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Unformatted text preview: Values of ZFunctions Outline Values of ZFunctions Monday, September 20th, 2010. Values of ZFunctions Outline Outline 1 More Complex Functions Overview 2 Polar Form Integral Powers of Z Fractional Powers of Z Log Fnctns of Z Branch Cuts Conclusion 3 Homework Values of ZFunctions Outline Outline 1 More Complex Functions Overview 2 Polar Form Integral Powers of Z Fractional Powers of Z Log Fnctns of Z Branch Cuts Conclusion 3 Homework Values of ZFunctions Outline Outline 1 More Complex Functions Overview 2 Polar Form Integral Powers of Z Fractional Powers of Z Log Fnctns of Z Branch Cuts Conclusion 3 Homework Values of ZFunctions More Complex Functions Overview Polar Form Integral Powers of Z Fractional Powers of Z Log Fnctns of Z Branch Cuts Conclusion Homework Overview Topics Values of ZFunctions More Complex Functions Overview Polar Form Integral Powers of Z Fractional Powers of Z Log Fnctns of Z Branch Cuts Conclusion Homework Poll Definition How many values does the following function have: z n (A) 0 values (B) 1 value (C) n values (D) inf. values Values of ZFunctions More Complex Functions Overview Polar Form Integral Powers of Z Fractional Powers of Z Log Fnctns of Z Branch Cuts Conclusion Homework Poll Definition How many values does the following function have: z 1 n (A) 0 values (B) 1 value (C) n values (D) inf. values Values of ZFunctions More Complex Functions Overview Polar Form Integral Powers of Z Fractional Powers of Z Log Fnctns of Z Branch Cuts Conclusion Homework Poll Definition How many values does the following function have: log ( z ) (A) 0 values (B) 1 value (C) n values (D) inf. values Values of ZFunctions More Complex Functions Overview Polar Form Integral Powers of Z Fractional Powers of Z Log Fnctns of Z Branch Cuts Conclusion Homework Values? Single, Multiple, and Infinite Vavlues To state the conclusion we will find that: Fctns of Powers of z have: 1 value. Fctns of Fractional Powers of z have: nvalues. Fctns of log’s of z have: inf. no. of values Why? Values of ZFunctions More Complex Functions Overview Polar Form Integral Powers of Z Fractional Powers of Z Log Fnctns of Z Branch Cuts Conclusion Homework Values? Single, Multiple, and Infinite Vavlues To state the conclusion we will find that: Fctns of Powers of z have: 1 value. Fctns of Fractional Powers of z have: nvalues. Fctns of log’s of z have: inf. no. of values Why? Values of ZFunctions More Complex Functions Overview Polar Form Integral Powers of Z Fractional Powers of Z Log Fnctns of Z Branch Cuts Conclusion Homework Values? Single, Multiple, and Infinite Vavlues To state the conclusion we will find that: Fctns of Powers of z have: 1 value....
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This note was uploaded on 10/02/2010 for the course CIVIL ENGI 09332005 taught by Professor Kaiminshi during the Spring '10 term at Hong Kong Baptist University, China.
 Spring '10
 Kaiminshi
 Environmental Engineering

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