運算式 10: "n" Subscript, 1 , Baseline left parenthesis, "x" , right parenthesis equals StartFraction, max left parenthesis, 1 , StartNestedFraction, 1 NestedOver "a" , EndNestedFraction , right parenthesis Over 1 plus abs left parenthesis, StartNestedFraction, 1 NestedOver "a" , EndNestedFraction StartNestedFraction, "d" NestedOver "d" "x" , EndNestedFraction "f" left parenthesis, "x" , right parenthesis , right parenthesis , EndFractionn1x=max1,1a1+abs1addxfx
10
運算式 11: "n" Subscript, 2 , Baseline left parenthesis, "x" , right parenthesis equals StartFraction, max left parenthesis, 1 , StartNestedFraction, 1 NestedOver "a" , EndNestedFraction , right parenthesis Over StartRoot, 1 plus left parenthesis, StartNestedFraction, 1 NestedOver "a" , EndNestedFraction StartNestedFraction, "d" NestedOver "d" "x" , EndNestedFraction "f" left parenthesis, "x" , right parenthesis , right parenthesis squared , EndRoot , EndFractionn2x=max1,1a1+1addxfx2
11
運算式 12: "a" equals 1.6a=1.6
00
1010
12
~Gradient-normalized functions
13
運算式 14: "y" Subscript, 1 , Baseline left parenthesis, "x" , right parenthesis equals "f" left parenthesis, "x" , right parenthesis times "n" Subscript, 1 , Baseline left parenthesis, "x" , right parenthesisy1x=fx·n1x
14
運算式 15: "y" Subscript, 2 , Baseline left parenthesis, "x" , right parenthesis equals "f" left parenthesis, "x" , right parenthesis times "n" Subscript, 2 , Baseline left parenthesis, "x" , right parenthesisy2x=fx·n2x
15
For checking: their derivative
16
運算式 17: StartFraction, "d" Over "d" "x" , EndFraction left parenthesis, "y" Subscript, 1 , Baseline left parenthesis, "x" , right parenthesis , right parenthesisddxy1x
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運算式 18: StartFraction, "d" Over "d" "x" , EndFraction left parenthesis, "y" Subscript, 2 , Baseline left parenthesis, "x" , right parenthesis , right parenthesisddxy2x
