TXM785
1
.
Note​
​TXM is the author’s initials, 785 is the author’s formula code
2
.
Caption​
Letthreearbitrarynumbersx,y,z.Thenwehave:​​1=
2
T
1
(

T
-ξ)

X
+
1

X

M
+
1

M
(

T
-ξ)
​​ =
2
X
1
(

X
-ξ)

M
+
1

M

T
+
1

T
(

X
-ξ)
​​ =
2
M
1
(

M
-ξ)

T
+
1

T

X
+
1

X
(

M
-ξ)
​​Where​​T=y(yz+zx-xy)-
2
z
x;

T
=xxy-
2
z
​​X=x(yz+zx-xy)-
2
z
y;

X
=yxy-
2
z
​​M=
(
2
z
-xy)(yz+zx-xy)
z
;

M
=
2
z
(x+y)​​ξ=
xy(x+y)
2
(yz+zx-xy)
-
4
z

2
(yz+zx-xy)
-xy
2
z
​​​​NOTE:Thetriple(x,y,z)ischosensothatthedenominatorsarenot0.
3
.
Code
In[]:=
TabView"TXM785"ManipulateGrid{"T","X","M","T'","X'","M'","ξ","\!\(\*SuperscriptBox[\(T\), \(2\)]\) (\!\(\*FractionBox[\(1\), \(\((T' - ξ)\) X'\)]\)+\!\(\*FractionBox[\(1\), \(X'\\ M'\)]\)+\!\(\*FractionBox[\(1\), \(M'\\ \((T' - ξ)\)\)]\))","\!\(\*SuperscriptBox[\nStyleBox[\"X\",\nFontWeight->\"Plain\"], \(2\)]\) (\!\(\*FractionBox[\(1\), \(\((X' - ξ)\)\\ M'\)]\)+\!\(\*FractionBox[\(1\), \(M'\\ T'\)]\)+\!\(\*FractionBox[\(1\), \(T'\\ \((X' - ξ)\)\)]\))","\!\(\*SuperscriptBox[\nStyleBox[\"M\",\nFontWeight->\"Plain\"], \(2\)]\) (\!\(\*FractionBox[\(1\), \(\((M' - ξ)\)\\ T'\)]\)+\!\(\*FractionBox[\(1\), \(T'\\ X'\)]\)+\!\(\*FractionBox[\(1\), \(X'\\ \((M' - ξ)\)\)]\))"},y(-(xy)+xz+yz)-x
2
z
,x(-(xy)+xz+yz)-y
2
z
,
(
2
z
-xy)(-(xy)+xz+yz)
z
,x(xy-
2
z
),y(xy-
2
z
),
2
z
(x+y),
xy(x+y)(
2
(-(xy)+xz+yz)
-
4
z
)
2
(-(xy)+xz+yz)
-xy
2
z
,1,1,1,FrameAll,FrameStyle{Orange,Thick},BackgroundLightBlue,{x,1},-10,10,
1
3
,Appearance"Labeled",{y,2},-10,10,
1
6
,Appearance"Labeled",{z,3},-10,10,
1
7
,Appearance"Labeled",LabelStyle{Red,Bold,FontFamilyTimes,FontSize30}
Out[]=
TXM785
​
x
1
y
2
z
3
T
X
M
T'
X'
M'
ξ
2
T
​
1
(T-ξ)X
+
1
XM
+
1
M(T-ξ)
​
2
X
​
1
(X-ξ)M
+
1
MT
+
1
T(X-ξ)
​
2
M
​
1
(M-ξ)T
+
1
TX
+
1
X(M-ξ)
​
5
-11
49
3
-7
-14
27
-
192
31
1
1
1
4
.
Related Links
​https://www.facebook.com/groups/453397409364044/posts/671149377588845/
5
.
Author information​
Trịnh Xuân Minh