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Lead-Lag Algorithms Lead-Lag Algorithms 1. Introduction This paper presents the deriva-tions of recurrence formulas used in the digital simulation of continuous dynamic response, as modeled by ordinary linear differential equations. Emphasis ...

Discrete-Time Simulation of First-Order Response - Background

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Discrete-Time Simulation of First-Order Response - Background 2.  Discrete-Time Sim-ulation of First-Order Response   2.1  Background   The first order lead/lag transfer function is a commonly used mathematical model for representing ...

Optimum First-Order Solution

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oefficient for both constant t and variable t is given by equation (2.2.3-4).  Furthermore, if we recall the power series expansion     we see that as D t goes to zero, A of equation (2.2.3-4) becomes simply A = D t/ t D .  Substituting ...

Discrete-Time Simulation of Second-Order Response

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Discrete-Time Simulation of Second-Order Response 3.  Discrete-Time Simulation of Second-Order Response   3.1  Background   This section treat the discrete-time simulation of any continuous dynamic relationship of the form     where x ...

Inverted Cellular Automata

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Inverted Cellular Automata Inverted Cellular Automata 0 -------* 1 00-0000* 2 ---1-00* 3 00-1000* 4 --00-10* 5 00000*0* 6 -10*0*0* 7 0*0*0*0* 8 ---1-10* 9 000*0*0* 10 -1-10*0* 11 0*-10*0* 12 --0*-10* 13 000*0*0* 14 -10*010* 15 01010101 16 ...

Inverted Cellular Automata, Table 2

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Inverted Cellular Automata, Table 2 Inverted Cellular Automata, Table 2 Singlets 23 0 3 5 6 7 1 5 6 2 2 3 2 4 4 3 5 5 5 6 1 2 7 0 1 2 4 51 0 7 1 6 2 5 3 4 4 3 5 2 6 1 7 0 77 0 7 1 1 7 2 0 2 3 6 3 0 3 4 4 7 5 1 4 5 7 6 0 6 7 0 105 0 1 2 4 7 1 ...

Table 3

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Table 3 Table 3: Number of k-bit Strings Filtered by the nth Rule This table gives the values of E_n(k) for the nth rule. The rules are identified by just one of the equivalence classes. A list of all the equivalence classes that share a ...

Table 4: Numbers of Primitive Excluded k-Bit Strings

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Table 4: Numbers of Primitive Excluded k-Bit Strings Table 4: Numbers of Primitive Exc-luded k-Bit Strings k 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Rule 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 37 0 0 0 0 0 0 0 0 5 6 14 23 39 56 103 135 248 22 ...

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