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ΠΛΗ30 ΜΑΘΗΜΑ 4.4 (ΕΚΤΥΠΩΣΗ)

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ΠΛΗ30 ΜΑΘΗΜΑ 4.4 (ΕΚΤΥΠΩΣΗ)

  1. 1. 30 4: 4.4: . . . –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
  2. 2. B. 5"' 1. . . " . . 1. "$ $ /+ . . . " . . # . % "( "$ $ /+( "!"$+ . $ 4.3 / " " /'( # 7 $#.+ 0' ( 1 2% " / " / #' " /% 6 $"$" # # $#.% $% $ $ 3 (. *! " #$ " % " &$' ( ) 5") : " $#.+ "& $ $ 1 2 6 ' ( . . ) "$ $ 6/"$ # " 6 # - $% $ $ 3 ( B. 5"' 1. . . " . . 2. "$ $ /+ . . " . . . +! " #$ " % " &$' ( ) 5") : " $% $ $ 3 ( "$ $ 6/"$ # " 6 # - $#.+ ' ( 1 2% " % "( "$ $ /+(: 8 $' !1 3 $ "# % , !1 3 $ $ 3 (, Q - ! . $ $ "' , q0 0#.+ . $ $ $ $ $ . • # "$ 3! $6( $ ( 7 $#.+( / . $ ." " " #: • S 0#.+ "$ 3! $+ • 7# . " 2"-7 ( . # • # . % "( $ ( 7 $#.+( . $ ." $ - '( "&+(: 1. # . " . $ $ / 6$ " $ . % : 2. # . " . $ ( 1+(: ( ! + . 1 " ( 3%! /% $ $ 3 ) 60 " $ . % : ( , )9" B. 5"' 1. . . " . . 2. "$ $ /+ . . " . . . ,! " #$ " % " &$' ( ) • # . % "( $ ( 7 $#.+( . $ ." $ - '( "&+(: 3. # . " . $ ( 1+(: ( ! + . $#. $ $ ( 3%!' $ $ 3 ) 60 " $ . % ' : %/ %! # # $ . $ $ "' . # $#. $ $ # /% / # +/ $" . $ $ . 4. # . " $"!#.+ . $ $ q / 6$ " $ . % ( , )9 …, B. 5"' 1. . . " . . 2. "$ $ /+ . . " . . . -! " #$ " % " &$' ( ) "#7 : 5 "$ $ 6: " $ "&+( $% $ ($ / 7 ' 2"# $ 7!) L= ! " # $: # "$ 3! $6( " # % & & & ' ' & ' ' & & & & & ' ' & & ' & ' # . % "( $ ( 7 $#.+( " #: 1. 6$ " $ ( "&+( . % "( (6 ( . % ( 7# . " . $ $ ) ( & & & ( & & ' . ./ (1, ) (0, )) ** (0, + ) *+ (1, )
  3. 3. B. 5"' 1. . . " . . 2. "$ $ /+ . . " . . . 0! " #$ " % " &$' ( ) (… 60"# …) 2) 6$ " $ ( . % "( / / .-/$ /% $#( .# + "#( 1 " ( 3%! /% $ $ #3 : 2. ) # $ . & , ' ' 2.3) # $ . ' , ' ' . ./ (1, ) ./ (1, ) B. 5"' 1. . . " . . 2. "$ $ /+ . . " . . . /! " #$ " % " &$' ( ) (… 60"# …) 3) 6$ " $ ( . % "( / / .-/$ /% $#( .# + "#( $ / / ( $ ( $ 3 ( 3. ) # $ . & & & & & - & & & & & & & & & - ' ' & & & & ' & & - & & & ' & & ' & & - ' ' & ' 3.3) # $ . & - & & & - & & - & & - & & & - ' ' , & & - ' & & - & & - ' & - ' & & - ' ' - ' 4) # $#( $"!#.6( . $ $ "#( / 6$ " $ ( . % "(: & .& & / ' & ' / . (0, + ) *+ . (0, )) ** B. 5"' 1. . . " . . 2. "$ $ /+ . . " . . . //! " #$ " % " &$' ( ) (… 60"# …) : 2 $ ( # . % "( / - /$ 0 - '( "&+( (. $ ( . $ !! !"( "$ "( $' "$ 3! $) 7# " # /# "-.! 7 ) # "(): 0'%"%01 21 ' 23 ' 4' &5'6'%"%&5167 41 &5'61%"%&5163 2' &5'5'%"%&5157 21 &5'51%"%&5153 4' 8 43 8 / / ' 7 $#.+ " # # # $" /" /! .+, / %! $ 7 ' 2"# $ 7!) . /! / $#.+( ' ( 1 2% " : 5 . " . / #"( /! / #+ "#( 7# $ 16 " " # /# . $ $+ 1+. B. 5"' 1. . . " . . 2. "$ $ /+ . . " . . . /! " #$ " % " &$' ( ) (… 60"# …) (1) 7# # "$ 3! $+ " 60"# # $" . % ( / / 7"# !! 3 ! "# , / - " "& 1 " . " " 1 # $ (, "& 1 2 $ ( . # . " . % / $+ " 1 2"$ #. $ / "#7 #)0 " $#( "$ 3! $6( 3 . # 3 (2) $#. # $ - " . " " 1 # $ ( Y4 " " . # $ 4 " 1. 0'%"%01 4' &5'6'%"% 8 41 &5'61%"%&21 9' &5'5'% 21 &5'51% %&51'% %' (3) 7# # "$ 3! $+ " 60"# # $" $" $#.%( . % ( . # " " # $% 60 " / 7'7+ . / # ( 3 ! "# (, $%$" "& 1 2 " $ "$ 3! $+ . # . " . % / $+ " 1 2"$ #. $ / "#7 %! # # . % "( " $ 1 1 # - $ #. 0'%"%01 4' / 41 &21 21 &51'%"%'
