### Table 1. Properties of input devices with accompanying explanations.

2007

Cited by 1

### Table 1: Rational Operations

1994

Cited by 47

### Table 2. The rational operations

2007

"... In PAGE 6: ... We briefly describe some of them below. Table2 shows the library operations for the sum, product, and Kleene closure of weighted transducers. Both destructive implementations, using the Thompson construction, and lazy implementations are provided.... ..."

Cited by 1

### Table 2 Di erences in utilities between rational and boundedly rational agents

in in

"... In PAGE 18: ...Table2 around here] The overall ranking of the rational agent for the same rates of experimentation, are presented in table 3. For the given rate of experimentation, the frequencies are computed by ranking utilities of the rational and N boundedly rational agents from the lowest to the highest at the end of each t for T max periods in 5 simulations.... ..."

### Table 4. Example of Rational Buyer Procedure Existing Procedure Rational Buyer

"... In PAGE 45: ... As an example, consider the following AS requirements: 1,500 MW of regulation, and 1,000 MW each of spinning, non-spinning, and replacement reserves. Under the existing procedure, market-clearing prices (MCP) presented in Table4 are obtained. If the rational buyer procedure is applied, then the MW purchased and the resulting prices change according to the right side of Table 4.... In PAGE 45: ... That is, 2,500 MW of regulation would be paid at $20/MW, and so on. The total payments to AS providers would be $95,000 (see Table4 ). AS buyers settlement would be based on the preliminary AS requirements (before the Rational Buyer procedure) and the final MCPs.... ..."

### Table 3 Ranking of rational agent

2001

"... In PAGE 18: ... Clearly, the ranking of the rational agent worsens with the increases in the rate of experimentation. [ Table3 around here] 6. Concluding Remarks This paper examined the behavior of the exchange rate in the model with bound- edly rational agents who update their savings and portfolio decisions using a simple evolutionary algorithm based on imitation and experimentation.... ..."

Cited by 3

### Table 3 Ranking of rational agent

in in

"... In PAGE 18: ... Clearly, the ranking of the rational agentworsens with the increases in the rate of experimentation. [ Table3 around here] 6. Concluding Remarks This paper examined the behavior of the exchange rate in the model with bound- edly rational agents who update their savings and portfolio decisions using a simple evolutionary algorithm based on imitation and experimentation.... ..."

### Table 1: Error in rational interpolant.

2006

"... In PAGE 14: ... Figure 1 shows plots of the rational interpolant with d = 3 for respectively n = 10, 20, 40, 80. The second column of Table1 shows the numerically computed errors in this example, for n up to 640, and they confirm the fourth order approximation predicted by Theorem 2. Figure 2 shows plots of the rational interpolant of the function f(x) = sin(x) at the same equally spaced points as in the previous example, but this time with d = 4.... In PAGE 14: ... Figure 2 shows plots of the rational interpolant of the function f(x) = sin(x) at the same equally spaced points as in the previous example, but this time with d = 4. The third column of Table1 shows the computed errors, which confirm the fifth order approximation predicted by Theorem 2. One advantage of the rational interpolants is the ease with which we can change the degree d of the blended polynomials.... ..."

Cited by 2

### Table 1 Examples of rational reductions

2002

"... In PAGE 5: ...4. Rationalreductions It is easy to see that all the rational linear reductions are based on a modular relation au + bu = 0 (mod k) and the associated reduction are then deFFned by R(u; v)=|au+bv|=k (see Table1 ).Let c denotes the modular quotient of u by v modulo k, i.... ..."