Expression 3: "z" equals left bracket, 0 , ... , "N" , right bracketz=0,...,N
equals=
00
11
22
33
44
55
66
77
3
Expression 4: "a" left parenthesis, "x" , "n" , right parenthesis equals StartFraction, 2 Over "n" pi , EndFraction sine left parenthesis, StartFraction, pi Over 2 , EndFraction "n" , right parenthesisax,n=2nπsinπ2n
4
Expression 5: "a" left parenthesis, "x" , "z" , right parenthesis cosine left parenthesis, "z" StartFraction, pi Over 2 , EndFraction "x" , right parenthesisax,zcoszπ2x
5
Expression 6: 1 half plus Start sum from "n" equals 1 to "N" , end sum, left parenthesis, "a" left parenthesis, "x" , "n" , right parenthesis cos left parenthesis, StartFraction, pi Over 2 , EndFraction "n" "x" , right parenthesis , right parenthesis12+N∑n=1ax,ncosπ2nx