load (in terms of number of messages) will increase by 12%. For the given call and mobility distribution (shown in Figure 14 and Figure 13), the total savings of adaptive over LU-PC is 4% and over LU-JU is 17% (as shown in Table1 ). Thus, the results show that a simple adaptive location management algorithm as shown in Figure 12 performs better than the static location management strategies for a wide range of call-mobility patterns.... ..."

Cited by 14

### Table 1: Comparison of Average Costs for Non-Uniform distribution

1996

"... In PAGE 23: ... During this period, if the system designer uses LU-PC instead of adaptive, the network load (in terms of number of messages) will increase by 12%. For the given call and mobility distribution (shown in Figure 14 and Figure 13), the total savings of adaptive over LU-PC is 4% and over LU-JU is 17% (as shown in Table1 ). Thus, the results show that a simple adaptive location management algorithm as shown in Figure 12 performs better than the static location management strategies for a wide range of call-mobility patterns.... ..."

Cited by 14

### Table 3: The ratio of distances between consecutive zeros calculated using piecewise cubic C0 elements on a sequence of non-uniformly re ned grids on a quarter of the unit square domain.

1999

"... In PAGE 14: ... (Recall from section 2 that rn is the distance along the bisector of the angle to the nth local extremal value of the eigenfunction u, tn is the magnitude of this extremum, and sn the distance to the nth zero.) In Table3 we present some numerical results for the rst of these ratios, obtained by solving (1) on the unit square using piecewise cubic C0 elements on a sequence of unstructured meshes over a quarter of the domain (making use of symmetry at x = 1=2 and y = 1=2 and applying appropriate Neumann conditions at these boundaries). N denotes the dimension of the linear system resulting from each of the non-uniformly re ned meshes, which are designed to allow greater resolution of the eigenfunction in the corner.... ..."

Cited by 2

### Table 1 Average interconnection lengths of some benchmark designs based on a non-uniform (LN) versus a uniform (LU) oc- cupancy distribution, in two and three dimensions. The number of gates is shown in the column Ng and r is the Rent exponent. The circuits numbered 1 through 5 are those used by Donath in [1], the others are the same as those used in [7].

"... In PAGE 7: ... The resulting experimental placements are therefore good samples of the optimal placement. The results are shown in Table1 . In this table, L2D exp denotes the experimentally measured value of the average in- terconnection length for a two-dimensional placement.... In PAGE 7: ...An experimental veri cation in three dimensions still requires a lot of research to nd a good algorithm for three-dimensional placement and routing. However, the comparison with experiments in two dimensions (column L2D exp in Table1 ), does show that estimates based on the non-uniform occupancy distribution are a lot more accurate than the ones based on the uniform occupancy distribution (Donath apos;s technique). Since the extension to three dimensions does not change the esti- mation method fundamentally, the same result is to be expected for three-dimensional systems.... In PAGE 7: ... Since the extension to three dimensions does not change the esti- mation method fundamentally, the same result is to be expected for three-dimensional systems. The last two columns of Table1 show the improve- ment for a three-dimensional placement over a two-di- mensional one for both techniques. One can see that the average interconnection length is lower for designs placed in a three-dimensional system than it is for de- signs placed in a two-dimensional system, especially for highly complex designs.... ..."

### Table 3: Evaluation of measurement{based admission rule with non{uniform weights.

"... In PAGE 13: ... (A speed{up of the admission test is proposed in Section 3.) Table3 gives the average number of admitted streams, the loss probability and Me for di erent values of p. We see from the table that the average number of connections increases as p decreases.... ..."

### Table 3 summarizes the agent apos;s design for the uniform and non-uniform con gurations.

"... In PAGE 30: ...Table3 : Summary of the design of the agents using the case-based function approximator for the double integrator. Factor Description Uniform Non-uniform Variables 3: position: p 2 [;11] velocity: v 2 [;11] acceleration: a 2 [;11] Case structure Number of actions: 6, equally spaced in [;11] Blending factor: =60% Distance functions Input space: Euclidean.... ..."