Expression 7: "g" Subscript, 1 , Baseline left parenthesis, "a" , right parenthesis equals "w" Subscript, 2 , Baseline left parenthesis, "a" , right parenthesis plus "w" Subscript, 3 , Baseline left parenthesis, "a" , right parenthesis left brace, 0 less than or equal to "a" less than or equal to 1 , right braceg1a=w2a+w3a0≤a≤1
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Exact h functions from the paper
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Expression 9: "h" Subscript, 0 , Baseline left parenthesis, "a" , right parenthesis equals 1 minus StartFraction, "w" Subscript, 1 , Baseline left parenthesis, "a" , right parenthesis Over left parenthesis, "w" Subscript, 0 , Baseline left parenthesis, "a" , right parenthesis plus "w" Subscript, 1 , Baseline left parenthesis, "a" , right parenthesis , right parenthesis , EndFraction plus "a" left brace, 0 less than or equal to "a" less than or equal to 1 , right braceh0a=1−w1aw0a+w1a+a0≤a≤1
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Expression 10: "h" Subscript, 1 , Baseline left parenthesis, "a" , right parenthesis equals 1 plus StartFraction, "w" Subscript, 3 , Baseline left parenthesis, "a" , right parenthesis Over "w" Subscript, 2 , Baseline left parenthesis, "a" , right parenthesis plus "w" Subscript, 3 , Baseline left parenthesis, "a" , right parenthesis , EndFraction minus "a" left brace, 0 less than or equal to "a" less than or equal to 1 , right braceh1a=1+w3aw2a+w3a−a0≤a≤1
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Cheaper approximate h functions
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Expression 12: "h" Subscript, 0 "A" "p" "p" "r" "o" "x" , Baseline left parenthesis, "a" , right parenthesis equals 0.2 plus "a" times left parenthesis, 0.2 4 times "a" plus 0.5 6 , right parenthesis left brace, 0 less than or equal to "a" less than or equal to 1 , right braceh0Approxa=0.2+a·0.24·a+0.560≤a≤1
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Expression 13: "h" Subscript, 1 "A" "p" "p" "r" "o" "x" , Baseline left parenthesis, "a" , right parenthesis equals 1.0 plus "a" times left parenthesis, 0.2 4 times "a" minus 1.0 4 , right parenthesis left brace, 0 less than or equal to "a" less than or equal to 1 , right braceh1Approxa=1.0+a·0.24·a−1.040≤a≤1
