Avaldis 12: "z" left parenthesis, "x" , right parenthesis equals "f" Subscript, "o" , Baseline left parenthesis, "x" , right parenthesiszx=fox
12
Avaldis 13: "f" Subscript, "o" "b" , Baseline left parenthesis, "x" , right parenthesis equals left brace, "x" less than "b" : "z" left parenthesis, "x" , right parenthesis , "x" greater than "b" : negative "z" left parenthesis, 2 times "b" minus "x" , right parenthesis , right bracefobx=x<b:zx,x>b:−z2·b−x
13
Avaldis 14: "f" Subscript, "e" "b" , Baseline left parenthesis, "x" , right parenthesis equals left brace, "x" less than "b" : "z" left parenthesis, "x" , right parenthesis , "x" greater than "b" : "z" left parenthesis, 2 times "b" minus "x" , right parenthesis , right bracefebx=x<b:zx,x>b:z2·b−x
14
Periodic Extension of [-b,3b]
15
Avaldis 16: "g" left parenthesis, "x" , right parenthesis equals "f" Subscript, "e" "b" , Baseline left parenthesis, "x" minus floor ( ( "x" minus left parenthesis, negative "b" , right parenthesis ) / ( 3 times "b" minus left parenthesis, negative "b" , right parenthesis ) ) * ( 3 times "b" minus left parenthesis, negative "b" , right parenthesis ) , right parenthesisgx=febx−floor((x−−b)/(3·b−−b))*(3·b−−b)
16
Avaldis 17: "t" equals 0t=0
00
1010
17
Avaldis 18: "g" left parenthesis, "x" minus "t" , right parenthesisgx−t
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Avaldis 19: "g" left parenthesis, "x" plus "t" , right parenthesisgx+t
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Avaldis 20: 1 half times left parenthesis, "g" left parenthesis, "x" plus "t" , right parenthesis plus "g" left parenthesis, "x" minus "t" , right parenthesis , right parenthesis12·gx+t+gx−t
20
Window for plucked string
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Avaldis 22: "H" left parenthesis, "x" , "c" , right parenthesis equals left brace, "x" less than "c" : 0 , "x" greater than or equal to "c" : 1 , right braceHx,c=x<c:0,x≥c:1
22
Avaldis 23: left parenthesis, "H" left parenthesis, "x" , 0 , right parenthesis minus "H" left parenthesis, "x" , "b" , right parenthesis , right parenthesis times 1 half times left parenthesis, "g" left parenthesis, "x" plus "t" , right parenthesis plus "g" left parenthesis, "x" minus "t" , right parenthesis , right parenthesisHx,0−Hx,b·12·gx+t+gx−t
