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Lab_1_Poulos - H BME 341 Lab 1.1 ‘ Samuel T Poulos 1 28...

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Unformatted text preview: H ** BME 341 Lab 1.1 ‘ Samuel T. Poulos 1- 28- 09 ** L H * Lab 1: Synthetic Data * L H * General Commands * L Off @ General:: "spell" D ; Off @ General:: "spell1" D ; H * Create Synthetic Data * L ?Table Table @ expr , 8 i max <D generates a list of i max copies of expr . Table @ expr , 8 i , i max <D generates a list of the values of expr when i runs from 1 to i max . Table @ expr , 8 i , i min , i max <D starts with i = i min . Table @ expr , 8 i , i min , i max , di <D uses steps di . Table @ expr , 8 i , 8 i 1 , i 2 , … <<D uses the successive values i 1 , i 2 , … . Table A expr , 8 i , i min , i max < , 9 j , j min , j max = , … E gives a nested list. The list associated with i is outermost. à H * Table of Zeroes * L tab1 = Table @ 0, 8 10 < , 8 3 <D tab1 = Table @ 0, 8 a, 1, 10 < , 8 b, 1, 3 <D TableForm @ tab1 D 88 0, 0, 0 < , 8 0, 0, 0 < , 8 0, 0, 0 < , 8 0, 0, 0 < , 8 0, 0, 0 < , 8 0, 0, 0 < , 8 0, 0, 0 < , 8 0, 0, 0 < , 8 0, 0, 0 < , 8 0, 0, 0 << 88 0, 0, 0 < , 8 0, 0, 0 < , 8 0, 0, 0 < , 8 0, 0, 0 < , 8 0, 0, 0 < , 8 0, 0, 0 < , 8 0, 0, 0 < , 8 0, 0, 0 < , 8 0, 0, 0 < , 8 0, 0, 0 << H * Table of Integers * L tab2 = Table @ b + 3 * H a- 1 L , 8 a, 1, 10 < , 8 b, 1, 3 <D TableForm @ tab2 D 88 1, 2, 3 < , 8 4, 5, 6 < , 8 7, 8, 9 < , 8 10, 11, 12 < , 8 13, 14, 15 < , 8 16, 17, 18 < , 8 19, 20, 21 < , 8 22, 23, 24 < , 8 25, 26, 27 < , 8 28, 29, 30 << 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 H * Table of a Traveling Wave * L ?: = lhs : = rhs assigns rhs to be the delayed value of lhs . rhs is maintained in an unevaluated form. When lhs appears, it is replaced by rhs , evaluated afresh each time. à f @ a _ , b _ D : = Sin @H a ê 1000- b ê 30 L * Pi D ; tab3 = Table @ f @ a, b D , 8 a, 1, 1000 < , 8 b, 1, 30 <D ; tab3 @@ 1 DD tab3 @@ 1000 DD :- Sin B 97 p 3000 F ,- Sin B 197 p 3000 F ,- Sin B 99 p 1000 F ,- Sin B 397 p 3000 F ,- Sin B 497 p 3000 F ,- Sin B 199 p 1000 F ,- Sin B 697 p 3000 F ,- Cos B 703 p 3000 F ,- Cos B 201 p 1000 F ,- Cos B 503 p 3000 F ,- Cos B 403 p 3000 F ,- Cos B 101 p 1000 F ,- Cos B 203 p 3000 F ,- Cos B 103 p 3000 F ,- Cos B p 1000 F ,- Cos B 97 p 3000 F ,- Cos B 197 p 3000 F ,- Cos B 99 p 1000 F ,- Cos B 397 p 3000 F ,- Cos B 497 p 3000 F ,- Cos B 199 p 1000 F ,- Cos B 697 p 3000 F ,- Sin B 703 p 3000 F ,- Sin B 201 p 1000 F ,- Sin B 503 p 3000 F ,- Sin B 403 p 3000 F ,- Sin B 101 p 1000 F ,- Sin B 203 p 3000 F ,- Sin B 103 p 3000 F ,- Sin B p 1000 F> : Sin B p 30 F , Sin B p 15 F , 1 4 J- 1 + 5 N , Sin B 2 p 15 F , 1 2 , 5 8- 5 8 , Sin B 7 p 30 F , Cos B 7 p 30 F , 1 4 J 1 + 5 N , 3 2 , Cos B 2 p 15 F , 5 8 + 5 8 , Cos B p 15 F , Cos B p 30 F , 1, Cos B p 30 F , Cos B p 15 F , 5 8 + 5 8 , Cos B 2 p 15 F...
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Lab_1_Poulos - H BME 341 Lab 1.1 ‘ Samuel T Poulos 1 28...

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