Expression 8: StartFraction, StartRoot, "n" , EndRoot "n" Superscript, "n" , Baseline Over StartRoot, 2 pi "k" left parenthesis, "n" minus "k" , right parenthesis , EndRoot "k" Superscript, "k" , Baseline left parenthesis, "n" minus "k" , right parenthesis Superscript, "n" minus "k" , Baseline , EndFractionnnn2πkn−kkkn−kn−k
undefined
8
Expression 9:
9
Voi laskea logaritmilla (huom log kymmenkantainen Desmoksessa):
10
Expression 11: "l" equals left parenthesis, "n" plus 1 half , right parenthesis log left parenthesis, "n" , right parenthesis negative 1 half log left parenthesis, 2 pi "k" left parenthesis, "n" minus "k" , right parenthesis , right parenthesis minus "k" log "k" minus left parenthesis, "n" minus "k" , right parenthesis log left parenthesis, "n" minus "k" , right parenthesisl=n+12logn−12log2πkn−k−klogk−n−klogn−k
equals=
55.2 9 5 4 5 5 4 1 7 355.2954554173
11
Expression 12: "a" Subscript, "n" "s" , Baseline equals 10 Superscript, mod left parenthesis, "l" , 1 , right parenthesis , Baseline times 10 Superscript, floor left parenthesis, "l" , right parenthesis , Baselineans=10modl,1·10floorl
equals=
1.9 7 4 4 9 2 1 7 6 5 times 10 to the 55th power1.9744921765×1055
12
Expression 13: nCr left parenthesis, "n" , "k" , right parenthesisnCrn,k
equals=
1.9 7 0 3 3 7 4 0 8 4 times 10 to the 55th power1.9703374084×1055
13
Expression 14:
14
Expression 15: 10 Superscript, mod left parenthesis, "l" , 1 , right parenthesis , Baseline10modl,1