**『齊次3項加法小程式B』**
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『示意圖』
※※※
[(2)(2)-(1)(3)][(2)(5)-(3)(4)]
+
[(2)(3)-(1)(4)][(1)(2)-(0)(3)]
=
[(2)(2)-(1)(3)][(2)(2)-(0)(4)]
+
[(2)(3)-(1)(4)][(2)(4)-(3)(3)]
※※※
解釋：(2)=(X^2+Y^2+Z^2)，如此類推。
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**『齊次3項加法小程式B』**
※※※
[(X^2+Y^2+Z^2)(X^2+Y^2+Z^2)-(X^1+Y^1+Z^1)(X^3+Y^3+Z^3)]
×
[(X^2+Y^2+Z^2)(X^5+Y^5+Z^5)-(X^3+Y^3+Z^3)(X^4+Y^4+Z^4)]
+
[(X^2+Y^2+Z^2)(X^3+Y^3+Z^3)-(X^1+Y^1+Z^1)(X^4+Y^4+Z^4)]
×
[(X^1+Y^1+Z^1)(X^2+Y^2+Z^2)-(X^0+Y^0+Z^0)(X^3+Y^3+Z^3)]
**=**
[(X^2+Y^2+Z^2)(X^2+Y^2+Z^2)-(X^1+Y^1+Z^1)(X^3+Y^3+Z^3)]
×
[(X^2+Y^2+Z^2)(X^2+Y^2+Z^2)-(X^0+Y^0+Z^0)(X^4+Y^4+Z^4)]
+
[(X^2+Y^2+Z^2)(X^3+Y^3+Z^3)-(X^1+Y^1+Z^1)(X^4+Y^4+Z^4)]
×
[(X^2+Y^2+Z^2)(X^4+Y^4+Z^4)-(X^3+Y^3+Z^3)(X^3+Y^3+Z^3)]
說明；
(1) 加法的意思是等號左右：AB+CD=EF+GH。
(2) 小程式成立的條件：XYZ=1。
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**範例：X=1/2, Y=2/3, Z=3。**
※※※
(((1/2)^2+(2/3)^2+3^2)((1/2)^2+(2/3)^2+3^2)-((1/2)^1+(2/3)^1+3^1)((1/2)^3+(2/3)^3+3^3))
×
(((1/2)^2+(2/3)^2+3^2)((1/2)^5+(2/3)^5+3^5)-((1/2)^3+(2/3)^3+3^3)((1/2)^4+(2/3)^4+3^4))
+
(((1/2)^2+(2/3)^2+3^2)((1/2)^3+(2/3)^3+3^3)-((1/2)^1+(2/3)^1+3^1)((1/2)^4+(2/3)^4+3^4))
×
(((1/2)^1+(2/3)^1+3^1)((1/2)^2+(2/3)^2+3^2)-((1/2)^0+(2/3)^0+3^0)((1/2)^3+(2/3)^3+3^3))
=
(((1/2)^2+(2/3)^2+3^2)((1/2)^2+(2/3)^2+3^2)-((1/2)^1+(2/3)^1+3^1)((1/2)^3+(2/3)^3+3^3))
×
(((1/2)^2+(2/3)^2+3^2)((1/2)^2+(2/3)^2+3^2)-((1/2)^0+(2/3)^0+3^0)((1/2)^4+(2/3)^4+3^4))
+
(((1/2)^2+(2/3)^2+3^2)((1/2)^3+(2/3)^3+3^3)-((1/2)^1+(2/3)^1+3^1)((1/2)^4+(2/3)^4+3^4))
×
(((1/2)^2+(2/3)^2+3^2)((1/2)^4+(2/3)^4+3^4)-((1/2)^3+(2/3)^3+3^3)((1/2)^3+(2/3)^3+3^3))
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(-20.27314814814)×129.07420267489
+
(-72.74922839506)×(-41.87037037037)
=
(-20.27314814814)×(-149.7978395061)
+
(-72.74922839506)×35.843364197530
※※※
**429.29670412761**
=
**429.29670412761**
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完

『齊次3項加法小程式B』

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