### Table 1- Methods for solving differential equations Method Message Description

"... In PAGE 3: ... In the more optimistic synchronization strategy we are currently developing, the objects encapsulating analog behavior may use a sufficient small time step as needed by the numerical integration, while synchronization with other objects will be made only when objects have to communicate events on interface signals. The analog objects have default methods, where the equations and parameters are included, as shown in Table1 . The Start method is responsible for the initialization of parameters, such as the integration step.... ..."

### Table I. The differential equation is solved numerically by the Runge-Kutta method with sampling time of 0.02 sec.

1990

Cited by 1

### Table 1. A qualitative comparison of the algebraic and constructive methods by some differentiating positive qualities

1999

"... In PAGE 6: ... An example is the determination of the planar configuration of n points using 2n-3 distance constraints by genetic evolution. A qualitative comparison of some prevailing factors of the two main approaches is provided in Table1 . The table lists some differentiating positive qualities that are of interest to CAD users and developers and attributes them to the appropriate approach.... ..."

Cited by 2

### Table 1: Evidence about some of the advantages in solving SCOPs via meta- heuristics instead of using exact classical methods.

2006

"... In PAGE 2: ... In contrast, approaches based on metaheuristics are capable of finding good and sometimes optimal solutions to problem instances of realistic size, in a generally smaller computation time. Table1 lists some papers in the literature providing evidence about the advantages in solving SCOPs1 via metaheuristics instead of using exact classical methods. This survey paper is the first attempt to put under a unifying view the several applications of metaheuristics to SCOPs, and it should contribute in balancing the literature, where a number of surveys and books about solving SCOPs via classical techniques exist, but none about using metaheuristics, despite the re- search literature is already quite rich.... In PAGE 2: ... Finally, section 6 highlights the conclusions. 1Legend for the SCOPs of Table1 : VRPSD = vehicle routing problem with stochastic demands, SCP = set covering problem, TSPTW = traveling salesman problem with stochastic time windows, PTSP = probabilistic traveling salesman problem, SSP = shop scheduling problem, SDTCP = stochastic discrete time-cost problem, SOPTC = sequential ordering problem with time constraints, VRPSDC = vehicle routing problem with stochastic demands and customers.... ..."

### Table 4. Hierarchical methods

"... In PAGE 9: ...methods 233 and direction vectors (PD), or on the domain of emitter and receiving point (PP). Table4 shows some contributions in this field: 7. STOCHASTIC OR MONTE-CARLO MEl-HODS All the methods in this section are based on the use of Markov Chains as the basic tool to solve for GI equation.... ..."

### Table 4. RMS Errors for the Experimental Results Estimation

"... In PAGE 8: ... These torque predictions are compared with the measured torques. Table4 shows the resulting RMS torque prediction errors. Inspection of the figures in this table shows that the WLS and ML methods are comparable with respect to their ability to predict the actuator torques.... ..."

### Table 2: Stochastic Production Frontier and Technical Efficiency Estimates

"... In PAGE 35: ... 5. Results Estimation of the Skill Index Table2 reports the results of stochastic production frontier and technical efficiency equations that are used to construct the skill index. As explained earlier, these estimates are carried out only for the self-... In PAGE 41: ... In the empirical analysis so far, we established that only the relatively skilled tenants obtain fixed rent contracts. In this section, we use the stochastic frontier estimates [ Table2 ] to directly establish the efficiency effects of different contract types. included some observations where both share and fixed rent is 0 although hire is equal to 1.... ..."

### Table 3. For experiments showing differential gene expres-

2003

"... In PAGE 8: ...red with our arrays using the S. cerevisiae elements. To this end, we spiked S. cerevisiae RNA in various amounts ( Table3 ). Generally, the microarrays give highly repro-... In PAGE 10: ... For straightforward biological experiments (such as the com- parison of cells logarithmically growing in different media, Figure 7A), biological repeats gave similar repro- ducibility to technical repeats. However, the variability of biological repeats tended to be higher than for technical repeats in many experiments where biological conditions could not be as tightly controlled ( Table3 ). Because the technical variability is consistently low in our arrays, we always use samples prepared from independent biological experiments to obtain repeated measurements on differ- ent arrays.... In PAGE 10: ... All experimental protocols, primer sequences, and the scripts for primer design and initial data processing are available from our website [29]. Methods Microarray construction: primer design, PCR reactions, and arraying Table3 : Reproducibility of array data Measurement Mean SD (Range) a) CV (Range) b) Within array replicates c) 0.... In PAGE 14: ...biomedcentral.com/1471-2164/4/27 3,4,5, and Table3 ), samples from cells growing in full vs minimal medium (four experiments; used in Figure 7A and Table 3), as well as samples from cells harvested by centrifugation vs filtration (one experiment; used in Table 3). Some data were acquired from previously published experiments, including samples from meiotic vs vegeta- tive cells ([16]; Table 1) and samples from oxidatively stressed vs unstressed cells ([17]; Table 3).... In PAGE 14: ...biomedcentral.com/1471-2164/4/27 3,4,5, and Table 3), samples from cells growing in full vs minimal medium (four experiments; used in Figure 7A and Table3 ), as well as samples from cells harvested by centrifugation vs filtration (one experiment; used in Table 3). Some data were acquired from previously published experiments, including samples from meiotic vs vegeta- tive cells ([16]; Table 1) and samples from oxidatively stressed vs unstressed cells ([17]; Table 3).... ..."

### TABLE IV DIFFERENTIAL EQUATION

1997

Cited by 6

### Table 1. The lter H4 and the entries in the corre- sponding M2( n). To nd orthonormal lters of length L, the above method leads to the wearying task of solving L2 nonlinear equations in L2 variables. However, by use of some Maple-routines we succeeded in generating Hd 6 and some orthogonal lter H8 corresponding to a wavelet with 4 vanishing moments.

1997

"... In PAGE 29: ...14) then by construction S(1 ? L=2) n = n, but it has a more e cient implementation as shown in Table 1. 1 Operation n n ] mult apos;s (L=2 + 1) n L n ] add apos;s L=2 n (L ? 1) n Table1 . The operation cost of ltering a set of n points using the pair of lters Hd L; Gd L by 2 di erent techniques.... In PAGE 43: ...43 Then by construction n = S(L=2 ? 1) n S(L=2 ? 1) n, but n has a more e cient implementation, as shown in Table 1. 1 Operation n n n n n ] mult apos;s 3 8Ln2 (L + 1)n2 2Ln2 ] add apos;s 7 8Ln2 Ln2 (2L ? 2)n2 Table1 . The operation-cost of ltering a set of n n points using the pair of lters Hd L; Gd L by 3 di erent tech- niques.... In PAGE 49: ...2). The two solution-sets are mirror-images of each other, it is the lter shown in Table1 that corresponds to our choice of rotation-matrix M2( k).... In PAGE 61: ...78 19.80 Table1 . Numerical results from testing the perfor- mance of cm;r on D2( ), D3( ).... ..."

Cited by 7