# d.home - Numbers Polys MAS3300 g 2)= 3 Prof JLF King...

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MAS3300 Home-D Prof. JLF King 4Jun2008 Note. Please be sure to write expressions unambigu- ously e.g, the expression “1 /a + b ” should be bracketed either [1 /a ] + b or 1 / [ a + b ]. Be careful with negative signs! D1: Show no work; no partial credit. z Professor King sometimes gives freebie questions. ± ² ³ ´ Circle one: True What a guy! Who? a The ﬁnite set P ( P ( { 3-Stooges } ) ) has cardinal- ity ............. . b For A := { 1 , 2 , 3 , 4 } consider f : A P ( A ) by f (1) := { 3 , 4 } , f (2) := A, f (3) := , f (4) := { 1 , 4 } . The set B := { x A | f ( x ) 63 x } is B = ........... . c* Compute the β [ 0 .. 176 ) st. 15 · β 1 (mod 176). The Euclidean Alg. yields that β = .... . d* In let x be the rational number 0 . 2 16. Write x = p q for co-prime posints p = ....... , q = ....... . [ Hint: Look at the hint after (4.29).] e* Let α := 3 + 7. Redoing the computation of class, x 4 + .... x
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