Unformatted text preview: + = δ β ; 3. (1pt) ) cos( ) ( , ) ( 2 d cx x f e x ax + = = − ; 4. (1pt) ) ( ), ( ) ( = Π = x f x x Ш (n) (x); 5. (1pt) ) ( ) ( ), ( ) ( ) ( ) ( x x f x x m n = = ; 6. (1pt) = + = ) ( ), ( ) ( x f b ax x Ш (x); 7. (1pt) ) sgn( ) ( ), ( ' ) ( x x f b ax x = + = . Recall the Ш (shah) generalized function : Ш (x)= ⎣ x ⎦ ’ (i.e. the derivative of the floor function ⎣ x ⎦ ). III. (Exercise 7.26) Find all generalized functions f that satisfy each of the following homogeneous equations. 8. (1pt) ) ( ) 1 ( 2 = ⋅ − x f x ; 9. (1pt) ) ( ) 1 ( 4 = ⋅ − x f x ; 10. (1pt) ) ( ) 1 ( 2 4 = ⋅ − x f x Total : 10 pts (1 point each)...
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 Spring '08
 staff
 matlab, Set Theory, Continuous function, Generalized function, fixed real parameter, convolution product β∗f

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