NONPROBABILISTIC COMPUTATION OF THE ... - Project Euclid

1 downloads 0 Views 214KB Size Report
Jul 15, 1993 - der Mathematischen Wissenschaften 246, Springer-Verlag, Berlin, 1982. Department oF Mathematics, University oF St. Thomas, St. Paul, MN.
               

                             

 



            

 

     

   



   

                             

                       



 

   

     

 !     "

  

#$   $            %

%

 

        

!

               

"

  &  '                 

  







     (            

 

  

     





'       

      #$  (  $      (   

'   )*"     



      %

%

 

                  

!

    ' &             

"

            

 #$#% & '() #*)

         

            + 

  "

!

"

       

    

    ,          









'   

      -  

                      .      '    "   /                  





 

      0    0     

 0    0       

         !

%  %& '$(!' ($#($!%) ')$!  !"#$ ­ 112

!! 

113

' 





   &         "    -     

        

     

   

 "





            

 0  "   " 0     "    0  "   " 0       4    "        ¾ 5    5   .   "    -           "          "  " 5  "  5   '  







 

   

     -           



  

 "  "   /  !    "    

 

5    ""                       ""     "    " 5     0  "     ""      

 "     "        -       

                  " '

          





5  



 0  "   0        + / 

 

   "  "

  "     '     "       

      

  



! +# )) '(, & ( #(-## .#()#  (  ## )#.).*-# # /* %+ 0# ##                   (            "  ! #0 ! 

#  



 

%

%

"      

 &       0 "           

"  



   6

  





      

        

        



  ))   

                  

 



 

     

         

" # " $     $%&%$ %    

 ½ 

 "





          







  

  "          "  +    

  )7  / 

  

11*

 

        

+##. !1 "  

     



  







             ½  

 "   "   ½









   " 5 

" "

!2

( ( #$#%         

3 4           

  

     

         





       5  8   9          :        "

       

·         :

;  :   : 



: 



    

5





 

   





5

5

  " 

  ¡

 

   

  



               · 5      " ! ¼ 5  ½  '  ¼  5 ¼  ½  5  5   5









  )1 ?            

½         %          "  



& &    &    & 

'             

&

5

& & &



     

"



    &  &  &

 "  "      &               ¼    ¼  5   4          4    ¼  5             







#..( !    

  

&









 

¼  & 5 ¼ '

  '    "   "    " " 5 "        " " 5  '            &         " & "  %  & 5 &  &  &   &  &  & 

½  %                  '    &   @        5   5   ½         & ½ 5   A  " 5   "   " 5      "   "    ½ " @ 

 







" # " $     $%&%$ %     ½    ½  ½ 





5

)B

  ½  

%



111

'     '  

   5   '

#..( !    

¼  C 5 ¼ 

  

& "  ¼  C 5 ¼ 

C

& ¼ 



 

 

   '   "               &        " & "  %  @       5   5   ½    @   ½   ½       &   A  " 5   "   " 5 " ½ 5   ½    ½  ½ 5   ½       "   " %          #         

  

















'     '   )B

     5   '

#..( ! !   



 ""



 ""



    5 

 "" 5    "

  



 

 > 

#..( ! "





  



  :·            ¼ 5 ¼   & 



&

½    5      ·    '     5 ´  µ  "   5   "     " ( <    ½ ´  µ        )      &   5              * 0  0   ) "  + 0 0



+ 5  " Æ *

' 

*  +







   #

+  " 5  " *  "" 5  "

 



´  µ  ""

´  µ  "

5  

"

5  

"   ½ " 5    ½ 

 

5 





  "   "



½



'

"

½



!! 

C


 ! '             () & * +) ,  -.!  ! //               ! +! $+!  012  3!  ! //  + !             + 4 ! $+!  0.2 - . !  !          5!! , 6+7 8 9/ :!               #   +(( +!   ;!

Suggest Documents