By John Holland

ISBN-10: 0201407930

ISBN-13: 9780201407938

ISBN-10: 0201442302

ISBN-13: 9780201442304

Al readers how Complexity--the watershed technology time table for no less than the nexttwo decades--is affecting our lives.

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**Extra info for Hidden order: How adaptation builds complexity**

**Sample text**

Consider the same circuit as above (Fig. 9). 5 (W ). 60) Assume that the design resistor is R9 . Based on the results of Sect. 1, one conducts 3 experiments by assigning 3 different values to R9 , and measuring the corresponding currents I1 , I3 and I9 , passing through the resistors R1 , R3 and R9 , respectively. In this problem, one also needs to measure the voltage across R1 and R3 from one of the experiments. 2 summarize the numerical values for this example, obtained from the experiments. 13), for the current I9 , yields |M| = 0, for all cases.

3). 1 Current Control 47 Fig. 4 In a linear AC circuit, the functional dependency of any current phasor Ii on the independent sources can be determined by m measurements of the current phasor Ii obtained for m linearly independent sets of values of the source vector q = [q1 , q2 , . . , qm ]T . 1 Power Control Using a Single Impedance In this problem, our objective is to control the complex power Pi , in the impedance Z i , located in the i-th branch of an unknown linear AC circuit, by adjusting any impedance Z j at an arbitrary location of the circuit.

54), one may find two ranges of values for the design resistance Ri . 2 Power Level Control Using Two Resistors In this case it is desired to control the power level Pi , by adjusting any two resistors R j and Rk at arbitrary locations of the circuit. Assuming that R j and Rk are not gyrator resistances, and based on the results of Sect. 2, we have the following theorem. 7 In a linear DC circuit, the functional dependency of the power level Pi , in any resistor Ri , on any two resistances R j and Rk can be determined by at most 7 measurements of the currents Ii (passing through Ri ) obtained for 7 different sets of values (R j , Rk ), and 1 measurement of the voltage across the resistor Ri , corresponding to one of the resistance settings.

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