Avaldis 5: 2 plus cosine left parenthesis, StartFraction, 2 pi "x" Over "l" , EndFraction , right parenthesis left parenthesis, 1 half plus 1 half cos left parenthesis, StartFraction, 2 pi left parenthesis, "x" minus "X" , right parenthesis Over "L" , EndFraction , right parenthesis , right parenthesis2+cos2πxl12+12cos2πx−XL
5
Avaldis 6: absolute value left parenthesis, "y" minus 2 , right parenthesis less than 1 left brace, 2 minus 1 half minus 1 half cos left parenthesis, StartFraction, 2 pi left parenthesis, "x" minus "X" , right parenthesis Over "L" , EndFraction , right parenthesis less than or equal to "y" less than or equal to 2 plus 1 half plus 1 half cos left parenthesis, StartFraction, 2 pi left parenthesis, "x" minus "X" , right parenthesis Over "L" , EndFraction , right parenthesis , right braceabsy−2<12−12−12cos2πx−XL≤y≤2+12+12cos2πx−XL
6
Avaldis 7: "X" equals 0X=0
negative 10−10
1010
7
Avaldis 8: "f" left parenthesis, "x" , "x" Subscript, 0 , Baseline , right parenthesis equals 1 half StartFraction, sin left parenthesis, StartNestedFraction, 2 pi "x" NestedOver "l" , EndNestedFraction , right parenthesis Over StartNestedFraction, 2 pi NestedOver "l" , EndNestedFraction , EndFraction plus 1 quarter StartFraction, sin left parenthesis, 2 pi "x" left parenthesis, StartNestedFraction, 1 NestedOver "l" , EndNestedFraction plus StartNestedFraction, 1 NestedOver "L" , EndNestedFraction , right parenthesis minus StartNestedFraction, 2 pi "x" Subscript, 0 , Baseline NestedOver "L" , EndNestedFraction , right parenthesis Over 2 pi left parenthesis, StartNestedFraction, 1 NestedOver "l" , EndNestedFraction plus StartNestedFraction, 1 NestedOver "L" , EndNestedFraction , right parenthesis , EndFraction plus 1 quarter StartFraction, sin left parenthesis, 2 pi "x" left parenthesis, StartNestedFraction, 1 NestedOver "l" , EndNestedFraction minus StartNestedFraction, 1 NestedOver "L" , EndNestedFraction , right parenthesis plus StartNestedFraction, 2 pi "x" Subscript, 0 , Baseline NestedOver "L" , EndNestedFraction , right parenthesis Over 2 pi left parenthesis, StartNestedFraction, 1 NestedOver "l" , EndNestedFraction minus StartNestedFraction, 1 NestedOver "L" , EndNestedFraction , right parenthesis , EndFractionfx,x0=12sin2πxl2πl+14sin2πx1l+1L−2πx0L2π1l+1L+14sin2πx1l−1L+2πx0L2π1l−1L
8
Avaldis 9: 4 plus StartFraction, "f" left parenthesis, "x" plus StartNestedFraction, "L" NestedOver 2 , EndNestedFraction , "x" , right parenthesis minus "f" left parenthesis, "x" minus StartNestedFraction, "L" NestedOver 2 , EndNestedFraction , "x" , right parenthesis Over "L" , EndFraction4+fx+L2,x−fx−L2,xL
9
Avaldis 10: absolute value left parenthesis, "y" minus 1.7 , right parenthesis greater than or equal to 3 left brace, negative StartFraction, "L" Over 2 , EndFraction less than or equal to "x" less than or equal to StartFraction, "L" Over 2 , EndFraction , right braceabsy−1.7≥3−L2≤x≤L2
