"f" left parenthesis, "x" , "y" , right parenthesisfx,y
"f" left parenthesis, "x" Subscript, 00 , Baseline , "y" Subscript, 00 , Baseline , right parenthesisfx00,y00
r1c3:
r2c3:
26
"Q" left parenthesis, "x" , "y" , right parenthesisQx,y
"Q" left parenthesis, "x" Subscript, 00 , Baseline , "y" Subscript, 00 , Baseline , right parenthesisQx00,y00
r1c3:
r2c3:
27
"E" "r" "r" "o" "r"Error
"E" Subscript, "r" "r" "o" "r" , Baseline left parenthesis, "x" Subscript, 00 , Baseline , "y" Subscript, 00 , Baseline , right parenthesisErrorx00,y00
r1c3:
r2c3:
28
Quaternary Input (Approximation Points)
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29
"x" Subscript, 000 , Baselinex000
"y" Subscript, 000 , Baseliney000
"f" left parenthesis, "x" Subscript, 000 , Baseline , "y" Subscript, 000 , Baseline , right parenthesisfx000,y000
"Q" left parenthesis, "x" Subscript, 000 , Baseline , "y" Subscript, 000 , Baseline , right parenthesisQx000,y000
"E" Subscript, "r" "r" "o" "r" , Baseline left parenthesis, "x" Subscript, 000 , Baseline , "y" Subscript, 000 , Baseline , right parenthesisErrorx000,y000
negative 2−2
2.12.1
r1c6:
44
negative 3−3
r2c6:
r3c6:
30
Formulas
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31
運算式 32: StartFraction, ∂ squared "f" Over ∂ "x" squared , EndFraction left parenthesis, "x" , "y" , right parenthesis equals "f" Subscript, "x" "x" , Baseline left parenthesis, "x" , "y" , right parenthesis∂2f∂x2x,y=fxxx,y
32
運算式 33: StartFraction, ∂ squared "f" Over ∂ "y" ∂ "x" , EndFraction left parenthesis, "x" , "y" , right parenthesis equals "f" Subscript, "x" "y" , Baseline left parenthesis, "x" , "y" , right parenthesis∂2f∂y∂xx,y=fxyx,y
33
運算式 34: StartFraction, ∂ squared "f" Over ∂ "x" ∂ "y" , EndFraction left parenthesis, "x" , "y" , right parenthesis equals "f" Subscript, "y" "x" , Baseline left parenthesis, "x" , "y" , right parenthesis∂2f∂x∂yx,y=fyxx,y
34
運算式 35: StartFraction, ∂ squared "f" Over ∂ "y" squared , EndFraction left parenthesis, "x" , "y" , right parenthesis equals "f" Subscript, "y" "y" , Baseline left parenthesis, "x" , "y" , right parenthesis∂2f∂y2x,y=fyyx,y
35
運算式 36: "Q" left parenthesis, "x" , "y" , right parenthesis equals "f" left parenthesis, "x" Subscript, 0 , Baseline , "y" Subscript, 0 , Baseline , right parenthesis positive "f" Subscript, "x" , Baseline left parenthesis, "x" Subscript, 0 , Baseline , "y" Subscript, 0 , Baseline , right parenthesis left parenthesis, "x" negative "x" Subscript, 0 , Baseline , right parenthesis positive "f" Subscript, "y" , Baseline left parenthesis, "x" Subscript, 0 , Baseline , "y" Subscript, 0 , Baseline , right parenthesis left parenthesis, "y" negative "y" Subscript, 0 , Baseline , right parenthesis positive 1 half "f" Subscript, "x" "x" , Baseline left parenthesis, "x" Subscript, 0 , Baseline , "y" Subscript, 0 , Baseline , right parenthesis left parenthesis, "x" negative "x" Subscript, 0 , Baseline , right parenthesis squared positive "f" Subscript, "x" "y" , Baseline left parenthesis, "x" Subscript, 0 , Baseline , "y" Subscript, 0 , Baseline , right parenthesis left parenthesis, "x" negative "x" Subscript, 0 , Baseline , right parenthesis left parenthesis, "y" negative "y" Subscript, 0 , Baseline , right parenthesis positive 1 half "f" Subscript, "y" "y" , Baseline left parenthesis, "x" Subscript, 0 , Baseline , "y" Subscript, 0 , Baseline , right parenthesis left parenthesis, "y" negative "y" Subscript, 0 , Baseline , right parenthesis squaredQx,y=fx0,y0+fxx0,y0x−x0+fyx0,y0y−y0+12fxxx0,y0x−x02+fxyx0,y0x−x0y−y0+12fyyx0,y0y−y02
36
Perspective View
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37
運算式 38: theta Subscript, "h" "o" "r" "i" "z" "o" "n" "t" "a" "l" , Baseline equals negative 0.5θhorizontal=−0.5
