### Table 1 In the test example, we regard a cooling line composed of one cooling segment followed by one air cooling area both with length equivalent to 15 seconds. Hence our cross section passes the whole plant in 30 seconds. The cooling segment contains two nozzle groups with 16 spray nozzles each, hence we have 9 control variables (see Fig. 6). This leads to 18 = 2 9 controls acting for 7.5 seconds on di erent time intervals and on di erent boundary parts. Following the notation of Section 2 we have m = 2; r = 2; p = 9: This geometry is shown in Figure 4. According to the general setting, for t1 we get the value 7:5 seconds.

1999

"... In PAGE 14: ...min F (#) = 3 X n=1 an #(T; Pn) (13) subject to c(#) (#) #t = div ( (#) grad #) (#) @n# = Pi;k uki ( ; ?i) (#)(#fl ? #) #(0; x) = #0(x); (14) to the control constraints 0 uki 1; (15) k = 1; 2; i = 1; :::; 9, (cooling segment), uki = 0, k = 3; 4; i = 1; :::; 9 (air cooling area), and subject to the state constraints j#(t; P ) ? #(t; Q )j ; = 1; ::; 3; = 1; ::; 9; (16) where T = 30 sec. For we choose the values = 8000 K/m, if the point P is compared with the point Q according to Table1 , and = 1 otherwise. In the computations we omit the constraints with = 1.... ..."

Cited by 15

### TABLE 2 Cooling schedules

in Performance Guided System Level Hardware/Software Partitioning with Iterative Improvement Heuristics

1995

Cited by 3

### TABLE 2 Cooling schedules

### Table 1. Hot and Cool Model Properties Hot Model Cool Model

in The Effects of Thermal Energetics on 3D Hydrodynamic Instabilities in Massive Protostellar Disks.

"... In PAGE 7: ...2. The Cool Model When the dimensionless Hot Model is interpreted in terms of physical units using Palla amp; Stahler (1992) in Table1 , we see that the stellar central temperature is reasonable, approaching the deuterium ignition point, but the disk is extremely hot because it is required to lie on the same adiabat as the star, which makes it somewhat resistant to nonaxisymmetric instabilities. The Toomre stability parameter for a thin disk is Q = cs G ; (2) where G is the universal gravitational constant, cs = ( P= )1=2 is the local adiabatic sound speed with = 5/3, and = @2 =@r2 + 3r?1(@ =@r) is the epicyclic frequency (Toomre 1964, see also Binney amp; Tremaine 1987).... In PAGE 7: ... Objects are locally unstable to nonaxisymmetric disturbances for Q somewhat greater than unity. As shown in Table1 and Figure 2, Q 2 to 3 over the disk region of the Hot Model. At these values, one expects transient swing ampli cation of nonaxisymmetric structure, but perhaps not a sustained instability.... In PAGE 9: ... 1989, Paper I). Table1 lists, for both models, the values of Jtot, M, Mdisk, Req, R , central stellar density c, surface density (r=Req = 0:5), midplane temperature Tm(r=Req = 0:5), Q(r=Req = 0:5), T=jW j, the MIRP and the ERP. The models correspond to an early stage in the evolution of a protostellar disk.... In PAGE 9: ... Any nonaxisymmetric instabilities that do grow will do so on time scales much shorter than the 105 years time scale for accretion. The disk temperatures in Table1 can be compared with rough estimates of disk photospheric temperatures derived from the accretion luminosity generated by rotational collapse to the equatorial plane (see formulas in Chick and Cassen 1997), which range from... ..."

### Table 1. Cooling schedules relations

"... In PAGE 3: ... Logarithmic cooling schedule gives a good optimum, and with this method the algorithm is efficient and fast enough. The relations between the four schedules can be seen in the following table, from the viewpoint of the final profit and the speed ( Table1 .).... ..."