  4. 4. B. 5"' 1. . . " . . 2. "$ $ /+ . . " . . . /! " #$ " % " &$' ( ) (… 60"# …) (4) / - " " ' $) " /" " ( $ 1 $ ." $ #.% . % '( "&+(: %01% "/ 41 &21 21 &51'%"%' # '( . # $ 2: &21"/ 21 &51'%"%' ; $"!#.+ 7 $#.+ / / 7"$ # ( !! 2 $ ( $ % $ ( "$ 3! $+( 2 " ) " #:: : ;"< ; =!%"%! % $'( " # # ' $+ 7 $#.+ 7# $ 7!) $ $ $ L= ! " # $ B. 5"' 2. !"# $%$ $ $' !' ) ' ( 1 2% " /! " #$ " % " &$' ( ) 8 $' - 7!) "( 0' ( 1 2% " 6 ' $ ( " # 7!) 0' ( 1 2% " ( $ / " & " 6 ' $#.) . .) / " $ ( " # 7!) 0' ( 1 2% " ( $ / " & " 6 ' $#.) . .) $6 # Kleene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
  5. 5. B. 5"' 2. !"# $%$ $ $' !' ) ' ( 1 2% " 3. !"# $%$ $ $ $6 # Kleene /,! " #$ " % " &$' ( ) 5") ( !"# $%$ $ $' !' ) ' ( 1 2% " $ $6 # Kleene) L " # !) "& $ $ 1 2 6 ' $%$" . # L* " # !) "& $ $ 1 2 6 ' . /% "#& L " # "& $ $ 1 2 6 ' , / 7"$ # /% 7 $#.+ 0' ( 1 2% " , 6 $' " 0#.% . % S1 L* / 7"$ # /% $ 7 $#.+ 0' ( 1 2% " " 0#.% . % > :!:"< " # 0' ( 1 2% " . ; 60 " 6 . % 7# . " $ 7 $#.+ $ $" # - Kleene # ( 7!) (. .0. 7!) @ A & ' % %B # &$ / 7"$ # /% $ 7 $#.+: ( &( '"/ ; 7!) @E A & ' C % %B D # &$ A @G / 7"$ # /% $ 7 $#.+: ( "/ ( &( '"/ B. 5"' 2. !"# $%$ $ $' !' ) ' ( 1 2% " 4. < !"# $%$ $ $ + /-! " #$ " % " &$' ( ) # $ / " & " / 6/"# " & " %$# $ + - 7!' ) 0' ( 1 2% " " " # 7!) 0' ( 1 2% " ( ! + 3 - " 6 . $ !! ! $#/ "#7 ): 7 $# : • H' A I JC % B D # &} • H1 A C I J % B D # &} " # . # # - 0' ( 1 2% " (7# $#; ) $ + $ ( " # 7!) : H' K @1 A I J % B # &} / %/'( - " $ "/% " " " # 0' ( 1 2% " ( $ / " & " " $ !+ $ ( $! ( 7# 7!) "( 0' ( 1 2% " ). 0+! ' $+ " " $ 7"7 %$ ( %$# " 60 " .!"# $%$ $ $ / & $ ( $ +( " # %$# 60 " - 7!) "( 0' ( 1 2% " , $%$" $ + $ (: • / " " # 0' ( 1 2% " • / " " # 0' ( 1 2% " *" "# ! + %$# « ) "# . # . ! » " " # 0' ( 1 2% " . B. 5"' 2. !"# $%$ $ $' !' ) ' ( 1 2% " 5. < !"# $%$ $ $ /!+ ' /0! " #$ " % " &$' ( ) # $ / " & " / 6/"# " & " $ /!+ ' # ( 7!) ( 0' ( 1 2% " " " # 7!) 0' ( 1 2% " ( ! + 3 - " 6 . $ !! ! $#/ "#7 ): 7 $# : • H' A L , I J$G % %% L " 60"# a . # b} • H1 A L , I J$G % %% L " 60"# b . # c} / " # . # # - 0' ( 1 2% " (7# $#; ). %$" 6 ' $ ( " # 7!) HM A L , I J$G % %% L " 60"# a . # b + " 60"# b . # c } # " # 7!) 0' ( 1 2% " . %$" $ /!+ ' $ ( HM " # 7!) : HMN A L , I J$G % %% L=60"#= =>?=@=. #=A=B / %/'( - " $ "/% " " " # 0' ( 1 2% " ( $ / " & " " $ !+ $ ( $! ( 7# 7!) "( 0' ( 1 2% " ). 0+! ' $+ " " $ 7"7 %$ ( %$# " 60 " .!"# $%$ $ $ / & $ /! ) $ (, "# %$# $ /!+ ' # ( 7!) ( "& $ $ ( 1 2 6 ' : • / " " # 0' ( 1 2% " • / " " # 0' ( 1 2% " . .+ "#( 1 7+ 1 &"$ $" 60 " .!"# $%$ $ $ / & $ ( # 1 ( - 7!' ) $#( 7!) "( "& $ $"( 1 2 6 ' . ! " #$ " % " &$' ( )
  6. 6. . .+ "#( 1 7+ 2 *" 6 %$# 7!) L1 / 7"$ # /% 7 $#.+ "& $ $ 1 2 6 ' " 0#.% . % S1 . # 7!) L2 / 7"$ # /% 7 $#.+ "& $ $ 1 2 6 ' " 0#.% . % S2 / " &"$" %$# # .%! "( 7!) "( " # "& $ $"( 1 2 6 ' : 1. O@ F @ PG 2. O@ @ PGF O@ @ PG /! " #$ " % " &$' ( )

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