TXM778: (2,4).3.7 EQUATION
1
. Note
TXM is the author’s initials, 778 is the author’s formula code
k.m.n equation is an equation of the form++...+=++...+. In case k can take on more than one value, they are shown inside the sign ().
TXM is the author’s initials, 778 is the author’s formula code
k.m.n equation is an equation of the form
k
x
1
k
x
2
k
x
n
k
y
1
k
y
2
k
y
m
2
.Caption
Lettwoarbitrarynumbersx,y.Thenwehave:++=++++++Where=3+9+12y+14-4x+;=3-6xy-;=23-;=163+2xy-;=4xy=3+-4+;=4xy-4+=4xy3-2xy-3+;=3-2xy-;=2k=2,4
k
x
1
k
x
2
k
x
3
k
x
4
k
x
5
k
x
6
k
x
7
k
x
8
k
x
9
k
x
10
x
1
2
x
2
y
4
x
3
x
2
x
2
y
3
y
4
y
x
2
2
x
2
y
2
3+
2
x
2
y
x
3
2
x
2
y
2
3+
2
x
2
y
x
4
2
x
2
y
2
x
2
y
x
5
2
3+2xy-
2
x
2
y
x
6
2
x
2
y
2
x
2
y
2
3-
2
x
2
y
x
7
2
x
2
y
2
3-
2
x
2
y
x
8
2
x
2
y
2
x
2
y
x
9
2
x
2
y
2
3+
2
x
2
y
x
10
3
3+
2
x
2
y
3
.Code
In[]:=
TabView"TXM778"->ManipulateGrid,,,,,,,,,,++,++++++,(3+)(9+12y+14-4x+),(3-6xy-),2(3-),16(3+2xy-),4xy,(3+)(-4+),4xy(-4+),4xy(3-2xy-)(3+),(3-2xy-),2,++,++++++,Frame->All,FrameStyle->Hue[.6,.4,.8],Background->{None,{{None,GrayLevel[.9]}},{{1,1}->Hue[.6,.2,1],{1,2}->Hue[.6,.2,1],{1,3}->Hue[.6,.2,1],{1,4}->Hue[.6,.2,1],{1,5}->Hue[.6,.2,1],{1,6}->Hue[.6,.2,1],{1,7}->Hue[.6,.2,1],{1,8}->Hue[.6,.2,1],{1,9}->Hue[.6,.2,1],{1,10}->Hue[.6,.2,1],{1,11}->Hue[.0,.2,4],{1,12}->Hue[.0,.2,4]}},BaseStyle->{FontFamily->Times,FontSize->20},Column[{Row[{Control@{{k,2,Style["k",15]},2,4,2,Appearance->"Labeled"},Control@{{y,2,Style["y",15]},-5,5,1/6,Appearance->"Labeled"}}],Row[{Control@{{x,1,Style["x",15]},-5,5,1/6,Appearance->"Labeled"}}]}],SaveDefinitions->True,LabelStyle->{Red,Bold,FontFamily->Times,FontSize->30}
"x"
"1"
"x"
"2"
"x"
"3"
"x"
"4"
"x"
"5"
"x"
"6"
"x"
"7"
"x"
"8"
"x"
"9"
"x"
"10"
k
"x"
"1"
k
"x"
"2"
k
"x"
"3"
k
"x"
"4"
k
"x"
"5"
k
"x"
"6"
k
"x"
"7"
k
"x"
"8"
k
"x"
"9"
k
"x"
"10"
2
x
2
y
4
x
3
x
2
x
2
y
3
y
4
y
2
x
2
y
2
(3+)
2
x
2
y
2
x
2
y
2
(3+)
2
x
2
y
2
x
2
y
2
x
2
y
2
(3+2xy-)
2
x
2
y
2
x
2
y
2
x
2
y
2
(3-)
2
x
2
y
2
x
2
y
2
(3-)
2
x
2
y
2
x
2
y
2
x
2
y
2
x
2
y
2
(3+)
2
x
2
y
3
(3+)
2
x
2
y
k
((3+)(9+12y+14-4x+))
2
x
2
y
4
x
3
x
2
x
2
y
3
y
4
y
k
((3-6xy-))
2
x
2
y
2
(3+)
2
x
2
y
k
(2(3-))
2
x
2
y
2
(3+)
2
x
2
y
k
(16(3+2xy-))
2
x
2
y
2
x
2
y
k
(4xy)
2
(3+2xy-)
2
x
2
y
k
((3+)(-4+))
2
x
2
y
2
x
2
y
2
(3-)
2
x
2
y
k
(4xy(-4+))
2
x
2
y
2
(3-)
2
x
2
y
k
(4xy(3-2xy-)(3+))
2
x
2
y
2
x
2
y
k
((3-2xy-))
2
x
2
y
2
(3+)
2
x
2
y
k
(2)
3
(3+)
2
x
2
y
Out[]=
TXM778
5
.Author information