### Table 6: Two Cooling Schemes

1998

"... In PAGE 10: ...e. the sum of all distances between consecutive cities in the particular route, generation of new routes from another one, by reversal of the path between two arbitrary cities (nodes), in order to de ne the predicate generate=2 (and first=1), cooling scheme given by the standard one in Table6 , to de ne cool=2 (and initial=1), and nally a stop criterion to de ne when the SA algorithm should return an approxi- mative solution (stop criterion). Although very limited work was spent on developing and testing the system, it was a very simple task to implement all these predicates and to undertake some test runs on \real-world quot; data.... In PAGE 11: ... We implement a simple algorithm to solve this optimisation problem using the generic SA algorithm in Table 5 to solve the MAX SAT problem. To do so, we have only to de ne the problem and domain speci c elements of the algorithm, data structures to represent the target CNF formula as an array of posi- tive and negative literals, and an assignment by a list of truth values, cost function to be minimised as the number of unsatis able clauses to de ne cost=1, generation of new assignments from another one, by negating the truth value for an element in the list representing the previous assignment, in order to de ne the predicate generate=2 (and first=1), cooling scheme similar to the one used for the TSP problem and depicted in Table6 , to de ne cool=2 (and initial=1), and nally a stop criterion to de ne when the SA algorithm should return an approxi- mative solution (stop criterion). 5 An Application: Randomised Rounding An alternative way which has been proposed for (approximately) solving the MAX SAT and other maximisation problems, like MAX CUT, etc.... ..."

Cited by 3

### Table 6: Two Cooling Schemes

1998

"... In PAGE 10: ...e. the sum of all distances between consecutive cities in the particular route, generation of new routes from another one, by reversal of the path between two arbitrary cities (nodes), in order to de ne the predicate generate=2 (and first=1), cooling scheme given by the standard one in Table6 , to de ne cool=2 (and initial=1), and nally a stop criterion to de ne when the SA algorithm should return an approxi- mative solution (stop criterion). Although very limited work was spent on developing and testing the system, it was a very simple task to implement all these predicates and to undertake some test runs on \real-world quot; data.... In PAGE 11: ... We implement a simple algorithm to solve this optimisation problem using the generic SA algorithm in Table 5 to solve the MAX SAT problem. To do so, we have only to de ne the problem and domain speci c elements of the algorithm, data structures to represent the target CNF formula as an array of posi- tive and negative literals, and an assignment by a list of truth values, cost function to be minimised as the number of unsatis able clauses to de ne cost=1, generation of new assignments from another one, by negating the truth value for an element in the list representing the previous assignment, in order to de ne the predicate generate=2 (and first=1), cooling scheme similar to the one used for the TSP problem and depicted in Table6 , to de ne cool=2 (and initial=1), and nally a stop criterion to de ne when the SA algorithm should return an approxi- mative solution (stop criterion). 5 An Application: Randomised Rounding An alternative way which has been proposed for (approximately) solving the MAX SAT and other maximisation problems, like MAX CUT, etc.... ..."

Cited by 3

### Table 1. The cooling function used

"... In PAGE 3: ... (1996). Temperature T is measured in Kelvins and in ergs?1 g?2 cm3 (see Table1 ). The energy source term describing the heating due to supernova explosions is ? = g(t)ESN V ; (6) where ESN is the explosion energy, V = x y z is the explosion volume, x = y = z is our spatial resolution and g(t) = 1 when t1 t t2.... In PAGE 7: ... These processes, and possibly also thermal instability for T gt; 105 K due to the properties of our cooling function (cf. Table1 ), produce some small scale motions inside the remnant. Vorticity production, however, was found to be weak.... ..."

### Table 5 Predicted cooling capacity and enhancement rate

in Simplified cooling capacity estimation model for top insulated metal ceiling radiant cooling panels

2004

"... In PAGE 16: ... In other word, the higher the discharge air velocity, the more enhanced cooling capacity can be obtained. On the other hand, the cooling capacity enhancement rates or percent ratios of capacity increment to the cooling capacity for the NC condition in both panels are presented in Table5 . It shows that panel cooling outputs for the steel panel and the aluminum panel are enhanced from 13% to 39% and from 10% to 30%, respectively.... ..."

### Table 3: Effectiveness of cooled and uncooled buildings.

"... In PAGE 11: ... Of the 19 laboratory buildings studied, one had no mechanical cooling, eight had negligible cooling capacity, and five were completely cooled by vapor compression. The effectiveness of these 14 buildings is shown in Table3 . The mean and median of the electrical consumption effectiveness for the uncooled buildings were 0.... ..."