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{SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 104 "These are the terms corre
sponding with the odd filters. Normalization factor (1/2)^2 is already
 included" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 133 "combine\n  (\n    eva
lf\n      (\n        expand\n           (\n             0.25*(cos(thet
a) + cos(3*(theta)))^2\n           )\n      )\n  );" }}{PARA 11 "" 1 "
" {XPPMATH 20 "6#,*-%$cosG6#,$%&thetaG\"\"#$\"*+++v$!\"*$\"*+++]#F,\"
\"\"*&$\"+++++D!#5F/-F%6#,$F(\"\"%F/F/*&$\"++++]7F3F/-F%6#,$F(\"\"'F/F
/" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 147 "combine\n  (\n    eva
lf\n      (\n        expand\n           (\n             0.25*(cos(thet
a-  Pi/4) + cos(3*(theta-  Pi/4)))^2\n           )\n      )\n  );" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#,*$\"+++++D!#5\"\"\"*&$\"+++++DF&F'-%$
cosG6#,$%&thetaG\"\"%F'!\"\"*&$\"++++]PF&F'-%$sinG6#,$F/\"\"#F'F'*&$\"
++++]7F&F'-F66#,$F/\"\"'F'F1" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 147 "combine\n  (\n    evalf\n      (\n        expand\n           (
\n             0.25*(cos(theta-2*Pi/4) + cos(3*(theta-2*Pi/4)))^2\n   \+
        )\n      )\n  );" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,*$\"+++++
D!#5\"\"\"*&$\"++++]PF&F'-%$cosG6#,$%&thetaG\"\"#F'!\"\"*&F$F'-F,6#,$F
/\"\"%F'F'*&$\"++++]7F&F'-F,6#,$F/\"\"'F'F1" }}}{EXCHG {PARA 0 "> " 0 
"" {MPLTEXT 1 0 147 "combine\n  (\n    evalf\n      (\n        expand
\n           (\n             0.25*(cos(theta-3*Pi/4) + cos(3*(theta-3*
Pi/4)))^2\n           )\n      )\n  );" }}{PARA 11 "" 1 "" {XPPMATH 
20 "6#,*$\"+++++5!\"*\"\"\"*&$\"+++++:F&F'-%$sinG6#,$%&thetaG\"\"#F'!
\"\"*&$F%F&F'-%$cosG6#,$F/\"\"%F'F1*&$\"+++++]!#5F'-F,6#,$F/\"\"'F'F'
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 205 "combine\n  (\n    eval
f\n      (\n        expand\n           (\n               0.25 * (cos (
theta)      + cos(3*(theta)))\n                    * (cos (theta-Pi/4)
 + cos(3*(theta-Pi/4)))\n\n           )\n      )\n  );" }}{PARA 11 "" 
1 "" {XPPMATH 20 "6#,.-%$cosG6#,$%&thetaG\"\"#$\")[$)Q))!\"*$F)!#5!\"
\"*&$\"+_pwn<F.\"\"\"-%$sinG6#,$F(\"\"%F3F3*&$\"*sM)Q))F.F3-F5F&F3F3*&
$\"+iZ$)Q))!#6F3-F%6#,$F(\"\"'F3F/*&$\"+gZ$)Q))F@F3-F5FBF3F3" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 213 "combine\n  (\n    evalf\n  \+
    (\n        expand\n           (\n                0.25 * (cos (thet
a)        + cos(3*(theta)))\n                     * (cos (theta-2*Pi/4
) + cos(3*(theta-2*Pi/4)))\n\n           )\n      )\n  );" }}{PARA 11 
"" 1 "" {XPPMATH 20 "6#,&-%$sinG6#,$%&thetaG\"\"#$!*+++D\"!\"**&$\"+++
+]7!#5\"\"\"-F%6#,$F(\"\"'F1!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 213 "combine\n  (\n    evalf\n      (\n        expand\n  \+
         (\n                0.25 * (cos (theta)        + cos(3*(theta)
))\n                     * (cos (theta-3*Pi/4) + cos(3*(theta-3*Pi/4))
)\n\n           )\n      )\n  );" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,0
-%$cosG6#,$%&thetaG\"\"#$!*(Q`NN!\"*$F)F,\"\"\"*&$\"+5y1rq!#5F.-%$sinG
6#,$F(\"\"%F.F.*&$\"*\"R`NNF,F.-F4F&F.F.*&F-F.-F%F5F.F.*&$\"+1R`NNF2F.
-F46#,$F(\"\"'F.F.*&F?F.-F%FBF.F." }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 219 "combine\n  (\n    evalf\n      (\n        expand\n  \+
         (\n                0.25 * (cos (theta-2*Pi/4) + cos(3*(theta-
2*Pi/4)))\n                     * (cos (theta-3*Pi/4) + cos(3*(theta-3
*Pi/4)))\n           )\n      )\n  );" }}{PARA 11 "" 1 "" {XPPMATH 20 
"6#,.-%$sinG6#,$%&thetaG\"\"#$!)Z$)Q))!\"*$\"\"\"!#5F.*&$\"+cpwn<F/F.-
F%6#,$F(\"\"%F.F.*&$\"+gZ$)Q))!#6F.-%$cosGF&F.!\"\"*&$\"+gZ$)Q))F:F.-F
<6#,$F(\"\"'F.F.*&$\"+gZ$)Q))F:F.-F%FBF.F=" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 0 "" }}}}{MARK "0 1 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 
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